A review of the development and application of recursive residuals in linear models

F Kianifard, WH Swallow - Journal of the American Statistical …, 1996 - Taylor & Francis
Recursive residuals have been shown to be useful in a variety of applications in linear
models. Unlike the more familiar ordinary least squares residuals or studentized residuals …

A review of robust regression and diagnostic procedures in linear regression

NK Jajo - Acta Mathematicae Applicatae Sinica, 2005 - Springer
The concern over outliers is old since Bernoulli (see [12]), reviewed historically by [11] and
updated with [10] in their encyclopedia textbook. James et al.[46] used simulation technique …

[图书][B] Linear models: The theory and application of analysis of variance

BR Clarke - 2008 - books.google.com
An insightful approach to the analysis of variance in the study of linear models Linear
Models explores the theory of linear models and the dynamic relationships that these …

Exact testing for heteroscedasticity in a two‐way layout in variety frost trials when incorporating a covariate

AA Pilkington, BR Clarke… - Australian & New …, 2023 - Wiley Online Library
Two‐way layouts are common in grain industry research where it is often the case that there
are one or more covariates. It is widely recognised that when estimating fixed effect …

The specification of rank reducing observation sets in experimental design

JD Godolphin - Computational statistics & data analysis, 2006 - Elsevier
If observations are lost from an experiment involving one or more forms of blocking, it can
happen that the resultant design is treatment disconnected which has serious implications …

[PDF][PDF] Some inferential questions in regard to analysing two-way Layouts and associated linear model theory and practice

B Clarke, A Monaco - Discussiones Mathematicae Probability and …, 2004 - pldml.icm.edu.pl
In analysing a well known data set from the literature which can be thought of as a two-way
layout it transpires that a robust adaptive regression approach for identifying outliers fails to …

[PDF][PDF] A bibliography on variance components–An introduction and update: 1984-2002

H Sahai, A Khurshid - Statistica Applicata: Italian Journal of Applied …, 2005 - academia.edu
The variability among data may have quite complex structure and the splitting of variation
into its individual components is important in many areas of applications. In particular, the …

A representation of orthogonal components in analysis of variance

BR Clarke - International Mathematical Journal, 2002 - researchportal.murdoch.edu.au
The history of orthogonal components in the analysis of variance and of the Helmert
transformation is allied to more recent mathematical representations of Kronecker products …

New formulations for recursive residuals as a diagnostic tool in the fixed-effects linear model with design matrices of arbitrary rank

JD Godolphin - Computational statistics & data analysis, 2009 - Elsevier
The use of residuals for detecting departures from the assumptions of the linear model with
full-rank covariance, whether the design matrix is full rank or not, has long been recognized …

[PDF][PDF] Tests for heteroscedasticity in two-way layouts incorporating a covariate applicable to agricultural frost trials

AA Pilkington - 2020 - researchportal.murdoch.edu.au
The economic impact of frost upon the Australian grains industry is significant. This has lead
to the establishment of research programs, such as the Australian National Frost Program …