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. 2016 Feb 22;21(3):118–128. doi: 10.1007/s12199-016-0518-2

Table 4.

Regression line equations

Y Unita Equation no. n b Intercept (α) Slope (β r P for r
Case Ac (group-based analysis)
 Cd-D μg/kg BW/day
   Total cases 1 23 38.140 −0.0189 −0.586 p < 0.01
   Selected casesf 2 18 21.025 −0.0103 −0.329 p > 0.05
 Cd-B μg/L 3 51 105.139 −0.0518 −0.575 p < 0.01
 Cd-Bg μg/L 4 50 75.207 −0.0369 −0.625 p < 0.01
 Cd-Ucr μg/g cr 5 33 90.183 −0.0443 −0.490 p < 0.01
Case Bd (group-based analysis with adjustment)
 Cd-D μg/kg BW/day
   Total cases 6 23 37.688 −0.0187 −0.522 p < 0.05
   Selected casesf 7 18 11.702 −0.0057 −0.152 p > 0.05
 Cd-B μg/L 8 51 101.003 −0.0498 −0.583 p < 0.01
 Cd-Bg μg/L 9 50 67.782 −0.0332 −0.585 p < 0.01
 Cd-Ucr μg/g cr 10 33 79.049 −0.0388 −0.426 p < 0.05
Case Ce (number-weighted analysis)
 Cd-D μg/kg BW/day 11 7146 40.435 −0.0200 −0.630 p < 0.01
 Cd-B μg/L 12 35,385 81.492 −0.0400 −0.461 p < 0.01
 Cd-Bg μg/L 13 35,313 60.503 −0.0296 −0.411 p < 0.01
 Cd-Ucr μg/g cr 14 10,260 84.707 −0.0417 −0.484 p < 0.01

In the equation Y = α + βX, X is the year of survey and Y is the parameter shown in the table

aUnit for Y

bNumber of groups in Case A and Case B, and number of individuals in Case C

cCase A: the publication year is taken as the survey year when the survey year is not reported

dCase B: in absence of report on the survey year, the survey year is estimated by subtracting 5.5, 5.5 and 3.0 years from the publication year in cases of Cd-D, Cd-B and Cd-Ucr, respectively. There is no significant difference (p > 0.05) in intercepts, slopes and correlation coefficients between Eqs. 1 and 6, Eqs. 2 and 7, Eqs. 3 and 8, Eqs. 4 and 9, and Eqs. 5 and 10

eCase C: calculation was made as in Case A, except that the analysis is made in a number-weighted manner taking the number of individuals into consideration

fFive studies are not included because the Cd-D is estimated taking advantage of e.g., national statistics of food consumptions and the number of participating subjects are not available

gAfter exclusion of one group of extreme cases (p < 0.01 by Smirnov’s test for extreme value)