Question

E419: In performing an analysis of variance in a single factor experiment, a fundamental assumption which is made is that the:

A. Factor (column) means are equal

B. Factor (column) means are unequal

C. Column variances are equal

D. Column variances are significantly different

Answer 1

Solution :

option C is correct

i.e; variances are equal

Becuase,

The factor variance in a single factor experiment is always equal and symmetrical. if the variance are equal then they are called as a balanced model and equal, and sufficiently large.the equality of variances ensure that the model is balanced and sufficiently large enough. the assumption of normality can be violated as the samples are similar or symmetrical. hence analysis of variance assumes that factor variances are equal.

Thank You.

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