Number of predictors and multicollinearity: What are their effects on error and bias in regression?

The present Monte Carlo simulation study adds to the literature by analyzing parameter bias, rates of Type I and Type II error, and variance inflation factor (VIF) values produced under various multicollinearity conditions by multiple regressions with two, four, and six predictors. Findings indicate...

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Vydáno v:Communications in statistics. Simulation and computation Ročník 48; číslo 1; s. 27 - 38
Hlavní autoři: Lavery, Matthew Ryan, Acharya, Parul, Sivo, Stephen A., Xu, Lihua
Médium: Journal Article
Jazyk:angličtina
Vydáno: Philadelphia Taylor & Francis 02.01.2019
Taylor & Francis Ltd
Témata:
Bias
Collinearity
Computer simulation
Error analysis
Monte Carlo simulation
Monte Carlo simulation study
Multicollinearity
Multiple regression
Parameters
Regression analysis
Statistical methods
ISSN:0361-0918, 1532-4141
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Shrnutí:The present Monte Carlo simulation study adds to the literature by analyzing parameter bias, rates of Type I and Type II error, and variance inflation factor (VIF) values produced under various multicollinearity conditions by multiple regressions with two, four, and six predictors. Findings indicate multicollinearity is unrelated to Type I error, but increases Type II error. Investigation of bias suggests that multicollinearity increases the variability in parameter bias, while leading to overall underestimation of parameters. Collinearity also increases VIF. In the case of all diagnostics however, increasing the number of predictors interacts with multicollinearity to compound observed problems.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2017.1371750