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An extension of the Williams trend test to general unbalanced linear models

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  • Bretz, Frank

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  • Bretz, Frank, 2006. "An extension of the Williams trend test to general unbalanced linear models," Computational Statistics & Data Analysis, Elsevier, vol. 50(7), pages 1735-1748, April.
    • Handle: RePEc:eee:csdana:v:50:y:2006:i:7:p:1735-1748
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    References listed on IDEAS

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    1. D. A. