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What is the simplest design of a two-way ANOVA? Explain what the numbers in a two-way...

  1. What is the simplest design of a two-way ANOVA? Explain what the numbers in a two-way ANOVA tell researchers.
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Answer #1

In a basic two-way ANOVA, there are two independent variables and they are crossed to form several independent groups. A two-way ANOVA is just the simplest of a set of ANOVA procedures for factorial designs, called factorial ANOVAs.

ANOVA Summary Table for a Two-Way ANOVA

Source

 df SS MS F p
Factor A dfA=a-1 SSA MSA=SSA/dfA

F=MSA/MSw
Factor B dfB=b-1 SSB MSB=SSB/dfB F=MSB/MSw
AB interaction dfAB=dfAXdfB SSAB MSAB=SSAB/dfAB F=MSAB/MSw
Within dfw=N-ab SSw MSw=SSw/dfw
Total dfT=N-1 SST
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