Question

4. Suppose you construct a table with cells, rows, and columns to summarize each factor in a two-way ANOVA.

1. Where are the main effects located in the table?

2. Where is the interaction located in the table?

Answer 1

The mentioned table shows the summary of two-way ANOVA;

df Mean square F Source of variation Factor A Sums of squares SSA k-1 Factor B 1-1 SSB MSA MSE MSB MSE MSAB Fas= MSE F: SSA MSA = A-1 SSB MSB 1-1 SSAB MSAB = k-1 (1-1) SSE MSE = klím - 1) Interaction AB SSAB (k-1)(1- 1) kl(m-1) Error SSE Total klm - 1 SSTO

Factor A and Factor B shows the main effects and Interaction AB shows the interaction between factors A and B.