24). Among-group variability is based on a weighted sum of squared differences b

Question

24). Among-group variability is based on a weighted sum of squared differences between the:

a). population variances and the overall mean of the data set

b). sample means and the overall mean of the data set

            c). sample variances and the overall mean of the data set

d). population means and the overall mean of the data set

25). In a two-way ANOVA test with interaction, how many null hypotheses could be tested?

a). 1

            b). 2

            c). 3

d). More than 3

26). If the interaction between two factors is significant, the next tests to be done are:

a). Test sample means of Factor A and Factor B

b). None, the analysis is complete for ANOVA

            c). Test about the population means of Factor A and Factor B

d). Tukey’s multiple comparisons

27). For the analysis with an interaction between Factor A and Factor B, the first hypothesis test to conduct should be about the:

            a). averages across Factor A

b). the interaction between Factor A and Factor B

c). averages across Factor B

d). sum of squares total

Explanation / Answer

24). Among-group variability is based on a weighted sum of squared differences between the:

Correct answer:

c). sample variances and the overall mean of the data set

An estimate of the population variance based on the differences among the group means. If there is a great deal of spread among several means, this suggests a difference exists among them. Reflects the difference between means that we found in our data.

25). In a two-way ANOVA test with interaction, how many null hypotheses could be tested:

Correct answer:

a). 1

Because there are only two factors in two-way ANOVA

26). If the interaction between two factors is significant, the next tests to be done are:

If interaction is significant means null hypothesis is rejected that is factor A and factor B are not independent. then we test for ANKOVA but here there is on option for ANKOVA. or go with Tukey's test Hence

Correct answer:

d). Tukey’s multiple comparisons

27). For the analysis with an interaction between Factor A and Factor B, the first hypothesis test to conduct should be about the:

Correct answer:

b). the interaction between Factor A and Factor B

First check or test the interaction effect and then test other hypothesis.

Suppose interaction is absent then test simple two way ANOVA for factor A and factor B.

If interaction is present then use Tukey's test for comparision.

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