Skip to main content
PLOS ONE logoLink to PLOS ONE
. 2021 Dec 20;16(12):e0260808. doi: 10.1371/journal.pone.0260808

Cost-effectiveness of HPV vaccination in 195 countries: A meta-regression analysis

Katherine L Rosettie 1, Jonah N Joffe 1, Gianna W Sparks 1, Aleksandr Aravkin 1,2, Shirley Chen 1, Kelly Compton 1, Samuel B Ewald 1, Edwin B Mathew 1, Danielle Michael 1, Paola Pedroza Velandia 1, Molly B Miller-Petrie 1, Lauryn Stafford 1, Peng Zheng 3, Marcia R Weaver 1,3,4,5, Christopher J L Murray 1,3,4,5,*
Editor: Carlos Alberto Zúniga-González6
PMCID: PMC8687557  PMID: 34928971

Abstract

Cost-effectiveness analysis (CEA) is a well-known, but resource intensive, method for comparing the costs and health outcomes of health interventions. To build on available evidence, researchers are developing methods to transfer CEA across settings; previous methods do not use all available results nor quantify differences across settings. We conducted a meta-regression analysis of published CEAs of human papillomavirus (HPV) vaccination to quantify the effects of factors at the country, intervention, and method-level, and predict incremental cost-effectiveness ratios (ICERs) for HPV vaccination in 195 countries. We used 613 ICERs reported in 75 studies from the Tufts University’s Cost-Effectiveness Analysis (CEA) Registry and the Global Health CEA Registry, and extracted an additional 1,215 one-way sensitivity analyses. A five-stage, mixed-effects meta-regression framework was used to predict country-specific ICERs. The probability that HPV vaccination is cost-saving in each country was predicted using a logistic regression model. Covariates for both models included methods and intervention characteristics, and each country’s cervical cancer burden and gross domestic product per capita. ICERs are positively related to vaccine cost, and negatively related to cervical cancer burden. The mean predicted ICER for HPV vaccination is 2017 US$4,217 per DALY averted (95% uncertainty interval (UI): US$773–13,448) globally, and below US$800 per DALY averted in 64 countries. Predicted ICERs are lowest in Sub-Saharan Africa and South Asia, with a population-weighted mean ICER across 46 countries of US$706 per DALY averted (95% UI: $130–2,245), and across five countries of US$489 per DALY averted (95% UI: $90–1,557), respectively. Meta-regression analyses can be conducted on CEA, where one-way sensitivity analyses are used to quantify the effects of factors at the intervention and method-level. Building on all published results, our predictions support introducing and expanding HPV vaccination, especially in countries that are eligible for subsidized vaccines from GAVI, the Vaccine Alliance, and Pan American Health Organization.

Introduction

Cost-effectiveness analysis (CEA) is a well-known method for comparing the costs and health outcomes of individual products or services to a standard of care, often in the context of a clinical trial. Substantial resources are needed to conduct an analysis however, making it impractical to conduct a CEA for every intervention in every setting or health care system. To build on available evidence, researchers are developing methods to transfer CEA from one setting to another. Goeree et al. summarized the factors that researchers have proposed to assess whether or not the results of a specific CEA or other economic evaluation could be transferred [1]. Among the examples they surveyed in high-income countries, most CEA results could not be transferred. Kim et al proposed a framework and checklist for transferring results of a specific CEA to a low or middle-income country [2]. In their case study, the results from one of seven economic evaluations could be transferred. Although these approaches can guide the decision to accept or reject the results of a specific CEA, they do not use all available information nor quantify differences across settings by methods, intervention characteristics, and country setting.

We conducted a meta-regression analysis of CEAs of Human papillomavirus (HPV) vaccination to estimate the effect of factors at the methods, intervention, and country-level on the incremental cost-effectiveness ratios (ICERs). The cost-effectiveness of HPV vaccination is well-studied, with more published ICERs than any other health intervention. Despite the large number of studies, there is wide variation in the results, which makes it difficult for national decision-makers to interpret the cost-effectiveness of HPV vaccination in their setting. Another challenge in leveraging the existing CEA results for HPV vaccines is the scarcity of results in super-regions with the highest cervical cancer burden. While less than 10% of published articles on CEA of HPV vaccination report estimates for Sub-Saharan Africa, the cervical cancer burden in this region is more than twice the global average [3]. The majority of published articles report estimates for high-income settings, where vaccine coverage is high and cervical cancer burden is relatively low.

In this study, we use meta-regression methods familiar to clinical evidence synthesis, and apply them to the published literature on the cost-effectiveness of HPV vaccination. Our two objectives are to: 1) identify and quantify source of heterogeneity in published CEA, and 2) predict ICERs with uncertainty intervals for 195 countries, which reflect all available published results. The ICERs include the probability that the intervention is cost-saving, meaning it both saves money and averts DALYs relative to no vaccine.

Methods

Human papillomavirus (HPV) vaccines

HPV is the primary cause of cervical cancer. Cervical cancer is the fourth leading cause of cancer burden among women worldwide, resulting in over eight million disability-adjusted life years (DALYs) globally in 2017 [4]. Licensed HPV vaccines include first generation bivalent and quadrivalent vaccines and a second generation nonavalent vaccine. Since the licensure of quadrivalent Gardasil in 2006, HPV vaccines have been introduced in 110 countries [5]. Universal vaccination could prevent 70–90% of HPV-related disease [6], yet coverage remains low in many low- and middle-income countries (LMICs) [7]. As of 2014, more than one-third of females ages 10–20 years had received the HPV vaccine in high-income countries, compared to only 2.7% in LMICs [7].

The World Health Organization (WHO) Director-General made a global call to action for scaling up cervical cancer prevention efforts in 2018 [8]. Subsequently, the WHO global strategy to eliminate cervical cancer was endorsed by the Seventy-third World Health Assembly in resolution WHA73.2 [9]. One target is 90% coverage of a full HPV vaccine sequence for girls, in addition to targets for high coverage of cervical cancer screening and treatment [10]. To achieve this high level of vaccine coverage, the strategy underscores the importance of a sufficient supply of affordable HPV vaccines, introduction of HPV vaccination in countries that have not yet adopted the vaccine, and increased quality and coverage of vaccine delivery. Gavi, the Vaccine Alliance approved a plan in 2017 to accelerate introduction of HPV vaccines into national vaccine programs. They aim to support the delivery of 25 to 35 million doses of HPV vaccines annually beginning in 2021 [11]. Given the strong potential to eliminate cervical cancer with HPV vaccination coupled with cervical cancer screening and treatment, HPV vaccines are a global health priority.

Data sources

Our data are from the Tufts University Center for the Evaluation of Value and Risk in Health registries through 2017 (Tufts registries). The Cost-Effectiveness Analysis Registry [12] contained 7287 studies that measure cost per quality-adjusted life year (QALY) gained. The Global CEA Registry [13] contained 621 studies that measure cost per disability-adjusted-life-year (DALY) averted (Fig 1). Between these two registries, there were 23,479 cost-effectiveness results across a wide range of interventions. Details on how these registries were compiled, including search strategies, data collection, and article review are published elsewhere [14,15]. This study complies with the Guidelines for Accurate and Transparent Health Estimates Reporting statement [16] [S1 Table].

Fig 1. Flow diagram of study selection in logistic and meta-regression models.

Fig 1

Data extraction, standardization, and mapping

Given that the Tufts registries are not compiled with the intention of being used for meta-regression analyses, additional data extraction, standardization, and mapping was necessary [S1 and S2 Appendices]. Missing data were extracted from articles in the Tufts CEA registries, including the age and sex of the target population, comparator and intervention descriptions, discount rates for costs and health outcomes, study time horizon, health outcomes targeted by the intervention, and study locations. Each ICER was mapped to at least one age group, sex, location, and cause that matched the categories modeled in the Global Burden of Diseases, Injuries, and Risk Factors 2017 (GBD 2017) study [3]. The age, sex, location, and cause were used to pull the total burden targeted for each intervention in the Tufts registries from DALY estimates from GBD 2017. The location and year were used to pull the gross domestic product (GDP) per capita for each intervention from GBD 2017. Each ICER for HPV vaccination was also mapped to one or more delivery platforms that were adapted from Jamison et al [17]. Five characteristics that consistently differentiated HPV vaccination interventions across articles were: vaccine cost, vaccine coverage, vaccine type (e.g. bivalent, quadrivalent), target population with respect to sex, and whether or not a booster dose was included in the vaccination schedule. When this information was not available in the Tufts registries, these data were extracted from the articles. The study currency and currency-year were used to convert all ICERs to 2017 United States dollars (US$).

The Tufts registries include a categorical variable that describes the comparator intervention, including placebo, no intervention, standard of care, and an “other” category. We defined the null comparator as no intervention (n = 1436, 79% of final sample), standard of care (n = 374, 20%), or placebo (n = 18, less than 1%). An exception was studies where the standard of care was screening for HPV infection (n = 86, 4.7% of ratios in the final sample); we defined a variable, “screening comparator” to estimate the effect of this higher standard of care for cervical cancer prevention. For this study, all ICERs compared to the “other” category were re-calculated such that they were compared to the null to facilitate comparisons between ICERs. To do so, we used data in the Tufts registries on total or per person costs and total or per person health benefits in the intervention and comparator groups. For ratios without these data reported in the registries, the necessary numerator and denominator data were extracted to re-calculate the ICERs.

Inclusion/Exclusion criteria

Our analysis focused on HPV vaccine interventions delivered at the health center platform, as this was the most common delivery platform represented in the published estimates (98% of all HPV vaccine estimates in the Tufts registries). We excluded articles that did not clearly state the discount rates, time horizon, intervention, or comparator. We excluded ratios if they were not calculated at the country level or if the ICER could not be re-calculated relative to the null comparator. We also excluded ratios if their corresponding intervention characteristics (vaccine type, target population, coverage, cost, and booster) were either missing or represented a category for which we had insufficient data. Of the 109 ratios we excluded (6% of final sample), the two most common reasons for exclusion were vaccines that were not bivalent or quadrivalent (n = 23, 21%), and discounting not specified (n = 16, 15%).

