2006
DOI: 10.1198/016214505000000637
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Global Validation of Linear Model Assumptions

Abstract: An easy-to-implement global procedure for testing the four assumptions of the linear model is proposed. The test can be viewed as a Neyman smooth test and it only relies on the standardized residual vector. If the global procedure indicates a violation of at least one of the assumptions, the components of the global test statistic can be utilized to gain insights into which assumptions have been violated. The procedure can also be used in conjunction with associated deletion statistics to detect unusual observ… Show more

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Cited by 403 publications
(303 citation statements)
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“…For each model, regression assumptions were evaluated using a global validation procedure. 26 To meet regression assumptions, pregnancy values of IL-10, TNF-a, and CRP required a log transformation. Pregnancy values of IL-6 satisfied all regression assumptions.…”
Section: Discussionmentioning
confidence: 99%
“…For each model, regression assumptions were evaluated using a global validation procedure. 26 To meet regression assumptions, pregnancy values of IL-10, TNF-a, and CRP required a log transformation. Pregnancy values of IL-6 satisfied all regression assumptions.…”
Section: Discussionmentioning
confidence: 99%
“…The distances from the coast of walrus migrations routes drawn at different map scales (objective 4) were compared using a non-parametric Wilcoxon test. The package gvlma (global validation of the linear model assumptions) was used to confirm that the models' assumptions were respected (Pena and Slate 2006). For each explanatory variable (also called independent variable) the degree of freedom (df), the Fisher value (F) and p value (p) were reported.…”
Section: Statistical Analysesmentioning
confidence: 99%
“…Comparison of different models for the same response variable(s) was done using ANOVA. Data analysis was conducted in program R v. 3.0.1 (R Core Team 2013) using package "gvlma" (Pena and Slate 2012).…”
Section: Discussionmentioning
confidence: 99%