Table B-10Mean efficiency for the ES indexes as a function of the correlation (r) between pretest and post-test

rdhbdhwdbdgds1ds2ds3
.000.00110.00030.00110.00060.00060.00060.0006
.250.00110.00030.00110.00070.00060.00060.0006
.500.00110.00040.00110.00110.00070.00070.0006
.750.00110.00050.00110.00280.00090.00090.0007

Note. See Tables 1 and 2 in the main report for definitions of each ES index. db=Becker’s standardized mean difference; dg=Gibbons’s standardized mean difference. dhb=Hedges’s standardized mean difference using the between-studies degrees of freedom. dhw=Huedo-Medina and Johnson’s standardized mean difference using the within-study degrees of freedom. ds1=Standardized mean difference proposed by Shadish (See Table 2, No. 10). ds2=Standardized mean difference proposed by Shadish using the standard deviation from ANOVA results (See Table 2, No. 11). ds3=Standardized mean difference proposed by Shadish using the standard deviation from ANCOVA results (See Table 2, No. 12).

From: Appendix B, Bias, Efficiency, and Theoretical Variance for All Effect Size Indexes and Their Variances (Specific Aim 2)

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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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