Abstract
Objective
This article reports new anthropometric information of U.S. firefighters for fire apparatus design applications (Study 1) and presents a data method to assist in firefighter anthropometric data usage for research-to-practice propositions (Study 2).
Background
Up-to-date anthropometric information of the U.S. firefighter population is needed for updating ergonomic and safety specifications for fire apparatus.
Method
A stratified sampling plan of three-age by three-race/ethnicity combinations was used to collect anthropometric data of 863 male and 88 female firefighters across the U.S. regions; 71 anthropometric dimensions were measured (Study 1). Differences among original, weighted, and normality transformed data from Study 1 were compared to allowable observer errors (Study 2).
Results
On average, male firefighters were 9.8 kg heavier and female firefighters were 29 mm taller than their counterparts in the general U.S. population. They also have larger upper-body builds than those of the general U.S. population. The data in weighted, unweighted, and normality transformed modes were compatible among each other with a few exceptions.
Conclusion
The data obtained in this study provide the first available U.S. national firefighter anthropometric information for fire apparatus designs. The data represent the demographic characteristics of the current firefighter population and, except for a few dimensions, can be directly employed into fire apparatus design applications without major weighting or nonnormality concerns.
Application
The up-to-date firefighter anthropometric data and data method will benefit the design of future fire apparatus and protective equipment, such as seats, body restraints, cabs, gloves, and bunker gear.
Keywords: firefighter, anthropometry, cab, protective equipment, body build, apparatus
Introduction
The National Fire Protection Association (NFPA) estimated that there were approximately 1,103,300 firefighters in the United States in 2010 (Karter & Stein, 2011). The average rate of fatal workplace injuries to firefighters was 16.6 per 100,000 employed, which was 4.15 times higher than the 4 per 100,000 rate for all workers in 2006 (U.S. Department of Labor [DOL], 2006). In addition, firefighters sustained approximately 71,875 injuries in 2010 as reported by the NFPA (Karter & Molis, 2011). A National Fallen Firefighters Foundation white paper reported that firefighter anthropometry for fire apparatus and protective equipment design (e.g., cabs, seats, body restraints, egresses, bunker gear) is a pressing issue to protect firefighters from being killed in crashes and rollover incidents, falls from vehicles, and excessive thermal and chemical exposures (Routley, 2006). Various concerned parties, including professional associations, fire apparatus standards committees, and apparatus manufacturers, jointly advocated for an anthropometric survey of U.S. firefighters to advance fire apparatus designs.
Anthropometry databases on U.S. firefighters are very limited. Veghte (1991) reported 30 measurements of 20 firefighters with a focus on protective clothing application. Hsiao, Long, and Snyder (2002) reported 14 measurements of 189 protective services persons (including firefighters) based on the National Health and Nutrition Examination Survey database of 1988 to 1994. A recent British anthropometry survey of 316 female firefighters reported data of 61 measurements for personal protective equipment design use (Stirling, n.d.). An anthropometry study of 122 firefighters was also reported for seat belt evaluation (U.S. Department of Commerce, 2008). Most of these data were collected without fire gear, rendering them applicable for some applications such as seat height determination and mask design but insufficient for some applications such as seat belt design and cab space arrangement in that firefighters typically ride fire trucks while in gear. In addition, these studies were limited to a few specific applications and their sample size. The recent large-scale Civilian American and European Surface Anthropometry Resource (CAESAR) survey offered a good potential for some product design applications (Harrison & Robinette, 2002). However, CAESAR has major limitations in its applications to fire apparatus designs in that it is a generic anthropometric study of subjects drawn from 15 sectors of industry; not one firefighter was included in the total sample of 2,353 subjects. It has been shown that the U.S. firefighter population has a larger build than the general U.S. population (Hsiao et al., 2002); applying data from the CAESAR survey to the firefighter population for apparatus design would be inappropriate. Another recent national anthropometry survey of 20,015 children and adults offered a good prospective on diversity of anthropometry among current populations (Fryar, Gu, & Ogden, 2012). Due to the nature of the study on health and nutrition, only very limited dimensions were measured. The information on body height, body weight, waist circumference, upper arm length, and upper leg length can be used for certain product design applications. However, the report did not provide information on the number of firefighters in the survey nor offer specific anthropometry information on firefighters.
This research represents the first large-scale anthropometry survey of American firefighters to facilitate design of the next-generation fire apparatus and firefighter personal protective equipment (PPE), and the paper reports the data method and implications of the research, which is organized in two studies. Study 1 presents body measurements both in gear and without gear, the first available in the literature for various fire apparatus and firefighter PPE design applications. The study also provides detailed information on differences in body builds between firefighter and civilian groups and delivers a key message that caution must be made by designers and human factors engineers in selecting anthropometry databases that are adequate for their occupational applications. Study 2 reports a data method to evaluate the variations among weighted, unweighted, and normality transformed data to determine whether the original raw data from Study 1 reflect the demographic distribution of current firefighters and address nonnormality concerns and weighting needs in practical apparatus design applications. This is an important subject in anthropometry data usage that has not been well addressed in the literature. Different fire apparatus design applications require different anthropometric approaches for dimension specification; among them are univariate, bivariate, multivariate, and shape quantification approaches (Hsiao, 2013). Fire truck seat height can be defined mainly by popliteal height measurement. Seat belt design requires information on both trochanter-to-trochanter (bitrochanter) curve length and acromion-to-trochanter curve length. Turnout gear jacket design necessitates information on multiple dimensions, including chest breadth, chest depth, chest circumference, waist circumference, hip circumference, vertical trunk circumference, arm span, acromion–wrist length, and neck circumference. Similarly, data on multiple body dimensions are needed for fire truck cab design in that easy-to-reach controls, sufficient overhead clearance, and adequate visibility of both internal and external environments all are functions of the fire truck operator's body size and position in the cab. In addition, design and sizing of self-contained breathing apparatus straps require information on the size and shape of the torso. In short, multidimensional data in raw form are increasingly required in product design specifications. It is essential to either verify that the raw data collected in Study 1 are appropriate for unweighted use in design practices or inform the potential data users of the limitations of the data set in terms of normality constraint and weighting requirements in the product design process.
Study 1: U.S. Firefighter Anthropometry Survey
Objectives
The objectives of this study were to (a) establish a national anthropometric database of U.S. firefighters that reflects the variations in body sizes among firefighters, (b) provide information on differences in firefighter body dimensions between in-gear and without-gear scenarios for fire apparatus and firefighter PPE design, and (c) verify the hypothesis that the size and physique of the U.S. firefighter population are different from those of the general U.S. population.
Method
Critical anthropometric measurements
A total of 71 measurements relevant to the design of seats, seat belts, cabs, turnout gear, ingress, gloves, and face masks are presented in this report. Definitions of these measurements are listed in Appendix A and are organized into three categories. Of the 71 measurements, 40 were collected from the participants in fitted shorts in both standing and seated postures (Figure 1a). Another 21 measurements were collected while the participants were wearing their personal turnout gear, including personal selection of tools stored in their pockets, in both standing and seated postures (Figure 1c). The remaining 10 measurements were hand- and head/face-related dimensions extracted from hand and head/face scans (Figure 1b).
Participants
This study used a stratified sampling plan (3 age × 3 race/ethnicity × 2 gender combinations) to collect anthropometric data across the United States. The sampling plan was based on 1,136,650 firefighters from the U.S. Fire Department Profile Through 2005 (Karter, 2006), which was the best available and most updated information at the study planning stage in 2007. Of the population, the under-30 age group (ages 16–29) accounted for 287,450 (or 25.3% of all firefighters). The 30 to 39 age group accounted for 330,400 (29.1%), the 40 to 49 age group accounted for 296,450 (26.1%), and the above-50 age group accounted for 222,350 (19.5%). The data were recategorized into three groups (excluding those younger than 18) with an equal population distribution: 365,845 firefighters (32.8%) for ages 18 to 32, 379,505 (34.0%) for ages 33 to 44, and 370,575 (33.2%) for ages 45 to 65, for a total of 1,115,925 firefighters.
On the gender and ethnicity matters, the U.S. DOL Household Data Survey of 2000–2004 indicated a distribution of 4.2% female firefighters and 95.8% male firefighters, which consists of 9.3% Black (male), 7.3% Hispanic (male), and 79.2% White (male; U.S. DOL, 2006). Since female firefighters are relatively few in number, it is impractical to further divide them into different racial/ethnic groups. Therefore, a total of 12 cells (3 age × 3 race/ethnicity combinations for males plus 3 age groups for females) were arranged for the study to represent and compare anthropometric differences among U.S. firefighters.
The needed within-cell sample size was calculated using the following equation,
where |X̄−υ| is within-cell accuracy, x̄ is the sample mean of the subgroup, υ is the true mean of the subgroup, n is the sample size, σ is the standard deviation of the subgroup, and δ is the eccentricity (1.96 for 5% two-sided probability; Chow & Liu, 1998). Based on the standard deviation of stature from the CAESAR U.S. database (79 mm for men and 73 mm for women) and the desired cell accuracy of 18 mm for this study, the estimated sample size is 74 for males and 64 for females. Namely, at a 95% confidence level the sample sizes of 74 and 64 would have sufficient power for the sample mean to be within 18 mm of the true mean of the subgroup. Therefore, 75 subjects per cell was proposed. The “all other race/ethnicities” group was merged with the Hispanic group because its percentage was too small to be an independent racial/ethnic group and its racial diversity matches that of the Hispanic group. In short, a national sample size of 900 subjects would provide sufficient information for between-gender, between-race/ethnicity, and between-age assessments.
In practical applications of anthropometry for product design, the proportions of gender, race/ethnicity, and age populations need to be considered, and the sample size is adjusted accordingly. Based on the distribution of 4.2% women, 9.3% Black (male), 7.3% Hispanic (male), and 79.2% White (male) firefighters reported in the U.S. DOL Household Survey of 2000–2004 (U.S. DOL, 2006), a random national sampling of 900 firefighters would yield 713 White males, 84 Black males, 66 Hispanic males, and 38 female firefighters. On the other hand, to maintain the power to evaluate the anthropometric difference among the different ethnicity and gender groups of firefighters, a minimum of 75 subjects should be kept in each group. In addition, an oversampling of female firefighters would be necessary to address some fire apparatus design issues (such as fire engine operation and seat adjustment) that are unique to females. Therefore, a 70%, 10%, 10%, and 10% sample plan was proposed, which corresponded to 630 White males, 90 Black males, 90 Hispanic males, and 90 females. In this adjusted study design, the lowest cell accuracy for stature (non-Hispanic Black × age and Hispanic × age) is 28 mm, whereas the highest cell accuracy (White × age) is 11 mm. The cell accuracy is 26 mm for Female × age subgroups. The lowest ethnicity group accuracy is 15 mm.
To collect data nationwide, the continental United States was divided into four regions, as shown in Table 1. The number of participants in each region was assigned based on the size of the population in that region in the 2000 U.S. census (U.S. Census Bureau, 2001), with an assumption that the number of firefighters is proportional to the size of the population they serve. Table 2 shows the interim distribution plan of 900 subjects by gender, ethnicity, age, and region. This distribution was based on the assumption that all racial/ethnic populations were distributed equally across the four regions, which certainly was not representative and could result in recruiting bias or difficulty of certain racial/ethnic groups in certain regions. A further adjustment was made to reflect region-by-ethnicity distributions of firefighters (Table 3) and thus to define the number of subjects to be recruited from each region for the study.
Table 1. Sample Distribution to Match Populations in Data Collection Regions.
Region | Site | States Represented | U.S. Total (%) | Sample Size |
---|---|---|---|---|
I. Pacific West | Phoenix, AZ | WA, OR, ID, MT, WY, CA, NV, AZ, CO, UT, NM | 21.95 | 198 |
II. North Central | Chicago, IL | MN, IA, MO, ND, SD, NE, KS, WI, IL, MI, IN, OH, KY | 24.48 | 220 |
III. Northeast | Rockville, MD | ME, NH, VT, MA, RI, CT, NY, NJ, PA, DE, MD, WV, VA, DC | 24.72 | 222 |
IV. South | Fort Worth, TX | TN, NC, SC, GA, FL, AL, MS, TX, OK, AR, LA | 28.85 | 260 |
Total | 100.00 | 900 |
Table 2. Sampling Plan With Equal Racial/Ethnic Distribution Across the Four Regions.
Age | Total | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| |||||||||||||
Male | Female | ||||||||||||
| |||||||||||||
White | Black | Hispanic/Other | |||||||||||
|
|
|
|
||||||||||
Data Collection Site | 18–32 | 33–44 | 45–65 | 18–32 | 33–44 | 45–65 | 18–32 | 33–44 | 45–65 | 18–32 | 33–44 | 45–65 | |
Phoenix, AZ | 45 | 45 | 45 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 198 |
Chicago, IL | 52 | 52 | 52 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 219 |
Rockville, MD | 53 | 53 | 53 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 222 |
Fort Worth, TX | 60 | 60 | 60 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 261 |
Total | 630 | 90 | 90 | 90 | 900 |
Table 3. Final Sampling Plan, Accounting for Geographic Density of Racial/Ethnic Distributions.
Age | Total | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| |||||||||||||
Male | Female | ||||||||||||
| |||||||||||||
White | Black | Hispanic/Other | |||||||||||
|
|
|
|
||||||||||
Data Collection Site | 18–32 | 33–44 | 45–65 | 18–32 | 33–44 | 45–65 | 18–32 | 33–44 | 45–65 | 18–32 | 33–44 | 45–65 | |
Phoenix, AZ | 45 | 45 | 45 | 3 | 3 | 3 | 13 | 13 | 13 | 7 | 7 | 7 | 204 |
Chicago, IL | 52 | 52 | 52 | 6 | 6 | 6 | 3 | 3 | 3 | 7 | 7 | 7 | 204 |
Rockville, MD | 53 | 53 | 53 | 8 | 8 | 8 | 5 | 5 | 5 | 7 | 7 | 7 | 219 |
Fort Worth, TX | 60 | 60 | 60 | 13 | 13 | 13 | 9 | 9 | 9 | 9 | 9 | 9 | 273 |
Total | 630 | 90 | 90 | 90 | 900 |
This final adjustment (Table 3) took into account the geographic density of racial/ethnic distributions calculated from the 2000 U.S. census. The highest percentage of Black Americans lived in the South (44%), with 27.5% in the Northeast, 19.6% in the North Central/Great Lakes, and 8.8% in the Pacific West. For Hispanics, 43% lived in the Pacific West, with 31% in the South, 16.8% in the Northeast, and 9.1% in the North Central/Great Lakes regions. As a result of the geographic distributions of both racial/ethnic groups, the number of subjects in each cell was adjusted accordingly. White males and females were not further adjusted from the data in Table 2.
