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Comparing Methods of Estimating Missing Values in One-Way Analysis of Variance

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Comparing Methods of Estimating Missing Values in One-Way Analysis of Variance


Eze, Francis Chkwuemeka | Chukwunenye, Victor Gozie

https://doi.org/10.31142/ijtsrd18599



Eze, Francis Chkwuemeka | Chukwunenye, Victor Gozie "Comparing Methods of Estimating Missing Values in One-Way Analysis of Variance" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-2, February 2019, pp.994-1000, URL: https://www.ijtsrd.com/papers/ijtsrd18599.pdf

It is obvious that the treatment of missing data has been an issue in statistics for some time now, and hence has started gaining the attention of researchers. This paper established the various methods usable in estimating missing values, determined which of the methods is the best in estimating missing values in one–way analysis of variance (ANOVA), determined at which percentage level of Missingness is the method best and verified the effect of missing values on the statistical power and non–centrality parameters in one–way ANOVA. The methods examined are Pairwise Deletion (PD), Mean Substitution (MS), Regression Estimation (RE), Multiple Imputation (MI) and Expectation Maximization (EM). Mean Square Errors (MSEs), that is variances of the methods were compared. It was found that MS had the least variance at 5, 10, 15, and 25 percent levels of Missingness while EM had the least variance at 20 percent Missingness level. PD method yielded the least statistical power at all the percentage levels of Missingness. Non–centrality parameters increased with increasing percentage level of Missingness and it was also found that at 25 percent level of Missingness (after 20 percent), the statistical power started to reduce. EM method was recommended since MS yielded the least MSEs because of its limitations. Meanwhile PD should not be an option while dealing with missing data in one – way ANOVA due to loss of statistical power and possibly increased MSE.

Pairwise deletion; Mean Substitution; Regression Estimation; Multiple Imputation; Expectation Maximization


IJTSRD18599
Volume-3 | Issue-2, February 2019
994-1000
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470
Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

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