Consider a two-way ANOVA with six levels for factor A, two levels for factor B, and four replicates in each of the 12 cells, with SSA = 120, SSB = 24, SSE = 108, and SST = 282. Complete parts (a) through (d). a. Form the ANOVA summary table and fill in all values in the body of the table. Mean Square Degrees of Freedom Sum of Squares (Variance) 5 120 24 1 24 24 5 30 24 108 2.7 282 Source A B AB Error Total 48 (Simplify your answers.) F 4
Determine the value of the test statistic.
F STAT = _____ (Simplify your answer.)
Determine the p-value.
p-value = (Round to three decimal places as needed.)
At the 0.05 level of significance, is there an effect due to factor A? State the result of this test.
b. At the 0.05 level of significance, is there an effect due to factor B?
Determine the hypotheses.D. H0: There is no effect due to factor B.
Determine the value of the test statistic.
F STAT = ________ (Simplify your answer.)
Determine the p-value.
p-value = ________ (Round to three decimal places asneeded.)
At the 0.05 level of significance, is there an effect due to factor B? State the result of this test.
c. At the 0.05 level of significance, is there an interaction effect?
Determine the hypotheses.
Determine the value of the test statistic.
F STAT = _____ (Simplify your answer.)
Determine the p-value.
p-value = _____ (Round to three decimal places as needed.)
At the 0.05 level of significance, is there an interaction effect results?
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