Analysis of Variance from General Principles
Post-hoc pooling
Encodes a vector as a "fixed factor"
Encodes a vector as a "random factor"
Cochran's C test of homogeneity of variances
Components of variation
Estimates of an analysis of variance design
GAD: Analysis of Variance from General Principles
General analysis of variance design
Check if a factor is fixed
Check if a factor is random
Student-Newman-Keuls (SNK) procedure
Analysis of complex ANOVA models with any combination of orthogonal/nested and fixed/random factors, as described by Underwood (1997). There are two restrictions: (i) data must be balanced; (ii) fixed nested factors are not allowed. Homogeneity of variances is checked using Cochran's C test and 'a posteriori' comparisons of means are done using Student-Newman-Keuls (SNK) procedure. For those terms with no denominator in the F-ratio calculation, pooled mean squares and quasi F-ratios are provided. Magnitute of effects are assessed by components of variation.