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. Author manuscript; available in PMC: 2009 Jul 19.
Published in final edited form as: Psychol Methods. 2009 Mar;14(1):43–53. doi: 10.1037/a0014699

Table 2.

Formulas for Growth-Modeling Effect Sizes in the Clinical Literature Applied to Mock Data in Table 1

Study Reported Formula d
Antoni et al., 2006 d = β/(τ)1/2 29.36
Atkins, Berns et al., 2005 r = (t2/( t2 + df))1/2 4.15
Atkins, Eldridge et al., 2005 d = β/(τ)1/2 29.36
Brown et al. 2005 d = β/(τ)1/2 29.36
Christensen et al., 2004 d = β/(τ)1/2 29.36
Dimidjian et al., 2006 d = β/(τ)1/2 29.36
Fraser et al., 2005 d = β/(τ + σ2)1/2 .89
Rye et al., 2005 d = β/σ .89
Sandler et al., 2003 d = t (n1 + n2)/(df)1/2(n1n2)1/2 4.15
Schulz et al., 2006 r = (t2/(t2 + df))1/2 4.15
Tolan et al., 2004 d = β/(τ)1/2 29.36

Note. d is the effect size when the reported formula was applied to the statistics generated from HLM analysis of the mock data in Table 1 (with r-to-d conversion applied when tabled formula was expressed in the r metric). In HLM, σ2 refers to the Level 1 error variance.