ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS

Demet Aydın; Birdal Şenoğlu

ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS

Abstract

In practice, missing values are widely seen and create serious problems in almost all statistical analysis. In this study, to deal with missing values, we propose estimators for missing value in one-way analysis of variance (ANOVA) when the distribution of error terms is long-tailed symmetric (LTS). We use methodologies known as maximum likelihood (ML), modified maximum likelihood (MML) and least squares (LS) in estimating missing value. Expectation and maximization (EM) algorithm is used for computing ML estimate of missing value. We compare the efficiencies of LS, ML and MML estimators of missing value via Monte Carlo simulation study. Simulation results show that ML estimator of missing value is the most efficient among the others. The usefulness of the proposed estimators is illustrated by peak discharge data example taken from civil engineering.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Demet Aydın This is me
0000-0002-3491-8392
Türkiye

Birdal Şenoğlu This is me
0000-0003-3707-2393
Türkiye

Publication Date

June 1, 2018

Submission Date

June 15, 2017

Acceptance Date

February 13, 2018

Published in Issue

Year 2018 Volume: 36 Number: 2

IZ

https://izlik.org/JA64XX33PF

Cite

RIS / Bibtex

APA

Aydın, D., & Şenoğlu, B. (2018). ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS. Sigma Journal of Engineering and Natural Sciences, 36(2), 523-538. https://izlik.org/JA64XX33PF

AMA

1.Aydın D, Şenoğlu B. ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS. SIGMA. 2018;36(2):523-538. https://izlik.org/JA64XX33PF

Chicago

Aydın, Demet, and Birdal Şenoğlu. 2018. “ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS”. Sigma Journal of Engineering and Natural Sciences 36 (2): 523-38. https://izlik.org/JA64XX33PF.

EndNote

Aydın D, Şenoğlu B (June 1, 2018) ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS. Sigma Journal of Engineering and Natural Sciences 36 2 523–538.

IEEE

[1]D. Aydın and B. Şenoğlu, “ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS”, SIGMA, vol. 36, no. 2, pp. 523–538, June 2018, [Online]. Available: https://izlik.org/JA64XX33PF

ISNAD

Aydın, Demet - Şenoğlu, Birdal. “ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS”. Sigma Journal of Engineering and Natural Sciences 36/2 (June 1, 2018): 523-538. https://izlik.org/JA64XX33PF.

JAMA

1.Aydın D, Şenoğlu B. ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS. SIGMA. 2018;36:523–538.

MLA

Aydın, Demet, and Birdal Şenoğlu. “ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS”. Sigma Journal of Engineering and Natural Sciences, vol. 36, no. 2, June 2018, pp. 523-38, https://izlik.org/JA64XX33PF.

Vancouver

1.Demet Aydın, Birdal Şenoğlu. ESTIMATING THE MISSING VALUE IN ONE-WAY ANOVA UNDER LONG-TAILED SYMMETRIC ERROR DISTRIBUTIONS. SIGMA [Internet]. 2018 Jun. 1;36(2):523-38. Available from: https://izlik.org/JA64XX33PF