Function to calculate both effect sizes (dIG.ipe, dRM.ipe), i.e., independent groups and repeated measures standardized effect sizes and variances, for AB/BA crossover design studies ignoring period effect (thus wrong). Function is used in a paper "Effect Sizes and their Variance for AB/BA Crossover Design Studies" by Lech Madeyski and Barbara Kitchenham.
- data set in a form required to calculate effect sizes in AB/BA crossover experimental designs
data frame incl. calculated effect sizes and variances: # dIG.ipe - independent groups standardized effect size # var.dIG.ipe - variance of independent groups standardized effect size # dRM.ipe - repeated measures (within-subjects) standardized effect size # var.dRM.ipe - variance of repeated measures (within-subjects) standardized effect size # dIG.Fromt.ipe - independent groups standardized effect size calculated from t: dIG.Fromt=t*sqrt(1-r)*sqrt((N1+N2)/(2*N1*N2)) # var.dIG.Fromt.ipe - variance of independent groups standardized effect size calculated from t: var.dIG.Fromt=var.t*(1-r)*((N1+N2)/(2*N1*N2)) # dRM.Fromt.ipe - dRM calculated from t: dRM.Fromt=t*sqrt((N1+N2)/(2*N1*N2)) # var.dRM.Fromt.ipe - var.dRM calculated from t: var.dRM.Fromt = var.t*((N1+N2)/(2*N1*N2)) # var.dRM.Fromt2.ipe - var.dRM calculated from t or rather dRM.Fromt: var.dRM.Fromt2=(df/(df-2))*((N1+N2)/(2*N1*N2)+dRM.Fromt^2)- dRM.Fromt^2/c^2 # unstandardizedES.ipe - estimated unstandardized technique effect size # var.sig.ipe - sum of within-subjects variance and between-subjects variance # var.within.ipe - within-subjects variance # var.between.ipe - between-subjects variance # t.ipe - t-value # var.t.ipe - variance of t-variable
Lech Madeyski and Barbara Kitchenham
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