A 2x4 Factorial analysis of variance will produce how many F

A 2x4 Factorial analysis of variance will produce how many F-ratios? List them by main effects and interaction effects.

Solution

3 f-ratios FOR A 2 FACTOR 2X4 FACTORIAL ANOVA..

1) FACTOR A
2) FACTOR B

3)AXB WHICH IS THE INTERACTION EFFECT.....

WHEN IT IS MORE THAN 2 FACTOR....

SAY n-factor..

total no. of f-ratios = total no. of factors + ( interaction between them taking 2 factors of them at a time) + ( interaction taking 3 factors at a time)+ .........+ ( interation due to all n-factor)