Title
The effect of normality and outliers on bivariate correlation coefficients in psychology: A Monte Carlo simulation
Date Issued
01 January 2022
Access level
metadata only access
Resource Type
journal article
Author(s)
Publisher(s)
Routledge
Abstract
This study aims to examine the effects of the underlying population distribution (normal, non-normal) and OLs on the magnitude of Pearson, Spearman and Pearson Winzorized correlation coefficients through Monte Carlo simulation. The study is conducted using Monte Carlo simulation methodology, with sample sizes of 50, 100, 250, 250, 500 and 1000 observations. Each, underlying population correlations of 0.12, 0.20, 0.31 and 0.50 under conditions of bivariate Normality, bivariate Normality with Outliers (discordant, contaminants) and Non-normal with different values of skewness and kurtosis. The results show that outliers have a greater effect compared to the data distributions; specifically, a substantial effect occurs in Pearson and a smaller one in Spearman and Pearson Winzorized. Additionally, the outliers are shown to have an impact on the assessment of bivariate normality using Mardia’s test and problems with decisions based on skewness and kurtosis for univariate normality. Implications of the results obtained are discussed.
Volume
150
Issue
4
Language
English
OCDE Knowledge area
Psicología (incluye terapias de aprendizaje, habla, visual y otras discapacidades físicas y mentales)
Subjects
Scopus EID
2-s2.0-85133505380
PubMed ID
Source
Journal of General Psychology
ISSN of the container
00221309
Sources of information:
Directorio de Producción Científica
Scopus