EDUCATION (CBSE/UGC NET)

EDUCATION UGC NET

RESEARCH METHODOLOGY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The F-test:
A
is essentially a two tailed test.
B
is essentially a one tailed test.
C
can be one tailed as well as two tailed depending on the hypothesis.
D
can never be a one tailed test.
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 reason is that t2 has no negative values. In a F-distribution, all differences are values in the same direction. It’s like when you close a book that was open: Where all pages were on both sides of the spine in the open book (the t-test) all pages are on one side of the spine in a F-test.

Detailed explanation-3: -This is because a two-tailed test uses both the positive and negative tails of the distribution. In other words, it tests for the possibility of positive or negative differences. A one-tailed test is appropriate if you only want to determine if there is a difference between groups in a specific direction.

Detailed explanation-4: -A one-tailed test is used to ascertain if there is any relationship between variables in a single direction, i.e. left or right. As against this, the two-tailed test is used to identify whether or not there is any relationship between variables in either direction.

Detailed explanation-5: -The F statistic obtained from running an analysis of variance will tell you which groups have significantly higher, or significantly lower, scores as compared with every other group. All F-tests are nondirectional.

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