Facilities and participant recruitment
The measurement stations consisted of a briefing table, a changing area, and a space with sufficient lighting for traditional anthropometric measurements and three-dimensional surface scanning. Participants were approached through firefighter associations and leaders of regional fire stations at four data collection sites as identified in Table 3. At the middle stage of the 30-month study period, the Chicago site became unavailable. After a careful analysis on racial/ethnicity, age, and gender distributions of metropolitan firefighter populations in the Northeast and North Central regions, Philadelphia, Pennsylvania, was selected to replace Chicago. This was not an ideal situation but was scientifically reasonable and practical; a site in the North Central region with a similar firefighter population size and distribution to those in Chicago would have been ideal but was unavailable. Data collection was completed in Rockville, Maryland, Phoenix, Arizona, Philadelphia, Pennsylvania, and Fort Worth, Texas. The study was conducted at the rate of about eight persons a day.
Measurement devices
The firefighters were measured with and without their gear using traditional anthropometry methods as well as point digitizing and surface scanning anthropometry methods. The participants were measured in standing and seated postures to obtain dimensions pertaining to cabin design, seat configuration, seat belt design, and PPE fitting. Measurements were recorded using a FARO digitizing arm for vertical dimensions. Measurements of body depths were obtained using anthropometers, breadths using sliding calipers, and circumferences using tape measures. Other instruments included a weight scale, a stool for seated measurement, and a Smedley hand grip dynamometer for hand grip strength measurements.
Procedures
On arrival at the field laboratory at a fire station, firefighters were greeted and given a brief overview including the purpose of the study. Before data collection, participants signed a consent form and filled out a questionnaire pertaining to demographic information and experience with fire apparatus. The participants changed from street clothes into form-fitting shorts for the male firefighters or form-fitting shorts and a sports bra for the female firefighters (Figure 1a).
The firefighters first stood on a level footboard with their feet in the designated footprints. They were asked to stand in an upright, erect posture. This was done to ensure that all the firefighters were standing consistently in the same position while the standing measurements were taken. Anatomical landmarks were identified and marked on the subject prior to measurement (Figure 1a). Twenty dimensions were then measured. A measuring tape was used to take circumference measurements. Vertical heights were registered using a FARO digitizing arm, and other dimensions were recorded using calipers; the two methods were lab tested to be within a 0.4 mm difference, and the FARO digitizing was time efficient for vertical-height measurements, as were calipers for width and depth measurements. A weight scale was then used to measure body weight.
The next series of measurements were taken using the same tools while the firefighters were seated in shorts on a bench with a vertical back rest. The firefighters were positioned so that they were sitting erect; an adjustable block was placed under the firefighters' feet so that their knees were at a 90° angle. In all, 18 seated dimensions and a seated grip strength measurement were then obtained. Overall, 40 without-gear anthropometric measurements were recorded (Table 6). A three-dimensional head and face scan (Figure 1b) and a two-dimensional hand scan were then recorded, from which four hand dimensions and six head and face measurements were extracted.
Table 6. Summary Statistics for Measured Dimensions (weighted; unit: mm unless otherwise specified).
Men | Women | |||||
---|---|---|---|---|---|---|
|
|
|||||
Dimension | Sum of Weights | M | SD | Sum of Weights | M | SD |
Dimension without gear (standing) | ||||||
(01) Acromion height | 863 | 1458 | 62 | 86 | 1374 | 53 |
(02) Ankle height | 863 | 72 | 7 | 87 | 67 | 6 |
(03) Axilla height | 863 | 1322 | 61 | 86 | 1257 | 54 |
(04) Calf circumference | 863 | 398 | 29 | 88 | 376 | 30 |
(05) Cervical height | 863 | 1519 | 62 | 86 | 1429 | 55 |
(06) Chest breadth | 863 | 358 | 28 | 88 | 313 | 28 |
(07) Chest circumference | 863 | 1104 | 91 | 88 | 973 | 94 |
(08) Chest depth | 861 | 281 | 27 | 88 | 263 | 31 |
(09) Crotch height | 863 | 785 | 44 | 86 | 742 | 41 |
(10) Foot breadth | 863 | 104 | 6 | 88 | 95 | 5 |
(11) Foot length | 863 | 270 | 13 | 88 | 247 | 13 |
(12) Functional arm span | 859 | 1817 | 80 | 88 | 1688 | 74 |
(13) Hip circumference | 863 | 1077 | 75 | 88 | 1058 | 88 |
(14) Knee height | 863 | 477 | 29 | 86 | 448 | 26 |
(15) Stature | 863 | 1769 | 67 | 87 | 1667 | 60 |
(16) Thigh circumference | 863 | 619 | 47 | 88 | 615 | 59 |
(17) Under bust circumference | 863 | 1031 | 91 | 88 | 835 | 80 |
(18) Vertical trunk circum. | 863 | 1775 | 91 | 88 | 1607 | 84 |
(19) Waist circumference | 863 | 971 | 105 | 88 | 869 | 99 |
(20) Waist height | 861 | 1032 | 52 | 86 | 994 | 53 |
(21) Weight (kg) | 863 | 93.0 | 14.8 | 88 | 72.2 | 12.8 |
Dimension without gear (seated) | ||||||
(22) Acromion breadth | 863 | 397 | 19 | 88 | 355 | 20 |
(23) Acromion–grip length | 861 | 633 | 31 | 88 | 597 | 30 |
(24) Acromion height | 863 | 614 | 30 | 88 | 583 | 27 |
(25) Acromion–wrist length | 861 | 567 | 29 | 88 | 532 | 27 |
(26) Bideltoid breadth | 862 | 574 | 52 | 88 | 489 | 47 |
(27) Bitragion arc length | 860 | 364 | 13 | 87 | 347 | 12 |
(28) Buttock–knee length | 860 | 630 | 32 | 88 | 604 | 27 |
(29) Elbow height | 863 | 242 | 27 | 88 | 237 | 28 |
(30) Elbow–wrist length | 862 | 299 | 15 | 88 | 275 | 14 |
(31) Functional leg length | 863 | 1069 | 51 | 88 | 1011 | 43 |
(32) Grip strength (kg) | 863 | 43.9 | 8.9 | 88 | 29.7 | 6.3 |
(33) Head arc length | 863 | 356 | 18 | 88 | 342 | 20 |
(34) Head circumference | 861 | 578 | 14 | 87 | 558 | 14 |
(35) Hip breadth | 862 | 437 | 34 | 87 | 425 | 39 |
(36) Neck circumference | 863 | 413 | 28 | 88 | 340 | 25 |
(37) Knee height | 863 | 544 | 28 | 88 | 510 | 24 |
(38) Nuchal height | 863 | 787 | 36 | 88 | 746 | 33 |
(39) Popliteal height | 863 | 439 | 25 | 88 | 407 | 23 |
(40) Sitting height | 863 | 924 | 35 | 88 | 874 | 31 |
Dimension in gear (standing) | ||||||
(01) Boot breadth | 863 | 120 | 5 | 88 | 113 | 5 |
(02) Boot length | 863 | 316 | 17 | 88 | 288 | 15 |
(03) Chest depth | 863 | 363 | 35 | 88 | 345 | 35 |
(04) Chest width | 863 | 398 | 32 | 88 | 355 | 30 |
(05) Overhead grip reach | 858 | 2265 | 103 | 88 | 2117 | 99 |
(06) Waist depth | 863 | 381 | 40 | 88 | 349 | 40 |
(07) Waist width | 862 | 458 | 36 | 88 | 421 | 45 |
(08) Weight in gear (kg) | 863 | 104.8 | 15.0 | 88 | 82.6 | 13.2 |
Dimension in gear (seated) | ||||||
(09) Abdominal breadth | 863 | 463 | 42 | 88 | 428 | 44 |
(10) Abdominal depth | 862 | 364 | 40 | 88 | 328 | 35 |
(11) Acromion–troch length | 863 | 900 | 62 | 88 | 860 | 66 |
(12) Bideltoid breadth | 863 | 709 | 54 | 88 | 644 | 44 |
(13) Bitrochanter length | 863 | 880 | 100 | 88 | 845 | 95 |
(14) Buttock–shoe tip length | 863 | 727 | 72 | 88 | 700 | 69 |
(15) Elbow–wrist length | 863 | 302 | 17 | 88 | 279 | 17 |
(16) Eye height | 863 | 812 | 34 | 88 | 767 | 32 |
(17) Grip strength (kg) | 852 | 34.1 | 7.5 | 86 | 20.8 | 5.8 |
(18) Hip breadth | 863 | 597 | 50 | 88 | 577 | 46 |
(19) Shoulder–elbow length | 863 | 381 | 21 | 88 | 361 | 23 |
(20) Shoulder–grip length | 861 | 612 | 33 | 88 | 585 | 41 |
(21) Thigh clearance | 861 | 198 | 20 | 88 | 190 | 17 |
Dimension extracted (face and hand) | ||||||
(01) Bigonion breadth | 863 | 127 | 11 | 87 | 108 | 8 |
(02) Biinfraorbitale breadth | 861 | 107 | 9 | 88 | 100 | 9 |
(03) Face breadth | 863 | 150 | 6 | 88 | 138 | 5 |
(04) Face length | 863 | 124 | 7 | 88 | 115 | 6 |
(05) Hand breadth | 858 | 97 | 5 | 88 | 87 | 4 |
(06) Hand length | 857 | 198 | 9 | 88 | 183 | 8 |
(07) Head breadth | 862 | 161 | 7 | 88 | 159 | 6 |
(08) Midtragion to head top length | 860 | 145 | 8 | 88 | 141 | 8 |
(09) Palm breadth | 858 | 96 | 5 | 88 | 85 | 4 |
(10) Palm length | 858 | 114 | 6 | 88 | 104 | 5 |
The firefighters were then asked to go to the changing area and to change back into the clothes that they would normally wear under their bunker gear. They were then asked to don their bunker gear. The firefighters were asked to keep all the equipment they usually carry in their pockets (e.g., hand tools, gloves, rope) and to keep any equipment attached to their bunker gear in the position that it is usually donned. The firefighters stood back on the footboard with the designated footprints to begin the measurements in gear. Seven dimensions were measured, followed by a body weight measurement. The firefighters were then positioned back on the bench for a series of 12 seated measurements in gear (Figure 1c) and a seated grip strength test with gloves. Overall, 21 in-gear measurements were collected (Table 6).
Data Analysis
Weighted sampling
Before data were analyzed, a weighting procedure was applied to the samples to ensure that the current sample represents the current firefighter population in age and race/ethnicity composition for men and age distribution for women. The weights were calculated as the relative frequency of a given cell in the firefighter population, divided by the relative frequency of the same cell in the survey sample (International Organization for Standardization, 2008). It can be expressed as,
where N is the count from the age/race cell in the firefighter population, n is the count from the age/race cell in the survey sample, i is the subscript for the age group, and j is the subscript for the racial group. Samples were weighted across three age groups (18–32, 33–44, and 45–65) for both men and women and three race/ethnicity groups (non-Hispanic White, non-Hispanic Black, and Hispanics and Others) for men.
Descriptive analyses
Summary statistical analyses on the 71 body measurements were performed for the arithmetic mean, standard error of the mean, standard deviation, 5th percentile, and 95th percentile for each measurement. To confirm that measurements with and without gear were different, nine dimensions available in both without-gear and in-gear conditions were compared; a two-tailed t test with a p value of .05 as the significance level was performed for each of the nine dimensions.
Current firefighters compared with the general U.S. population
Measurements from the current study were compared with relevant measurements from the general U.S. population according to the CAESAR survey (Harrison & Robinette, 2002). In all, 24 body dimensions for men and 25 dimensions for women were compatible in definitions and measurement approaches between this study and the CAESAR study. A two-tailed t test with a p value of .05 as the significance level was performed for each dimension.
Results
Sampled population and statistical weights
A total of 951 firefighters took part in the study, which exceeded the targeted sample size by 51 participants. A representation of the targeted versus final sampled population by age and race/ethnicity distribution is shown in Table 4, and the sampling weights are presented in Table 5. The sampling weight calculation method is defined in the Weighted Sampling subsection within the Data Analysis section. As an example, the weight for Black and age 18 to 32 group would be (34,024 / 1,069,056) / (26 / 863) = 1.05637, where the estimated count of Black male firefighters in the age 18 to 32 category is 34,024 and the estimated count of U.S. adult male firefighters is 1,069,056 (Karter, 2006; U.S. DOL, 2006). The actual count of male firefighters measured was 863; of them, 26 were Black male firefighters from age 18 to 32.
Table 4. Actual Firefighters Measured Versus Original Study Sampling Plan.
Age | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
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Male | |||||||||||||
|
|||||||||||||
White | Black | Hispanic/Others | Female | Total | |||||||||
|
|
|
|
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Data Collection Site | 18–32 | 33–44 | 45–65 | 18–32 | 33–44 | 45–65 | 18–32 | 33–44 | 45–65 | 18–32 | 33–44 | 45–65 | |
Phoenix, AZ | 46 | 47 | 43 | 3 | 3 | 3 | 13 | 17 | 13 | 7 | 7 | 8 | 210 |
Philadelphia, PA | 49 | 55 | 52 | 6 | 5 | 11 | 4 | 5 | 2 | 7 | 8 | 5 | 209 |
Rockville, MD | 63 | 62 | 63 | 10 | 8 | 9 | 8 | 9 | 6 | 8 | 13 | 5 | 264 |
Fort Worth, TX | 55 | 72 | 59 | 7 | 14 | 14 | 9 | 9 | 9 | 5 | 10 | 5 | 268 |
Total measured | 213 | 236 | 217 | 26 | 30 | 37 | 34 | 40 | 30 | 27 | 38 | 23 | 951 |
Target population | 210 | 210 | 210 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 900 |
Additional subject | 3 | 26 | 7 | −4 | 0 | 7 | 4 | 10 | 0 | −3 | 8 | −7 | 51 |
Table 5. Statistical Weights for Ethnicity and Age Groups by Gender.
Gender | Race/Ethnicity | Age | ||
---|---|---|---|---|
| ||||
18–32 | 33–44 | 45–65 | ||
Male | White | 1.09813 | 1.02811 | 1.09182 |
Black | 1.05637 | 0.94971 | 0.75191 | |
Hispanic/other | 0.63409 | 0.55910 | 0.72793 | |
Female | White, Black, and Hispanic/other | 1.06852 | 0.78756 | 1.27056 |
Summary statistics
Summary statistics (sum of weights, mean, and standard deviation) of the 71 body measurements are presented in Table 6. Additional information, including the 5th and 95th percentiles, standard error of the mean, and 95% confidence interval of the mean for each measurement, is listed in Appendix B. The tabulated data were calculated based on the weighted samples exhibited in Tables 4 and 5. There were a few missing data points for a few variables; pair-wise deletion of missing data, which means all valid data points were included in the analyses for the respective variables, was employed.
Measured without gear versus measured in gear
Nine dimensions measured in both the in-gear and without-gear scenarios were compared (Table 7), based on the weighted samples exhibited in Tables 4 and 5. There were a few missing data points scattered among a few variables; casewise deletion of missing data, excluding all cases that had missing data for at least one of the selected variables, was used in the analysis. This ensured that comparisons were from the same set of observations.
