4. The following output was obtained from a computer program that perfomed a two

Question

4. The following output was obtained from a computer program that perfomed a two-facor ANOVA o a factorial experiment. Assume a significance level of 05. Source dr 0322 80.554 40.2 Erroe Total 8.7773 a. Complete the ANOVA table above. All blank spaces are able to be filled in b. How many levels ave there for Fastor B? e.How many replications of the experiment were perforned? d What conclusions would you draw about this experiment? Is it appropriate to perform post hoe tests based on the significance of Factor B? Is it appropeiate to perform post

Explanation / Answer

b)

levels =df for B+1 =2+1 =3

c)

replications =total N/((df of A+1)*(df of B+1)) =(17+1)/((1+1)*(2+1)) =3

d)

as test statics for level B is higher than critical value ; therefore we can conclude that at least one level in factor B has different mean from other levels in B

therefore it is appproprate to perform post hoc test of factor B.

Source SS df MS F F crit A 0.322 1 0.3220 0.037 4.7472 B 80.554 2 40.2770 4.589 3.8853 AxB 45.348 2 22.6740 2.583 3.8853 Error 105.327 12 8.7773 Total 231.551 17

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