I need help with this question  1. is the factor interaction significant? explain

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1. is the factor interaction significant? explain 

## Multivariate Tests

This table presents the results of multivariate tests analyzing the effects of various factors. The table includes several statistical measures such as Pillai's Trace, Wilks' Lambda, Hotelling's Trace, and Roy's Largest Root, organized under different effects: Intercept, satjob2, agecat4, and the interaction of satjob2*agecat4.

### Column Descriptions:

1. **Effect**: The variables or combinations of variables being tested.
2. **Value**: The test statistic value for each multivariate method.
3. **F**: The F-statistic associated with the test.
4. **Hypothesis df**: Degrees of freedom for the hypothesis.
5. **Error df**: Degrees of freedom for the error.
6. **Sig.**: Significance level, indicating the probability of the results occurring by chance. A value less than 0.05 typically indicates statistical significance.
7. **Partial Eta Squared**: Represents effect size, indicating the magnitude of the effect.

### Multivariate Test Methods:
- **Pillai's Trace**: A test statistic used for multivariate hypothesis testing.
- **Wilks' Lambda**: A test statistic that evaluates a null hypothesis in multivariate analysis.
- **Hotelling's Trace**: A multivariate test statistic similar to the t-test.
- **Roy's Largest Root**: A test statistic used particularly to detect the largest effect.

### Notes:
- The design tests the intercept, satjob2, agecat4, and their interaction.
- Exact F statistic is indicated by superscript b.
- Superscript c indicates an upper bound on F, providing a lower bound on the significance level.

This table aids in understanding the effects of different variables and their combinations on the dependent variable in the context of multivariate analysis. The significance values help determine which effects are statistically significant.
Transcribed Image Text:## Multivariate Tests This table presents the results of multivariate tests analyzing the effects of various factors. The table includes several statistical measures such as Pillai's Trace, Wilks' Lambda, Hotelling's Trace, and Roy's Largest Root, organized under different effects: Intercept, satjob2, agecat4, and the interaction of satjob2*agecat4. ### Column Descriptions: 1. **Effect**: The variables or combinations of variables being tested. 2. **Value**: The test statistic value for each multivariate method. 3. **F**: The F-statistic associated with the test. 4. **Hypothesis df**: Degrees of freedom for the hypothesis. 5. **Error df**: Degrees of freedom for the error. 6. **Sig.**: Significance level, indicating the probability of the results occurring by chance. A value less than 0.05 typically indicates statistical significance. 7. **Partial Eta Squared**: Represents effect size, indicating the magnitude of the effect. ### Multivariate Test Methods: - **Pillai's Trace**: A test statistic used for multivariate hypothesis testing. - **Wilks' Lambda**: A test statistic that evaluates a null hypothesis in multivariate analysis. - **Hotelling's Trace**: A multivariate test statistic similar to the t-test. - **Roy's Largest Root**: A test statistic used particularly to detect the largest effect. ### Notes: - The design tests the intercept, satjob2, agecat4, and their interaction. - Exact F statistic is indicated by superscript b. - Superscript c indicates an upper bound on F, providing a lower bound on the significance level. This table aids in understanding the effects of different variables and their combinations on the dependent variable in the context of multivariate analysis. The significance values help determine which effects are statistically significant.
Expert Solution
Step 1: Overview

Assuming 0.05 significance level.

From the given MANOVA table, it is evident that p-values (Sig.) of interaction (satjob2*agecat4) are 0.237, 0.237, 0.237 and 0.077 for different methods.

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