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¥3-Way ANOVA: 3dANOVA3 (again, balanced designs only)
HRead the manual first and understand what options are available
åIt is important to understand 2-way ANOVA before moving up to the big time show!
HHas several fixed effects and random effects combinations
HHas new concept: nested design (vs. fully crossed design)
åNested design is for use when you have 2 fixed effects factors and 1 random effects factor where the subjects for the random effects factor depend on one of the fixed effect factors; example:
ífactor A = subject type; level #1=normal, #2=genotype Q, #3=genotype R
ífactor B = stimulus type; levels #1Ð4=different types of videos
ífactor C = subject; levels #1Ð10 = 30 different subjects, 10 in each of the factor A levels; C is ÒnestedÓ inside A
åNested design is a mixture of unpaired and paired tests
íWill be like ÒpairedÓ for tests across stimulus type (factor B levels)
íWill be like ÒunpairedÓ across subject types (factor A levels)
åFully crossed design is when the subjects are common across the other factors
íAs was said before, un-nested design is a generalization of paired t-test
åTreating the subjects correctly is a crucially important decision
HUnlike 3dANOVA2, 3dANOVA3 does not currently allow for arbitrary contrasts between random cells in different factors/different levels