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Does this JMP output allow us to conclude that we have equal variances? Test F Ratio DFNum DFDen 4.3292 4.4213 4.4951 4.5604 3.9147 O'Brien[.5] Brown-Forsythe Levene Bartlett F Test 2-sided 1 1 1 1 11 No, because the p-value is less than 0.10. Yes, because the p-value is greater than 0.10. Yes, because the p-value is less than 0.10. No, because the p-value is greater than 0.10. 22 22 22 11 p-Value 0.0493* 0.0472 0.0455 0.0327* 0.0327*

Does this JMP output allow us to conclude that we have equal variances? Test F Ratio DFNum DFDen 4.3292 4.4213 4.4951 4.5604 3.9147 O'Brien[.5] Brown-Forsythe Levene Bartlett F Test 2-sided 1 1 1 1 11 No, because the p-value is less than 0.10. Yes, because the p-value is greater than 0.10. Yes, because the p-value is less than 0.10. No, because the p-value is greater than 0.10. 22 22 22 11 p-Value 0.0493* 0.0472 0.0455 0.0327* 0.0327*

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Variance Equality Analysis Using JMP Output This section explores whether statistical tests conclude equal variances using JMP output. Here's a summary of the given tests and results: #### Table of Tests | Test | F Ratio | DFNum | DFDen | p-Value | |------------------|---------|-------|-------|---------| | O'Brien[.5] | 4.3292 | 1 | 22 | 0.0493* | | Brown-Forsythe | 4.4213 | 1 | 22 | 0.0472* | | Levene | 4.4951 | 1 | 22 | 0.0455* | | Bartlett | 4.5604 | 1 | . | 0.0327* | | F Test 2-sided | 3.9147 | 11 | 11 | 0.0327* | #### Explanation Each row represents a different test for equality of variances: - **O'Brien's Test**: F Ratio = 4.3292, p-value = 0.0493 - **Brown-Forsythe Test**: F Ratio = 4.4213, p-value = 0.0472 - **Levene's Test**: F Ratio = 4.4951, p-value = 0.0455 - **Bartlett's Test**: F Ratio = 4.5604, p-value = 0.0327 - **F Test 2-sided**: F Ratio = 3.9147, p-value = 0.0327 All tests have p-values marked with an asterisk indicating significance. #### Decision Criteria A p-value less than 0.10 suggests that variances are not equal. Based on this criterion, select the appropriate answer: - **Option 1:** No, because the p-value is less than 0.10. - **Option 2:** Yes, because the p-value is greater than 0.10. - **Option 3:** Yes, because the p-value is less than 0.10. - **Option 4:** No, because the p-value is greater than 0.10. Given that all p-values are less than 0.10, we conclude variances
Transcribed Image Text:### Variance Equality Analysis Using JMP Output This section explores whether statistical tests conclude equal variances using JMP output. Here's a summary of the given tests and results: #### Table of Tests | Test | F Ratio | DFNum | DFDen | p-Value | |------------------|---------|-------|-------|---------| | O'Brien[.5] | 4.3292 | 1 | 22 | 0.0493* | | Brown-Forsythe | 4.4213 | 1 | 22 | 0.0472* | | Levene | 4.4951 | 1 | 22 | 0.0455* | | Bartlett | 4.5604 | 1 | . | 0.0327* | | F Test 2-sided | 3.9147 | 11 | 11 | 0.0327* | #### Explanation Each row represents a different test for equality of variances: - **O'Brien's Test**: F Ratio = 4.3292, p-value = 0.0493 - **Brown-Forsythe Test**: F Ratio = 4.4213, p-value = 0.0472 - **Levene's Test**: F Ratio = 4.4951, p-value = 0.0455 - **Bartlett's Test**: F Ratio = 4.5604, p-value = 0.0327 - **F Test 2-sided**: F Ratio = 3.9147, p-value = 0.0327 All tests have p-values marked with an asterisk indicating significance. #### Decision Criteria A p-value less than 0.10 suggests that variances are not equal. Based on this criterion, select the appropriate answer: - **Option 1:** No, because the p-value is less than 0.10. - **Option 2:** Yes, because the p-value is greater than 0.10. - **Option 3:** Yes, because the p-value is less than 0.10. - **Option 4:** No, because the p-value is greater than 0.10. Given that all p-values are less than 0.10, we conclude variances
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