Statistics MCQs, Data Analysis, Stat Software
Regression Analysis, Hat Matrix, Residual Analysis, Regression Diagnostics, Role and Properties of Hat Matrix, Internally Studentized Residuals
In this post, a discussion about diagnostics for a Leverage Influential point and outlier will be made. In a regression analysis, certain observations may play a role in influencing the outcomes of the fitted model and its estimates. These observations may be classified as outliers, leverage, and influential points. Outliers, …
The post is about the importance and role of the Hat Matrix in Regression Analysis. Hat matrix is a $n\times n$ symmetric and idempotent matrix with many special properties that play an important role in the diagnostics of regression analysis by transforming the vector of observed responses $Y$ into the …