Formulas
Coefficient of Determination
2
2
R2 = rY1
+ rY(2·1)
2
2
R2 = rY2
+ rY(1·2)
SSeffect
Eta squared
2
=
ηeffect
Adjusted group mean
Ȳj∗ = Ȳj − bw (C̄j − C̄)
Logistic regression equation
P1 =
eb0 +b1 X1 +b2 X2 +···
1 + eb0 +b1 X1 +b2 X2 +···
Pseudo R2 of Hosmer and Lemeshow
R2 =
−2LL0 − −2LL1
−2LL0
Proportion mediated
Pmed =
z value of Sobel test (Aroian version)
ab
z=q
b2 SE2a + a2 SE2b + SE2a SE2b
SSCorrected Total
c − c′
ab
=
c
c