Question
For Questions 12-17, use the following excerpted SAS output (assume Survive = 1 is the outcome of interest) : Testing Global Null Hypothesis: BETA=0 Test
For Questions 12-17, use the following excerpted SAS output (assume Survive = 1 is the outcome of interest):
Testing Global Null Hypothesis: BETA=0 | |||
---|---|---|---|
Test | Chi-Square | DF | Pr>ChiSq |
Likelihood Ratio | 559.3956 | 5 | <.0001 |
Score | 556.7267 | 5 | <.0001 |
Wald | 402.3282 | 5 | <.0001 |
Type 3 Analysis of Effects | |||
---|---|---|---|
Effect | DF | Wald Chi-Square | Pr>ChiSq |
Class | 3 | 108.2432 | <.0001 |
Age | 1 | 18.9236 | <.0001 |
Sex | 1 | 297.0678 | <.0001 |
Analysis of Maximum Likelihood Estimates | ||||||
---|---|---|---|---|---|---|
Parameter | DF | Estimate | Standard Error | Wald Chi-Square | Pr>ChiSq | |
Intercept | 1 | -1.0924 | 0.2370 | 21.2406 | <.0001 | |
Class | Crew | 1 | 0.9201 | 0.1486 | 38.3441 | <.0001 |
Class | First | 1 | 1.7778 | 0.1716 | 107.3697 | <.0001 |
Class | Second | 1 | 0.7597 | 0.1764 | 18.5558 | <.0001 |
Age | Adult | 1 | -1.0615 | 0.2440 | 18.9236 | <.0001 |
Sex | Female | 1 | 2.4201 | 0.1404 | 297.0678 | <.0001 |
12. What is the value of the test statistic used to test the omnibus null hypothesis? (1 point)
- 559.3956
- 556.7267
- 402.3282
- 18.9236
- 108.2432
- All of the above
- a, b, and c only
13. What conclusion should you make about the omnibus null hypothesis based on the given data? (1 point)
- Since p-value < 0.05 we reject the omnibus and conclude that at least one of the independent variables is significantly associated with the probability of surviving.
- Since p-value < 0.05 we reject the omnibus and conclude that all of the independent variables are significantly associated with the probability of surviving.
- Since p-value < 0.05 we fail to reject the omnibus and conclude that none of the independent variables are significantly associated with the probability of surviving.
- Since p-value < 0.05 we fail to reject the omnibus and conclude that at least one of the independent variables is significantly associated with the probability of surviving.
- Since p-value < 0.05 we fail to reject the omnibus and conclude that all of the independent variables are significantly associated with the probability of surviving.
14. Are there reference cells for this problem? If so, what are they? (1 point)
- There are no reference cells
- Yes, the reference cells are crew class, female gender, and adult age
- Yes, the reference cells are third class, male gender, and child age
- Yes, the reference cells are third class, female gender, and adult age
- Yes, the reference cells are crew class, male gender, and child age
15.How many dummy variables are needed for the variable Class? (1 point)
- No dummy variables are needed here
16. What is the odds ratio comparing crew class passengers to third class passengers assuming age and gender are held constant? (1 point)
- 0.9201
- 108.24
- 2.51
- 1.78
- -1.09
17. What is the odds ratio and appropriate interpretation for comparing male passengers to female passengers assuming class and age are help constant? (2 points)
- Female passengers had 2.42 times the odds of surviving the sinking compared to male passengers holding age and cabin class constant.
- Male passengers had 2.42 times the odds of surviving the sinking compared to female passengers holding age and cabin class constant.
- Male passengers had 11.25 times the odds of surviving the sinking compared to female passengers holding age and cabin class constant.
- Female passengers had 11.25 times the odds of surviving the sinking compared to male passengers holding age and cabin class constant.
- Cannot be determined based on the information provided
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