📚 Topic Summary
MANOVA (Multivariate Analysis of Variance) is used to compare the means of multiple groups on two or more dependent variables simultaneously. It's like ANOVA, but for multiple outcome variables! Wilks' Lambda ($\Lambda$) is a test statistic used in MANOVA to determine if there is a significant difference between the group means. A small Wilks' Lambda value suggests that the group means are different.
🧠 Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| 1. MANOVA |
A. The probability of rejecting the null hypothesis when it is true. |
| 2. Wilks' Lambda |
B. A statistical test used to compare the means of multiple groups on two or more dependent variables. |
| 3. Dependent Variable |
C. A variable whose value depends on that of another. |
| 4. Independent Variable |
D. A test statistic used in MANOVA to determine if there is a significant difference between the group means. |
| 5. Alpha Level |
E. A variable whose value is manipulated to observe its effect on another variable. |
(Answers: 1-B, 2-D, 3-C, 4-E, 5-A)
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words provided: multivariate, groups, variance, dependent, Wilks' Lambda.
MANOVA, or ___________ Analysis of ___________, is used to compare the means of multiple ___________ on two or more ___________ variables simultaneously. ___________ is a test statistic commonly used within MANOVA.
(Answers: Multivariate, Variance, groups, dependent, Wilks' Lambda)
🤔 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?