Analyzing Categorical Data with Contingency Tables

The previous post discussed the concept of missing categorical data in datasets and highlighted its importance. The types of missing data, Missing Completely at Random (MCAR) and Missing at Random (MAR), were explained. Different methods of handling missing data were presented for MCAR and MAR scenarios, including mode imputation, creating an "Unknown" category, conditional imputation, hot deck imputation, multiple imputation, logistic regression imputation, propensity score matching, cluster analysis, and using specialized software. The validation of imputation methods and the role of domain knowledge were emphasized. Additionally, the use of chi-square analyses to assess whether missingness is Missing at Random (MAR) was covered. The process of performing a chi-squared test and interpreting its results was explained, including the comparison of observed and expected frequencies in a contingency table and the consideration of the p-value. The application of the chi-squared t...