Table 1Standardized mean difference ES estimations (and their components) for a one-group repeated-measures design

No.SourceEquationComponents
1.Glass et al. (1981)11 dtra=td1n2(1-rPre,Post) td=Y¯Diff2SDiff2(1-rPre,Post)n=Y¯Pre-Y¯PostSDiff2(1-rPre,Post)nSDiff=i=1n(YiDiff-Y¯Diff)2n-1=SPre2+SPost2-2rPre,PostSPreSPost
SDiff = Standard deviation of the difference assuming unequal variances.
n = number of observations
ȲPre = pretest mean of measure Y.
ȲPost = post-test mean of measure Y.
rPre,Post = correlation between YPre and YPost.
2.Rosenthal (1991)3 dtch=td1n td=Y¯DiffSDiffn
3.Becker (1988)19 db=c(n-1)Y¯Post-Y¯PreSPre c(n-1)=1-34(n-1)-1
SPre = standard deviation of the pretest
4.Gibbons et al. (1993)23 dg=c(n-1)Y¯DiffSDiff
5.Huedo-Medina and Johnson (2011)24 dhw=c(n-1)Y¯Post-Y¯PreSwithin-pool SWithin-pool=(n-1)SPre2+(n-1)SPost2n-1=SPre2+SPost2

From: Introduction

Cover of Meta-Analytic Statistical Inferences for Continuous Measure Outcomes as a Function of Effect Size Metric and Other Assumptions
Meta-Analytic Statistical Inferences for Continuous Measure Outcomes as a Function of Effect Size Metric and Other Assumptions [Internet].
Johnson BT, Huedo-Medina TB.

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