62013-03-08 10:17:44localhostconverted to 1.6 markup52010-05-11 14:40:05PeterWatson42010-05-11 14:39:38PeterWatson32010-05-11 14:38:56PeterWatson22010-05-11 14:35:27PeterWatson12010-05-11 14:34:22PeterWatson

For N subjects and g group variables (factors) with respective levels L1, L2, ... , Lg and a within subjects factors, W, the table below gives the degrees of freedom for various types of sources variation in an analysis of variance. Source of variation df Factor L1-1 2-way interaction (L1-1)(L2-1) K-way interaction of factors $$\prod_text{k} (L_text{k}-1)$$ Between subjects error terms Error (one-way anova between subjects) N - L1 Error (between subjects) N - df of terms involving between subjects factors - 1 Within subjects error terms Error (subjects x W1), no between subjects factor (N-1)(L1-1) Error (subjects x W1 x W2, no between subjects factor ) (N-1)(L1-1)(L2-1) Error (subjects x W1 x W2, 1 between subjects factor) (N-L1)(L2-1)(L3-1) Error (subjects x Within subjects interaction) df of Error (between subjects) x df(Within subjects interaction term) Reference Boniface DR (1995) Experiment design and statistical methods for behavioural and social research. Chapman and Hall:London. (This book contains further details about computing degrees of freedom and also SS in balanced designs for terms in an ANOVA).