Comprehensive Statistical Analysis for Hearing Aid Usage

Need help on doing statistical analysis for the data set and answer below questions.

Why might a chi-squared test for independence be insufficient for analyzing associations between variables in this context?

What advantages does a logistic regression model offer over a chi-squared test for examining the relationship between hearing aid usage and other predictors?

Would a binary logistic regression (for yes/no responses) or a multinomial logistic regression (for multiple response levels) be more suitable given the nature of the predictors and the response variable? Why?

How would you interpret the results from likelihood ratio tests in the context of this research? How do these tests help determine the relevance of each variable for hearing aid usage?

What specific assumptions must be made about the data when using logistic regression or multinomial logistic regression models? Could you mathematically describe the data-generating process?

Could alternative variables be used as the response in the model, and what research questions might they address?

What diagnostic tests could be used to check if the assumptions for the logistic regression model are met? How would you interpret these diagnostic results?

How might you address potential issues if diagnostic tests indicate that assumptions are not fully met? What adjustments to the model could be considered?

These questions provide a comprehensive framework to enhance the analytical rigor of the research, moving beyond marginal associations and addressing assumptions and diagnostics comprehensively.