In a study by Alicikus et al. (A-7), long-term control of prostate cancer receiving radiotherapy was examined in patients after 10 years. The authors using Cox regression analysis to analyze these data, which resulted in the data summarized in the table below. For these data: (a) Calculate the parameter estimates for the Cox regression model. (b) Provide an explanation of the hazard ratios (HR) and their meaning. (c) For age, provide an alternative measure for the HR and provide its meaning in terms of the percent change in years. Hazard Ratio (HR) Variable Age Hormone therapy (yes vs. no) Pre-PSA, >10 ng/mL vs. 10 ng/mL Tumor classification .89 2.41 1.42 1.02 95% CI for HR (96, 1.08) (.44, 1.81) (1.19, 4.88) (1.17, 1.71) p-value .75 .015 <.001 .51

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.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 5EA
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In a study by Alicikus et al. (A-7), long-term control of prostate cancer receiving
radiotherapy was examined in patients after 10 years. The authors using Cox regression
analysis to analyze these data, which resulted in the data summarized in the table below.
For these data:
(a) Calculate the parameter estimates for the Cox regression model.
(b) Provide an explanation of the hazard ratios (HR) and their meaning.
(c) For age, provide an alternative measure for the HR and provide its meaning in terms
of the percent change in years.
Hazard Ratio (HR)
Variable
Age
Hormone therapy
(yes vs. no)
Pre-PSA, >10
ng/mL vs. 10
ng/mL
Tumor
classification.
.89
2.41
1.42
1.02
95% CI for HR
(96, 1.08)
(44, 1.81)
(1.19, 4.88)
(1.17, 1.71)
p-value
.75
.015
<.001
.51
Transcribed Image Text:In a study by Alicikus et al. (A-7), long-term control of prostate cancer receiving radiotherapy was examined in patients after 10 years. The authors using Cox regression analysis to analyze these data, which resulted in the data summarized in the table below. For these data: (a) Calculate the parameter estimates for the Cox regression model. (b) Provide an explanation of the hazard ratios (HR) and their meaning. (c) For age, provide an alternative measure for the HR and provide its meaning in terms of the percent change in years. Hazard Ratio (HR) Variable Age Hormone therapy (yes vs. no) Pre-PSA, >10 ng/mL vs. 10 ng/mL Tumor classification. .89 2.41 1.42 1.02 95% CI for HR (96, 1.08) (44, 1.81) (1.19, 4.88) (1.17, 1.71) p-value .75 .015 <.001 .51
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