2020
DOI: 10.3390/econometrics8010010
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Mahalanobis Distances on Factor Model Based Estimation

Abstract: A factor model based covariance matrix is used to build a new form of Mahalanobis distance. The distribution and relative properties of the new Mahalanobis distances are derived. A new type of Mahalanobis distance based on the separated part of the factor model is defined. Contamination effects of outliers detected by the new defined Mahalanobis distances are also investigated. An empirical example indicates that the new proposed separated type of Mahalanobis distances predominate the original sample Mahalanob… Show more

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Cited by 5 publications
(2 citation statements)
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References 18 publications
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“…Since the data were on a Likert scale, the normality assumption was assumed to be observed. The multivariate outliers were examined using the Mahalanobis Distances at probability values of less than .001 to the right-tail of the chi-square distribution (Dai, 2020). 58 cases reported the Mahalanobis distance of more than 90.57866 with the probability of less than 0.001, hence they were treated as outliers.…”
Section: Resultsmentioning
confidence: 99%
“…Since the data were on a Likert scale, the normality assumption was assumed to be observed. The multivariate outliers were examined using the Mahalanobis Distances at probability values of less than .001 to the right-tail of the chi-square distribution (Dai, 2020). 58 cases reported the Mahalanobis distance of more than 90.57866 with the probability of less than 0.001, hence they were treated as outliers.…”
Section: Resultsmentioning
confidence: 99%
“…There were no suspicious response patterns, nor missing data in the questions related to the variables and outliers. The outlier analysis was performed using the Mahalanobis distance, which is one of the most used approaches for outlier detection, mainly in multivariate data (Dai, 2020). Therefore, the final sample consisted of 139 responses from professionals from service companies from different sectors.…”
Section: Methodsmentioning
confidence: 99%