After applying the exclusion criteria, our sample included 616 ICERs from 76 articles in 182 countries (Fig 1), which we refer to as main ratios [S2 Table]. From these 76 articles, we extracted 1,218 one-way sensitivity analyses for five covariates: vaccine cost, vaccine coverage, vaccine for females only or both sexes, cost discount rate, and discount rate for health outcomes. The one-way sensitivity analyses were matched to a reference ratio, which was often a main ratio, where the ICER of the one-way sensitivity analysis differed from the ICER of the reference ratio by the value of only one parameter. Three additional ratios from one article were excluded, because the vaccine cost was not specified.

With a total of 1,828 ICERs, 1,692 had positive incremental costs and health outcomes, and 136 were cost-saving. Table 1 summarizes characteristics of the published studies. The majority of the 75 articles (62.7%) reported ICERs for the High income super-region, while only 8.0% and 6.7% of articles reported ICERs for Sub-Saharan Africa and South Asia, respectively. When the sensitivity analyses were included, 23.5% ICERs in the final sample were for the High income super-region, 28.1% for Sub-Saharan Africa, and 4.3% of ICERs for South Asia.

Table 1. Descriptive statistics on sample of incremental cost-effectiveness ratios (ICERS) and articles reported in Tufts registries on human papillomavirus vaccines.

  ICERs reported in Tufts registries or “main ratios” (%) ICERs reported in Tufts registries plus sensitivity analyses extracted or “final sample” (%) Articles reported in Tufts registries* (%)
Sample size 613 1828 75
Study Characteristics
Super-region
    Central Europe, Eastern Europe, and Central Asia 59 (9.6) 114 (6.2) 8 (10.7)
    High income 135 (22.0) 430 (23.5) 47 (62.7)
    Latin America and Caribbean 77 (12.6) 245 (13.4) 13 (17.3)
    North Africa and the Middle East 49 (8.0) 184 (10.1) 7 (9.3)
    Southeast Asia, East Asia, and Oceania 99 (16.2) 262 (14.3) 14 (18.7)
    South Asia 21 (3.3) 79 (4.3) 5 (6.7)
    Sub-Saharan Africa 173 (28.2) 514 (28.1) 6 (8.0)
Year published
    2007 6 (1.1) 22 (1.2) 3 (4.0)
    2008 147 (23.0) 560 (30.6) 12 (15.8)
    2009 23 (3.6) 69 (3.8) 7 (9.2)
    2010 6 (0.9) 20 (1.1) 4 (5.3)
    2011 94 (15.4) 173 (9.5) 7 (9.2)
    2012 11 (1.7) 53 (2.9) 8 (10.5)
    2013 75 (11.9) 538 (29.4) 7 (9.2)
    2014 197 (31.8) 262 (14.3) 9 (11.8)
    2015 11 (1.7) 73 (4.0) 8 (10.5)
    2016 15 (2.8) 29 (1.6) 8 (11.8)
    2017 27 (4.6) 29 (1.6) 2 (2.6)
Methods covariates
Perspective
    Societal 11 (1.2) 16 (0.9) 2 (2.7)
    Limited Societal 138 (22.5) 1011 (55.3) 14 (18.7)
    Healthcare payer 464 (75.7) 801 (43.8) 59 (78.7)
Cost discount rate
    < 3% 0 (0.0) 85 (4.6) 0 (0.0)
    3% 564 (92.0) 1508 (82.5) 52 (69.3)
    > 3% 49 (8.0) 265 (14.5) 23 (30.7)
Health outcome discount rate
    < 3% 22 (3.6) 194 (10.6) 9 (12.0)
    3% 561 (91.5) 1464 (80.1) 49 (65.3)
    > 3% 30 (4.9) 170 (9.3) 17 (22.7)
Time Horizon
    Lifetime 587 (95.8) 1757 (96.2) 65 (86.7)
    Less than lifetime 26 (4.2) 71 (3.9) 10 (13.3)
Health outcome measure
    QALYs 133 (21.7) 1319 (72.2) 61 (81.3)
    DALYs 480 (78.3) 509 (27.8) 14 (18.7)
Comparator
    Null comparator 574 (93.6) 1742 (95.3) 58 (77.3)
    HPV screening 39 (6.4) 86 (4.7) 17 (22.7)
Assumption about proportion of population with access to cervical cancer treatment
    < 100% 373 (60.8) 857 (46.9) 69 (92.0)
    100% 240 (39.2) 971 (53.1) 6 (8.0)
Intervention covariates
Type of vaccine
    Quadrivalent 86 (15.5) 345 (18.9) 47 (63.2)
    Bivalent 527 (84.5) 1483 (81.1) 41 (54.0)
Sex
    Female only 518 (84.5) 1595 (87.3) 68 (90.1)
    Male & Female 95 (15.5) 233 (12.7) 14 (18.7)
Booster included in vaccination schedule
    Yes 33 (5.4) 84 (4.6) 17 (22.7)
    No 580 (94.6) 1744 (95.4) 71 (94.7)
Median (IQR) Median (IQR)
Vaccine coverage 70% (70, 100) 70% (70, 80)
Vaccine cost (2017 US$) 19.9 (2.6, 223.6) 26.5 (6.95, 180.41)

* denotes that the total number of articles may exceed 75, because some articles examined multiple regions, vaccine characteristics, and cost-effectiveness analyses characteristics.

ICER = Incremental cost-effectiveness ratio, DALY = disability-adjusted life year, QALY = quality-adjusted life-year.

Covariates

Three categories of covariates were used in the analysis: covariates that explain ICER variation across countries, covariates that explain ICER variation due to intervention characteristics, and covariates that explain bias in ICERs as a function of methods. Two covariates for true variation in ICERs across countries were: GDP per capita, and cervical cancer DALYs per person. GDP per capita measured the cost to the health-care system, among other things, including both the cost of the intervention and treatment costs saved when death or disability is averted. Five covariates explaining true ICER variation due to intervention characteristics were: vaccine cost measured as cost per dose multiplied by number of doses in full vaccine sequence, vaccine coverage, vaccine type (quadrivalent or bivalent), target sex (female or both males and females), vaccine coverage, and whether or not a booster dose was included in the vaccination schedule. Seven methods covariates were: perspective (health-care payer or societal/limited societal), cost discount rate, discount rate for health outcome, time horizon (lifetime or less than lifetime), outcome measure (DALYs averted or QALYs gained), comparator (screening or no intervention), and the proportion of model population with access to cervical cancer treatment (100% or less than 100%). DALYs and QALYs are not always comparable, because they are based on different methods [18,19].

Modeling approaches

Our statistical analysis can be divided into two components: predicting country-specific ICERs for HPV vaccination, and predicting the probability that HPV vaccination is cost-saving in each country. We combined both sets of results to predict adjusted ICER estimates that incorporated the cost-saving probabilities.

The statistical model and fitting procedures for the analysis of ICERs was conducted in five stages, and used a mixed-effects meta-regression framework (MR-BRT) [20]. This model included priors on all covariates and a study-specific random intercept. Each stage is described briefly below; for further information, see S3 Appendix.

In the first stage, we estimated priors for selected covariates by leveraging the fact that one-way sensitivity analyses differ in no unmeasured covariates from their reference analyses. Four covariates had a sufficient number of sensitivity analyses reported in published CEA to estimate priors using crosswalk models: vaccine cost, vaccine coverage, cost discount rate, and discount rate for health outcomes. We matched each sensitivity analysis with its corresponding reference analysis, and the crosswalk model estimated the difference in log-ICERs between sensitivity and reference analyses as a function of the difference between values of that covariate. We then constructed Gaussian priors for these covariates to use in all subsequent stages of the analysis with means and standard deviations equal to the crosswalk parameter estimates and standard errors from these crosswalk models.

In the second stage, we estimated a nonlinear response curve for log-GDP per capita by modeling the log-ICERs as a nonlinear function of log-GDP per capita. Log cervical cancer DALYs per capita was entered linearly into this model, in addition to the four covariates addressed in the first stage, and the priors calculated in the first stage were placed on the corresponding covariates. To make this stage more robust to model misspecification, we placed a spline ensemble on log GDP per capita. This model also used a robust statistical approach for outlier detection, and outliers trimmed at this stage were discarded from subsequent steps of the analysis. The nonlinear response curve estimated by this model was used to transform log-GDP per capita for use in subsequent stages of the analysis.

In the third stage, we selected additional covariates to include in the final meta-regression using a generalized Lasso approach for linear mixed effects models. The spline-transformed log-GDP per capita, log cervical cancer DALYs per capita, and the four crosswalk covariates, were pre-selected covariates at this stage, and the priors estimated for the crosswalk covariates were placed on those covariates. This process selected from eight additional candidate covariates: vaccine type, target sex, booster dose, perspective, time horizon, outcome measure, comparator, and the proportion of model population with access to cervical cancer treatment. Only one of these covariates, the booster dose, was not selected for inclusion in the final model.

In the fourth stage we selected the standard deviation of a Gaussian prior to apply to all regression parameters other than the intercept and the parameters for the four crosswalk covariates. To select a standard deviation, we fit a mixed effects meta-regression models with random intercepts by study, and priors on crosswalk covariates as calculated in the first stage. We normalized all other covariates and included Gaussian priors on those covariates, centered at zero and with a standard deviation that was constant across covariates. We varied this standard deviation using a grid-search and used 10-fold cross-validation to select the standard deviation that minimized the mean squared error for predicting values in the holdout set. We then converted the prior standard deviation back to the unstandardized scale for each covariate.

In the fifth stage, we fit a mixed effects model with a random intercept and priors on covariates determined in the first and fourth stages. This model included priors on covariates calculated in the first and fourth stages and the transformed version of log-GDP per capita, and random intercepts by study.

The probability that HPV vaccination was cost-saving was analyzed using a mixed effect logistic regression model. We sought to use the same covariates as the meta-regression model. The model included two country-level covariates, four intervention-level covariates, and four of seven method-level covariates: cost discount rate, discount rate for health outcomes, time horizon, and the proportion of model population with access to cervical cancer treatment. To account for between study heterogeneity, data were grouped by article, and a random intercept was calculated for each article [S4 Appendix].

