Which of the following is false when conducting an analysis of variance? Group of answer choices...

Which of the following is false when conducting an analysis of variance?

Group of answer choices

The difference between three or more means will be examined

The Type I error rate is inflated automatically compared to the t test for independent samples even if you use the same alpha

Specific differences between pairs of means are not known when a significant result is found

Two estimates of the population variance are compared

Solutions

Expert Solution

Which of the following is false when conducting an analysis of variance?

Analysis of variance is for comparsion of means. For two means t-test or z-test can be used. But 3 or more than require ANOVA to compare means. ANOVA first tests whether there is difference between the means. If the result is significant then there is difference. But it does not find the pair of different mean. That is post hoc or LSD tests are used.

The difference between three or more means will be examined

purpose of test

The Type I error rate is inflated automatically compared to the t test for independent samples even if you use the same alpha

type 1 error is rejecting a true null hypothesis. this is to conclude that there is difference but in fact all means are same. Since there are many means there is a chance that conclusion will be of rejection. So the chance of errror of type 1 is increased.

Specific differences between pairs of means are not known when a significant result is found

this is true since then we need to post analysis test

Two estimates of the population variance are compared

This uses the F-test to compare variances.

orchestra answered 1 year ago

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