Based on the estimated coefficients of your logistic regression, briefly comment on the relationship between the predictors and the (log) odds of developing heart disease.
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Common predictors for heart disease might include age, cholesterol levels, blood pressure, smoking status, and physical activity. Show more…
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A health researcher wants to be able to predict whether the "incidence of heart disease" can be predicted based on "age", "weight", "gender" and "VO2max" (i.e., where VO2max refers to maximal aerobic capacity, an indicator of fitness and health). To this end, the researcher recruited 100 participants to perform a maximum VO2max test as well as recording their age, weight and gender. The participants were also evaluated for the presence of heart disease. A binomial logistic regression was then run to determine whether the presence of heart disease could be predicted from their VO2max, age, weight and gender. A logistic regression is performed and the SPSS output are given below: Model Summary Step | -2 Log likelihood | Cox & Snell R Square | Nagelkerke R Square 1 | 102.088a | .240 | .330 a. Estimation terminated at iteration number 5 because parameter estimates changed by less than .001. Classification Tablea Observed | Predicted heart_disease | Percentage Correct No | Yes Step 1 heart_disease No | 55 | 10 | 84.6 Yes | 19 | 16 | 45.7 Overall Percentage | | | 71.0 a. The cut value is .500 Variables in the Equation B | S.E. | Wald | df | Sig. | Exp(B) | 95% C.I. for EXP(B) Lower | Upper Step 1a age | .085 | .028 | 9.132 | 1 | .003 | 1.089 | 1.030 | 1.151 weight | .006 | .022 | .065 | 1 | .799 | 1.006 | .962 | 1.051 gender(1) | 1.950 | .842 | 5.356 | 1 | .021 | 7.026 | 1.348 | 36.625 VO2max | -.099 | .048 | 4.266 | 1 | .039 | .906 | .824 | .995 Constant | -1.676 | 3.336 | .253 | 1 | .615 | .187 a. Variable(s) entered on step 1: age, weight, gender, VO2max. Interpret and analyse the output and present the apt model to predict the heart disease in terms of age, weight, gender and VO2max. Write a brief report on the analysis. Calculate the necessary probabilities.
Madhur L.
To study factors that affect the recurrence of heart attacks (HA), an investigator collected data from 100 HA victims. The investigator fit a logistic regression model with an indicator of a second HA within one year (1 = HA; 0 = no HA) as the binary outcome. There are two predictors: - anger = 1 if the patient completed an anger management program; 0 otherwise - anx = anxiety score (0 = low anxiety, 100 = high anxiety) Computer output is given below. Coefficients: Estimate Std. Error z value Pr(>|z|) (Intercept) -3.80288 0.84528 -4.499 6.83e-06 *** anger -0.15038 0.53677 -0.280 0.779 anx 0.05081 0.01266 4.015 5.94e-05 In terms of anger and anx, what are the odds of a patient having a second heart attack? What is the probability of a second heart attack for a patient that has completed an anger management program and scored a 100 on the anxiety test? For patients that have completed the anger management program, is high anxiety associated with an increased probability of a second heart attack? Explain. Is there statistical evidence that an anger management program is associated with a reduction in the probability of a second heart attack? Explain.
Areen D.
Shu N.
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