A study used logistic regression to determine characteristics associated with Y = whether a cancer patient achieved remission (1 = yes). The most important explanatory variable was a labeling index (LI) that measures proliferative activity of cells after a patient receives an injection of tritiated thymidine. It represents the percentage of cells that are “labeled.” Table 1 shows the grouped data. Software reports Table 2 for a logistic regression model using LI to predict π = P(Y = 1). Using information from Table 2, conduct a Wald test for the LI effect and Interpret. Using information from Table 2, construct a Wald confidence interval for the odds ratio corresponding to a 1-unit increase in LI and interpret. Using information from Table 2, conduct a likelihood-ratio test for the LI effect and interpret. Using information from Table 2, construct the likelihood-ratio confidence interval for the odds ratio and interpret.
A study used logistic regression to determine characteristics associated with Y = whether a cancer patient achieved remission (1 = yes). The most important explanatory variable was a labeling index (LI) that measures proliferative activity of cells after a patient receives an injection of tritiated thymidine. It represents the percentage of cells that are “labeled.” Table 1 shows the grouped data. Software reports Table 2 for a logistic regression model using LI to predict π = P(Y = 1). Using information from Table 2, conduct a Wald test for the LI effect and Interpret. Using information from Table 2, construct a Wald confidence interval for the odds ratio corresponding to a 1-unit increase in LI and interpret. Using information from Table 2, conduct a likelihood-ratio test for the LI effect and interpret. Using information from Table 2, construct the likelihood-ratio confidence interval for the odds ratio and interpret.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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A study used logistic regression to determine characteristics associated with Y = whether a cancer patient achieved remission (1 = yes). The most important explanatory variable was a labeling index (LI) that measures proliferative activity of cells after a patient receives an injection of tritiated thymidine. It represents the percentage of cells that are “labeled.” Table 1 shows the grouped data. Software reports Table 2 for a logistic regression model using LI to predict π = P(Y = 1).
- Using information from Table 2, conduct a Wald test for the LI effect and Interpret.
- Using information from Table 2, construct a Wald confidence interval for the odds ratio corresponding to a 1-unit increase in LI and interpret.
- Using information from Table 2, conduct a likelihood-ratio test for the LI effect and interpret.
- Using information from Table 2, construct the likelihood-ratio confidence interval for the odds ratio and interpret.
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