Given the results from Problem 1,
a. at the 0.05 level of significance, is there an effect due to factor A?
b. at the 0.05 level of significance, is there an effect due to factor B?
c. at the 0.05 level of significance, is there an interaction effect?
Problem 1: Given a two-factor factorial experiment and the ANOVA summary table that follows, fill in all the missing results:
Source | Degrees of Freedom | Sum of Squares | Mean Square (Variance) | F |
A | r - 1 = 2 | SSA = ? | MSA = 80 | FSTAT = ? |
B | c - 1 = ? | SSB = 220 | MSB = ? | FSTAT = 11.0 |
AB | (r – 1)(c – 1) = 8 | SSAB = ? | MSAB = 10 | FSTAT = ? |
Error | rc(n′-1) = 30 | SSE = ? | MSE = ? |
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Total | n - 1 = ? | SST = ? |
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