GATE 2021 XH5 – Question 55

Research Methods and Statistics · Experimental Designs: Factorial, randomized block, repeated measures and single-subject designs, cohort studies, ANOVA, MANOVA and ANCOVA · 2 marks · Multiple select

A researcher studies two independent variables. Which ANOVA designs can represent this?

2×2 ANOVA
4×3 ANOVA
3×2×2 ANOVA
One-way ANOVA

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Show answer and explanation

Correct answer: (A) 2×2 ANOVA; (B) 4×3 ANOVA

Explanation

In factorial notation, each number represents one independent variable’s number of levels. Both2×2 and4×3 therefore have two factors. The3×2×2 design has three, and one-way ANOVA has one. Select A,B; the number of levels need not be two merely because there are two variables.

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