๐ Topic Summary
Multivariate Analysis of Variance (MANOVA) is used to determine whether there are any statistically significant differences between the means of three or more groups on two or more dependent variables. In simpler terms, it's like ANOVA, but for multiple outcome variables. Wilks' Lambda is a statistic used in MANOVA to test the null hypothesis that the means of the groups on the variables are equal. A smaller Wilks' Lambda value indicates a stronger effect.
๐งฎ Part A: Vocabulary
Match the term with its correct definition:
| Term |
Definition |
| 1. MANOVA |
A. A statistic used in MANOVA to test the null hypothesis. |
| 2. Dependent Variable |
B. The variable being measured or tested in an experiment. |
| 3. Independent Variable |
C. The variable that is manipulated in an experiment. |
| 4. Null Hypothesis |
D. A statistical test used to compare the means of multiple groups across multiple dependent variables. |
| 5. Wilks' Lambda |
E. A statement that there is no significant difference between specified populations. |
Matching Answers:
- ๐ก 1-D
- ๐งช 2-B
- ๐ 3-C
- ๐ 4-E
- ๐ข 5-A
โ๏ธ Part B: Fill in the Blanks
MANOVA is an extension of ______ used when there are multiple ______ variables. Wilks' Lambda ranges between ______ and ______. A smaller value of Wilks' Lambda suggests a ______ effect.
Fill in the blank answers:
- ๐ฌ ANOVA
- ๐ Dependent
- ๐ 0
- ๐ญ 1
- ๐ Stronger
๐ค Part C: Critical Thinking
Explain in your own words why MANOVA is preferred over running multiple ANOVAs when you have several dependent variables. What problem does MANOVA solve?
Critical Thinking Answer:
- ๐ง MANOVA is preferred because running multiple ANOVAs increases the risk of Type I error (falsely rejecting the null hypothesis). MANOVA controls for this inflated error rate by analyzing all dependent variables simultaneously, considering their intercorrelations.