RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

ANALYSIS OF VARIANCE

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
An F-test can be used to compare the variances of three or more means.
A
True
B
False, it is used to compare variances of two or more means
C
False, it is used to compare means of two or more variances
D
False, it is used to compare means of three or more variances
Explanation: 

Detailed explanation-1: -An F-test (Snedecor and Cochran, 1983) is used to test if the variances of two populations are equal. This test can be a two-tailed test or a one-tailed test. The two-tailed version tests against the alternative that the variances are not equal.

Detailed explanation-2: -The F statistic formula is: F Statistic = variance of the group means / mean of the within group variances.

Detailed explanation-3: -Specify the null and alternative hypotheses. Select two samples from the populations and calculate the sample variances and sizes. Calculate the test statistic, which is the ratio of the larger sample variance to the smaller sample variance. More items

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