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Open AccessJournal ArticleDOI

Multicollinearity and Regression Analysis

TLDR
In this article, the authors focus on the multicollinearity, reasons and consequences on the reliability of the regression model, and propose a regression model with two or more predictors.
Abstract
In regression analysis it is obvious to have a correlation between the response and predictor(s), but having correlation among predictors is something undesired. The number of predictors included in the regression model depends on many factors among which, historical data, experience, etc. At the end selection of most important predictors is something objective due to the researcher. Multicollinearity is a phenomena when two or more predictors are correlated, if this happens, the standard error of the coefficients will increase [8]. Increased standard errors means that the coefficients for some or all independent variables may be found to be significantly different from In other words, by overinflating the standard errors, multicollinearity makes some variables statistically insignificant when they should be significant. In this paper we focus on the multicollinearity, reasons and consequences on the reliability of the regression model.

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Citations
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The impact of innovation and technology investments on carbon emissions in selected organisation for economic Co-operation and development countries

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Effect of thermal comfort on occupant productivity in office buildings: Response surface analysis

TL;DR: In this paper, an experimental study was conducted by collecting indoor environmental quality parameters using sensors and online survey for twelve months, and data analysis was done using Response Surface Analysis to outline any mathematical relationship between indoor Environmental Quality and occupant productivity, which confirmed dependencies of occupant thermal comfort and productivity on various indoor environmental factors.
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Effects of land cover, topography, and soil on stream water quality at multiple spatial and seasonal scales in a German lowland catchment

TL;DR: In this paper, the authors quantified effects on stream water quality in summer and winter between 1992 and 2019 at multiple spatial scales in the upper Stor catchment, Germany and applied multivariate statistical analyses on three scales: the catchments, riparian, and reach scale.
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Evaluation efficiency of hybrid deep learning algorithms with neural network decision tree and boosting methods for predicting groundwater potential

TL;DR: Delineation of the groundwater’s potential zones is a growing phenomenon worldwide due to the high demand for fresh groundwater, and the identification of potential groundwater zones is an important step in this process.
References
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Book

Pattern Recognition with Fuzzy Objective Function Algorithms

TL;DR: Books, as a source that may involve the facts, opinion, literature, religion, and many others are the great friends to join with, becomes what you need to get.
Book

Applied Regression Analysis and Other Multivariable Methods

TL;DR: In this article, the authors compare two straight line regression models and conclude that the Straight Line Regression Equation does not measure the strength of the Straight-line Relationship, but instead is a measure of the relationship between two straight lines.
Book

An introduction to categorical data analysis

Alan Agresti
TL;DR: In this paper, the authors present a tour of categorical data analysis for Contingency Tables and Logit and Loglinear models for contingency tables, as well as generalized linear models for Matched Pairs.
Journal ArticleDOI

A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters

J. C. Dunn
TL;DR: Two fuzzy versions of the k-means optimal, least squared error partitioning problem are formulated for finite subsets X of a general inner product space; in both cases, the extremizing solutions are shown to be fixed points of a certain operator T on the class of fuzzy, k-partitions of X, and simple iteration of T provides an algorithm which has the descent property relative to the least squarederror criterion function.
Book

Introduction to Linear Regression Analysis

TL;DR: In this paper, the authors propose a simple linear regression model with variable selection and multicollinearity for robust regression, and validate the model using regression analysis and validation of regression models.
Related Papers (5)
Trending Questions (3)
What is multicollinearity tes?

The paper does not provide information about a specific multicollinearity test.

Can multicollinearity be included in the equation??

No, multicollinearity is something undesired in regression analysis as it leads to increased standard errors and makes some variables statistically insignificant.