The estimated meta-regression and logistic regression models were used to predict the ICER and probability that the vaccine was cost-saving, respectively, for each country as function of the two country-level covariates, and vaccine cost. The HPV vaccine does not have a single global market price. We used the cost of all required doses based on the 2017 cost per dose as reported to the WHO’s Market Information for Access to Vaccines (MI4A) [21] and aggregated by Linksbridge [22]. We used the United Nations Childrens’ Emergency Fund (UNICEF) price for the 57 Gavi-eligible countries [23], and Pan American Health Organization for 22 countries eligible for their Revolving Fund for supported countries and vaccines [S5 Appendix]. The three other intervention characteristics were held constant for our predictions: vaccine coverage of 70% (median across all studies), a bivalent vaccine, and target sex of females only. Our country predictions used a health sector payor perspective, 3% discount rate for costs and health outcomes, lifetime time horizon, DALYs averted as the health outcome measure, null comparator, and less than 100% access to cervical cancer treatment.

Adjusted ICER predictions were combined predictions from meta-regression and logistic regression models. The logistic regression provided the probability that HPV vaccines were cost-saving in each country. We subtracted each probability from one, and multiplied the resulting value by the mean predicted ICERs, lower bound of predicted ICERs (2.5th percentile), and upper bound of predicted ICERs (97.5th percentile) from the meta-regression analysis. This ensured that for countries with the highest probabilities of being cost-saving, ICERs were adjusted downwards (i.e. towards 0) more than for countries with lower cost-saving probabilities.

To place the results in the context of each country’s economy, we also report the ICERs as one-half, one, and three times GBD per capita. ICERs can contribute to a country-specific process for interpreting results and deciding whether or not to adopt the intervention [24,25]. In the absence of this process, one times GDP per capita, and three times GDP per capita are frequently cited thresholds for categorizing interventions are very cost-effective or cost-effective, respectively, in LMIC [26]. The opportunity cost of health-care expenditures is an alternative threshold, which corresponds to one-half times GDP per capita or less in the countries where it has been estimated [27,28]. To account for uncertainty, we compare the upper bound of the 95% uncertainty interval (UI) to these threshholds.

The meta-regression analysis was performed with an open source mixed effects package https://github.com/zhengp0/limetr [20]. ICERs for 195 countries with adjustments were predicted with Python version 3.0 (Python Software Foundation, available at http://www.python.org). The logistic regression analysis was performed using the open source software lme4 in R version 4.0.5 (Comprehensive R Archive Network, available at https://cran.r-project.org/bin/windows/base/). The maps are original content that was created with open source software ggplot2 in R package 4.0.5, and map boundaries from DAGM (Database of Global Administrative Areas, available at https://gadm.org/data.html).

Results

Beginning with the meta-regression results, we focus on three independent variables that explain true variation across ICERs: vaccine cost, burden of cervical cancer, and GDP per capita (Fig 2). The effects of vaccine cost, and cervical cancer burden on the ICER are in the expected direction; higher cost increases the incremental cost and leads to a higher ICER, and higher burden increases the incremental health improvements and leads to a lower ICER. The effect of GDP per capita has a slight U-shape, decreasing as health systems improve and the savings in treatment costs increase, and then increasing as the higher cost of vaccine administration exceeds the treatment saving. As explained above, four additional covariates at the intervention-level, and six at the method-level were selected for inclusion in the final model, even though the standard errors were large relative to the coefficients of some covariates (S3 Appendix). As expected, the ICER is negatively associated with the quadrivalent relative to the bivalent vaccine, after controlling for vaccine cost, and is positively associated with targeting the vaccine to both sexes relative to females only. The ICER increases with the discount rates. Some between-study heterogeneity is unexplained, which leads to wide UI in the estimated ICER. The ratio of upper bound divided by the lower bound of the 95% UI is between 16.8 and 17.7 in all countries (Table 2).

Fig 2.

Fig 2

Model fit for three independent variables that explain true variation across ICERs: (A) vaccine cost, (B) cervical cancer burden, and (C) GDP per capita. Results for vaccine cost (A) are reported by GDP per capita quartile, and results for burden of cervical cancer (B) and GDP per capita (C) are reported by vaccine cost quartile, after controlling for all other method and intervention-level characteristic model covariates. The X- and Y-axes are in log-space. The grey band indicates the total uncertainty (fixed and random effects) for the mean/median burden value for GDP per capita in (A) and of vaccine cost in (B) and (C). ICER = incremental cost-effectiveness ratio; DALY = disability-adjusted-life-year; GDP = gross domestic product per capita in 2017 US$.

Table 2. Predicted cost-effectiveness ratios by country adjusted for cost-saving probabilities.

