Explain ANOVA (Analysis of Variance). How is F test for differences among more than two means...

Explain ANOVA (Analysis of Variance). How is F test for differences among more than two means used in this case to test a hypothesis? Give an example.

Expert Solution

Analysis of variance (ANOVA) is used to find out statistical models and their associated estimation procedures i.e. "variation" among and between groups used to analyze the differences among group means in a sample.

ANOVA is used two compare the means of two or more groups.

ANOVA is the extension of t test.

Analysis of variance (ANOVA) can determine whether the means of three or more groups are different. ANOVA uses F-tests to statistically test the equality of means.

F test =

We use the F-test to determine whether group means are equal, it’s just a matter of including the correct variances in the ratio. In one-way ANOVA, the F-statistic is this ratio test can also be extended to check whether the means of three or more groups are different or not (ANOVA F-test). It is conceptually similar to multiple two-sample t-tests.

e.g

Suppose we want test difference in IQ score by country and age .We use the ANOVA for interaction between two independent variable.

milcah answered 2 hours ago

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