When to use the proportional, binomial, and poisson regression models, and what are their respective advantages?

Why and why do we use the Binomial, Poisson, and Proportional models of regression? Explain how and why degrees of freedom are included into each of these models.

Read the following study sections from the study and answer the questions   RE: Food groups and renal cell carcinoma resta from a case-control study. Dolwick Grieb et al, 2009   Objective: To examine the effect of food groups and individual food items (the exposures or independent variables) on renal cell carcinoma risk (the outcome or dependent variable)   Statistical Analysis: For the analysis, the researchers used multiple logistic regression Multiple logistic regression is used to explore relationships between two or more independent variables and a dichotomous dependent variable (eg, disease disease) In this study, each independent variable (a food group or a food) was analyzed one at a time while also controlling for other variables such as age, sex, and income For each independent variable, mutiple logistic regression gives an odds ratio (odds of an outcome), 95% confidence intervals (CI), and ita P value. All analyses controlled for age, gender, race, income, BMI, and pack…

You are given the true labels and the predicted probabilities from logistic regression model for N test examples. Approximately compute the AUC scores for ROC and PR curves.