Table 7. Comparisons for the Means of Body Dimensions Between Without-Gear and In-Gear Conditions for the U.S. Firefighter Population (weighted; casewise deletion of missing data was used in the analysis).
Measured Without Gear | Measured in Gear | |||||||||
---|---|---|---|---|---|---|---|---|---|---|
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|
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Dimension | Sum of W | M | SE of M | SD | Sum of W | M | SE of M | SD | Difference in Mean | t |
4a. Men | ||||||||||
Bideltoid width, sitting | 847 | 574 | 1.8 | 52 | 847 | 710 | 1.9 | 54 | 136 mm* | 83.6 |
Body weight (kg) | 847 | 92.9 | 0.5 | 14.7 | 847 | 104.8 | 0.5 | 14.9 | 11.8 kg* | 192.2 |
Chest depth, standing | 847 | 281 | 0.9 | 27 | 847 | 363 | 1.2 | 35 | 82 mm* | 79.9 |
Chest width, standing | 847 | 358 | 1.0 | 28 | 847 | 398 | 1.1 | 33 | 40 mm* | 41.6 |
Elbow–wrist length, sitting | 847 | 299 | 0.5 | 15 | 847 | 302 | 0.6 | 17 | 3 mm* | 7.5 |
Foot breadth, standing | 847 | 104 | 0.2 | 6 | 847 | 120 | 0.2 | 5 | 16 mm* | 75.5 |
Foot length, standing | 847 | 270 | 0.4 | 13 | 847 | 316 | 0.6 | 17 | 46 mm* | 106.6 |
Grip strength, sitting (kg) | 847 | 43.90 | 0.3 | 8.8 | 847 | 34.1 | 0.3 | 7.4 | −9.8 kg* | −40.0 |
Hip breadth, sitting | 847 | 437 | 1.2 | 34 | 847 | 597 | 1.7 | 50 | 160 mm* | 95.4 |
4b. Women | ||||||||||
Bideltoid width, sitting | 85 | 489 | 5.2 | 48 | 85 | 644 | 4.8 | 45 | 155 mm* | 33.5 |
Body weight (kg) | 85 | 72.1 | 1.4 | 13.1 | 85 | 82.6 | 1.5 | 13.5 | 10.5 kg* | 74.8 |
Chest depth, standing | 85 | 262 | 3.4 | 32 | 85 | 344 | 3.8 | 35 | 82 mm* | 25.8 |
Chest width, standing | 85 | 313 | 3.1 | 29 | 85 | 356 | 3.2 | 30 | 43 mm* | 16.1 |
Elbow–wrist length, sitting | 85 | 275 | 1.5 | 14 | 85 | 280 | 1.8 | 17 | 5 mm* | 3.7 |
Foot breadth, standing | 85 | 95 | 0.6 | 5 | 85 | 113 | 0.5 | 5 | 18 mm* | 30.6 |
Foot length, standing | 85 | 247 | 1.4 | 13 | 85 | 289 | 1.6 | 15 | 42 mm* | 36.2 |
Grip strength, sitting (kg) | 85 | 29.8 | 0.7 | 6.3 | 85 | 21.2 | 0.6 | 5.8 | −8.6 kg* | −15.2 |
Hip breadth, sitting | 85 | 425 | 4.2 | 39 | 85 | 576 | 5.0 | 46 | 151mm* | 30.6 |
Note.Unit: mm unless otherwise specified. Sum of W: sum of weights.
Denotes statistical significance where p < .05/9 = .0056 (two-tailed test), which is equivalent to t.05(9, 847) = ±2.83 for men and t.05(9, 85) = ±2.84 for women for nine paired tests.
The statistical significance level was set at p = .05/9 = .0056 (two-tailed test) for nine paired comparisons, which was equivalent to t.05 (9, 847) = ±2.83 for men and t.05 (9, 85) = ±2.84 for women. The differences in means were significant for all dimensions (p < .0056). The differences in hip breadth between the without-gear and in-gear conditions were 160 mm for men and 150 mm for women. Similarly, the differences in bideltoid width between the without-gear and in-gear conditions were 135 mm for men and 155 mm for women. The results have a significant implication in seat/space arrangement. The differences in means for elbow–wrist length were 3 mm for men and 5 mm for women, reflecting the thickness of sleeves.
The differences in chest width (40 mm for men and 43 mm for women), chest depth (82 mm for both men and women), foot length (46 mm for men and 42 mm for women), and foot breadth (16 mm for men and 18 mm for women) between the in-gear and without-gear conditions (Table 7) have implications for protective clothing sizing, footwear design, and cab space configuration. The results also show that firefighters on average wear equipment and clothing of 11.8 kg for men and 10.5 kg for women. In addition, their average grip strength was reduced by 9.8 kg for men and 8.6 kg for women comparing the with-glove to no-glove conditions.
Current firefighters versus general U.S. population
Table 8 shows the comparisons for the means of 24 body dimensions for men and 25 dimensions for women between current firefighters and the general U.S. population. For men, differences in the means of 16 out of 24 dimensions are statistically significant; of the 16, the differences in 2 dimensions are small enough to be of no practical importance in design practice, whereas the other 14 have significance for product sizing development. Although male firefighters on average have the same height as men in the general U.S. population, they are 9.8 kg heavier than men in the general U.S. population and are larger in body build with shorter lower extremities. Their chest circumference is 80 mm larger, waist circumference 76 mm larger, and bideltoid breadth 84 mm larger than those of men in the general U.S. population. Their crotch height is 12 mm shorter, standing knee height 16 mm shorter, and seated knee height 14 mm shorter.
Table 8. Comparisons for the Means of Body Dimensions Between the Current Firefighters and the General U.S. Population (weighted).
U.S. Firefghters | General U.S. Population | |||||||||
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Dimension | Sum of W | M | SE of M | SD | Sum of W | M | SE of M | SD | Difference in Mean | |
5a. Men, 24 out of 40 dimensions without gear | ||||||||||
(01) Acromion height, standing | 863 | 1458 | 2.1 | 62 | 1114 | 1445 | 2.3 | 76 | 13* | |
(02) Ankle height, standing | 863 | 72 | 0.2 | 7 | 1114 | 71 | 0.2 | 7 | 1*+ | |
(03) Axilla height, standing | 863 | 1322 | 2.1 | 61 | 1114 | 1322 | 2.1 | 70 | 0 | |
(05) Cervical height, standing | 863 | 1519 | 2.1 | 62 | 1114 | 1523 | 2.3 | 75 | −4 | |
(07) Chest circumference, standing | 863 | 1104 | 3.1 | 91 | 1119 | 1024 | 3.4 | 113 | 80* | |
(09) Crotch height, standing | 863 | 785 | 1.5 | 44 | 1119 | 797 | 1.6 | 55 | −12* | |
(10) Foot breadth, standing | 863 | 104 | 0.2 | 6 | 1114 | 104 | 0.2 | 8 | 0 | |
(11) Foot length, standing | 863 | 270 | 0.4 | 13 | 1119 | 267 | 0.5 | 15 | 3*+ | |
(13) Hip circumference, standing | 863 | 1077 | 2.6 | 75 | 1119 | 1032 | 2.9 | 98 | 45* | |
(14) Knee height, standing | 863 | 477 | 1.0 | 29 | 1114 | 493 | 0.9 | 31 | −16* | |
(15) Stature | 863 | 1769 | 2.3 | 67 | 1119 | 1767 | 2.4 | 81 | 2 | |
(16) Thigh circumference, standing | 863 | 619 | 1.6 | 47 | 1119 | 600 | 1.9 | 63 | 19* | |
(18) Vertical trunk circumference | 863 | 1775 | 3.1 | 91 | 1118 | 1705 | 3.2 | 108 | 70* | |
(19) Waist circumference, standing | 863 | 971 | 3.6 | 105 | 1118 | 895 | 3.8 | 126 | 76* | |
(20) Waist height, standing | 861 | 1032 | 1.8 | 52 | 1119 | 1037 | 1.9 | 63 | −5 | |
(21) Weight (kg) | 863 | 93.0 | 0.5 | 14.8 | 1119 | 83.2 | 0.5 | 17.4 | 9.8* | |
(24) Acromion height, sitting | 863 | 614 | 1.0 | 30 | 1119 | 602 | 1.1 | 38 | 12* | |
(26) Bideltoid breadth, sitting | 862 | 574 | 1.8 | 52 | 1119 | 490 | 1.1 | 38 | 84* | |
(28) Buttock–knee length, sitting | 860 | 630 | 1.1 | 32 | 1119 | 614 | 1.1 | 36 | 16* | |
(29) Elbow height, sitting | 863 | 242 | 0.9 | 27 | 1119 | 239 | 1.1 | 35 | 3 | |
(34) Head circumference, sitting | 861 | 578 | 0.5 | 14 | 1119 | 577 | 0.5 | 18 | 1 | |
(35) Hip breadth, sitting | 862 | 437 | 1.2 | 34 | 1117 | 376 | 1.1 | 38 | 61* | |
(36) Knee height, sitting | 863 | 544 | 0.9 | 28 | 1119 | 558 | 1.0 | 32 | −14* | |
(40) Sitting height | 863 | 924 | 1.2 | 35 | 1119 | 921 | 1.3 | 43 | 3 | |
5b. Women, 25 out of 40 dimensions without gear | ||||||||||
(01) Acromion height, standing | 86 | 1374 | 5.8 | 53 | 1257 | 1343 | 2.0 | 70 | 31* | |
(02) Ankle height, standing | 87 | 67 | 0.6 | 6 | 1258 | 66 | 0.2 | 7 | 1 | |
(03) Axilla height, standing | 86 | 1257 | 5.8 | 54 | 1258 | 1233 | 1.9 | 67 | 24* | |
(05) Cervical height, standing | 86 | 1429 | 6.0 | 55 | 1257 | 1407 | 2.0 | 71 | 22* | |
(07) Chest circumference, standing | 88 | 973 | 10.0 | 94 | 1261 | 964 | 4.0 | 141 | 9 | |
(09) Crotch height, standing | 86 | 742 | 4.4 | 41 | 1260 | 748 | 1.5 | 53 | −6 | |
(10) Foot breadth, standing | 88 | 95 | 0.5 | 5 | 1258 | 93 | 0.2 | 9 | 2*+ | |
(11) Foot length, standing | 88 | 247 | 1.3 | 13 | 1261 | 239 | 0.4 | 14 | 8* | |
(13) Hip circumference, standing | 88 | 1058 | 9.4 | 88 | 1258 | 1061 | 4.0 | 143 | −3 | |
(14) Knee height, standing | 86 | 448 | 2.8 | 26 | 1258 | 445 | 0.8 | 29 | 3 | |
(15) Stature | 87 | 1667 | 6.4 | 60 | 1261 | 1638 | 2.2 | 78 | 29* | |
(16) Thigh circumference, standing | 88 | 615 | 6.3 | 59 | 1261 | 611 | 2.4 | 87 | 4 | |
(17) Under bust circumference | 88 | 835 | 8.6 | 80 | 1261 | 802 | 3 | 108 | 33* | |
(18) Vertical trunk circumference | 88 | 1607 | 9.0 | 84 | 1261 | 1577 | 3.3 | 117 | 30* | |
(19) Waist circumference, standing | 88 | 869 | 10.6 | 99 | 1259 | 796 | 4.4 | 154 | 73* | |
(20) Waist height, standing | 86 | 994 | 5.7 | 53 | 1261 | 1007 | 1.8 | 63 | −13 | |
(21) Weight (kg) | 88 | 72.2 | 1.4 | 12.8 | 1261 | 69.6 | 0.6 | 19.9 | 2.6 | |
(24) Acromion height, sitting | 88 | 583 | 2.9 | 27 | 1261 | 568 | 0.9 | 32 | 15* | |
(26) Bideltoid breadth, sitting | 88 | 489 | 5.0 | 47 | 1261 | 431 | 1.1 | 39 | 58* | |
(28) Buttock–knee length, sitting | 88 | 604 | 2.9 | 27 | 1260 | 588 | 1.1 | 40 | 16* | |
(29) Elbow height, sitting | 88 | 237 | 3.0 | 28 | 1260 | 237 | 0.8 | 30 | 0 | |
(34) Head circumference, sitting | 87 | 558 | 1.6 | 14 | 1260 | 552 | 0.5 | 18 | 6* | |
(35) Hip breadth, sitting | 87 | 425 | 4.1 | 39 | 1259 | 410 | 1.5 | 53 | 15* | |
(36) Knee height, sitting | 88 | 510 | 2.5 | 24 | 1261 | 508 | 0.9 | 31 | 2 | |
(40) Sitting height | 88 | 874 | 3.3 | 31 | 1260 | 864 | 1.1 | 39 | 10 |
Note. Unit: mm unless otherwise specified. Sum of W: sum of weights.
Denotes statistical significance at p = .05/24 = .00208 for men and p = .05/25 = .002 for women for two-tailed independent t tests with Bonferroni correction, which were equivalent to t.05(24, >1000) = ±3.08 for men and t.05(25, >1000) = ±3.09 for women.
Denotes no practical importance.
For females, differences in the means of 14 out of 25 dimensions are statistically significant; of the 14, the difference in 1 dimension is small enough to be of no practical importance in design practice, whereas the other 13 have significance for protective gear sizing. Their mean weights are on average 2.6 kg different, but this is not statistically significant. However, female firefighters are significantly taller than women in the general U.S. population, by 29 mm on average. In addition, female firefighters have larger stature-related body dimensions (e.g., 31 mm for acromion height, 24 mm for axilla height, and 16 mm for buttock–knee length) than women in the general U.S. population. Moreover, their body builds are larger than those of women in the general U.S. population: waist circumference is 73 mm larger, bideltoid breadth is 58 mm larger, and under bust circumference is 33 mm larger.
In summary, these results show that the size and physique of the current firefighter population are not well represented by the general U.S. population. Male firefighters are heavier than men in the general U.S. population, and female firefighters are taller than women in the general U.S. population. Both male and female firefighters on average have larger upper-body builds than those of the general U.S. population.
Discussion
Anthropometric characteristics of the current U.S. firefighter population
Table 8 shows that male firefighters are heavier than males in the general U.S. population and female firefighters are taller than the females in the general U.S. population. Comparisons of the firefighter data to the recent vital and health statistics (body weight and height) of adults age 20 and older in the United States (Fryar et al., 2012) demonstrate similar trends. In addition, both male and female firefighters have larger upper-body builds than those of the general U.S. population. The results are consistent with Hsiao et al.'s (2002) findings that different occupational groups have distinctive anthropometric characteristics from the general U.S. population. This study provides additional detailed information to update the existing literature on the distinctive characteristics of firefighters.
