Testing equality of variances for several normal populations

Gökpınar, Esra; Gökpinar, Fikri

doi:10.1080/03610918.2014.955110

Cited by 9 publications

(7 citation statements)

References 15 publications

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“…Gökpınar ve Gökpınar [30] tarafından parametrik bootstrap yöntemine dayalı test istatistiği önerilmiştir. Denklem 6'da verilen H0 hipotezini, …”

Section: Parametrik Bootstrap Yöntemine Dayalı Bir Test (Test-2)unclassified

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Varyansların Homojenliği için Kullanılan Yeniden Örneklemeye Dayalı Testler ve Simülasyon Çalışması

Gökpınar¹

2017

SDÜ Fen Bil Enst Der

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Anahtar KelimelerVaryans homojenliği, Yeniden örnekleme, Simülasyon çalışması Özet: Bu çalışmada normal dağılıma sahip k sayıda yığının varyans homojenliği testi üzerinde durulmuş ve son yıllarda yaygın olarak kullanılan yeniden örnekleme yöntemlerine dayalı testler incelenmiştir. Simülasyon çalışmasında testlerin performansını belirlemek amacıyla tüm testler deneysel I. tip hata oranı ve güç bakımından karşılaştırılmıştır. Bu amaçla farklı grup sayısı, farklı örnek çapı ve farklı yığın varyansları alınarak bir simülasyon çalışması yapılmış ve sonuçları yorumlanmıştır. Resampling Based Tests for the Equality of Variances and Simulation Study Keywords The equality of variances, Resampling methods, Monte CarloAbstract: In this study, we were interested in testing the equality of variances of k normal populations and examined commonly used resampling based tests. In simulation study, all the tests were compared in terms of type I error rate and power to assess the performance of tests. For this purpose, by using different combination of sample sizes, number of groups and population variances comprehensive simulation study was presented and simulation results were interpreted.

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“…Gökpınar ve Gökpınar [30] tarafından parametrik bootstrap yöntemine dayalı test istatistiği önerilmiştir. Denklem 6'da verilen H0 hipotezini, …”

Section: Parametrik Bootstrap Yöntemine Dayalı Bir Test (Test-2)unclassified

“…Bu yöntemlerin bazı önemli avantajları vardır. Bunlardan önemlilerinden [30], CAT yöntemine dayalı olan bir parametrik bootstrap yöntemi önermişlerdir. Ayrıca Chang vd.…”

Section: Introductionunclassified

Varyansların Homojenliği için Kullanılan Yeniden Örneklemeye Dayalı Testler ve Simülasyon Çalışması

Gökpınar¹

2017

SDÜ Fen Bil Enst Der

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“…Liu and Xu [23] proposed a test, using the generalized p value approach, and compared it with the Bartlett test. For homogeneity of variances, Gökpınar and Gökpınar [16] proposed a test statistic based on computational approach test (CAT) which is a special case of parametric bootstrap. The CAT method based on simulation and numerical computations uses the maximum likelihood estimates (MLEs), and does not require the knowledge of any sampling distribution.…”

Section: Introductionmentioning

confidence: 99%

“…The CAT method based on simulation and numerical computations uses the maximum likelihood estimates (MLEs), and does not require the knowledge of any sampling distribution. Some papers regarding the CAT are given as Chang and Pal [8], Chang et al [7][8][9], Gökpınar and Gökpınar [13,16,17], Gökpınar et al [14], Mutlu et al [24], etc. The likelihood ratio test (LRT) for homogeneity of variances performs poorly with respect to the type I error rate.…”

Section: Introductionmentioning

confidence: 99%

Standardized likelihood ratio test for homogeneity of variance of several normal populations

Gökpınar

2020

Communications in Statistics - Simulation and Computation

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In this article, standardized likelihood ratio test is proposed for the homogeneity of variances under normality. The proposed method was compared with some of the existing methods via Monte Carlo simulation for various parameter combinations, different group sizes and sample sizes in terms of type I error rate and power of test. According to numeric results, the proposed method performs quite well according to its alternatives.

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“…The main idea behind the O'Brien test is to transform the original scores so that the transformed scores reflect the variation of the original scores. Recently, Gokpinar and Gokpinar (2017), Chang et al (2017) and Jayalath et al (2017) considered some improvements of the tests reviewed in the above in terms of power and achieving the significance level. Especially, Gokpinar and Gokpinar (2017) and Jayalath et al (2017) have tried to apply the bootstrap method.…”

Section: Introductionmentioning

confidence: 99%

Tests of equality of several variances with the likelihood ratio principle

Park

2018

CSAM

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In this study, we propose tests for equality of several variances with the normality assumption. First of all, we propose the likelihood ratio test by applying the permutation principle. Then by using the p-values for the pairwise tests between variances and combination functions, we propose combination tests. We apply the permutation principle to obtain the overall p-values. Also we review the well-known test statistics for the completion of our discussion and modify a statistic with the p-values. Then we illustrate proposed tests by numerical and simulated data and compare their efficiency with the reviewed ones through a simulation study by obtaining empirical p-values. Finally, we discuss some interesting features related to the resampling methods and tests for equality among several variances.

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Testing equality of variances for several normal populations

Cited by 9 publications

References 15 publications

Varyansların Homojenliği için Kullanılan Yeniden Örneklemeye Dayalı Testler ve Simülasyon Çalışması

Varyansların Homojenliği için Kullanılan Yeniden Örneklemeye Dayalı Testler ve Simülasyon Çalışması

Standardized likelihood ratio test for homogeneity of variance of several normal populations

Tests of equality of several variances with the likelihood ratio principle

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