Question:
A researcher is conducting a study involving two independent variables. Which of the following Analysis of Variance (ANOVA) is/are available to him/her?
A researcher is conducting a study involving two independent variables. Which of the following Analysis of Variance (ANOVA) is/are available to him/her?
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The number of factors in ANOVA equals the number of independent variables.
Updated On: Dec 24, 2025
- $2 \times 2$ ANOVA.
- $4 \times 3$ ANOVA.
- $3 \times 2 \times 2$ ANOVA.
- One-way ANOVA.
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The Correct Option is A, B
Solution and Explanation
Step 1: Understanding independent variables in ANOVA.
The number of independent variables determines the type of ANOVA used. Two independent variables require a two-way (factorial) ANOVA.
Step 2: Evaluation of options.
Options (A) and (B) both represent factorial ANOVAs with two independent variables, differing only in the number of levels.
Step 3: Elimination of incorrect options.
Option (C) involves three independent variables, while option (D) involves only one independent variable.
Step 4: Conclusion.
Hence, options (A) and (B) are correct.
The number of independent variables determines the type of ANOVA used. Two independent variables require a two-way (factorial) ANOVA.
Step 2: Evaluation of options.
Options (A) and (B) both represent factorial ANOVAs with two independent variables, differing only in the number of levels.
Step 3: Elimination of incorrect options.
Option (C) involves three independent variables, while option (D) involves only one independent variable.
Step 4: Conclusion.
Hence, options (A) and (B) are correct.
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