Country Predicted ICER adjusted for cost-saving probabilities (2017 US$ per DALY Averted) Cervical cancer DALYs per 100 000 women ages 15+ years Tufts registry dataset plus sensitivity analyses extracted
Number of ratios Minimum ICER (2017 US$ per DALY or QALY) Maximum ICER (2017 US$ per DALY or QALY)
Central Europe Eastern Europe and Central Asia      
    Albania 6543 (1201 to 20,723) 147 1 4682 4682
    Armenia 4691 (865 to 15,020) 342 9 33 1463
    Azerbaijan 5557 (1021 to 17,723) 231 9 64 852
    Belarus 5037 (927 to 16,110) 294 1 1476 1476
    Bosnia and Herzegovina 4964 (914 to 15,878) 301 1 3052 3052
    Bulgaria 4346 (801 to 13,916) 443 1 879 879
    Croatia 8101 (1486 to 25,868) 203 1 17,381 17,381
    Czech Republic 7539 (1382 to 24,138) 261 1 16,872 16,872
    Estonia 7603 (1394 to 24,363) 248 10 1964 16,323
    Georgia 4212 (778 to 13,487) 452 9 38 1327
    Hungary 7292 (1339 to 23,377) 269 4 9,971 50,565
    `Kazakhstan 5004 (920 to 16,053) 326 1 653 653
    Kyrgyzstan 464 (85 to 1482) 326 9 26 1059
    Latvia 7867 (1443 to 25,152) 220 1 1111 1111
    Lithuania 6882 (1264 to 22,038) 314 1 853 853
    Macedonia 5188 (955 to 16,565) 268 1 1751 1751
    Moldova 4712 (869 to 15,066) 329 6 52 470
    Mongolia 4457 (822 to 14,296) 391 9 53 497
    Montenegro 5286 (972 to 16,892) 265 1 1229 1229
    Poland 6802 (1250 to 21,808) 317 1 10,655 10,655
    Romania 3860 (712 to 12,254) 618 1 684 684
    Russian Federation 5551 (1019 to 17,766) 254 1 931 931
    Serbia 4209 (777 to 13,501) 464 1 979 979
    Slovakia 7044 (1293 to 22,529) 303 1 10,759 10,759
    Slovenia 9047 (1654 to 28,874) 167 8 2105 34,443
    Tajikistan 706 (129 to 2224) 113 9 82 593
    Turkmenistan 4608 (849 to 14,797) 378 1 1874 1874
    Ukraine 5183 (954 to 16,525) 260 6 25 484
    Uzbekistan 491 (90 to 1565) 279 9 54 668
High income        
    Andorra 11,056 (2013 to 35,186) 111 0 NA NA
    Argentina 5607 (1036 to 17,859) 504 19 cost-saving 14,008
    Australia 11,493 (2089 to 36,622) 108 1 28,254 28,254
    Austria 10,244 (1867 to 32,699) 137 6 3195 29,170
    Belgium 10,488 (1911 to 33,440) 128 5 5555 59,737
    Brunei 6655 (1220 to 21,001) 391 1 9,294 9294
    Canada 10,150 (1849 to 32,426) 142 40 3233 62,190
    Chile 6750 (1240 to 21,595) 330 9 cost-saving 21,697
    Cyprus 11,040 (2013 to 35,018) 102 1 44,310 44,310
    Denmark 9968 (1816 to 31,808) 152 8 2441 26,064
    Finland 12,271 (2231 to 38,925) 86 1 48,069 48,069
    France 10,243 (1867 to 32,669) 134 5 2588 45,703
    Germany 9789 (1785 to 31,284) 152 20 cost-saving 73,307
    Greece 9200 (1682 to 29,326) 157 1 25,733 25,733
    Greenland 6747 (1236 to 21,231) 395 0 NA NA
    Iceland 12,260 (2229 to 38,896) 86 2 24,078 331,568
    Ireland 10,366 (1886 to 33,028) 143 27 3252 51,127
    Israel 11,267 (2052 to 35,787) 102 1 28,620 28,620
    Italy 10,721 (1954 to 34,099) 115 2 14,438 32,464
    Japan 9803 (1787 to 31,338) 154 28 76 66,255
    Luxembourg 12,115 (2197 to 38,663) 103 1 29,055 29,055
    Malta 11,010 (2007 to 34,933) 103 1 174,461 174,461
    Netherlands 11,091 (2018 to 35,525) 113 102 1597 66,507
    New Zealand 11,100 (2021 to 35,297) 108 38 537 137,554
    Norway 11,482 (2085 to 36,6679) 113 42 cost-saving 155,552
    Portugal 8848 (1619 to 28,240) 174 1 14,888 14,888
    Singapore 12,196 (2216 to 38,780) 91 5 3450 22,794
    South Korea 10,405 (1899 to 33,070) 119 1 36,987 36,987
    Spain 10,434 (1903 to 33,193) 121 2 cost-saving 26,070
    Sweden 10,700 (1947 to 34,152) 127 1 27,843 27,843
    Switzerland 12,141 (2203 to 38,851) 98 8 8147 108,426
    United Kingdom 9953 (1815 to 31,773) 144 17 4994 73,289
    Uruguay 5718 (1054 to 18,172) 496 5 189 7399
    USA 27,600 (5041 to 88,339) 153 29 1229 123,817
Latin America and Caribbean        
    Antigua and Barbuda 6220 (1145 to 19,878) 394 0 NA NA
    Barbados 5382 (993 to 17,045) 583 5 cost-saving 8513
    Belize 791 (146 to 2514) 579 6 7 3013
    Bermuda 9904 (1803 to 31,583) 163 0 NA NA
    Bolivia 748 (138 to 2375) 654 10 72 6116
    Brazil 1010 (185 to 3212) 350 44 cost-saving 14,618
    Colombia 1028 (189 to 3290) 316 21 21 77,007
    Costa Rica 1084 (199 to 3465) 286 5 50 5254
    Cuba 928 (171 to 2962) 401 10 41 5030
    Dominica 752 (139 to 2376) 685 0 NA NA
    Dominican Republic 923 (170 to 2941) 412 5 121 4637
    Ecuador 899 (165 to 2871) 427 5 177 4574
    El Salvador 816 (150 to 2599) 531 5 47 2769
    Grenada 783 (144 to 2470) 639 1 1783 1783
    Guatemala 857 (158 to 2738) 465 5 198 5299
    Guyana 725 (134 to 2295) 721 10 cost-saving 3477
    Haiti 313 (58 to 981) 923 10 6 1199
    Honduras 1335 (244 to 4219) 150 11 54 4112
    Jamaica 792 (146 to 2514) 584 5 221 5539
    Mexico 1026 (188 to 3270) 330 23 11 11,627
    Nicaragua 406 (75 to 1294) 453 10 cost-saving 1704
    Panama 6053 (1116 to 19,363) 413 5 79 4139
    Paraguay 762 (141 to 2418) 638 5 10 1829
    Peru 913 (168 to 2913) 417 19 18 11,906
    Puerto Rico 8344 (1527 to 26,712) 207 0 NA NA
    Saint Lucia 798 (147 to 2522) 603 1 1703 1703
    Saint Vincent and the Grenadines 671 (124 to 2108) 911 1 1810 1810
    Suriname 760 (140 to 2403) 667 5 134 4743
    The Bahamas 5777 (1062 to 18,219) 526 5 247 13,617
    Trinidad and Tobago 5819 (1072 to 18,471) 485 5 91 6684
    Venezuela 820 (151 to 2600) 553 8 cost-saving 532
    Virgin Islands 6339 (1164 to 20,035) 426 0 NA NA
North Africa and Middle East        
    Afghanistan 503 (92 to 1606) 279 16 107 9160
    Algeria 6369 (1169 to 20,202) 160 8 cost-saving 5111
    Bahrain 13,391 (2436 to 42,171) 61 8 cost-saving 95,797
    Egypt 10,057 (1854 to 31,337) 48 8 317 26,238
    Iran 9222 (1683 to 28,936) 66 12 264 30,513
    Iraq 10,822 (1982 to 33,711) 43 8 253 21,350
    Jordan 10,438 (1921 to 32,502) 44 8 273 26,860
    Kuwait 17,504 (3169 to 55,442) 33 8 cost-saving 24,990
    Lebanon 4196 (1246 to 15,793) 82 8 212 28,506
    Libya 6466 (1186 to 20,501) 155 8 58 19,631
    Morocco 5317 (979 to 16,942) 245 8 cost-saving 5214
    Oman 12,329 (2247 to 38,867) 72 8 cost-saving 29,319
    Palestine 9632 (1773 to 30,034) 54 0 NA NA
    Qatar 16,070 (2907 to 51,447) 47 8 cost-saving 617,462
    Saudi Arabia 15,911 (2888 to 49,937) 39 8 279 68,586
    Sudan 801 (146 to 2509) 81 12 142 6001
    Syria 954 (174 to 2972) 52 8 299 25,081
    Tunisia 7982 (1461 to 25,110) 89 8 37 8577
    Turkey 9122 (1663 to 28,721) 73 8 99 18,827
    United Arab Emirates 11,291 (2055 to 35,898) 105 8 cost-saving 103,848
    Yemen 733 (134 to 2311) 110 16 183 44,035
South Asia        
    Bangladesh 538 (98 to 1708) 226 20 5 6238
    Bhutan 5877 (1080 to 18,661) 189 9 19 1099
    India 471 (86 to 1502) 311 25 cost-saving 6176
    Nepal 500 (92 to 1595) 279 9 26 346
    Pakistan 619 (113 to 1957) 157 16 cost-saving 2142
Southeast Asia East Asia and Oceania        
    American Samoa 5256 (966 to 16,817) 276 0 NA NA
    Cambodia 422 (77 to 1345) 418 9 55 1788
    China 5614 (1032 to 17,908) 228 19 296 154,065
    Federated States Of Micronesia 3867 (716 to 12,300) 547 1 16,578 16,578
    Fiji 3343 (620 to 10,620) 815 1 570 570
    Guam 7725 (1415 to 24,619) 260 0 NA NA
    Indonesia 4796 (884 to 15,347) 324 20 25 23,563
    Kiribati 2477 (462 to 7746) 1688 5 350 1973
    Laos 439 (81 to 1401) 371 12 216 2074
    Malaysia 5534 (1016 to 17,700) 250 2 cost-saving 2767
    Maldives 7224 (1322 to 22,868) 123 1 3195 3195
    Marshall Islands 3404 (632 to 10,786) 762 0 NA NA
    Mauritius 5671 (1041 to 18,115) 233 7 cost-saving 4439
    Myanmar 380 (70 to 1208) 534 9 46 1196
    North Korea 445 (82 to 1422) 367 9 125 1122
        Northern Mariana Islands 6114 (1125 to 19,442) 430 0 NA NA
    Papua New Guinea 315 (58 to 992) 858 6 23 432
    Philippines 4986 (919 to 15,918) 287 1 1746 1746
    Samoa 4493 (829 to 14,399) 380 1 4216 4216
    Seychelles 4837 (895 to 15,280) 744 6 cost-saving 5425
    Solomon Islands 347 (64 to 1097) 674 6 33 382
    Sri Lanka 6840 (1255 to 21,621) 130 9 99 1998
    Taiwan (Province Of China) 8727 (1597 to 27,873) 181 7 1975 41,631
    Thailand 4969 (915 to 15.902) 396 33 62 40,110
    Timor-Leste 4798 (885 to 15,339) 317 9 173 1887
    Tonga 3795 (702 to 12,105) 589 1 3469 3469
    Vanuatu 3582 (664 to 11,364) 666 1 1865 1865
    Vietnam 4866 (897 to 15,543) 303 87 cost-saving 21,134
Sub-Saharan Africa        
    Angola 3593 (666 to 11,433) 675 12 cost-saving 1973
    Benin 386 (71 to 1222) 537 12 cost-saving 1480
    Botswana 4051 (748 to 12,928) 529 7 cost-saving 3329
    Burkina Faso 355 (65 to 1117) 675 12 cost-saving 1973
    Burundi 379 (69 to 1183) 688 12 cost-saving 1233
    Cameroon 386 (71 to 1225) 519 12 cost-saving 2589
    Cape Verde 4629 (854 to 14,819) 349 7 cost-saving 1726
    Central African Republic 303 (56 to 938) 1118 12 123 3946
    Chad 360 (66 to 1136) 638 12 123 3452
    Comoros 313 (58 to 983) 896 12 cost-saving 986
    Congo (Brazzaville) 296 (55 to 929) 1002 12 cost-saving 636
    Cote D’Ivoire 504 (92 to 1604) 262 12 cost-saving 2343
    Djibouti 334 (62 to 1054) 743 12 cost-saving 4439
    Dr Congo 347 (64 to 1086) 759 12 81 1860
    Equatorial Guinea 4409 (811 to 14,029) 459 7 cost-saving 11308
    Eritrea 305 (56 to 951) 1014 12 cost-saving 4562
    Ethiopia 432 (79 to 1371) 420 12 30 3576
    Gabon 4099 (756 to 13,061) 526 7 cost-saving 2096
    Ghana 380 (70 to 1205) 536 12 cost-saving 1356
    Guinea 314 (58 to 982) 927 12 cost-saving 2084
    Guinea-Bissau 341 (63 to 1071) 751 12 cost-saving 1850
    Kenya 448 (82 to 1431) 360 12 cost-saving 2836
    Lesotho 307 (57 to 966) 918 12 cost-saving 2836
    Liberia 396 (73 to 1249) 532 12 cost-saving 1480
    Madagascar 342 (63 to 1069) 779 12 cost-saving 2096
    Malawi 371 (68 to 1167) 627 12 cost-saving 1233
    Mali 430 (79 to 1369) 406 12 cost-saving 1480
    Mauritania 384 (71 to 1219) 524 12 cost-saving 1480
    Mozambique 340 (63 to 1066) 770 12 cost-saving 1184
    Namibia 4350 (803 to 13,980) 426 7 cost-saving 5055
    Niger 379 (70 to 1190) 612 12 123 3822
    Nigeria 421 (77 to 1345) 412 20 cost-saving 17764
    Rwanda 372 (68 to 1177) 589 12 cost-saving 1603
    Sao Tome and Principe 342 (63 to 1079) 708 12 cost-saving 2219
    Senegal 365 (67 to 1155) 604 12 cost-saving 1603
    Sierra Leone 375 (69 to 1179) 614 12 cost-saving 1726
    Somalia 344 (63 to 1085) 1028 12 62 3329
    South Africa 3787 (700 to 12,059) 622 8 cost-saving 7326
    South Sudan 321 (59 to 1009) 830 0 NA NA
    Swaziland 3606 (668 to 11,471) 666 7 cost-saving 1973
    Tanzania 370 (68 to 1171) 592 12 cost-saving 1233
    The Gambia 437 (80 to 1383) 414 12 cost-saving 1480
    Togo 382 (70 to 1205) 569 12 cost-saving 1973
    Uganda 414 (76 to 1312) 460 12 cost-saving 1356
    Zambia 350 (65 to 1107) 660 12 cost-saving 1603
    Zimbabwe 331 (61 to 1043) 784 12 cost-saving 1110

Predictions for each country were based on GDP per capita, cervical cancer DALYs per capita, and vaccine cost. All country predictions used vaccine coverage of 70% (median across all studies), a bivalent vaccine, target sex of females only, health sector payor perspective, 3% discount rate for costs and health outcomes, lifetime time horizon, DALYs averted as the health outcome measure, null comparator, and less than 100% access to cervical cancer treatment. ICER = incremental cost-effectiveness ratio; DALY = disability-adjusted-life-year; GDP = gross domestic product per capita in 2017 US$.

