Consider the following ANOVA table containing the output from the analysis of a

Question

Consider the following ANOVA table containing the output from the analysis of a factorial design. Source df MS p-value Rows 42.667 42.66717.07 00078 Columns 504.833 3 168.278 67.31 Interaction 38.333 12.778 5.11 01139 rror 40.000 2.500 Total 625.833 23 Which of the following conclusion is correct if the level of significance is 1%? There are significant interaction effects There are no significant column effects. There are significant row and column effects. There are no significant row effects.

Explanation / Answer

first, we need to compare the p values of rows, columns and interactions with the significance level to check whether these values are significant or not.

p value corresponding to rows is 0.00078 which is less than 0.01 level, so rows are significant at 1% significance level

p value corresponding to columns is 0.00000 which is less than 0.01 level, so columns are significant at 1% significance level

p value corresponding to interactions is 0.01139 which is more than 0.01 level, so interaction effect is not significant at 1% significance level

so, it is clear that only row and column effects are significant whereas interaction effects is not significant.

Only option C is matching with the data interpretation.

so, C is the correct answer

option A is incorrect because interaction is not significant

option B is incorrect because columns are significant

option D is incorrect because row effects is significant

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