Nonparametric multiple comparison procedures for unbalanced one-way factorial designs

Gao, Xin; Alvo, Mayer; Chen, Jie; Li, Gang

doi:10.1016/j.jspi.2007.10.015

Cited by 80 publications

(74 citation statements)

References 32 publications

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“…-no significant differences; , means sharing the same capital letter(s) within a row were not significantly different at P ≤ 0.05. The Kruskal-Wallis non-parametric one-way ANOVA by ranks and the non-parametric multiple test for all-pairs comparisons with Bonferroni correction described by GAO et al (2008) were applied. To non-parametrically compare two samples, the Wilcoxon rank-sum test was used.…”

Section: Resultsmentioning

confidence: 99%

“…All the multiple comparisons were performed using the one-way ANOVA ('treatment' or 'storage period') followed by the Tukey's HSD or Scheffe's tests to distinguish mean differences while mean differences between samples were tested by the Student's t-test. Data for the length of proliferated shoots were analysed by the Kruskal-Wallis non-parametric one-way ANOVA by ranks and the non-parametric multiple test for all-pairs comparisons with Bonferroni correction described by Gao et al (2008) was applied. To non-parametrically compare two samples, we used the Wilcoxon rank-sum test.…”

Section: Methodsmentioning

confidence: 99%

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In vitro storage of plum germplasm by slow growth

Giannì¹,

Sottile²

2015

Hortic. Sci.

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Gianní S., Sottile F. (2015): In vitro storage of plum germplasm by slow growth. Hort. Sci. (Prague), 42: 61-69.In this study, in vitro slow growth storage was investigated in four cultivars of two Sicilian (Southern Italy) plum species (Prunus domestica L. and Prunus cerasifera Ehrh. -two genotypes each). Established shoot cultures were preserved at 4°C in the dark in a Murashige and Skoog basal medium containing one of two different concentrations of sucrose (20 and 30 g/l) and with or without growth regulators. We tested the effects of cold storage, genotype and media on survival and re-growth capacity of explants after 3, 6, 9 and 12 months of storage. Effective minimal growth under cold conditions occurred in all four genotypes. The media composition did not affect survival, which, instead, appeared to be genotype-dependent. P. domestica genotypes survived cold storage the longest, for 12 and 9 months; instead, P. cerasifera ones remained viable for up to 6 months. All genotypes retained proliferation capacity under standard conditions and their re-growth capacity seems to be strongly genotype-dependent, closely related to their individual performance in response to the experimental condition of storage.

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Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

In vitro storage of plum germplasm by slow growth

Giannì¹,

Sottile²

2015

Hortic. Sci.

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“…It follows with the same arguments by Gao and Alvo, 27 Gao et al, 28 and Brunner and Munzel 29 that the distribution of T can be approximated by a multivariate T( , 0,R)-distribution, with = min{ (1) , … , (q) } degrees of freedom, where…”

Section: Small Sample Size Approximations and Simulation Resultsmentioning

confidence: 68%

“…Fisher-transformed MCTP given in (16) using either multivariate normal or multivariate t approximation given in (24) as described in (27). Data were generated as described in Setting 2 in (26) Fisher-transformed MCTP given in (16) using either multivariate normal or multivariate t approximation given in (24) as described in (27).…”

Section: Appendix B: Simulation Resultsmentioning

confidence: 99%

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Simultaneous inference for factorial multireader diagnostic trials

Konietschke

Aguayo

Staab

2017

Statistics in Medicine

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We study inference methods for the analysis of multireader diagnostic trials. In these studies, data are usually collected in terms of a factorial design involving the factors Modality and Reader. Furthermore, repeated measures appear in a natural way since the same patient is observed under different modalities by several readers and the repeated measures may have a quite involved dependency structure. The hypotheses are formulated in terms of the areas under the ROC curves. Currently, only global testing procedures exist for the analysis of such data. We derive rank-based multiple contrast test procedures and simultaneous confidence intervals which take the correlation between the test statistics into account. The procedures allow for testing arbitrary multiple hypotheses. Extensive simulation studies show that the new approaches control the nominal type 1 error rate very satisfactorily. A real data set illustrates the application of the proposed methods.

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Permutation‐based inference for the AUC: A unified approach for continuous and discontinuous data

2016

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We investigate rank-based studentized permutation methods for the nonparametric Behrens-Fisher problem, that is, inference methods for the area under the ROC curve. We hereby prove that the studentized permutation distribution of the Brunner-Munzel rank statistic is asymptotically standard normal, even under the alternative. Thus, incidentally providing the hitherto missing theoretical foundation for the Neubert and Brunner studentized permutation test. In particular, we do not only show its consistency, but also that confidence intervals for the underlying treatment effects can be computed by inverting this permutation test. In addition, we derive permutation-based range-preserving confidence intervals. Extensive simulation studies show that the permutation-based confidence intervals appear to maintain the preassigned coverage probability quite accurately (even for rather small sample sizes). For a convenient application of the proposed methods, a freely available software package for the statistical software R has been developed. A real data example illustrates the application.

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Nonparametric multiple comparison procedures for unbalanced one-way factorial designs

Cited by 80 publications

References 32 publications

In vitro storage of plum germplasm by slow growth

In vitro storage of plum germplasm by slow growth

Simultaneous inference for factorial multireader diagnostic trials

Permutation‐based inference for the AUC: A unified approach for continuous and discontinuous data

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