QUESTION 10 The following are true-false questions: (1) A model for a binary response has a continuous predictor: If the model truly holds, the deviance statistic for the model has an asymptotic chi squared distribution as the sample size increases. It can be used to test model goodness-of-fit. (i) For the horseshoe crab data, when width or weight is the sole predictor for the probability of a satellite, the likelihood-ratio test of the predictor effect has P-value <0.0001. When both weight and width are in the model, it is possible that the likelihood-ratio tests for the partial effects of width and weight could both have P-values larger 0.05. C) For the model, logit[pix]]= alpha + beta "x, suppose y-1 for all x<= 50 and y0 for all x>50. Then, the ML estimate beta-hat= infinity (a) (1) True, (8) True, () True (b) (1) True, (W) False, (H) True (c) (1) False, () True, (i) True (d) (i) True, () True, (ii) False 01 (4) 02 (b) 03 (c)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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QUESTION 10
The following are true-false questions:
(1) A model for a binary response has a continuous predictor: If the model truly holds, the deviance statistic for the model has an asymptotic chi
squared distribution as the sample size increases. It can be used to test model goodness-of-fit.
(i) For the horseshoe crab data, when width or weight is the sole predictor for the probability of a satellite, the likelihood-ratio test of the predictor
effect has P-value <0.0001. When both weight and width are in the model, it is possible that the likelihood-ratio tests for the partial effects of width
and weight could both have P-values larger 0.05.0
(ii) For the model, logit[pi(x)] = alpha+beta "x, suppose y1 for all x 50 and y0 for all x>50. Then, the ML estimate beta-hat infinity
(a) (1) True, (8) True, (iii) True
(b) (1) True, (i) False, (4) True
(c) (1) False, (ii) True, (ii) True
(d) (i) True. (1) True, (i) False
01 (d)
02 (b)
03 (c)
04 (a)
Transcribed Image Text:QUESTION 10 The following are true-false questions: (1) A model for a binary response has a continuous predictor: If the model truly holds, the deviance statistic for the model has an asymptotic chi squared distribution as the sample size increases. It can be used to test model goodness-of-fit. (i) For the horseshoe crab data, when width or weight is the sole predictor for the probability of a satellite, the likelihood-ratio test of the predictor effect has P-value <0.0001. When both weight and width are in the model, it is possible that the likelihood-ratio tests for the partial effects of width and weight could both have P-values larger 0.05.0 (ii) For the model, logit[pi(x)] = alpha+beta "x, suppose y1 for all x 50 and y0 for all x>50. Then, the ML estimate beta-hat infinity (a) (1) True, (8) True, (iii) True (b) (1) True, (i) False, (4) True (c) (1) False, (ii) True, (ii) True (d) (i) True. (1) True, (i) False 01 (d) 02 (b) 03 (c) 04 (a)
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