The mean probability that HPV vaccination is cost-saving from the logistic regression analysis is less than 0.1%. Congo (Brazzaville) has the highest mean probability (0.4%), and Egypt has the lowest, which is effectively zero. The predicted mean probabilities are lower than the final sample of published CEA, because the predictions use market prices of the vaccine, which is higher than the mean vaccine cost of the final sample. Also, the predictions assume a health care payer perspective rather than societal. [S4 Appendix].

Globally, the adjusted mean predicted ICER is 2017 US$4217 per DALY averted (95% UI): US$773–13,448). The lowest adjusted mean ICERs are in Congo (Brazzaville) (2017 US$296 per DALY averted; 95% UI: $55–929), Central African Republic ($303 per DALY averted; 95% UI: $56–938), Eritrea ($305 per DALY averted; 95% UI: $56–951), and Lesotho ($307 per DALY averted; 95% UI: $57–966). (Table 2) These four countries are in the top 4% of cervical cancer burden rates globally. The highest adjusted mean ICERs are in the USA (2017 US$27,600 per DALY averted; 95% UI: $5,041–88,339), Kuwait (US$17,504 per DALY averted; 95% UI: $3,169–55,442), Qatar (US$16,070 per DALY averted; 95% UI: $2,907–51,447), and Saudi Arabia (US$15,911 per DALY averted; 95% UI: $2,888–49,937). These four countries, all are in the bottom 25% of cervical cancer burden rates globally.

The adjusted mean ICER is less than 2017 US$400 per DALY averted for 35 countries and it is between 2017 US$400 and $800 for another 29 countries. Among these 64 countries, 38 (59%) are in Sub-Saharan Africa super-region, and 12 (19%) are in Latin America and Caribbean (Fig 3A). Fifty-five of 64 (85%) are Gavi-eligible. Among the 38 countries with a mean ICER greater than $9,950 per DALY averted, 27 (71%) are in the High income super-region, and 10 (26%) are in North Africa and Middle East.

Fig 3.

Fig 3

(A) Predicted ICERs from the meta-regression analysis by country in 2017 US$ per DALY averted, and (B) predicted ICERs relative to four categories of GDP per capita: <0.5, 0.5 to 0.9, 1.0 to 3.0, and >3.0 times GDP per capita. Results for (B) incorporate the ICER uncertainty intervals such that the upper bound of the uncertainty interval (97.5th percentile) must be within the categories. UI = uncertainty interval; ICER = incremental cost-effectiveness ratio; DALY = disability-adjusted-life-year; GDP = gross domestic product per capita in 2017 US$.

Viewing the results in the context of each country’s economy, and accounting for uncertainty, the upper bound of the 95% UI for the adjusted ICER is below one-half times GDP per capita for 28 countries (Fig 3B). Eighteen of 28 (64%) countries are in the Latin America and Caribbean super-region, and seven (25%) are in High income. Three of 28 countries are Gavi-eligible: Congo (Brazaville), Papau New Guinea, and Nigera. The upper bound is below one times GDP per capita for an additional 52 countries, including 18 (35%) in the High income super-region, 12 (23%) in Sub-Saharan Africa, 10 (19%) in Latin America and the Caribbean, and six (12%) in Southeast Asia, East Asia, and Oceania. Eighteen of 52 countries are Gavi-eligible. The upper bound is above three times GDP per capita for 26 countries, including 10 (38%) in the North Africa and Middle East super-region, and eight (31%) in Southeast Asia, East Asia, and Oceania. Three of 26 countries are Gavi-eligible: Burundi, Somalia, and Yemen.

At the GBD super-region level, adjusted mean ICERs are lowest for South Asia and Sub-Saharan Africa, with a population-weighted, adjusted mean ICERs across five countries of $489 per DALY averted (95% UI: $90–1557) and across 46 countries of US$706 per DALY averted (95% UI: $130–2,245) (Table 3), respectively. Adjusted mean ICERs are highest in High income, and North Africa and Middle East, with a population-weighted, adjusted mean ICERs across 34 countries of US$14,667 per DALY averted (95% UI: US$2,677–46,917), and across 21 countries of US$6,928 per DALY averted; 95% UI: $1,266–21,841), respectively.

Table 3. Predicted incremental cost-effectiveness ratios aggregated to super-region level and compared to range of input data from Tufts registry dataset and additional extractions.

Super-region Predicted ICER adjusted for cost-saving probabilities (2017 US$ per DALY Averted) Tufts registry dataset plus sensitivity analyses extracted
Minimum ICER (2017 US$ per DALY or QALY) Minimum ICER location Maximum ICER (2017 US$ per DALY or QALY) Maximum ICER location in Tufts data
Central Europe, Eastern Europe, and Central Asia 5,023 (923 to 16,095) 25 Ukraine 50,565 Hungary
High Income 14,667 (2,677 to 46,917) cost-saving Argentina, Chile, Germany, Norway, Spain 331,568 Iceland
Latin America and Caribbean 1,031 (189 to 3,280) cost-saving Barbados, Brazil, Guyana, Nicaragua, Venezuela 77,007 Colombia
North Africa and Middle East 6,928 (1,266 to 21,841) cost-saving Algeria, Bahrain, Kuwait, Morocco, Oman, Qatar, United Arab Emirates 617,462 Qatar
South Asia 489 (90 to 1,557) cost-saving India, Pakistan 6,238 Bangladesh
Southeast Asia, East Asia, and Oceania 5,097 (937 to 16,281) cost-saving Mauritius, Seychelles, Vietnam 78,478 China
Sub-Saharan Africa 706 (130 to 2,245) cost-saving Angola, Benin, Botswana, Burkina Faso, Burundi, Cameroon, Cape Verde, Comoros, Congo, Cote D’Ivoire, Djibouti, Equatorial Guinea, Eritrea, Gabon, Ghana, Guinea, Guinea-Bissau, Kenya, Lesotho, Liberia, Madagascar, Malawi, Mali, Mauritania, Mauritius, Mozambique, Nambia, Nigeria, Rwanda, Sao Tome and Principe, Senegal, Seychelles, Sierra Leone, South Africa, Swaziland, Tanzania, The Gambia, Togo, Uganda, Zambia, Zimbabwe 13,560 Nigeria

Super-region predictions are the population-weighted average of the adjusted mean ICER for the countries in it. Predictions for each country were based on GDP per capita, cervical cancer DALYs per capita, and vaccine cost. All country predictions used vaccine coverage of 70% (median across all studies), a bivalent vaccine, target sex of females only, health sector payor perspective, 3% discount rate for costs and health outcomes, lifetime time horizon, DALYs averted as the health outcome measure, null comparator, and less than 100% access to cervical cancer treatment. ICER = incremental cost-effectiveness ratio; DALY = disability-adjusted-life-year; GDP = gross domestic product per capita in 2017 US$.

Discussion

To our knowledge, this is the first meta-regression analysis of published CEAs, which uses the HPV vaccine as an example for transferring CEA results across settings. We built on published CEA in the Tufts registries, then extracted and exploited their one-way sensitivity analyses to estimate the effects of four covariates on the ICER. The final model estimates included GDP per capita, and burden of disease at the country-level, four intervention-level covariates, and six methods-level covariates. Vaccine cost is subject to change with policy decisions in the public and private sector, and the meta-regression estimates support straightforward predictions with alternative vaccine costs by location.

Meta-regression analyses are well-known for clinical evidence synthesis, and less well-known for economics research. Decision-makers have reasons to distrust results from a single study, and be concerned about the replicability of published research. Ioannides has argued that false positive findings are more likely to occur in research with specific characteristics [29], and empirical economics research has many of these characteristics [30]. Neumann et al. identified at least one of these characteristics in the CEA literature on pharmaceutical interventions; findings were more likely to be favorable when research was sponsored by a pharmaceutical or device manufacturer [31]. Meta-regression analyses of CEA may ultimately enhance the credibility of CEA research, as well as support transferring results across settings.

Our findings show that the adjusted mean ICER for HPV vaccination is 2017 US$4,217 per DALY averted (95% UI: US$773–13,448) globally, and below US$800 per DALY averted for 64 countries. Our results provide evidence for introducing and expanding HPV vaccination, albeit with substantial uncertainty for some countries. To meet the vaccine target for the WHO Strategy for Cervical Cancer Elimination, progress is needed in incorporating HPV vaccines into national vaccination schedules. Gavi, the Vaccine Alliance subsidizes the vaccine cost to eligible countries, but many of them have not introduced HPV vaccination. The adjusted mean ICER is less than US$800 per DALY averted in 55 of 57 Gavi-eligible countries, but only 30 (55%) are currently receiving HPV vaccine support. Accounting for uncertainty, when the upper bound of the 95% UI is less than one times GDP per capita, we can be reasonably sure that the HPV vaccine is of good value within the context of a country’s economy. Eleven (52%) Gavi-eligible countries are not receiving HPV vaccine support among 21 where the upper bound is less than one times GDP per capita: Congo (Brazzaville), Comoros, Djibouti, India, Lesotho, Myanmar, Nicaraqua, Nigeria, Papua New Guinea, South Sudan, and Sudan. Nineteen (42%) are not receiving support among 33 where the upper bound is between one and three times GDP per capita.

Recent HPV vaccine supply chain shortages are a major barrier to increasing vaccine introduction in Gavi-eligible countries. These shortages led to a 65% reduction in Gavi, the Vaccine Alliance’s HPV vaccination target of vaccinating 40 million girls by 2020 [32]. Based on forecasts of global demand for HPV vaccines through 2030, current supply under the base case scenario is insufficient to meet demand through 2024 [33]. This is leading countries to postpone the introduction of HPV vaccination, and threatens progress towards achieving the targets outlined in the WHO’s cervical cancer elimination initiative. Notable increases in product development and improvements in supply allocation will be critical in ensuring HPV vaccine access and coverage increase in high-burden settings where HPV vaccine introduction is lagging.

Despite there being more published cost-effectiveness estimates for HPV vaccines than any other health intervention, the results of most countries with more than one estimate are heterogeneous. Our meta-regression analysis helps to overcome this challenge by producing a set of standardized ICERs for HPV vaccines in 195 countries after controlling for variation due to each country’s epidemiological and economic context, intervention characteristics, and study methods. The between-study heterogeneity drives the uncertainty in our estimates and is due to the lack of standardization across study methods, data sources, and model assumptions. In particular, we found considerable heterogeneity in medical cost-savings and indirect costs (also known as productivity costs). For example, we discovered divergent assumptions about access to care, that has not been addressed in cost-effectiveness recommendations [34]. In LMICs where little is known about access to screening and treatment for cervical cancer, and consequently the treatment cost saved by preventive interventions, modelers who assume 100% access to treatment for stage four cervical cancer likely over-state the potential savings.

