The Hat Matrix in Regression and ANOVA

The Hat Matrix and Regression Diagnostics

Myers, Montgomery, and Vining explain the matrix algebra of OLS with more clarity than any other source I’ve found. Carefuly study p. 9-14 or so. The only criticism I have of their style is that they don’t use the hat symbol to differentiate a parameter estimate from the symbol that represents the true value. So if you compare what I write with what they write, you see I try to differentiate β̂ ...

Topic 3: ANOVA, Regression, and Forecasting

Functional ANOVA Models for Generalized Regression

Functional ANOVA models are considered in the context of generalized regression, which includes logistic regression, probit regression and Poisson regression as special cases. The multivariate predictor function is modeled as a speci ed sum of a constant term, main e ects and interaction terms. Maximum likelihood estimates are used, where the maximizations are taken over suitably chosen approxi...

Permutation versus Bootstrap Significance Tests in Multiple Regression and Anova

Kempthorne's (1952) formulation of the randomization test is extended to yield a permutational analog of the bootstrap significance test. In the new test, residuals of a multiple regression are permuted instead of being bootstrapped. The test is an attractive alternative for Oja's test that permutes predictors (Austr. J.

the relationship between learners critical thinking ability and their performance in the reading sections of the tofel and ielts test

the study reflected in this thesis aims at finding out relationships between critical thinking (ct), and the reading sections of tofel and ielts tests. the study tries to find any relationships between the ct ability of students and their performance on reading tests of tofel and academic ielts. however, no research has ever been conducted to investigate the relationship between ct and the read...