The significant differences between in-gear and without-gear conditions for hip breadth and bideltoid width have implications for seat and cab space arrangement. Although seat pan and seat back widths of an automotive fire apparatus can be specified using the “without-gear” anthropometry information of hip breadth and bideltoid width, space needs to be provided between seats or between a seat and a door. This is where the in-gear measurements are critical as firefighters typically ride or operate an automotive apparatus while in gear. This study provides critical data to address the fire apparatus design and cab space arrangement issue, which is absent in the literature. The results also echo the required step of an anthropometric adjustment for clothing and gear in protective equipment design for public safety professionals (Hsiao, 2013).
The information on differences in chest width (40 mm for men and 43 mm for women), chest depth (82 mm for both men and women), foot length (46 mm for men and 42 mm for women), and foot breadth (16 mm for men and 18 mm for women) between in-gear and without-gear conditions (Table 7) provides the scientific basis and practical specifications for protective clothing sizing, footwear design, and cab space configuration, which helps to fill a knowledge gap on the subject in the current literature. It is also worth noting that the average equipment-and-clothing weights of 11.9 kg for men and 10.5 kg for women have physiological and biomechanical significance. They represent additional energy expenditure and heat generation, making them an additional heart burden; the literature has shown that heart attack and stress were the most frequent causes of firefighter deaths, accounting for 60.2% of incidents in 2011 (U.S. Fire Administration, 2012). Finally, the average grip strength was reduced by 9.8 kg for men and 8.9 kg for women comparing the with-glove to no-glove conditions. This also has physiological and biomechanical implications; increased effort and energy consumption are expected for producing the same amount of work or force when gloves are used versus no gloves. The development of lighter and better fitting protective clothing and gloves is in progress in the fire apparatus manufacturing industry, using the anthropometric data from this study.
Conclusion
A large-scale national anthropometry survey of U.S. firefighters was conducted, and data from 71 measurements were tabulated for advancing fire apparatus and protective-equipment designs. The data contain both in-gear and without-gear measurements that are the first available in the literature for various fire apparatus and firefighter PPE design applications. Male firefighters were on average 9.8 kg heavier and were larger in body build (80 mm larger for chest circumference, 76 mm larger for waist circumference, and 84 mm larger for bideltoid breadth) than men in the general U.S. population. Female firefighters were significantly taller by 29 mm on average and had larger physiques (73 mm larger for waist circumferences and 58 mm larger for bideltoid breadth) than women in the general U.S. population. Moreover, firefighters on average wear equipment and clothing that is 11.9 kg for men and 10.5 kg for women and average grip strength was reduced by 9.8 kg for men and 8.9 kg for women comparing the with-glove to no-glove conditions. This knowledge is critical for the fire apparatus design process for improved anthropometric accommodation and reduced physiological and biomechanical burden on firefighters.
Study 2: Implication of Data Weighting and Normality on Fire Apparatus Designs
Background
An anthropometric database is most useful for apparatus design when its composition accurately represents the demographic characteristics of the target population. Well-intended anthropometric surveys sometimes do not meet the original composition goal due to reduced or over-participation rates, and sampling weightings are commonly used to fill the gap. However, often designers have tabulated summary data but not necessarily the underlying information on weighting for making intelligent decisions. Also, multidimensional data in a raw data form are increasingly being used in product design specifications; normality transformation of raw data for some dimensions may be critical for adequate design practices. A systematic evaluation of the raw data (without weighting) from Study 1 for their representation of the demographic characteristics of the U.S. firefighter population would be valuable for both apparatus designers and human factors practitioners in specifying design requirements for various fire apparatus.
Objective
The objective of this study was to evaluate the differences of firefighter anthropometric data from Study 1 in original strata, weighted arrangements, and normality transformed modes to determine their implications and best usage in product design. The hypothesis is that the differences among original, weighted, and normality transformed data are small enough to be of no practical significance, which demonstrates that the methods used to collect the data in Study 1 have addressed nonnormality concerns and are compatible with weighted data and thus are acceptable and practical for direct usage (without weighting) for fire apparatus design applications.
Method
Data from 71 anthropometric dimensions from Study 1 (stratified sampling plan of 3 age × 3 race/ethnicity combinations for males and 3 age groupings for females) were used for this study. Data in original strata and weighted adjustment were compared for their differences in the mean and 5th and 95th percentiles to determine their deviation from each other. Of the 71 anthropometric dimensions for men in their unweighted original strata, 22 failed to meet the Kolmogorov–Smirnov one-sample normality criterion (p < .05). These data were transformed using the Box–Cox method to improve their normality distribution (Box & Cox, 1964). The formulas for Box–Cox transformation are summarized in Appendix C. The transformed means and 5th and 95th percentiles were back-transformed to the original scale (hereafter named normality transform modes) for comparisons with the corresponding values of the original unweighted and weighted data.
Similarly, the Shapiro–Wilks W tests rejected the hypothesis of data normality for 23 of the 71 anthropometric dimensions for women in their unweighted original data (p < .05). The Shapiro–Wilks W tests were used in that the sample size for women in this study was considered small. These data were transformed using the Box– Cox method to recover their normality distribution (Appendix C). The means and 5th and 95th percentiles were then back-transformed to the original scale for comparisons with the corresponding values of the unweighted and weighted data.
The differences among weighted and unweighted (original) data and normality transformed data for the means and 5th and 95th percentiles were compared to the allowable observer errors as reported in the anthropometry literature (Gordon et al., 1989; Guan et al., 2012). If the differences among the weighted data, original unweighted data, and normality transformed data (if any) for a dimension for its mean and 5th and 95th percentiles are smaller or equal to the allowable observer error for that dimension, the differences are considered to be of no practical significance and thus no practical design implications.
Results
Anthropometric data of male firefighters
As seen in Table 9, for male firefighters, the weighted and unweighted means and 5th and 95th percentiles for all 71 body dimensions were equal; that is, their differences are within acceptable measurement error ranges. The normality transformation results (22 dimensions) were also equal to those of unweighted data (as well as weighted data), except for body weight without gear and body weight in gear. The skewness and kurtosis of each of the 20 dimensions are all small.
Table 9. Differences of Firefighter (Men) Anthropometric Data in Original Strata, Weighted Adjustments, and Normality Transformed Modes.
Weighted (Sum of Weights = 852∼863) | Unweighted (N = 857∼863) | Box–Cox Normality Trans. (N = 857∼863) | ||||||||
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Dimension | M | 5th Percentile | 95th Percentile | M | 5th Percentile | 95th Percentile | M | 5th Percentile | 95th Percentile | Allowable Observer Error |
Men, dimension without gear (standing) | ||||||||||
(01) Acromion height | 1458 | 1356 | 1565 | 1457 | 1355 | 1563 | 7+, 5‡ | |||
(02) Ankle height | 72 | 61 | 83 | 72 | 61 | 83 | 3+, 3‡ | |||
(03) Axilla height | 1322 | 1226 | 1426 | 1321 | 1224 | 1425 | 10+ | |||
(04) Calf circumference | 398 | 353 | 449 | 398 | 352 | 449 | 5+, 6‡ | |||
(05) Cervical height | 1519 | 1417 | 1621 | 1518 | 1417 | 1621 | 7+ | |||
(06) Chest breadth | 358 | 315 | 409 | 358 | 315 | 409 | 356 | 315 | 408 | 8+, 15‡ |
(07) Chest circumference | 1104 | 968 | 1268 | 1105 | 966 | 1268 | 15+ | |||
(08) Chest depth | 281 | 238 | 327 | 281 | 238 | 327 | 4+, 8‡ | |||
(09) Crotch height | 785 | 713 | 858 | 785 | 713 | 858 | 10+ | |||
(10) Foot breadth | 104 | 95 | 113 | 104 | 96 | 113 | 2+ | |||
(11) Foot length | 270 | 248 | 292 | 270 | 248 | 291 | 3+ | |||
(12) Functional arm span | 1817 | 1690 | 1952 | 1818 | 1690 | 1952 | 10+ | |||
(13) Hip circumference | 1077 | 965 | 1208 | 1077 | 965 | 1208 | 12+ | |||
(14) Knee height | 477 | 430 | 525 | 477 | 430 | 525 | 6+ | |||
(15) Stature | 1769 | 1660 | 1881 | 1768 | 1660 | 1881 | 11+, 4‡ | |||
(16) Thigh circumference | 619 | 543 | 701 | 619 | 543 | 701 | 6+, 13‡ | |||
(17) Under bust circum. | 1031 | 894 | 1190 | 1031 | 894 | 1190 | 1024 | 893 | 1190 | 16+ |
(18) Vertical trunk circum. | 1775 | 1635 | 1935 | 1775 | 1635 | 1932 | 24+ | |||
(19) Waist circum. | 971 | 828 | 1165 | 970 | 826 | 1164 | 957 | 824 | 1161 | 11+, 18‡ |
(20) Waist height | 1032 | 946 | 1118 | 1031 | 944 | 1121 | 7+ | |||
(21) Weight (kg) * | 93.0 | 71.3 | 120.4 | 92.9 | 71.2 | 120.4 | 91.6 | 71.0 | 119.2 | 0.7‡ |
Men, dimension without gear (seated) | ||||||||||
(22) Acromion breadth | 397 | 366 | 429 | 397 | 366 | 430 | 8+, 6‡ | |||
(23) Acromion– grip length | 633 | 583 | 685 | 633 | 583 | 685 | ||||
(24) Acromion height | 614 | 563 | 664 | 614 | 563 | 662 | 9+, 5‡ | |||
(25) Acromion– wrist length | 567 | 521 | 616 | 567 | 521 | 616 | 6+ | |||
(26) Bideltoid breadth | 574 | 497 | 663 | 574 | 497 | 663 | 570 | 495 | 665 | 8+ |
(27) Bitragion arc length | 364 | 343 | 384 | 364 | 343 | 385 | 7+ | |||
(28) Buttock– knee length | 630 | 578 | 685 | 630 | 577 | 685 | 6+, 10‡ | |||
(29) Elbow height | 242 | 197 | 290 | 242 | 196 | 289 | 10+, 12‡ | |||
(30) Elbow–wrist length | 299 | 275 | 325 | 299 | 275 | 325 | ||||
(31) Functional leg length | 1069 | 987 | 1152 | 1069 | 986 | 1154 | 17+ | |||
(32) Grip strength (kg) | 43.9 | 30.0 | 58.5 | 44 | 30 | 58 | 44 | 30 | 59 | |
(33) Head arc length | 356 | 328 | 386 | 356 | 327 | 386 | ||||
(34) Head circumference | 578 | 553 | 601 | 577 | 553 | 601 | 5+ | |||
(35) Hip breadth | 437 | 384 | 498 | 437 | 383 | 498 | 6+, 8‡ | |||
(36) Knee height | 544 | 500 | 589 | 544 | 500 | 589 | 2+, 8‡ | |||
(37) Neck circumference | 413 | 372 | 465 | 413 | 371 | 465 | 411 | 370 | 461 | 6+ |
(38) Nuchal height | 787 | 729 | 847 | 786 | 728 | 847 | ||||
(39) Popliteal height | 439 | 399 | 481 | 439 | 399 | 481 | 7+, 8‡ | |||
(40) Sitting height | 924 | 866 | 987 | 923 | 866 | 986 | 6+, 5‡ | |||
Men, dimension in gear (standing) | ||||||||||
(01) Boot breadth § | 120 | 111 | 127 | 120 | 112 | 127 | 120 | 112 | 127 | 3‡ |
(02) Boot length | 316 | 290 | 345 | 316 | 290 | 345 | 3‡ | |||
(03) Chest depth | 363 | 302 | 420 | 363 | 302 | 420 | 4+ | |||
(04) Chest width | 398 | 352 | 459 | 398 | 352 | 460 | 395 | 350 | 456 | 8+ |
(05) Overhead reach | 2265 | 2099 | 2430 | 2264 | 2098 | 2430 | ||||
(06) Waist depth | 381 | 321 | 452 | 382 | 321 | 453 | 378 | 322 | 454 | 8+ |
(07) Waist width | 458 | 400 | 522 | 458 | 400 | 522 | 6+ | |||
(08) Weight in gear (kg) * | 104.8 | 82.5 | 133.2 | 104.7 | 82.4 | 132.5 | 103.6 | 82.2 | 131.3 | 0.7‡ |
Men, dimension in gear (seated) | ||||||||||
(09) Abdominal breadth | 463 | 406 | 540 | 463 | 406 | 540 | 458 | 405 | 539 | 12‡ |
(10) Abdominal depth | 364 | 304 | 436 | 364 | 304 | 436 | 360 | 304 | 437 | 10+, 11‡ |
(11) Acromion– troch length | 900 | 806 | 1013 | 899 | 806 | 1010 | 895 | 806 | 1009 | |
(12) Bideltoid breadth | 709 | 613 | 796 | 709 | 613 | 796 | 8+ | |||
(13) Bitrochanter length § | 880 | 740 | 1062 | 880 | 739 | 1062 | 872 | 731 | 1059 | |
(14) Buttock– shoe tip length § | 727 | 596 | 824 | 727 | 598 | 824 | 735 | 598 | 832 | 6+, 10‡ |
(15) Elbow–wrist length | 302 | 275 | 330 | 302 | 275 | 330 | 3+ | |||
(16) Eye height | 812 | 755 | 871 | 811 | 755 | 871 | 8+, 7‡ | |||
(17) Grip strength (kg) | 34.1 | 22.0 | 46.5 | 34.1 | 22.0 | 46.0 | ||||
(18) Hip breadth | 597 | 515 | 678 | 597 | 514 | 678 | 8+ | |||
(19) Shoulder–elbow length | 381 | 346 | 416 | 381 | 346 | 416 | 6+, 7‡ | |||
(20) Shoulder–grip length | 612 | 558 | 668 | 612 | 559 | 668 | 10‡ | |||
(21) Thigh clearance | 198 | 166 | 233 | 198 | 166 | 233 | 3+, 5‡ | |||
Men, dimension extracted (face and hand) | ||||||||||
(01) Bigonion breadth | 127 | 111 | 149 | 127 | 111 | 149 | 126 | 111 | 148 | |
(02) Biinfraorbitale breadth | 107 | 91 | 121 | 107 | 91 | 121 | ||||
(03) Face breadth | 150 | 139 | 160 | 150 | 140 | 161 | 2+ | |||
(04) Face length | 124 | 113 | 136 | 124 | 113 | 136 | ||||
(05) Hand breadth § | 97 | 90 | 105 | 97 | 90 | 105 | 97 | 90 | 105 | 2+, 2‡ |
(06) Hand length | 198 | 183 | 213 | 198 | 183 | 214 | 197 | 183 | 213 | 3+, 4‡ |
(07) Head breadth | 161 | 151 | 172 | 161 | 151 | 172 | 161 | 151 | 173 | 2+ |
(08) Midtragion to head top | 145 | 132 | 158 | 145 | 132 | 158 | ||||
(09) Palm breadth § | 96 | 88 | 103 | 96 | 88 | 103 | 96 | 88 | 103 | |
(10) Palm length | 114 | 105 | 123 | 114 | 105 | 123 | 114 | 105 | 124 |
Note. Unit: mm unless otherwise specified.