Our analysis is limited in that we were unable to capture all of the method and intervention-level differences between articles in our models. To better understand additional factors in ICER variation, we would need more detailed reporting and data extraction. Specifically, we found that many articles did not report the exact parameters or data sources they were using for access to cancer treatment in their models, making it challenging for us to accurately capture these differences. We also recommend extracting data in the future on whether the models were static or dynamic, and whether or not the models included catch-up campaigns.

Another limitation is that we were unable to include cost-saving ratios in the meta-regression model. The magnitude of the numeric value of cost-saving ratios can not be consistently interpreted. As decision-makers strive to minimize the incremental cost and maximize the incremental health outcomes, the numerator and denominator, respectively, both drive the ICER in opposite directions. As such, we can only derive meaningful relationships between covariates and ICERs with positive incremental costs and positive incremental health outcomes. We treated cost-savings as a binary outcome in our logistic regression model. We did not propagate the correlation structure between this logistic regression model and the main meta-regression. This limitation is unlikely to change our results, because of the low probability that the HPV vaccine is cost-saving. We considered modeling the incremental costs and incremental health outcomes jointly instead of modeling their ratio, and we decided against this approach for two reasons. First, only 274 of 638 (43%) registry entries report numerator and denominator. Second, in an initial comparison of the two approaches with the same sample size, the model fit was worse for the numerator and denominator approach than the ICER approach. If analysts consistently report the incremental costs and incremental health outcomes, and they are extracted into the registries, further comparisons of the approaches are warranted.

We also had to impute the uncertainty for published ICERs. Rather than reporting uncertainty intervals, most CEA studies report the sensitivity of their analyses to various input parameters. Given that ICERs are associated with uncertainty due to measurement error in input parameters, and variation due to methodological choices such as discount rates, time horizon, reporting ICER uncertainty is crucial in allowing these sources of uncertainty to be disentangled in our meta-regression analysis.

Finally, our analysis included ICERs that captured intervention effects on cervical cancer burden alone, as this was the most common health outcome in the published CEA on HPV vaccines. The vaccines have beneficial effects on a wide range of health outcomes, such as anogenital warts, and oropharyngeal, anal, and vicinal cancers. Predicting ICERs that capture all of these health outcomes would provide a more complete picture of the costs and health outcomes associated with HPV vaccines.

Conclusions

This is the first attempt to generate a complete and consistent set of ICERs for HPV vaccines with UI for 195 countries. Meta-regression analysis can be conducted on CEA, where the one-way sensitivity analyses are used to quantify the effects of factors at the intervention and method-level. There is substantial uncertainty in the predicted ICERs in some countries, due to underlying heterogeneity of published CEA. Our results however, identified countries where the HPV vaccine is a good value, despite the uncertainty, and can facilitate decision-making across a wide range of settings.

Globally, introducing the HPV vaccine and achieving high HPV vaccine coverage are critical steps to eliminating cervical cancer burden. Building on all available information, our results support introducing and expanding HPV vaccination, especially in many countries that are eligible for subsidized vaccines from Gavi, the Vaccine Alliance, and the Pan American Health Organization. Vaccine cost is a key covariate, and our estimated models can be readily predictions ICERs and UI whenever vaccine subsidies are extended to additional countries or the vaccine price changes.

Supporting information

S1 Table. GATHER compliance checklist.

(DOCX)

S2 Table. Selected characteristics of cost-effectiveness articles on human papillomavirus vaccines included in the analysis.

(DOCX)

S1 Appendix. Intervention taxonomy.

(DOCX)

S2 Appendix. Data extractions and mapping.

(DOCX)

S3 Appendix. Meta-regression analysis appendix.

(PDF)

S4 Appendix. Cost-saving predictions.

(DOCX)

S5 Appendix. Vaccine cost for predictions.

(DOCX)

Data Availability

Cost-effectiveness of HPV vaccination in 195 countries” data files are available from the GHDx database, http://ghdx.healthdata.org/ As the license states: the data are freely available for academic use and other non-commercial use. Redistribution or commercial use is not allowed without prior permission. Thus you can use the maps you made with GADM data for figures in articles published by PLoS, Springer Nature, Elsevier, MDPI, etc.

Funding Statement

CJLM OPP51229 Bill & Melinda Gates Foundation https://www.gatesfoundation.org/ The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

References

  • 1.Goeree R, He J, O’Reilly D, Tarride J-E, Xie F, Lim M, et al. Transferability of health technology assessments and economic evaluations: a systematic review of approaches for assessment and application. Clinicoecon Outcomes Res. 2011;3: 89–104. doi: 10.2147/CEOR.S14404 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 2.Kim DD, Bacon RL, Neumann PJ "Assessing the transferability of economic evaluations: A decision framework. In: Isaranuwatchai W, Archer RA, Teerawattananon Y, Culyer AJ, editors. Non-Communicable Disease Prevention: Best Buys, Wasted Buys and Contestable Buys. Cambridge, UK: Open Book Publishers, 2019. doi: 10.11647/OBP.0195 [DOI] [Google Scholar]
  • 3.Kyu HH, Abate D, Abate KH, Abay SM, Abbafati C, Abbasi N, et al. Global, regional, and national disability-adjusted life-years (DALYs) for 359 diseases and injuries and healthy life expectancy (HALE) for 195 countries and territories, 1990–2017: a systematic analysis for the Global Burden of Disease Study 2017. Lancet. 2018;392: 1859–922. doi: 10.1016/S0140-6736(18)32335-3 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 4.Naghavi M, Abajobir AA, Abbafati C, Abbas KM, Abd-Allah F, Abera SF, et al. Global, regional, and national age-sex specific mortality for 264 causes of death, 1980–2016: a systematic analysis for the Global Burden of Disease Study 2016. Lancet. 2017;390: 1151–210. doi: 10.1016/S0140-6736(17)32152-9 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 5.International Vaccine Access Center (IVAC). HPV: Current vaccine introduction status. [cited 2021 Oct 23] In: VIEW-hub [Internet]. Baltimore: Johns Hopkins School of Public Health. Available from: http://view-hub.org. [Google Scholar]
  • 6.Serrano B, Brotons M, Bosch FX, Bruni L. Epidemiology and burden of HPV-related disease. Best Pract Res Clin Obstet Gynaecol. 2018;47: 14–26. doi: 10.1016/j.bpobgyn.2017.08.006 [DOI] [PubMed] [Google Scholar]
  • 7.Bruni L, Diaz M, Barrionuevo-Rosas L, Herrero R, Bray F, Bosch FX, et al. Global estimates of human papillomavirus vaccination coverage by region and income level: a pooled analysis. Lancet Glob Health. 2016;4: e453–463. doi: 10.1016/S2214-109X(16)30099-7 [DOI] [PubMed] [Google Scholar]
  • 8.Ghebreyesus TA. Cervical Cancer: A non-communicable disease we can overcome. 2018 May 18 [cited 2021 Oct 23]. In: WHO Director-General speeches [Internet]. Geneva: World Health Organization. Available from: http://www.who.int/director-general/speeches/detail/cervical-cancer-an-ncd-we-can-overcome. [Google Scholar]
  • 9.World Health Organization. 73rd World Health Assembly Decisions. 2020 Aug 7 [cited 2021 Oct 23]. In: News release [Internet]. Geneva: World Health Organization. Available from: http://www.who.int/news/item/07-08-2020-73rd-world-health-assembly-decisions. [Google Scholar]
  • 10.World Health Organization. Global strategy to accelerate the elimination of cervical cancer as a public health problem. Geneva: World Health Organization, 2020. [Google Scholar]
  • 11.Gavi, the Vaccine Alliance. Supply and procurement roadmap: human papilloma virus vaccine. 2017 Dec 17 [cited 2021 Oct 23]. In: Supply and procurement roadmaps [Internet]. Available from: http://www.gavi.org/our-alliance/market-shaping/supply-and-procurement-roadmaps.
  • 12.Center for the Evaluation of Value and Risk in Health. Cost Effectiveness Analysis Registry. [cited 2021 Oct 22]. In: CEA Registry [Internet]. Boston: Institute for Clinical Research and Health Policy Studies, Tufts Medical Center. Available from: https://cevr.tuftsmedicalcenter.org/databases/cea-registry. [Google Scholar]
  • 13.Center for the Evaluation of Value and Risk in Health. Global Health Cost Effectiveness Registry. [cited 2021 Oct 22]. In: GH CEA Registry [Internet]. Boston: Institute for Clinical Research and Health Policy Studies, Tufts Medical Center. Available from: https://cevr.tuftsmedicalcenter.org/databases/gh-cea-registry. [Google Scholar]
  • 14.Neumann PJ, Thorat T, Zhong Y, Anderson J, Farquhar M, Salem M, et al. A Systematic Review of Cost-Effectiveness Studies Reporting Cost-per-DALY Averted. PLoS One. 2016;11: e0168512. doi: 10.1371/journal.pone.0168512 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 15.Neumann PJ, Thorat T, Shi J, Saret CJ, Cohen JT. The changing face of the cost-utility literature, 1990–2012. Value Health. 2015;18: 271–7. doi: 10.1016/j.jval.2014.12.002 [DOI] [PubMed] [Google Scholar]
  • 16.Stevens GA, Alkema L, Black RE, Boerma JT, Collins GS, Ezzati M, et al. Guidelines for accurate and transparent health estimates reporting: the GATHER statement. Lancet. 2016;388: e19–23. doi: 10.1016/S0140-6736(16)30388-9 [DOI] [PubMed] [Google Scholar]
  • 17.Jamison DT, Alwan A, Mock CN, Nugent R, Watkins D, Adeyi O, et al. Universal health coverage and intersectoral action for health: key messages from Disease Control Priorities, 3rd edition. Lancet. 2018;391: 1108–20. doi: 10.1016/S0140-6736(17)32906-9 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 18.Gold MR, Stevenson D, Fryback DG. HALYS and QALYS and DALYS, Oh My: similarities and differences in summary measures of population Health. Annu Rev Public Health. 2002;23: 115–34. doi: 10.1146/annurev.publhealth.23.100901.140513 [DOI] [PubMed] [Google Scholar]
  • 19.Salomon JA, Haagsma JA, Davis A, de Noordhout CM, Polinder S, Havelaar AH, et al. Disability weights for the Global Burden of Disease 2013 study. Lancet Glob Health. 2015;3: e712–723. doi: 10.1016/S2214-109X(15)00069-8 [DOI] [PubMed] [Google Scholar]
  • 20.Zheng P, Aravkin AY, Barber R, Sorensen RJD, Murray CJL. Trimmed Constrained Mixed Effects Models: Formulations and Algorithms. Journal of Computational and Graphical Statistics. 2021;30: 1–13. [Google Scholar]
  • 21.World Health Organisation. MI4A vaccine purchase data for countries. 2018. Oct [cited 2021 Oct 24]. In: Market Information for Access to Vaccines (MI4A) [Internet]. Available from: https://www.who.int/publications-detail-redirect/mi4a-vaccine-purchase-data-for-countries. [Google Scholar]
  • 22.Linksbridge. Vaccine Almanac. 2021 Mar [cited 2021 Oct 24]. In: Global Vaccine Market Model (GVMM) [Internet]. For more information, please email gvmm@linksbridge.com.
  • 23.Gavi, the Vaccine Alliance. Eligibility. 2020 Aug 26 [cited 2021 Oct 23]. In: Programmes & Impact/Types of support/Making immunization sustainable [Internet]. Available from: https://www.gavi.org/types-support/sustainability/eligibility.
  • 24.Bertram MY, Lauer JA, De Joncheere K, Edeger T, Hutubessy R, et al. Cost-effectiveness thresholds: pros and cons. Bull World Health Organ. 2016;94: 925–30. doi: 10.2471/BLT.15.164418 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 25.Marseille E, Larson B, Kazi DS, Kahn JG, Rosen S. Thresholds for the cost-effectiveness of interventions: alternative approaches. Bull World Health Organ. 2015;93: 118–24. doi: 10.2471/BLT.14.138206 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 26.Leech AA, Kim DD, Cohen JT, Neumann PJ. Use and Misuse of Cost-Effectiveness Analysis Thresholds in Low- and Middle-Income Countries: Trends in Cost-per-DALY Studies. Value Health. 2018;21: 759–61. doi: 10.1016/j.jval.2017.12.016 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 27.Claxton K, Martin S, Soares M, Rice N, Spackman E, Hinde S, et al. Methods for the estimation of the National Institute for Health and Care Excellence cost-effectiveness threshold. Health Technol Assess. 2015;19: 1–503, v–vi. doi: 10.3310/hta19140 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 28.Woods B, Revill P, Sculpher M, Claxton K. Country-Level Cost-Effectiveness Thresholds: Initial Estimates and the Need for Further Research. Value Health. 2016;19: 929–35. doi: 10.1016/j.jval.2016.02.017 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 29.Ioannidis JPA. Why most published research findings are false. PLoS Med. 2005;2: e124. doi: 10.1371/journal.pmed.0020124 [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 30.Ioannidis J, Doucouliagos C. What’s to Know About the Credibility of Empirical Economics? J Econ Surv. 2013;27: 997–1004. [Google Scholar]
  • 31.Neumann PJ, Fang C-H, Cohen JT. 30 years of pharmaceutical cost-utility analyses: growth, diversity and methodological improvement. PharmacoEconomics. 2009;27: 861–72. doi: 10.2165/11312720-000000000-00000 [DOI] [PubMed] [Google Scholar]
  • 32.Gavi, the Vaccine Alliance. Human papillomavirus vaccine support. 2021 Jul 2 [cited 2021 Oct 23]. In: Programmes & support/Types of support/Vaccine support/Human papilloma virus [Internet] Available from: http://www.gavi.org/types-support/vaccine-support/human-papillomavirus.
  • 33.World Health Organization, Global Market Study: HPV. 2018 Sep [cited 2021 Oct 23] In: Market Information for Access to Vaccines (MI4A) market studies [Internet]. Available from: https//www.who.int/mi4a/platform/module2/WHO_HPV_market_study_public_summary.pdf.
  • 34.Sanders GD, Neumann PJ, Basu A, Brook DW, Feeny D, Krahn M, et al. Recommendations for conduct, methodological practices, and reporting of cost-effectiveness analyses from the second panel on Cost-Effectiveness in Health and Medicine. JAMA. 2016;316: 1093–1103. doi: 10.1001/jama.2016.12195 [DOI] [PubMed] [Google Scholar]

