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

ID: 3206812 • Letter: A

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.)
plz complete the table


20 -

Explanation / Answer

Source of Variation SS df MS F p - value A 1008 3 - 1 = 2 1008/2 = 504 504/1.6 = 315 0.000 B 400 5 - 1 = 4 400/4 = 100 100/1.6 = 62.5 0.000 Interaction 30 (3 - 1)(5 - 1) = 8 30/8 = 3.75 3.75/1.6 = 2.34 0.027 Error 1558 - (1008 + 400 + 30) = 120 3*5*(6 - 1) = 75 120/ 75 = 1.6 - - Total 1558 3*5*6 - 1 = 89 - - -

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