11.9 Formulas

324

dfbetween = Ngroups − 1 (p. 281)
dfwithin = df1 + df2 + … 1 dflast (in which df1, df2, etc., are the degrees of freedom, N − 1, for each sample) [formula for a one-way between-groups ANOVA] (p. 281)
dftotal = dfbetween + dfwithin [formula for a one-way between-groups ANOVA] (p. 286)
dftotal = Ntotal − 1 (p. 286)
image (p. 287)
SStotal = ∑(X − GM)2 (p. 288)
SSwithin = ∑(X − M)2 [formula for a one-way between-groups ANOVA] (p. 288)
SSbetween = ∑(M − GM)2 (p. 289)
SStotal = SSwithin + SSbetween [alternative formula for a one-way between-groups ANOVA] (p. 290)
image (p. 290)
image (p. 290)
image (p. 290)
image [formula for a one-way between-groups ANOVA] (p. 294)
image , if equal sample sizes (p. 295)
image , for any two sample means (p. 295)
image (p. 296)
image if unequal sample sizes (p. 296)
dfsubjects = n − 1 (p. 301)
dfwithin = (dfbetween)(dfsubjects) [formula for a one-way within-groups ANOVA] (p. 301)
dftotal = dfbetween + dfsubjects + dfwithin [formula for a one-way within-groups ANOVA] (p. 301)
SSsubjects = ∑(Mparticipant − GM)2 (p. 303)
SSwithin = SStotal − SSbetween − SSsubjects [formula for a one-way within-groups ANOVA] (p. 303)
image (p. 304)
image (p. 304)
image [formula for a one-way within-groups ANOVA] (p. 306)