Decision Letter 0

Carlos Alberto Zúniga-González

Transfer Alert

This paper was transferred from another journal. As a result, its full editorial history (including decision letters, peer reviews and author responses) may not be present.

10 May 2021

PONE-D-20-32128

Cost-effectiveness of HPV vaccination in 195 countries: A meta-regression analysis

PLOS ONE

Dear Dr. Christopher JL Murray,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

==============================

Dear author, the urgency of this type of study makes us efficient and quick in our decisions, so I consider that the improvements are minimal as well as the reviewers, so we encourage you to complete your improvements to proceed to its publication.

==============================

Please submit your revised manuscript by Jun 24 2021 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at plosone@plos.org. When you're ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

Please include the following items when submitting your revised manuscript:

  • A rebuttal letter that responds to each point raised by the academic editor and reviewer(s). You should upload this letter as a separate file labeled 'Response to Reviewers'.

  • A marked-up copy of your manuscript that highlights changes made to the original version. You should upload this as a separate file labeled 'Revised Manuscript with Track Changes'.

  • An unmarked version of your revised paper without tracked changes. You should upload this as a separate file labeled 'Manuscript'.

If you would like to make changes to your financial disclosure, please include your updated statement in your cover letter. Guidelines for resubmitting your figure files are available below the reviewer comments at the end of this letter.

If applicable, we recommend that you deposit your laboratory protocols in protocols.io to enhance the reproducibility of your results. Protocols.io assigns your protocol its own identifier (DOI) so that it can be cited independently in the future. For instructions see: http://journals.plos.org/plosone/s/submission-guidelines#loc-laboratory-protocols. Additionally, PLOS ONE offers an option for publishing peer-reviewed Lab Protocol articles, which describe protocols hosted on protocols.io. Read more information on sharing protocols at https://plos.org/protocols?utm_medium=editorial-email&utm_source=authorletters&utm_campaign=protocols.

We look forward to receiving your revised manuscript.

Kind regards,

Carlos Alberto Zúniga-González, Ph.D

Academic Editor

PLOS ONE

Additional Editor Comments:

The minor revisions are in style, I consider their results interesting, so I suggest in the regression metadata analysis approach consider the following references that could help to strengthen your manuscript. a) Dios-Palomares, R. (2015). 7. Analysis of the Efficiency of Farming Systems in Latin America and the Caribbean Considering Environmental Issues. Revista Cientifica-Facultad de Ciencias Veterinarias, 25(1). b) Blanco-Orozco, N., Arce-Díaz, E., & Zúñiga-Gonzáles, C. (2015). Integral assessment (financial, economic, social, environmental and productivity) of using bagasse and fossil fuels in power generation in Nicaragua. Revista Tecnología en Marcha, 28(4), 94-107. c) Zuniga González, C. (2020). Total factor productivity growth in agriculture: Malmquist index analysis of 14 countries, 1979-2008. Revista Electrónica De Investigación En Ciencias Económicas, 8(16), 68-97. https://doi.org/10.5377/reice.v8i16.10661

Journal Requirements:

When submitting your revision, we need you to address these additional requirements.

1. Please ensure that your manuscript meets PLOS ONE's style requirements, including those for file naming. The PLOS ONE style templates can be found at

https://journals.plos.org/plosone/s/file?id=wjVg/PLOSOne_formatting_sample_main_body.pdf and

https://journals.plos.org/plosone/s/file?id=ba62/PLOSOne_formatting_sample_title_authors_affiliations.pdf

2. Please review your reference list to ensure that it is complete and correct. If you have cited papers that have been retracted, please include the rationale for doing so in the manuscript text, or remove these references and replace them with relevant current references. Any changes to the reference list should be mentioned in the rebuttal letter that accompanies your revised manuscript. If you need to cite a retracted article, indicate the article’s retracted status in the References list and also include a citation and full reference for the retraction notice.

3. We note that you have stated that you will provide repository information for your data at acceptance. Should your manuscript be accepted for publication, we will hold it until you provide the relevant accession numbers or DOIs necessary to access your data. If you wish to make changes to your Data Availability statement, please describe these changes in your cover letter and we will update your Data Availability statement to reflect the information you provide.

4. We note that Figure 3 in your submission contain map images which may be copyrighted. All PLOS content is published under the Creative Commons Attribution License (CC BY 4.0), which means that the manuscript, images, and Supporting Information files will be freely available online, and any third party is permitted to access, download, copy, distribute, and use these materials in any way, even commercially, with proper attribution. For these reasons, we cannot publish previously copyrighted maps or satellite images created using proprietary data, such as Google software (Google Maps, Street View, and Earth). For more information, see our copyright guidelines: http://journals.plos.org/plosone/s/licenses-and-copyright.

We require you to either (1) present written permission from the copyright holder to publish these figures specifically under the CC BY 4.0 license, or (2) remove the figures from your submission:

  1. You may seek permission from the original copyright holder of Figure 3 to publish the content specifically under the CC BY 4.0 license. 

We recommend that you contact the original copyright holder with the Content Permission Form (http://journals.plos.org/plosone/s/file?id=7c09/content-permission-form.pdf) and the following text:

“I request permission for the open-access journal PLOS ONE to publish XXX under the Creative Commons Attribution License (CCAL) CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). Please be aware that this license allows unrestricted use and distribution, even commercially, by third parties. Please reply and provide explicit written permission to publish XXX under a CC BY license and complete the attached form.”

Please upload the completed Content Permission Form or other proof of granted permissions as an "Other" file with your submission.

In the figure caption of the copyrighted figure, please include the following text: “Reprinted from [ref] under a CC BY license, with permission from [name of publisher], original copyright [original copyright year].”

