Consider the following ANOVA for a two-factor factorial experiment: Source DF SS MS F P A 2

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Consider the following ANOVA for a two-factor factorial experiment:

Source DF SS MS F P A 2 8.0000 4.00000 2.00 0.216 B 1 8.3333 8.33333 4.17 0.087 Interaction 2 10.6667 5.33333 2.67 0.148 Error 6 12.0000 2.00000 Total 11 39.0000 In addition to the ANOVA, you are given the following data totals. Row totals (factor A) = 18, 10, 14; column totals (factor B) = 16, 26; cell totals = 10, 8, 2, 8, 4, 10, and replicate totals = 19, 23. The grand total is 42. The original experiment was a completely randomized design. Now suppose that the experiment had been run in two complete blocks.
Answer the following questions about the ANOVA for the blocked experiment.

(a) The block sum of squares is .

(b) There are degrees of freedom for blocks.

(c) The error sum of squares is now .

(d) The interaction effect is now significant at 1 percent.
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Design And Analysis Of Experiments

ISBN: 9781119386100

9th Edition

Authors: Douglas C. Montgomery

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