Question: 5.45. Consider the following ANOVA for a two-factor factorial experiment: In addition to the ANOVA, you are given the following data totals. Row totals (factor

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

Source DF A 2 B Interaction Error Total SS MS 8.0000 18.3333

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 (Yes or No).

Source DF A 2 B Interaction Error Total SS MS 8.0000 18.3333 F P 4.00000_2.00 0.216 8.33333_4.17 0.087 210.6667_5.33333 2.67 0.148 6 12.0000 2.00000 11 39.0000

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