  1. If you are unable to obtain permission from the original copyright holder to publish these figures under the CC BY 4.0 license or if the copyright holder’s requirements are incompatible with the CC BY 4.0 license, please either i) remove the figure or ii) supply a replacement figure that complies with the CC BY 4.0 license. Please check copyright information on all replacement figures and update the figure caption with source information. If applicable, please specify in the figure caption text when a figure is similar but not identical to the original image and is therefore for illustrative purposes only.

The following resources for replacing copyrighted map figures may be helpful:

USGS National Map Viewer (public domain): http://viewer.nationalmap.gov/viewer/

The Gateway to Astronaut Photography of Earth (public domain): http://eol.jsc.nasa.gov/sseop/clickmap/

Maps at the CIA (public domain): https://www.cia.gov/library/publications/the-world-factbook/index.html and https://www.cia.gov/library/publications/cia-maps-publications/index.html

NASA Earth Observatory (public domain): http://earthobservatory.nasa.gov/

Landsat: http://landsat.visibleearth.nasa.gov/

USGS EROS (Earth Resources Observatory and Science (EROS) Center) (public domain): http://eros.usgs.gov/#

Natural Earth (public domain): http://www.naturalearthdata.com/

5. Please include captions for your Supporting Information files at the end of your manuscript, and update any in-text citations to match accordingly. Please see our Supporting Information guidelines for more information: http://journals.plos.org/plosone/s/supporting-information.

[Note: HTML markup is below. Please do not edit.]

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Partly

Reviewer #2: Yes

**********

2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: I Don't Know

**********

3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #2: Yes

**********

4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: Yes

**********

5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: The author must add a sub section in the methods parts which is about Meta Regression analysis.

Otherwise, the metholodogical part of your paper become weak. Also, the conclusion part must be improved

Reviewer #2: The manuscript seems interesting . The authors have conducted a thorough literature review, and analysed information accurately and sufficiently. However, the manuscript needs revisions.

1.Different formats have been adopted to quote references, the style should be according to the PLOS requirements and uniform.

2.The policy implications need attention. There is an ample room to suggest more policy implications in the conclusion section.

**********

6. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #1: Yes: DURSUN BALKAN

Reviewer #2: No

[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files.]

While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, https://pacev2.apexcovantage.com/. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at figures@plos.org. Please note that Supporting Information files do not need this step.

PLoS One. 2021 Dec 20;16(12):e0260808. doi: 10.1371/journal.pone.0260808.r002

Author response to Decision Letter 0


1 Nov 2021

3.1. The author must add a sub section in the methods parts which is about Meta Regression analysis. Otherwise, the metholodogical part of your paper become weak.

Response: In the revised subsection on Modelling approaches, we expanded the description of the five stages of the mixed-effects meta-regression framework from one paragraph to six, with a paragraph devoted to each of the five stages, as reproduced below:

“The statistical model and fitting procedures for the analysis of ICERs was conducted in five stages, and used a mixed-effects meta-regression framework (MR-BRT).20 This model included priors on all covariates and a study-specific random intercept. Each stage is described briefly below; for further information, see S3 Appendix.

“In the first stage, we estimated priors for selected covariates by leveraging the fact that one-way sensitivity analyses differ in no unmeasured covariates from their reference analyses. Four covariates had a sufficient number of sensitivity analyses reported published CEA to estimate priors using crosswalk models: vaccine cost, vaccine coverage, cost discount rate, and discount rate for health outcomes. We matched each sensitivity analysis with its corresponding reference analysis, and the crosswalk model estimated the difference in log-ICERs between sensitivity and reference analyses as a function of the difference between values of that covariate. We then constructed Gaussian priors for these covariates to use in all subsequent stages of the analysis with means and standard deviations equal to the crosswalk parameter estimates and standard errors from these crosswalk models.

“In the second stage, we estimated a nonlinear response curve for log-GDP per capita by modeling the log-ICERs as a nonlinear function of log-GDP per capita. Log cervical cancer DALYs per capita was entered linearly into this model, in addition to the four covariates addressed in the first stage, and the priors calculated in the first stage were placed on the corresponding covariates. To make this stage more robust to model misspecification, we placed a spline ensemble on log GDP per capita. This model also used a robust statistical approach for outlier detection, and outliers trimmed at this stage were discarded from subsequent steps of the analysis. The nonlinear response curve estimated by this model was used to transform log-GDP per capita for use in subsequent stages of the analysis.

“In the third stage, we selected additional covariates to include in the final meta-regression using a generalized Lasso approach for linear mixed effects models. The four crosswalk covariates, log cervical cancer DALYs per capita, and spline-transformed log-GDP per capita were pre-selected covariates at this stage, and the priors estimated for the crosswalk covariates were placed on those covariates. This process selected from nine additional candidate covariates: target sex, the proportion of model population assumed to have access to cervical cancer treatment, vaccine type, perspective, time horizon, comparator, and the outcome measure, and whether or not the intervention included a booster dose. Only one of these covariates, the assumption of a booster dose, was not selected for inclusion in the final model.

“In the fourth stage we selected the standard deviation of a Gaussian prior to apply to all regression parameters other than the intercept and the parameters for the four crosswalk covariates. To select a standard deviation, we fit a mixed effects meta-regression models with random intercepts by study, and priors on crosswalk covariates as calculated in the first stage. We normalized all other covariates and included Gaussian priors on those covariates, centered at zero and with a standard deviation that was constant across covariates. We varied this standard deviation using a grid-search and used 10-fold cross-validation to select the standard deviation that minimized the mean squared error for predicting values in the holdout set. We then converted the prior standard deviation back to the unstandardized scale for each covariate.

“In the fifth stage, we fit a mixed effects model with a random intercept and priors on covariates determined in the first and fourth stages. This model included priors on covariates calculated in the first and fourth stages and the transformed version of log-GDP per capita, and random intercepts by study.”

3.2 Also, the conclusion part must be improved

Response: The conclusion has been revised as follows:

This is the first attempt to generate a complete and consistent set of ICERs for HPV vaccines with UI for 195 countries. Meta-regression analysis can be conducted on CEA, where the one-way sensitivity analyses are used to quantify the effects of factors at the intervention and method-level. There is substantial uncertainty in the predicted ICERs in some countries, due to underlying heterogeneity of published CEA. Our results however, identified countries where the HPV vaccine is a good value, despite the uncertainty, and can facilitate decision-making across a wide range of settings.

Globally, introducing the HPV vaccine and achieving high HPV vaccine coverage are critical steps to eliminating cervical cancer burden. Building on all available information, our results support introducing and expanding HPV vaccination, especially in many countries that are eligible for subsidized vaccines from Gavi, the Vaccine Alliance, and the Pan American Health Organization. Vaccine cost is a key covariate, and our estimated models can be readily predictions ICERs and UI whenever vaccine subsidies are extended to additional countries or the vaccine price changes.

Reviewer #2: The manuscript seems interesting . The authors have conducted a thorough literature review, and analysed information accurately and sufficiently. However, the manuscript needs revisions.

4.1. Different formats have been adopted to quote references, the style should be according to the PLOS requirements and uniform.

Response: Thank you for this helpful feedback. The format for citing references complies with the PLOS One requirements in the revised manuscript.

4. 2. The policy implications need attention. There is an ample room to suggest more policy implications in the conclusion section.

Response: Please see the response to comment 3.2 above.

Attachment

Submitted filename: Response to reviewers.docx

Decision Letter 1

Carlos Alberto Zúniga-González

18 Nov 2021

Cost-effectiveness of HPV vaccination in 195 countries: A meta-regression analysis

PONE-D-20-32128R1

Dear Dr. Christopher JL Murray,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

An invoice for payment will follow shortly after the formal acceptance. To ensure an efficient process, please log into Editorial Manager at http://www.editorialmanager.com/pone/, click the 'Update My Information' link at the top of the page, and double check that your user information is up-to-date. If you have any billing related questions, please contact our Author Billing department directly at authorbilling@plos.org.

If your institution or institutions have a press office, please notify them about your upcoming paper to help maximize its impact. If they’ll be preparing press materials, please inform our press team as soon as possible -- no later than 48 hours after receiving the formal acceptance. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact onepress@plos.org.

Kind regards,

Carlos Alberto Zúniga-González, Ph.D

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Congratulations dear authors for the effort to improve the quality of your manuscript.

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #2: All comments have been addressed

**********

2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #2: Yes

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #2: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #2: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #2: Yes

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #2: The topic of the study appears to be interesting. The review comments have been addressed adequately. I wish the author(s) all the best.

**********

7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #2: No

Acceptance letter

Carlos Alberto Zúniga-González

10 Dec 2021

PONE-D-20-32128R1

Cost-effectiveness of HPV vaccination in 195 countries: A meta-regression analysis

Dear Dr. Murray:

I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

If your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact onepress@plos.org.

If we can help with anything else, please email us at plosone@plos.org.

Thank you for submitting your work to PLOS ONE and supporting open access.

Kind regards,

PLOS ONE Editorial Office Staff

on behalf of

Dr. Prof. Carlos Alberto Zúniga-González

Academic Editor

PLOS ONE

Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Table. GATHER compliance checklist.

    (DOCX)

    S2 Table. Selected characteristics of cost-effectiveness articles on human papillomavirus vaccines included in the analysis.

    (DOCX)

    S1 Appendix. Intervention taxonomy.

    (DOCX)

    S2 Appendix. Data extractions and mapping.

    (DOCX)

    S3 Appendix. Meta-regression analysis appendix.

    (PDF)

    S4 Appendix. Cost-saving predictions.

    (DOCX)

    S5 Appendix. Vaccine cost for predictions.

    (DOCX)

    Attachment

    Submitted filename: Response to reviewers.docx

    Data Availability Statement

    Cost-effectiveness of HPV vaccination in 195 countries” data files are available from the GHDx database, http://ghdx.healthdata.org/ As the license states: the data are freely available for academic use and other non-commercial use. Redistribution or commercial use is not allowed without prior permission. Thus you can use the maps you made with GADM data for figures in articles published by PLoS, Springer Nature, Elsevier, MDPI, etc.


    Articles from PLoS ONE are provided here courtesy of PLOS

    RESOURCES