Denotes that the difference between weighted and unweighted mean, 5th percentile or 95th percentile (bolded), is greater than allowable observer error.
Denotes that the Box–Cox transformation did not reach a satisfactory level for normality: boot breadth (seated in gear), buttock–shoe tip length (seated in gear), bitrochanter length (seated in gear), hand breadth, and palm breadth.
The differences in mean body weight for the weighted and normality transformed modes were 1.4 kg for the without-gear condition and 1.2 kg for the in-gear situation (Table 9). These differences are above the allowable observer error of 0.7 kg (Guan et al., 2012). Body weight data were skewed to the heavy side in this data set (skewness = 1.2 for the without-gear and 1.1 for the in-gear situations), although the skews are no more than moderate. In addition, it must be noted that 5 of the 22 Box–Cox transformed variables did not reach a satisfactory level for normality statistically: boot breadth (seated in gear), buttock–shoe tip length (seated in gear), bitrochanter length (seated in gear), hand breadth, and palm breadth. Given that their means and 5th and 95th percentiles were very close to those of weighted values, the skewness of these data distribution has no practical importance or concern in product design applications.
Anthropometric data of female firefighters
For female firefighters, the weighted and unweighted means for each body dimension were also very close to each other, as were the weighted and unweighted 5th and 95th percentiles for each body dimension, except for body weight in gear (95th percentile), which is above the allowable observer error of 0.7 kg for an amount of 2 kg (Table 10).
Table 10. Differences of Firefighter (Women) Anthropometric Data in Original Strata, Weighted Adjustments, and Normality Transformed Modes.
Dimension | Weighted (Sum of Weights = 86∼88) | Unweighted (N = 86∼88) | Box–Cox Normality Trans. (N = 87∼88) | Allowable Observer Error | ||||||
---|---|---|---|---|---|---|---|---|---|---|
|
|
|
||||||||
M | 5th Percentile | 95th Percentile | M | 5th Percentile | 95th Percentile | M | 5th Percentile | 95th Percentile | ||
Women, dimension without gear (standing) | ||||||||||
(01) Acromion height | 1374 | 1294 | 1459 | 1373 | 1294 | 1459 | 7+, 5‡ | |||
(02) Ankle height | 67 | 58 | 76 | 67 | 58 | 76 | 3+, 3‡ | |||
(03) Axilla height | 1257 | 1171 | 1343 | 1257 | 1176 | 1343 | 10+ | |||
(04) Calf circumference | 376 | 331 | 434 | 377 | 331 | 434 | 374 | 332 | 431 | 5+, 6‡ |
(05) Cervical height | 1429 | 1344 | 1523 | 1428 | 1344 | 1523 | 7+ | |||
(06) Chest breadth | 313 | 278 | 360 | 313 | 280 | 365 | 308 | 277 | 366 | 8+, 15‡ |
(07) Chest circumference * | 973 | 845 | 1166 | 973 | 845 | 1166 | 959 | 843 | 1150 | 15+ |
(08) Chest depth | 263 | 214 | 319 | 262 | 211 | 319 | 259 | 217 | 320 | 4+, 8‡ |
(09) Crotch height | 742 | 670 | 805 | 741 | 670 | 805 | 10+ | |||
(10) Foot breadth | 95 | 87 | 105 | 95 | 87 | 105 | 2+ | |||
(11) Foot length | 247 | 224 | 272 | 247 | 228 | 272 | 3+ | |||
(12) Functional arm span | 1688 | 1564 | 1814 | 1686 | 1564 | 1814 | 10+ | |||
(13) Hip circumference# | 1058 | 945 | 1232 | 1060 | 945 | 1232 | 1045 | 940 | 1228 | 12+ |
(14) Knee height | 448 | 395 | 491 | 448 | 397 | 491 | 6+ | |||
(15) Stature | 1667 | 1575 | 1764 | 1666 | 1575 | 1764 | 11+, 4‡ | |||
(16) Thigh circumference | 615 | 529 | 726 | 616 | 529 | 726 | 6+, 13‡ | |||
(17) Under bust circum. | 835 | 732 | 991 | 836 | 732 | 996 | 821 | 732 | 989 | 16+ |
(18) Vertical trunk circum. | 1607 | 1489 | 1771 | 1608 | 1489 | 1771 | 1554 | 1462 | 1691 | 24+ |
(19) Waist circum. | 869 | 732 | 1050 | 871 | 732 | 1050 | 855 | 735 | 1060 | 11+, 18‡ |
(20) Waist height | 994 | 909 | 1075 | 993 | 909 | 1075 | 7+ | |||
(21) Weight (kg) * # | 72.2 | 56.6 | 97.7 | 72.3 | 56.6 | 98.0 | 70.0 | 55.4 | 97.2 | 0.7‡ |
Women, dimension without gear (seated) | ||||||||||
(22) Acromion breadth | 355 | 327 | 393 | 355 | 327 | 393 | 8+, 6‡ | |||
(23) Acromion– grip length | 597 | 544 | 645 | 596 | 544 | 645 | ||||
(24) Acromion height | 583 | 542 | 625 | 583 | 542 | 625 | 585 | 536 | 625 | 9+, 5‡ |
(25) Acromion– wrist length* | 532 | 488 | 577 | 531 | 488 | 577 | 6+ | |||
(26) Bideltoid breadth # | 489 | 430 | 597 | 489 | 430 | 597 | 480 | 429 | 576 | 8+ |
(27) Bitragion arc length | 347 | 327 | 366 | 347 | 327 | 366 | 7+ | |||
(28) Buttock– knee length | 604 | 561 | 654 | 604 | 561 | 654 | 6+, 10‡ | |||
(29) Elbow height | 237 | 187 | 284 | 238 | 194 | 284 | 10+ 12‡ | |||
(30) Elbow– wrist length | 275 | 251 | 298 | 274 | 251 | 298 | ||||
(31) Functional leg length | 1011 | 942 | 1080 | 1011 | 942 | 1080 | 17+ | |||
(32) Grip strength (kg) | 29.7 | 21.0 | 41.0 | 29.8 | 21.0 | 41.0 | ||||
(33) Head arc length | 342 | 306 | 371 | 342 | 306 | 371 | ||||
(34) Head circumference | 558 | 538 | 582 | 558 | 538 | 582 | 5+ | |||
(35) Hip breadth * | 425 | 372 | 489 | 425 | 372 | 489 | 421 | 368 | 496 | 6+, 8‡ |
(36) Knee height | 510 | 475 | 552 | 509 | 474 | 552 | 2+, 8‡ | |||
(37) Neck circumference | 340 | 308 | 382 | 341 | 310 | 382 | 337 | 308 | 387 | 6+ |
(38) Nuchal height | 746 | 693 | 797 | 745 | 693 | 796 | ||||
(39) Popliteal height | 407 | 370 | 447 | 406 | 370 | 447 | 7+, 8‡ | |||
(40) Sitting height # | 874 | 832 | 923 | 873 | 832 | 923 | 875 | 820 | 922 | 6+, 5‡ |
Women, dimension in gear (standing) | ||||||||||
(01) Boot breadth | 113 | 105 | 121 | 113 | 105 | 121 | 3‡ | |||
(02) Boot length | 288 | 262 | 315 | 288 | 263 | 315 | 3‡ | |||
(03) Chest depth | 345 | 285 | 399 | 344 | 285 | 399 | 4+ | |||
(04) Chest width | 355 | 314 | 411 | 355 | 314 | 411 | 8+ | |||
(05) Overhead reach | 2117 | 1950 | 2271 | 2115 | 1950 | 2280 | ||||
(06) Waist depth | 349 | 288 | 408 | 349 | 290 | 408 | 8+ | |||
(07) Waist width * | 421 | 351 | 494 | 420 | 351 | 494 | 6+ | |||
(08) Weight in gear (kg) * # | 82.6 | 66.5 | 107.0 | 82.8 | 66.5 | 109.7 | 80.6 | 65.1 | 108.2 | 0.7‡ |
Women, dimension in gear (seated) | ||||||||||
(09) Abdominal breadth § | 428 | 364 | 515 | 427 | 364 | 515 | 422 | 365 | 509 | 12‡ |
(10) Abdominal depth * | 328 | 284 | 398 | 329 | 286 | 398 | 323 | 284 | 396 | 10+, 11‡ |
(11) Acromion– troch length | 900 | 806 | 1013 | 899 | 806 | 1010 | 895 | 806 | 1009 | |
(12) Bideltoid breadth | 644 | 568 | 722 | 644 | 568 | 722 | 8+ | |||
(13) Bitrochanter length | 845 | 715 | 1015 | 849 | 715 | 1015 | ||||
(14) Buttock– shoe tip length # § | 700 | 566 | 786 | 700 | 566 | 786 | 707 | 574 | 801 | 6+, 10‡ |
(15) Elbow–wrist length | 279 | 252 | 309 | 280 | 252 | 309 | 3+ | |||
(16) Eye height * # | 767 | 722 | 815 | 767 | 722 | 815 | 769 | 712 | 815 | 8+, 7‡ |
(17) Grip strength (kg) | 34.1 | 22.0 | 46.5 | 34.1 | 22.0 | 46.0 | ||||
(18) Hip breadth | 577 | 513 | 658 | 577 | 513 | 658 | 572 | 513 | 659 | 8+ |
(19) Shoulder–elbow length | 361 | 324 | 401 | 360 | 324 | 399 | 6+, 7‡ | |||
(20) Shoulder–grip length | 585 | 522 | 655 | 585 | 522 | 655 | 10‡ | |||
(21) Thigh clearance | 190 | 157 | 214 | 190 | 159 | 214 | 3+, 5‡ | |||
Women, dimension extracted (face and hand) | ||||||||||
(01) Bigonion breadth | 108 | 98 | 125 | 109 | 98 | 125 | 107 | 98 | 123 | |
(02) Biinfraor-bitale breadth | 100 | 83 | 116 | 99 | 83 | 116 | ||||
(03) Face breadth | 138 | 129 | 147 | 138 | 129 | 147 | 2+ | |||
(04) Face length | 115 | 105 | 124 | 115 | 105 | 124 | ||||
(05) Hand breadth | 87 | 81 | 94 | 87 | 81 | 94 | 87 | 81 | 95 | 2+, 2‡ |
(06) Hand length | 183 | 169 | 197 | 183 | 169 | 197 | 3+, 4‡ | |||
(07) Head breadth | 159 | 149 | 169 | 159 | 149 | 169 | 2+ | |||
(08) Midtragion to head top | 141 | 129 | 154 | 141 | 129 | 154 | ||||
(09) Palm breadth | 85 | 79 | 92 | 85 | 79 | 92 | ||||
(10) Palm length | 104 | 94 | 114 | 104 | 94 | 114 |
Note. Unit: mm unless otherwise specified.
Denotes that the difference between weighted and unweighted mean, 5th percentile or 95th percentile, is greater (bolded) than allowable observer error.
Denotes that the difference between unweighted and normality transformed mean, 5th percentile or 95th percentile, is greater (bolded) than allowable observer error.
Denotes that the Box–Cox transformation did not reach a satisfactory level for normality: seated buttock–shoe tip length and seated abdominal breadth.
Comparisons of the normality transformation results of 23 dimensions with those of the unweighted data set (as well as weighted data set) for their means and 5th and 95th percentile anthropometry measurements showed that the differences in 9 of the 23 dimensions were above the allowable observer errors: chest circumference (standing without gear, 95th percentile), hip circumference (standing without gear, mean), vertical trunk circumference (standing without gear, mean), weight (without gear, mean), bideltoid breadth (sitting without gear, mean), sitting height (without gear, mean), weight (in gear, mean, 5th percentile, and 95th percentile), eye height (sitting in gear, mean), and buttock–shoe tip length (sitting in gear, 95th percentile). Data users also need to know that 2 of the 23 Box–Cox transformed variables did not reach a satisfactory level for normality: buttock–shoe tip length (seated in gear) and abdominal breadth (seated in gear).
Discussion
Raw data versus weighted data in design applications
An anthropometric database is most useful for a product design application when its composition accurately represents the demographic characteristics of the target product user population. A well-intended and well-executed anthropometric survey can meet the composition goal. Many surveys often employ sampling weighting to correct potential sampling biases whether they resulted from reduced participation in certain sample categories or an unexpected overparticipation in a sample group. In addition, many product design applications involve multiple anthropometric parameters (Hsiao, 2013), which may require designers to use raw data instead of tabulated single-dimensional data for making intelligent decisions. This study verified that the differences among original data, weighted data, and normality transformed data for male firefighters are small enough to be of no practical significance, which demonstrates that the collected original raw data in Study 1 contain negligible nonnormality concerns or weighting requirements for practical fire apparatus design applications.
For female firefighter data, the similarity between the weighted and unweighted data suggests that this study sample was reasonably representative of the firefighter population in anthropometric dimensions, with an understanding that 9 of the reported 71 dimensions have a larger deviation than others. With a relatively small sample size of 88, caution needs to be exercised in using the original raw data. There were a few “outlier” participants in this database, and there is insufficient information to determine whether this is representative of the national female firefighter community. A normality transformation is desired if raw data on female chest circumference, hip circumference, vertical trunk circumference, weight, bideltoid breadth, sitting height, eye height, and buttock–shoe tip length are used for design purposes.
Conclusion
The anthropometry raw data of male firefighters from Study 1 represent the demographic characteristics of the current firefighter population reasonably well and can be directly employed into fire apparatus design applications. The original raw data (excluding body weight) have no major abnormality and weighting concerns in practical design cases. The study sample of female firefighters was reasonably representative of the firefighter population in anthropometric dimensions. With the relatively small sample size, a normality transformation is desired if raw data on chest circumference, hip circumference, vertical trunk circumference, weight, bideltoid breadth, sitting height, eye height, and buttock–shoe tip length are used for design purposes.
Overall Discussion
The “Natural” Distribution of Body Weight
Body weight data and its relevant dimensions (i.e., chest, waist, and hip circumferences) were skewed to the heavy side (a larger tail to the right) in this data set. Literature has shown that an increase in body weight appears to be a characteristic feature of a population as a whole and does not seem to be a separate problem of only heavier people (Hermanussen, Danker-Hopfe, & Weber, 2001). Although firefighters on average have larger body builds than those of the general U.S. population as demonstrated in the current study, they are not immune from the overweight prevalence. About 31.5% of the study participants' body mass indexes fall in the category of severe overweight (≥31.1 kg/m2 for men and ≥32.3 kg/m2 for women), based on the criteria recommended in the consensus statement of the 1985 National Institute of Health Development Conference on the Health Implications of Obesity (Rowland, 1989). This information needs to be factored into protective gear design for firefighters, especially for protective jackets, pants, and the strap configurations of self-contained breathing apparatus.
