Which of the following statement(s) is/are correct regarding Multiple Analysis of Variance (MANOVA)?
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- Tests the mean difference of more than two groups on one dependent variable.
- Tests the mean difference of more than two groups across several dependent variables.
- The independent variable is measured on a nominal scale and dependent variable on an interval or ratio scale.
- The dependent variable is measured on nominal scale and independent variable on an interval or ratio scale.
The Correct Option is B, C
Solution and Explanation
Step 1: Understanding MANOVA.
MANOVA is used when there are multiple dependent variables and the goal is to test whether there are any statistically significant differences between the means of more than two groups. It is an extension of ANOVA (Analysis of Variance) that allows for the inclusion of more than one dependent variable.
Step 2: Analyzing the options.
- (A) Incorrect, as MANOVA involves multiple dependent variables, not just one.
- (B) Correct, MANOVA tests the mean differences across more than two groups on several dependent variables simultaneously.
- (C) Correct, in MANOVA, the independent variable is typically categorical (nominal), and the dependent variables are measured on interval or ratio scales.
- (D) Incorrect, as MANOVA involves independent variables measured on a nominal scale, not the dependent variable.
Step 3: Conclusion.
Thus, the correct answers are (B) and (C).
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