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. 2013 Nov 26;4:863. doi: 10.3389/fpsyg.2013.00863

Table 1.

Summary of d family effect sizes, standardizers, and their recommended use.

ES Standardizer Use
Cohen's dpop σ (population) Independent groups, use in power analyses when population σ is known, σ calculated with n
Cohen's ds Pooled SD Independent groups, use in power analyses when population σ is unknown, σ calculated with n-1
Hedges' g Pooled SD Independent groups, corrects for bias in small samples, report for use in meta-analyses
Glass's Δ SD pre measurement or control condition Independent groups, use when experimental manipulation might affect the SD
Hedges' gav (SD1 + SD2)/2 Correlated groups, report for use in meta-analyses (generally recommended over Hedges' grm)
Hedges' grm SD difference scores corrected for correlation Correlated groups, report for use in meta-analyses (more conservative then Hedges' gav)
Cohen's dz SD difference scores Correlated groups, use in power analyses