Which one of the following is NOT one of the assumptions for

Which one of the following is NOT one of the assumptions for Analysis of Variance?

Select one:

a. The response variable is normally distributed for all populations

b. The observations must be independent from each other

c. The variance of the response variable is the same for all the populations

d. All of the above are valid assumptions for Analysis of Variance

When testing for the difference between four population means:

Select one:

a. A t-test must be performed

b. A z-test must be performed

c. An x2 test must be performed

d. An F test must be performed

When conducting an Analysis of Variance test, if we fail to reject the null hypothesis

Select one:

a. The pvalue

b. The test statistic F

c. The between treatments estimate of ² is statistically close to ²

d. None of the above, you would reject Ho on all those cases

Solution

To use the ANOVA test we made the following assumptions:

Thus, all the assumptions are Valid assumptions for ANOVA

2)

TO test 2 means, t-test can work. However, for multiple means, you\'ll have to run the t-test multiple times.

The other way to run a test for multiple means equality =ANOVA.

We use F-statistic when we perform an ANOVA Test.

3)

To fail to reject null hypothesis,

P-value > a

Test Stat < F-crit

IF MS(Between groups) = MS (Error) , then F-stat value will be small and hence we will fil to reject null hypothesis

Hope this helps. Ask if you have any doubts.`