Study limitations
This study used a stratified sampling plan of 3 age × 3 race/ethnicity × 2 gender combinations to collect anthropometric data in four geographical regions, centered in four metro areas and their vicinities. Expanding data collection in rural areas would improve the sample representation of national firefighters in that most career firefighters serve in metro areas and most volunteer firefighters serve on departments that protect communities of fewer than 10,000 residents (Karter, 2013). However, adding the additional stratum (i.e., career vs. volunteer) in this already-complicated study was cost prohibitive. Career and volunteer firefighters were therefore considered as a group in this study and extra efforts were extended to reach out to volunteer firefighters in the vicinity of the four study areas to participate in the study. An analysis of key dimensions (i.e., stature, body weight, and some circumference measurements) of male firefighters between career and volunteer groups in this study did not demonstrate a significant difference in means between the groups. Considering career and volunteer firefighters as a group in this study was scientifically reasonable and financially practical, although volunteer firefighters were underrepresented. Sample sizes of female firefighters from these studies were too small for a meaningful comparison of their anthropometric difference between career and volunteer groups.
Recognizing the challenge in recruiting participants who resided 30 miles away from data collection sites and the space constraints at rural fire departments for setting up study scanners, the National Institute for Occupational Safety and Health has developed a new data collection trailer equipped with multiple three-dimensional scanning devices for future anthropometry studies. Until then, the firefighter anthropometry data from this study remain the best available national data for fire apparatus design applications.
Key Points.
A first-available large-scale national anthropometry survey of U.S. firefighters was conducted and 71 anthropometric measurements were collected for advancing fire apparatus and protective equipment designs. Male firefighters were on average 9.8 kg heavier and larger in upper-body builds than males in the general U.S. population. Female firefighters were significantly taller than females in the general U.S. population by 29 mm on average and have larger physiques than those of females of the general U.S. population.
The sampling process and data method for the national firefighter anthropometry survey set a model for facilitating similar anthropometry studies of other occupational groups (e.g., law enforcement officers and emergency medical service persons) aiming for an array of safety equipment design.
Firefighters on average wear equipment and clothing of 11.9 kg for men and 10.5 kg for women and their average grip strength was reduced for 9.8 kg for men and 8.6 kg for women comparing the with-glove to no-glove conditions. Research on reducing equipment weight and improving glove design to maintain good grip strength is desirable to lessen potential physiological and biomechanical burden on firefighters.
The anthropometry raw data of male firefighters from Study 1 represent the demographic characteristics of the current firefighter population and can be directly employed into fire apparatus design applications with no major weighting or abnormality concerns. With the relatively small sample size of female firefighters, a normality transformation is desired if raw data of female firefighter chest circumference, hip circumference, vertical trunk circumference, weight, bideltoid breadth, sitting height, eye height, and buttock–shoe tip length are used for design purposes.
Acknowledgments
The authors would like to thank Robert Ferri, Bradley Newbraugh, John Powers, Rick Current, Darlene Weaver, Joyce Zwiener, Jinhua Guan, Alfred Amendola, Gene Hill, and Cathy Rotunda for their tireless support of this project, including transporting, installing, and calibrating the scanning equipment for all four geographic sites, organizing scientific literature, and providing logistical and administrative upkeep. The authors would also like to thank Ron Siarnicki for his insightful input and vital selection of measurement sites. We are in debt to many fire station managers who provided unfailing subject recruitment and scheduling of subjects as well as excellent facilities in support of this endeavor: Andy Johnston, Chief Michael Clemens, and Chief Kevin Frazier of the Montgomery Fire Department in Rockville, Maryland; Chief Mike Smith and Captain Mike Gafney of the Phoenix Fire Department in Phoenix, Arizona; Chief Henry Costo and Captain Jesse Wilson of the Philadelphia Fire Department; Captain Homer Robertson and Chief Mark Marshall of the Fort Worth Fire Department; Firefighter Mary Ann Hubbard of the Austin Fire Department; and Chief Brooke Hildreth of the San Antonio Fire Department. Thanks also go to the National Fallen Firefighters Foundation (NFFF), International Association of Fire Chiefs (IAFC), International Association of Fire Fighters (IAFF), Fire Apparatus Manufacturers Association (FAMA), and National Fire Protection Association (NFPA) for their support and insightful suggestions in project planning and execution.
Biographies
Hongwei Hsiao is chief of the Protective Technology Branch, National Institute for Occupational Safety and Health, and an adjunct professor at West Virginia University in Morgantown, West Virginia. He earned his PhD in industrial engineering from the University of Michigan, Ann Arbor, in 1990.
Jennifer Whitestone is the president of Total Contact Inc., Germantown, Ohio. She earned her master's degree in biomedical engineering from Wright State University, Dayton, Ohio, in 1996.
Tsui-Ying Kau is the clinical information analyst staff specialist/statistician for Clinical Information and Decision Support Services, Office of Clinical Affairs, Hospitals and Health Centers, at the University of Michigan, where she earned her MPH in biostatistics in 1981.
Richard Whisler is an information technology specialist in the Technology Development Team of the Protective Technology Branch at the National Institute for Occupational Safety and Health. He has earned two associate's degrees, one in computer information management from Computer Tech in 1993 and the other in computer animation and multimedia from the Art Institute of Pittsburgh in 1995.
J. Gordon Routley serves as a special advisor to the fire chief in Montreal, Canada, and is a member of the Board of Directors of the Safety, Health and Survival Section of the International Association of Fire Chiefs.
Michael Wilbur is a career firefighter with the New York City Fire Department and CEO at Emergency Vehicle Response, Otisville, New York.
Appendix A
Description of Anthropometric Measurements
Measured Without Gear (Standing)
(01) Acromial height, standing: The vertical distance between a standing surface and the acromion landmark on the tip of the right shoulder. The subject stands erect looking straight ahead. The heels are together with the weight distributed equally on both feet. The shoulders and upper extremities are relaxed. The measurement is made at the maximum point of quiet respiration.
(02) Ankle height, standing (lateral malleolus, right): The vertical distance is measured between a standing surface and the lateral malleolus landmark on the outside of the right ankle. The subject stands erect with the heels together and the weight distributed equally on both feet.
(03) Axilla height, standing: The vertical distance between a standing surface and the anterior point of the axilla is measured with an anthropometer. The subject stands erect looking straight ahead. The heels are together with the weight distributed equally on both feet. The shoulders and upper extremities are relaxed. The measurement is made at the maximum point of quiet respiration.
(04) Calf circumference, standing: The maximum horizontal circumference of the right calf is measured with a tape. The subject stands erect with the heels approximately 10 cm apart and the weight distributed equally on both feet.
(05) Cervicale height, standing: The vertical distance between a standing surface and the cervicale landmark on the back of the head. The subject stands erect looking straight ahead. The heels are together with the weight distributed equally on both feet. The shoulders and upper extremities are relaxed. The measurement is made at the maximum point of quiet respiration.
(06) Chest breadth, standing: The maximum horizontal breadth of the chest at the level of the right bust point on women or the nipple on men is measured with a beam caliper. The subject stands erect looking straight ahead with the heels together, the weight distributed equally on both feet. The measurement is taken at the maximum point of quiet respiration.
(07) Chest circumference, standing: The maximum horizontal circumference of the chest at the fullest part of the breast is measured with a tape. The subject stands erect looking straight ahead. The shoulders and upper extremities are relaxed. The measurement is taken at the maximum point of quiet respiration.
(08) Chest depth, standing: The horizontal distance between the chest, at the level of the right bust point on women or the nipple on men, and the back at the same level is measured with a beam caliper. The subject stands erect looking straight ahead. The shoulders and upper extremities are relaxed. The measurement is taken at the maximum point of quiet respiration.
(09) Crotch height, standing: Vertical distance from the standing surface to the crotch. Subject stands erect with feet slightly apart.
(10) Foot breadth, standing: The subject stands with the weight distributed equally on both feet. The maximum horizontal distance across the right foot perpendicular to its long axis is measured between the inside and the outside of the foot.
(11) Foot length, standing: The subject stands with the weight distributed equally on both feet. The distance between the back-most point of the right heel and the tip of the longest toe is measured to the long axis of the foot.
(12) Functional arm span, standing: The subject stands erect with the back against a wall. The subject outstretches the arms horizontally at shoulder height. The distance between the tips of the middle fingers of the outstretched arms is measured.
(13) Hip circumference, standing: Maximal horizontal circumference over the buttocks. The subject stands erect with heels together.
(14) Knee height, standing: The vertical distance between a standing surface and the point at knee crease is measured. The subject stands erect looking straight ahead. The heels are together with the weight distributed equally on both feet. The shoulders and upper extremities are relaxed. The measurement is made at the maximum point of quiet respiration.
(15) Stature: Vertical distance from the standing surface to the highest point of the head (vertex). Subject stands erect with feet placed on premarked footprints with approximately ten centimeters apart at the inside of the heel and 33° rotation at the toes.
(16) Thigh circumference, standing: Circumference of the right thigh at its juncture with the buttock. The subject stands erect with legs spread apart just enough so that the thighs do not touch.
(17) Under bust circumference, standing: The horizontal circumference of the chest directly below the bust is measured with a tape. The subject stands erect looking straight ahead. The shoulders and upper extremities are relaxed. The measurement is taken at the maximum point of quiet respiration.
(18) Vertical trunk circumference, standing: The subject stands erect looking straight ahead. The arms hang relaxed at the sides, and the feet are shoulder width apart with the weight distributed equally on both feet. The vertical circumference of the torso is measured by passing a tape over the right shoulder, nipple (or most forward point of the bra), through the crotch, and over the most protrusive point of the right buttock. On men, the tape follows the surface contours of the body. On women, it follows the body contours except from the most protrusive point of the bra to the crotch.
(19) Waist circumference, standing: Horizontal circumference of the waist at the level of the center of preferred waist height. The subject stands erect with heels together.
(20) Waist height, standing: The vertical distance between a standing surface and the point at the subject's preferred waist. The subject stands erect looking straight ahead. The heels are together with weight distributed equally on both feet. The shoulders and upper extremities are relaxed. The measurement is made at the maximum point of quiet respiration.
(21) Weight: Weight of the subject. Subject stands on the scale fully erect with weight distributed equally on both feet.
Measured Without Gear (Seated)
(22) Acromion breadth, sitting: The subject sits erect on a flat surface looking straight ahead. The upper arms are hanging relaxed at the sides with the forearms and hands on the thighs. The breadth measurement is from the right acromion to the left acromion.
(23) Acromion–grip length, sitting: The subject sits erect with back against a flat surface. The right arm is extended straight ahead while a dowel rod is held vertically in it. The horizontal measurement is taken from the right acromion to the top middle point of the dowel rod.
(24) Acromion height, sitting: The subject sits erect on a flat surface looking straight ahead. The vertical distance is measured between the sitting surface and the tip of the right shoulder (acromion).
(25) Acromion–wrist length, sitting: The subject sits erect with back against a flat surface. The right arm is extended straight ahead while a dowel rod is held vertically in it. The horizontal measurement is taken from the right acromion to the most lateral point (radial styloid) of the right wrist.
(26) Bideltoid breadth, sitting: The subject sits erect on a flat surface looking straight ahead. The upper arms are hanging relaxed at the sides with the forearms and hands on the thighs. The maximum horizontal distance is measured between the outside of the upper arms at the level of the deltoid muscle and as low as the level of the elbows.
(27) Bitragion arc length, sitting: The surface distance from right to left tragion across the most superior point in the head measured with a tape measure.
(28) Buttock–knee length, sitting: The subject sits erect on a flat surface looking straight ahead. The thighs are parallel, and the feet are in line with the thighs on a surface adjusted so that the knees are bent 90°. The horizontal distance is measured from the most protrusive point of the right buttock to the most forward point of the right knee.
(29) Elbow height, sitting: The subject sits erect on a flat surface looking straight ahead. Upper arms hang freely downward and forearms are horizontal. The vertical measurement is taken from the horizontal sitting surface to the lowest bony point of the elbow.
(30) Elbow–wrist length, sitting: The subject sits erect with back against a flat surface. The right arm is extended straight ahead while a dowel rod is held vertically in it. The horizontal measurement is taken from the right elbow to the most lateral point of the right wrist.
(31) Functional leg length, sitting: The calculated sum of the buttock–knee length seated measurement and the popliteal height seated measurement.
(32) Grip strength, sitting: The subject squeezes the dynamometer (a force measuring instrument) with their predominant hand using his/her maximum force.
(33) Head arc length, sitting: Surface length along contours of head from glabella to nuchal measured with a tape measure.
(34) Head circumference, sitting: Maximum circumference of the head above the attachment of the ears to the head, just above the ridges of the eyebrows, and around the back of the head.
(35) Hip breadth, sitting: The subject sits erect on a flat surface. The maximum horizontal breadth across the hips or thighs is measured.
(36) Knee height, sitting: The subject sits erect on a flat surface. The thighs are parallel, and the feet are in line with the thigh on a surface adjusted so that the knees are bent at 90°. The vertical distance is measured between the foot surface and the top of the right knee.
(37) Neck circumference, sitting: Horizontal circumference of the neck above the laryngeal prominence measured with a tape measure.
(38) Nuchal height, sitting: The subject sits erect looking straight ahead. The vertical distance is measured between the seated plane and the most protrusive point of the nuchal.
(39) Popliteal height, sitting: The subject sits erect on a flat surface. The thighs are parallel, and the feet are in line with the thighs on a surface adjusted so that the knees are bent 90°. The vertical distance is measured between the foot surface and the lowest point of the bottom of the thigh at the juncture with the calf behind the knee (popliteal fossa).
(40) Sitting height: The subject sits erect on a flat surface looking straight ahead with the head in the Frankfort plane. The vertical distance is measured between the sitting surface and the top of the head.
Measured in Gear (Standing)
(01) Boot breadth, standing: The subject stands with the weight distributed equally on both feet in the turnout gear. The maximum horizontal distance across the right boot perpendicular to its long axis is measured between the inside and outside of the boot.
(02) Boot length, standing: The subject stands with the weight distributed equally on both feet in the turnout gear. The distance between the back-most point of the right heel of the boot and the most anterior part of the boot is measured parallel to the long axis of the foot.
(03) Chest depth, standing: The subject stands erect looking straight ahead in the turnout gear. The horizontal depth of the chest is measured from the front to back at the level of the most protrusive point of the right bra pocket on women or of the right nipple on men.
(04) Chest width, standing: The subject stands erect looking straight ahead in the turnout gear. The arms hang relaxed at the sides. The horizontal breadth of the chest is measured at the level of the nipples on men or the most protrusive point of a bra on women.
(05) Overhead reach, standing: The subject stands erect in turnout gear with the right arm extended overhead to maximum height while left arm is relaxed to the side. The vertical distance between a standing surface and the tip of the right middle finger is measured.
(06) Waist depth, standing: The subject stands erect looking straight ahead in the turnout gear. The feet are shoulder width apart with the weight distributed equally on both feet. The abdominal muscles are relaxed. The maximum horizontal distance is measured between the back and the front of the waist at the level of the greatest indentation.
