Question

3. 125 ptj In a multiple logistic regression model, the outcome of interest is the presence of liver cirrhosis (Y/N). Covariates include liver albumin (g/dL) and genotype (A, B and C set A as the reference level). The following results were obtained: SE 0.20 0.11 Coefficient (B) Intercept Albumin Genotype B Genotype C -0.25 0.53 0.23 0.25 0.07 (a) Write down the math form of the model. Define all elements. (b) Conduct a hypothesis test for the effect of albumin. (c) Interpret the effect of genotype (d) For a patient with albumin 3g/dL and genotype B, what is the estimated probability of cirrhosis? (e) Next, you fitted another model that does not include the genotype factor. The model fit result is: Intercept 1.42 Albumin Coefficient (B) ISE 0.21 0.05 0.10 Based on these results, comment on the relationship between albumin, genotype and cirrhosis.

Answer 1

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