ANOVA under Unequal Error Variances

Weerahandi, Samaradasa

doi:10.2307/2532947

Cited by 159 publications

(73 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The parameter settings we used are the same as in Wu et al [4]: the sample sizes were set as (n 1 , n 2 ) = (5, 5), (5, 10), (10,10), population means were set as ( 1 , 2 ) = (2, 1), and took values as (0.25, 0.5, 0.75, 1, 2, 5). For each parameter setting, 10 000 random samples were generated, and within each of the 10 000 random samples, 5000 R 's were obtained using the algorithm presented in Section 2.2.…”

Section: Single Standardized Mean Differencementioning

confidence: 99%

Inferences on standardized mean difference: the generalized variable approach

Tian

2006

Statistics in Medicine

View full text Add to dashboard Cite

The standardized mean difference has been widely used as the most common index of effect magnitude in many applied fields. In this paper, we propose a novel approach using the concept of generalized variable for the confidence interval estimation and hypothesis testing of standardized mean difference. Furthermore, we extend this approach to compare standardized mean differences between two studies or between two strata. Simulation results demonstrate that the proposed approach can provide confidence intervals with excellent coverage properties and can perform hypothesis testing with satisfactory type-I error control.

show abstract

Section: Single Standardized Mean Differencementioning

confidence: 99%

Inferences on standardized mean difference: the generalized variable approach

Tian

2006

Statistics in Medicine

View full text Add to dashboard Cite

show abstract

“…Bu durumda klasik F testinin kullanılması uygun değildir. Bu amaçla literatürde yığın varyansları homojen olmadığı zaman normal dağılıma sahip k sayıda yığınların ortalamasının eşitliği için birçok test geliştirilmiştir [2][3][4][5][6][7].…”

Section: Introductionunclassified

Varyansların Homojenliği için Kullanılan Yeniden Örneklemeye Dayalı Testler ve Simülasyon Çalışması

Gökpınar¹

2017

SDÜ Fen Bil Enst Der

View full text Add to dashboard Cite

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.

show abstract

“…The concepts of generalized CI and generalized p-value have been widely applied to a variety of practical settings where standard methods are failed to produce satisfactory results. For example, see Weerahandi (1991Weerahandi ( , 1995b, Weerahandi and Johnson (1992), Zhou and Mathew (1994), Weerahandi and Berger (1999), Krishnamoorthy and Mathew (2003), Krishnamoorthy and Lu (2003), McNally et al (2003) and Iyer et al (2004). For a recipe of constructing generalized pivotal quantities (GPQs), see Iyer and Patterson (2002).…”

Section: Introductionmentioning

confidence: 99%

Inferences on the difference and ratio of the means of two inverse Gaussian distributions

Krishnamoorthy

Tian

2008

Journal of Statistical Planning and Inference

View full text Add to dashboard Cite

Methods for interval estimation and hypothesis testing about the ratio of two independent inverse Gaussian (IG) means based on the concept of generalized variable approach are proposed. As assessed by simulation, the coverage probabilities of the proposed approach are found to be very close to the nominal level even for small samples. The proposed new approaches are conceptually simple and are easy to use. Similar procedures are developed for constructing confidence intervals and hypothesis testing about the difference between two independent IG means. Monte Carlo comparison studies show that the results based on the generalized variable approach are as good as those based on the modified likelihood ratio test. The methods are illustrated using two examples.

show abstract

ANOVA under Unequal Error Variances

Cited by 159 publications

References 17 publications

Inferences on standardized mean difference: the generalized variable approach

Inferences on standardized mean difference: the generalized variable approach

Varyansların Homojenliği için Kullanılan Yeniden Örneklemeye Dayalı Testler ve Simülasyon Çalışması

Inferences on the difference and ratio of the means of two inverse Gaussian distributions

Contact Info

Product

Resources

About