(07) Waist width, standing: The subject stands erect looking straight ahead in the turnout gear. The arms hang relaxed at the sides, and the heels are together with the weight distributed equally on both feet. The breadth of the torso is measured in the region of the waist at the level of its greatest indentation.
(08) Weight in gear: The subject wears turnout gear including tools in pockets and stands on a scale with the feet parallel and the weight distributed equally on both feet.
Measured in Gear (Seated)
(09) Abdominal breadth, sitting: The subject sits erect on a flat surface in turnout gear looking straight ahead. The abdominal muscles are relaxed. The horizontal breadth of the torso is measured at the level of the most protrusive point of the gear at the abdomen.
(10) Abdominal depth, sitting: The subject sits erect on a flat surface in turnout gear looking straight ahead. The abdominal muscles are relaxed. The horizontal distance is measured between the back and the most protrusive point of the gear at the abdomen.
(11) Acromion–trochanter length, sitting: The subject sits on a flat surface in turnout gear. The thighs are parallel, and the feet are in line with the thighs on a surface adjusted so that the knees are bent 90°. The contour distance from the right acromion to the left trochanter is measured across the gear.
(12) Bideltoid breadth/width, sitting (Maximum torso breadth): The subject sits erect on a flat surface in turnout gear. The upper arms are hanging relaxed at the sides. The maximum horizontal distance of the turnout gear is measured between the outside of the upper arms at the level of the deltoid muscles and as low as the level of the elbows.
(13) Bitrochanter length, sitting (curve): The subject sits on a flat surface in turnout gear. The thighs are parallel, and the feet are in line with the thighs on a surface adjusted so that the knees are bent 90°. The maximum distance on the turnout gear from the right trochanter to the left trochanter is measured going above the legs.
(14) Buttock–shoe tip length, sitting: The subject sits on a flat surface in turnout gear. The thighs are parallel, and the feet are in line with the thighs on a surface adjusted so that the knees are bent 90°. The horizontal straight-line distance is measured between the back right buttock and the most anterior part of the boot.
(15) Elbow–wrist length, sitting: The subject sits erect looking straight ahead in turnout gear. The right upper arm is hanging relaxed at the side with the forearm and hand extended horizontally with the palms facing each other. The horizontal distance is measured between the back of the tip of the elbow and the wrist.
(16) Eye height, sitting: The subject sits erect in turnout gear on a flat surface looking straight ahead. The vertical distance is measured between the sitting surface and a corner of the right eye.
(17) Grip strength, sitting: The subject squeezes the dynamometer (a force measuring instrument) with their predominant hand using his/her maximum force while wearing an extrication glove.
(18) Hip breadth, sitting: The subject sits erect on a flat surface in turnout gear. The maximum horizontal breadth of the turnout gear across the hips is measured.
(19) Shoulder–elbow length, sitting: The subject sits erect looking straight ahead in turnout gear, the upper arms hang relaxed at the sides with the forearms and hands extended forward horizontally and the palms facing each other. The vertical distance is measured between the tip of the right shoulder and the underside of the bent elbow.
(20) Shoulder–grip length, sitting: The subject sits erect looking straight ahead in turnout gear. The buttocks and the shoulder blades touch a back rest. The right arm is extended forward horizontally. The dowel rod is held vertically. The horizontal distance is measured between the (back) wall and the top, middle point of the dowel rod.
(21) Thigh clearance, sitting: The subject sits on a flat surface in turnout gear. The thighs are parallel, and the feet are in line with the thighs on a surface adjusted so that the knees are bent 90°. The vertical distance is measured between the sitting surface and the topmost point of the thigh.
Extracted Head–Face and Hand Dimensions
(01) Bigonion breadth: The straight-line distance between the right and left gonion landmarks on the corners of the jaw is measured calculating point to point distance using 3D visualization software.
(02) Biinfraorbitale breadth: The straight-line distance between the right and left infraorbitale landmarks on the bottom edge of the bony eye sockets under the eyes is measured calculating the point to point distance using 3D visualization software.
(03) Face breadth: The straight-line distance between the right and left tragion landmarks on the cartilaginous flaps in front of the each ear hole is measured calculating point to point distance using 3D visualization software.
(04) Face length: The straight-line distance between the menton landmark at the bottom of the chin and the sellion landmark on the deepest point of the root of the nose measured as a point to point distance in 3D visualization software.
(05) Hand breadth: Breadth of the right hand between the landmarks at metacarpale II and metacarpale V. The fingers are parallel to the long axis of the forearm.
(06) Hand length: Length of the right hand between the distal crease at the wrist and the tip of the middle finger. The middle finger is parallel to the long axis of the forearm.
(07) Head breadth: The maximum horizontal breadth of the head above the attachment of the ears is measured using the virtual calipers in 3D visualization software.
(08) Midtragion to head top length: The vertical distance between midtragion, as calculated from right and left tragion, to the top of head.
(09) Palm breadth: The palm breadth is the distance between the point to the left of the distal transverse crease and the point to the right of the proximal transverse crease.
(10) Palm length: The length of the palm is measured between the base of the middle finger and the distal crease at the wrist.
Appendix B
Summary Statistics for Firefighter Anthropometry (Weighted; In millimeters).
Dimension | Sum of Weights | M | SD | 5th Percentile | 95th Percentile | SE of M | 95% CI-L | 95% CI-U |
---|---|---|---|---|---|---|---|---|
Dimension without gear (men; standing) | ||||||||
(01) Acromion height | 863 | 1458 | 62 | 1356 | 1565 | 2.1 | 1454 | 1462 |
(02) Ankle height | 863 | 72 | 7 | 61 | 83 | 0.2 | 72 | 73 |
(03) Axilla height | 863 | 1322 | 61 | 1226 | 1426 | 2.1 | 1318 | 1326 |
(04) Calf circumference | 863 | 398 | 29 | 353 | 449 | 1.0 | 396 | 400 |
(05) Cervical height | 863 | 1519 | 62 | 1417 | 1621 | 2.1 | 1515 | 1523 |
(06) Chest breadth | 863 | 358 | 28 | 315 | 409 | 1.0 | 356 | 360 |
(07) Chest circumference | 863 | 1104 | 91 | 968 | 1268 | 3.1 | 1098 | 1110 |
(08) Chest depth | 861 | 281 | 27 | 238 | 327 | 0.9 | 279 | 283 |
(09) Crotch height | 863 | 785 | 44 | 713 | 858 | 1.5 | 782 | 788 |
(10) Foot breadth | 863 | 104 | 6 | 95 | 113 | 0.2 | 104 | 105 |
(11) Foot length | 863 | 270 | 13 | 248 | 292 | 0.4 | 269 | 271 |
(12) Functional arm span | 859 | 1817 | 80 | 1690 | 1952 | 2.7 | 1812 | 1823 |
(13) Hip circumference | 863 | 1077 | 75 | 965 | 1208 | 2.6 | 1072 | 1082 |
(14) Knee height | 863 | 477 | 29 | 430 | 525 | 1.0 | 475 | 479 |
(15) Stature | 863 | 1769 | 67 | 1660 | 1881 | 2.3 | 1765 | 1773 |
(16) Thigh circumference | 863 | 619 | 47 | 543 | 701 | 1.6 | 616 | 622 |
(17) Under bust circum. | 863 | 1031 | 91 | 894 | 1190 | 3.1 | 1025 | 1037 |
(18) Vertical trunk circum. | 863 | 1775 | 91 | 1635 | 1935 | 3.1 | 1769 | 1781 |
(19) Waist circumference | 863 | 971 | 105 | 828 | 1165 | 3.6 | 964 | 978 |
(20) Waist height | 861 | 1032 | 52 | 946 | 1118 | 1.8 | 1028 | 1035 |
(21) Weight (kg) | 863 | 93.0 | 14.8 | 71.3 | 120.4 | 0.5 | 92.0 | 93.9 |
Dimension without gear (men; seated) | ||||||||
(22) Acromion breadth | 863 | 397 | 19 | 366 | 429 | 0.7 | 396 | 398 |
(23) Acromion–grip length | 861 | 633 | 31 | 583 | 685 | 1.1 | 631 | 635 |
(24) Acromion height | 863 | 614 | 30 | 563 | 664 | 1.0 | 612 | 616 |
(25) Acromion–wrist length | 861 | 567 | 29 | 521 | 616 | 1.0 | 565 | 569 |
(26) Bideltoid breadth | 862 | 574 | 52 | 497 | 663 | 1.8 | 570 | 577 |
(27) Bitragion arc length | 860 | 364 | 13 | 343 | 384 | 0.4 | 363 | 365 |
(28) Buttock–knee length | 860 | 630 | 32 | 578 | 685 | 1.1 | 628 | 632 |
(29) Elbow height | 863 | 242 | 27 | 197 | 290 | 0.9 | 240 | 244 |
(30) Elbow–wrist length | 862 | 299 | 15 | 275 | 325 | 0.5 | 298 | 300 |
(31) Functional leg length | 863 | 1069 | 51 | 987 | 1152 | 1.7 | 1066 | 1072 |
(32) Grip strength (kg) | 863 | 43.9 | 8.9 | 30.0 | 58.5 | 0.3 | 43.3 | 44.5 |
(33) Head arc length | 863 | 356 | 18 | 328 | 386 | 0.6 | 355 | 358 |
(34) Head circumference | 861 | 578 | 14 | 553 | 601 | 0.5 | 577 | 579 |
(35) Hip breadth | 862 | 437 | 34 | 384 | 498 | 1.2 | 434 | 439 |
(36) Neck circumference | 863 | 413 | 28 | 372 | 465 | 1.0 | 411 | 415 |
(37) Knee height | 863 | 544 | 28 | 500 | 589 | 0.9 | 542 | 546 |
(38) Nuchal height | 863 | 787 | 36 | 729 | 847 | 1.2 | 784 | 789 |
(39) Popliteal height | 863 | 439 | 25 | 399 | 481 | 0.8 | 438 | 441 |
(40) Sitting height | 863 | 924 | 35 | 866 | 987 | 1.2 | 922 | 927 |
Dimension in gear (men; standing) | ||||||||
(01) Boot breadth | 863 | 120 | 5 | 111 | 127 | 0.2 | 119 | 120 |
(02) Boot length | 863 | 316 | 17 | 290 | 345 | 0.6 | 315 | 317 |
(03) Chest depth | 863 | 363 | 35 | 302 | 420 | 1.2 | 361 | 366 |
(04) Chest width | 863 | 398 | 32 | 352 | 459 | 1.1 | 395 | 400 |
(05) Overhead grip reach | 858 | 2265 | 103 | 2099 | 2430 | 3.5 | 2258 | 2272 |
(06) Waist depth | 863 | 381 | 40 | 321 | 452 | 1.4 | 379 | 384 |
(07) Waist width | 862 | 458 | 36 | 400 | 522 | 1.2 | 455 | 460 |
(08) Weight in gear (kg) | 863 | 104.8 | 15.0 | 82.5 | 133.2 | 0.5 | 103.8 | 105.8 |
Dimension in gear (men; seated) | ||||||||
(09) Abdominal breadth | 863 | 463 | 42 | 406 | 540 | 1.4 | 460 | 466 |
(10) Abdominal depth | 862 | 364 | 40 | 304 | 436 | 1.4 | 361 | 367 |
(11) Acromion–troch length | 863 | 900 | 62 | 806 | 1013 | 2.1 | 896 | 904 |
(12) Bideltoid breadth | 863 | 709 | 54 | 613 | 796 | 1.9 | 705 | 712 |
(13) Bitrochanter length | 863 | 880 | 100 | 740 | 1062 | 3.4 | 874 | 887 |
(14) Buttock–shoe tip length | 863 | 727 | 72 | 596 | 824 | 2.4 | 723 | 732 |
(15) Elbow–wrist length | 863 | 302 | 17 | 275 | 330 | 0.6 | 301 | 303 |
(16) Eye height | 863 | 812 | 34 | 755 | 871 | 1.2 | 810 | 814 |
(17) Grip strength (kg) | 852 | 34.1 | 7.5 | 22.0 | 46.5 | 0.3 | 33.6 | 34.6 |
(18) Hip breadth | 863 | 597 | 50 | 515 | 678 | 1.7 | 593 | 600 |
(19) Shoulder–elbow length | 863 | 381 | 21 | 346 | 416 | 0.7 | 380 | 383 |
(20) Shoulder–grip length | 861 | 612 | 33 | 558 | 668 | 1.1 | 610 | 615 |
(21) Thigh clearance | 861 | 198 | 20 | 166 | 233 | 0.7 | 196 | 199 |
Dimension extracted (men; face and hand) | ||||||||
(01) Bigonion breadth | 863 | 127 | 11 | 111 | 149 | 0.4 | 126 | 128 |
(02) Biinfraorbitale breadth | 861 | 107 | 9 | 91 | 121 | 0.3 | 106 | 107 |
(03) Face breadth | 863 | 150 | 6 | 139 | 160 | 0.2 | 149 | 150 |
