Empirical Type 1 Error Rate and Power Comparisons of Normality Tests with R

Ahmet Pekgör; Murat Erişoğlu; Aydın Karakoca; Ülkü Erişoğlu

doi:10.17776/csj.426382

EN TR

Empirical Type 1 Error Rate and Power Comparisons of Normality Tests with R

Abstract

Normality is one of the main presuppositions in statistical tests. The multiplicity of the normality tests bring out another problem of choosing the appropriate test for researchers. The free software R which has a great popularity in the statistical analysis has 18 normality tests in 4 different packages. In this study we compared performance of these normality tests in terms of empirical type 1 error rate and power by Monte Carlo simulation. As a result, regardless of the distribution of data (symetric or asymmetric) the Shapiro-Francia test, also the Frosini B test performed better than the other normality tests in terms of experimental type 1 error rate. However the widely used Kolmogorov-Smirnov test showed worse performance than other normality tests in terms of empirical type 1 error rate and power.

Keywords

Normality tests,R,Empirical type 1 error rate,Power of test

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ahmet Pekgör
Türkiye

Murat Erişoğlu
Türkiye

Aydın Karakoca This is me
0000-0001-6503-3872
Türkiye

Ülkü Erişoğlu
Türkiye

Publication Date

September 30, 2018

Submission Date

May 23, 2018

Acceptance Date

September 3, 2018

Published in Issue

Year 2018 Volume: 39 Number: 3

DOI

https://doi.org/10.17776/csj.426382

IZ

https://izlik.org/JA77AH27BH

APA

Pekgör, A., Erişoğlu, M., Karakoca, A., & Erişoğlu, Ü. (2018). Empirical Type 1 Error Rate and Power Comparisons of Normality Tests with R. Cumhuriyet Science Journal, 39(3), 799-811. https://doi.org/10.17776/csj.426382

AMA

1.Pekgör A, Erişoğlu M, Karakoca A, Erişoğlu Ü. Empirical Type 1 Error Rate and Power Comparisons of Normality Tests with R. CSJ. 2018;39(3):799-811. doi:10.17776/csj.426382

Chicago

Pekgör, Ahmet, Murat Erişoğlu, Aydın Karakoca, and Ülkü Erişoğlu. 2018. “Empirical Type 1 Error Rate and Power Comparisons of Normality Tests With R”. Cumhuriyet Science Journal 39 (3): 799-811. https://doi.org/10.17776/csj.426382.

EndNote

Pekgör A, Erişoğlu M, Karakoca A, Erişoğlu Ü (September 1, 2018) Empirical Type 1 Error Rate and Power Comparisons of Normality Tests with R. Cumhuriyet Science Journal 39 3 799–811.

IEEE

[1]A. Pekgör, M. Erişoğlu, A. Karakoca, and Ü. Erişoğlu, “Empirical Type 1 Error Rate and Power Comparisons of Normality Tests with R”, CSJ, vol. 39, no. 3, pp. 799–811, Sept. 2018, doi: 10.17776/csj.426382.

ISNAD

Pekgör, Ahmet - Erişoğlu, Murat - Karakoca, Aydın - Erişoğlu, Ülkü. “Empirical Type 1 Error Rate and Power Comparisons of Normality Tests With R”. Cumhuriyet Science Journal 39/3 (September 1, 2018): 799-811. https://doi.org/10.17776/csj.426382.

JAMA

1.Pekgör A, Erişoğlu M, Karakoca A, Erişoğlu Ü. Empirical Type 1 Error Rate and Power Comparisons of Normality Tests with R. CSJ. 2018;39:799–811.

MLA

Pekgör, Ahmet, et al. “Empirical Type 1 Error Rate and Power Comparisons of Normality Tests With R”. Cumhuriyet Science Journal, vol. 39, no. 3, Sept. 2018, pp. 799-11, doi:10.17776/csj.426382.

Vancouver

1.Ahmet Pekgör, Murat Erişoğlu, Aydın Karakoca, Ülkü Erişoğlu. Empirical Type 1 Error Rate and Power Comparisons of Normality Tests with R. CSJ. 2018 Sep. 1;39(3):799-811. doi:10.17776/csj.426382

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Empirical Type 1 Error Rate and Power Comparisons of Normality Tests with R

Empirical Type 1 Error Rate and Power Comparisons of Normality Tests with R

Abstract

Keywords

R ile Normallik Testlerinin Deneysel 1. Tip Hata Oranı ve Güç Karşılaştırması

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