Given the logistic regression output of Page 468, Exercise 21, interpret the reg

Question

Given the logistic regression output of Page 468, Exercise 21, interpret the regression coefficient (already exponential-transformed) 1.069 of the predictor "Index" (both the value 1.069 and the p-value) Refer to the research of Gallagher et al. (A-10) discussed in Example 11.4.2. Another covariate of interest was a score using the Hospital Anxiety and Depression Index. A higher value for this score indicates a higher level of anxiety and depression. 11.4.2 Binary resp. N*-18 4 Odds Ratio p-value 95% CI 1.069 V p = .008 (1.018, 1.124) INDEX AIC: 233.136 Somers' Dxy rank correlation : 25.515% Somers' AUC of model ROC: 62.757% p = .402 (Hosmer and Lemeshow goodness of fit (GOF)) Files Plots Packages Help Build Git Viewer zoom E Export- 9, Publish 100% 75% 50% OC 25% 0% 10 20 30 INDEX

Explanation / Answer

Odds ratio=1.069, Anxityand depresion level increase 1.069 times as Hospital Anxity and Depresion level increase.

pvalue0.008 <.05,shows that variable, Hospital Anxity and Depresion level is significant at level of sinificance 0.05 .

P=0.402(Homer and lemehow goodnes of fit), show that model is good fit.

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