(04) Face length | 863 | 124 | 7 | 113 | 136 | 0.2 | 123 | 124 |
(05) Hand breadth | 858 | 97 | 5 | 90 | 105 | 0.2 | 97 | 98 |
(06) Hand length | 857 | 198 | 9 | 183 | 213 | 0.3 | 197 | 198 |
(07) Head breadth | 862 | 161 | 7 | 151 | 172 | 0.2 | 161 | 162 |
(08) Midtragion to head top length | 860 | 145 | 8 | 132 | 158 | 0.3 | 144 | 145 |
(09) Palm breadth | 858 | 96 | 5 | 88 | 103 | 0.2 | 96 | 96 |
(10) Palm length | 858 | 114 | 6 | 105 | 123 | 0.2 | 113 | 114 |
Dimension without gear (women; standing) | ||||||||
(01) Acromion height | 86 | 1374 | 53 | 1294 | 1459 | 5.8 | 1362 | 1385 |
(02) Ankle height | 87 | 67 | 6 | 58 | 76 | 0.6 | 66 | 69 |
(03) Axilla height | 86 | 1257 | 54 | 1171 | 1343 | 5.8 | 1246 | 1269 |
(04) Calf circumference | 88 | 376 | 30 | 331 | 434 | 3.2 | 370 | 383 |
(05) Cervical height | 86 | 1429 | 55 | 1344 | 1523 | 6.0 | 1417 | 1440 |
(06) Chest breadth | 88 | 313 | 28 | 278 | 360 | 3.0 | 307 | 319 |
(07) Chest circumference | 88 | 973 | 94 | 845 | 1166 | 10.0 | 953 | 992 |
(08) Chest depth | 88 | 263 | 31 | 214 | 319 | 3.3 | 256 | 269 |
(09) Crotch height | 86 | 742 | 41 | 670 | 805 | 4.4 | 733 | 751 |
(10) Foot breadth | 88 | 95 | 5 | 87 | 105 | 0.5 | 94 | 96 |
(11) Foot length | 88 | 247 | 13 | 224 | 272 | 1.3 | 244 | 250 |
(12) Functional arm span | 88 | 1688 | 74 | 1564 | 1814 | 7.9 | 1672 | 1704 |
(13) Hip circumference | 88 | 1058 | 88 | 945 | 1232 | 9.4 | 1040 | 1077 |
(14) Knee height | 86 | 448 | 26 | 395 | 491 | 2.8 | 442 | 453 |
(15) Stature | 87 | 1667 | 60 | 1575 | 1764 | 6.4 | 1654 | 1680 |
(16) Thigh circumference | 88 | 615 | 59 | 529 | 726 | 6.3 | 603 | 628 |
(17) Under bust circumference | 88 | 835 | 80 | 732 | 991 | 8.6 | 818 | 852 |
(18) Vertical trunk circumference | 88 | 1607 | 84 | 1489 | 1771 | 9.0 | 1590 | 1625 |
(19) Waist circumference | 88 | 869 | 99 | 732 | 1050 | 10.6 | 848 | 890 |
(20) Waist height | 86 | 994 | 53 | 909 | 1075 | 5.7 | 982 | 1005 |
(21) Weight (kg) | 88 | 72.2 | 12.8 | 56.6 | 97.7 | 1.4 | 69.4 | 74.9 |
Dimension without gear (women; seated) | ||||||||
(22) Acromion breadth | 88 | 355 | 20 | 327 | 393 | 2.2 | 350 | 359 |
(23) Acromion–grip length | 88 | 597 | 30 | 544 | 645 | 3.2 | 591 | 604 |
(24) Acromion height | 88 | 583 | 27 | 542 | 625 | 2.9 | 577 | 589 |
(25) Acromion–wrist length | 88 | 532 | 27 | 488 | 577 | 2.8 | 526 | 538 |
(26) Bideltoid breadth | 88 | 489 | 47 | 430 | 597 | 5.0 | 479 | 499 |
(27) Bitragion arc length | 87 | 347 | 12 | 327 | 366 | 1.3 | 344 | 349 |
(28) Buttock–knee length | 88 | 604 | 27 | 561 | 654 | 2.9 | 599 | 610 |
(29) Elbow height | 88 | 237 | 28 | 187 | 284 | 3.0 | 231 | 243 |
(30) Elbow–wrist length | 88 | 275 | 14 | 251 | 298 | 1.5 | 272 | 278 |
(31) Functional leg length | 88 | 1011 | 43 | 942 | 1080 | 4.6 | 1002 | 1020 |
(32) Grip strength (kg) | 88 | 29.7 | 6.3 | 21.0 | 41.0 | 0.7 | 28.3 | 31.0 |
(33) Head arc length | 88 | 342 | 20 | 306 | 371 | 2.2 | 338 | 346 |
(34) Head circumference | 87 | 558 | 14 | 538 | 582 | 1.6 | 555 | 561 |
(35) Hip breadth | 87 | 425 | 39 | 372 | 489 | 4.1 | 417 | 434 |
(36) Knee height | 88 | 510 | 24 | 475 | 552 | 2.5 | 505 | 515 |
(37) Neck circumference | 88 | 340 | 25 | 308 | 382 | 2.6 | 335 | 345 |
(38) Nuchal height | 88 | 746 | 33 | 693 | 797 | 3.5 | 739 | 753 |
(39) Popliteal height | 88 | 407 | 23 | 370 | 447 | 2.5 | 402 | 412 |
(40) Sitting height | 88 | 874 | 31 | 832 | 923 | 3.3 | 867 | 881 |
Dimension in gear (women; standing) | ||||||||
(01) Boot breadth | 88 | 113 | 5 | 105 | 121 | 0.5 | 112 | 114 |
(02) Boot length | 88 | 288 | 15 | 262 | 315 | 1.6 | 285 | 292 |
(03) Chest depth | 88 | 345 | 35 | 285 | 399 | 3.8 | 337 | 352 |
(04) Chest width | 88 | 355 | 30 | 314 | 411 | 3.2 | 349 | 361 |
(05) Overhead grip reach | 88 | 2117 | 99 | 1950 | 2271 | 10.5 | 2096 | 2138 |
(06) Waist depth | 88 | 349 | 40 | 288 | 408 | 4.3 | 341 | 358 |
(07) Waist width | 88 | 421 | 45 | 351 | 494 | 4.7 | 411 | 430 |
(08) Weight in gear (kg) | 88 | 82.6 | 13.2 | 66.5 | 107.0 | 1.4 | 79.8 | 85.4 |
Dimension in gear (women; seated) | ||||||||
(09) Abdominal breadth | 88 | 428 | 44 | 364 | 515 | 4.7 | 418 | 437 |
(10) Abdominal depth | 88 | 328 | 35 | 284 | 398 | 3.7 | 321 | 336 |
(11) Acromion–troch length | 88 | 860 | 66 | 767 | 980 | 7.1 | 846 | 874 |
(12) Bideltoid width | 88 | 644 | 44 | 568 | 722 | 4.7 | 635 | 653 |
(13) Bitrochanter length | 88 | 845 | 95 | 715 | 1015 | 10.2 | 824 | 865 |
(14) Buttock–shoe tip length | 88 | 700 | 69 | 566 | 786 | 7.3 | 685 | 715 |
(15) Elbow–wrist length | 88 | 279 | 17 | 252 | 309 | 1.8 | 276 | 283 |
(16) Eye height | 88 | 767 | 32 | 722 | 815 | 3.4 | 761 | 774 |
(17) Grip strength (kg) | 86 | 20.8 | 5.8 | 11.0 | 30.5 | 0.6 | 19.6 | 22.0 |
(18) Hip breadth | 88 | 577 | 46 | 513 | 658 | 4.9 | 567 | 587 |
(19) Shoulder–elbow length | 88 | 361 | 23 | 324 | 401 | 2.5 | 356 | 366 |
(20) Shoulder–grip length | 88 | 585 | 41 | 522 | 655 | 4.3 | 577 | 594 |
(21) Thigh clearance | 88 | 190 | 17 | 157 | 214 | 1.8 | 187 | 194 |
Dimension extracted (women; face and hand) | ||||||||
(01) Bigonion breadth | 87 | 108 | 8 | 98 | 125 | 0.9 | 107 | 110 |
(02) Biinfraorbitale breadth | 88 | 100 | 9 | 83 | 116 | 0.9 | 98 | 101 |
(03) Face breadth | 88 | 138 | 5 | 129 | 147 | 0.6 | 137 | 139 |
(04) Face length | 88 | 115 | 6 | 105 | 124 | 0.6 | 113 | 116 |
(05) Hand breadth | 88 | 87 | 4 | 81 | 94 | 0.4 | 87 | 88 |
(06) Hand length | 88 | 183 | 8 | 169 | 197 | 0.9 | 181 | 185 |
(07) Head breadth | 88 | 159 | 6 | 149 | 169 | 0.6 | 157 | 160 |
(08) Midtragion to head top length | 88 | 141 | 8 | 129 | 154 | 0.8 | 139 | 142 |
(09) Palm breadth | 88 | 85 | 4 | 79 | 92 | 0.4 | 84 | 86 |
(10) Palm length | 88 | 104 | 5 | 94 | 114 | 0.6 | 103 | 105 |
Note. 95% CI-L = lower 95% confidence interval of the mean; 95% CI-U = upper 95% confidence interval of the mean. Units are in mm except for weight and grip strength, which are in kg.
Appendix C
Formulas for Box–cox transformation in Study 2.
Transformed Variables (unit: mm, if not specified) | M | SD | Formula Used for Box–Cox Transformation |
---|---|---|---|
Men | |||
Abdominal breadth, sitting, in gear | 0.4848617 | 0.0000003 | ((Dataˆ(-2.062437))-1)/(-2.062437) |
Abdominal depth, sitting, in gear | 1.3906357 | 0.0016925 | ((Dataˆ(-0.707957))-1)/(-0.707957) |
Acromion–trochanter, sitting, in gear | 0.7794272 | 0.0000111 | ((Dataˆ(-1.282784))-1)/(-1.282784) |
Bideltoid breadth, sitting, no gear | 1.6489283 | 0.0020798 | ((Dataˆ(-0.592315))-1)/(-0.592315) |
Bigonion breadth | 0.7540405 | 0.0001435 | ((Dataˆ(-1.323995))-1)/(-1.323995) |
Bitroch curve length, sitting, in gear | 1.8310559 | 0.0030747 | ((Dataˆ(-0.531155))-1)/(-0.531155) |
Boot width, standing, in gear | 93188.926 | 9536.005 | ((Dataˆ(2.588937))-1)/(2.588937) |
Buttock–shoe tip length, sitting, in gear | 360576556.3 | 104802445 | ((Dataˆ(3.159800))-1)/(3.159800) |
Chest breadth, standing, no gear | 1.3742655 | 0.0011590 | ((Dataˆ(-0.716886))-1)/(-0.716886) |
Chest breadth, standing, in gear | 0.8084888 | 0.0000492 | ((Dataˆ(-1.236113))-1)/(-1.236113) |
Grip strength, sitting, no glove (kg) | 16.8732160 | 2.4886604 | ((Dataˆ(0.662322))-1)/(0.662322) |
Hand breadth | 318.3619209 | 19.753814 | ((Dataˆ(1.320401))-1)/(1.320401) |
Hand length | 2.4998851 | 0.0082036 | ((Dataˆ(-0.330130))-1)/(-0.330130) |
Head breadth | 0.3497346 | 0.0000000 | ((Dataˆ(-2.859310))-1)/(-2.859310) |
Neck circumference, sitting, no gear | 1.1811338 | 0.0004256 | ((Dataˆ(-0.841288))-1)/(-0.841288) |
Palm length | 2.3737864 | 0.0103613 | ((Dataˆ(-0.334929))-1)/(-0.334929) |
Palm width | 1859.571224 | 156.6453 | ((Dataˆ(1.774964))-1)/(1.774964) |
Under bust circumference, standing, no gear | 1.5779344 | 0.0011393 | ((Dataˆ(-0.625439))-1)/(-0.625439) |
Waist circumference, standing, no gear | 0.6760220 | 0.0000040 | ((Dataˆ(-1.479184))-1)/(-1.479184) |
Waist depth, standing, in gear | 1.2747222 | 0.0010332 | ((Dataˆ(-0.776673))-1)/(-0.776673) |
Weight in gear (kg) | 3.7397099 | 0.0909615 | ((Dataˆ(-0.096605))-1)/(-0.096605) |
Weight, standing, no gear (kg) | 3.4635301 | 0.0902505 | ((Dataˆ(-0.123348))-1)/(-0.123348) |
Women | |||
Abdominal breadth, sitting, in gear | 6.33231E-01 | 7.0321E-06 | ((Dataˆ(-1.579090))-1)/(-1.579090) |
Abdominal depth, sitting, in gear | 3.47796E-01 | 5.7303E-09 | ((Dataˆ(-2.875246))-1)/(-2.875246) |
Acromion height, sitting, no gear | 2.40890E+09 | 3.942E+08 | ((Dataˆ(3.591081))-1)/(3.591081) |
Acromion–trochanter, sitting, in gear | 3.98786E-01 | 3.2971E-09 | ((Dataˆ(-2.507608))-1)/(-2.507608) |
Bideltoid breadth, sitting, no gear | 3.02960E-01 | 1.1764E-10 | ((Dataˆ(-3.300767))-1)/(-3.300767) |
Bigonion breadth | 2.58649E-01 | 9.1814E-10 | ((Dataˆ(-3.866249))-1)/(-3.866249) |
Buttock–shoe tip length, sitting, in gear | 3.77731E+08 | 1.114E+08 | ((Dataˆ(3.186713))-1)/(3.186713) |
Calf circumference, standing, no gear | 7.43445E-01 | 2.7388E-05 | ((Dataˆ(-1.344623))-1)/(-1.344623) |
Chest breadth, standing, no gear | 2.86585E-01 | 1.6111E-10 | ((Dataˆ(-3.489367))-1)/(-3.489367) |
Chest circumference, standing, no gear | 4.44983E-01 | 1.8049E-08 | ((Dataˆ(-2.247275))-1)/(-2.247275) |
Chest depth, standing, no gear | 9.71663E-01 | 3.9042E-04 | ((Dataˆ(-1.025713))-1)/(-1.025713) |
Eye height, sitting, in gear | 1.23619E+11 | 2.008E+10 | ((Dataˆ(4.054254))-1)/(4.054254) |
Hand breadth | 3.13634E-01 | 3.0257E-08 | ((Dataˆ(-3.188423))-1)/(-3.188423) |
Hip breadth, sitting, in gear | 4.72079E-01 | 1.0775E-07 | ((Dataˆ(-2.118288))-1)/(-2.118288) |
Hip breadth, sitting, no gear | 7.34274E-01 | 2.3784E-05 | ((Dataˆ(-1.361526))-1)/(-1.361526) |
Hip circumference, standing, no gear | 3.11760E-01 | 1.5843E-11 | ((Dataˆ(-3.207598))-1)/(-3.207598) |
Neck circumference, sitting | 2.55696E-01 | 8.4634E-12 | ((Dataˆ(-3.910894))-1)/(-3.910894) |
Sitting height, no gear | 4.76213E+09 | 5.798E+08 | ((Dataˆ(3.473531))-1)/(3.473531) |
Under bust circumference, standing, no gear | 3.10175E-01 | 3.4041E-11 | ((Dataˆ(-3.223989))-1)/(-3.223989) |
Vert. trunk circumference, standing, no gear | 2.25575E-01 | 3.0608E-16 | ((Dataˆ(-4.433122))-1)/(-4.433122) |
Waist circumference, standing, no gear | 5.15775E-01 | 2.2062E-07 | ((Dataˆ(-1.938825))-1)/(-1.938825) |
Weight in gear (kg) | 7.77865E-01 | 5.4014E-04 | ((Dataˆ(-1.280921))-1)/(-1.280921) |
Weight, standing, no gear (kg) | 8.05475E-01 | 8.6446E-04 | ((Dataˆ(-1.234967))-1)/(-1.234967) |
Footnotes
Disclaimer: The findings and conclusions in this article are those of the authors and do not necessarily represent the views of the National Institute for Occupational Safety and Health (NIOSH). Mention of company names or products does not imply an endorsement from NIOSH.
Contributor Information
Hongwei Hsiao, National Institute for Occupational Safety and Health, Morgantown, West Virginia.
Jennifer Whitestone, Total Contact Inc., Germantown, Ohio.
Tsui-Ying Kau, University of Michigan, Ann Arbor, Michigan.
Richard Whisler, National Institute for Occupational Safety and Health, Morgantown, West Virginia.
J. Gordon Routley, International Association of Fire Chiefs, Fairfax, Virginia.
Michael Wilbur, Emergency Vehicle Response, Otisville, New York.
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