Question

In the analysis of variance F test, the quantity that reflects the treatment effect

		is excluded from F
		is always placed in the numerator
		is always placed in the denominator
		is sometimes placed in the numerator and sometimes in the denominator

Answer 1

In the ANOVA, the F ratio is given by Mean squares Treatment / Mean Squares Error

Therefore the quantity that reflects the treatment effect is Option 2: Always placed in the Numerator.

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The treatment effect is also called the between groups effect. The Sum of squares of treatmenrt is found using the equation SS Treatment = SUM[n * (Individual Mean - Grand Mean)²].

The MS treatment is found by SS treatment / df treatment, where df treatment = k - 1, where k is the number of columns.

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