Question

In: Math

Why is Levene’s test a useful test for factorial ANOVA? It looks to see if there...

Why is Levene’s test a useful test for factorial ANOVA?
It looks to see if there are any significant differences within group variables.
It looks to see if there are any significant differences within group variances.
It looks to see if there are any significant differences between group variances.
None of the above .

Solutions

Expert Solution

The correct option is the third option: It looks to see if there are any significant differences between group variances.

[ANSWER]

Explanation:

First option is incorrect because Levene's test is used to test for variances, not variables.

Second option is incorrect because is used to test for between group variances not within group variances.

Third option is correct because Levene's test is used to check for the equality of variances between two or more groups for a variable in ANOVA. ANOVA assumes that the variances of the different groups from which different samples have been drawn are equal. Levene's test checks whether this assumption is satisfied or not. The null hypothesis of Levene's test is "the population variances are equal" (usually called homoscedasticity).

Fourth option is incorrect because third option is correct and not all options are incorrect.

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