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A, B=subject classes: genotype, sex, or disease
C=stimulus category, etc.
D=subjects, random with two distinct factors dividing the subjects into finer sub-groups
(e.g., A=sex  «  B=genotype)
CF « DR(AF « BF)
Doubly nested!
(The PSFB special)
A=stimulus type (e.g., repetition number)
B=another stimulus category (e.g., animal/tool)
C=subjects (a common set among all conditions)
D=stimulus subtype (e.g., perceptual/conceptual)
BF « CR « DF(AF)
Third factor random; fourth factor fixed and nested within the first (fixed) factor
A=subject class: genotype, sex, or disease
B,C=stimulus category, etc.
D=subjects nested within A levels
BF « CF « DR(AF)
Last factor random, and nested within the first (fixed) factor
A,B,C=stimulus category, etc.
D=subjects, typically treated as random (more powerful than treating them as multiple measurements)
Good for an experiment where each fixed factor applies to all subjects;
AF«BF « CF « DR
Last factor random;
fully crossed
A,B,C,D=stimulus category, drug treatment, etc.
All combinations of subjects and factors exist;
Multiple subjects: treated as multiple measurements;
One subject: longitudinal analysis
AF«BF « CF « DF
All factors fixed;
 fully crossed
5 Types of 4-Way ANOVA Now Available!