A two-way analysis of variance experiment with interaction was conducted. Factor

Question

A two-way analysis of variance experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. The results include the following sum of square terms: Use Table 4

SST = 1558 SSA = 1008 SSB = 400 SSAB = 30

a.Construct an ANOVA table. (Leave no cells blank - be certain to enter "0" wherever required. Round "p-value" to 3 decimal places and all other answers except "df" and "SS" to 2 decimal places.)

Also compute P values and Fcritical at 1%

Explanation / Answer

ANOVA table Source SS    df MS F    p-value F (Critical) A 1008 3 - 1 = 2 1008/2 = 504.00 504/1.46 = 345.21 .000 4.87 B 400 5 - 1 = 4 400/4 = 100.00 100/1.46 = 68.49 .000 3.56 AB 30 1 30/1 = 30.00 30/1.46 = 20.55 .000 6.95 Error 1558 - (1008 + 400 + 30) = 120 89 - (2 + 4 + 1) = 82 120/82 = 1.46 Total 1558 3 * 5 * 6 - 1 = 89

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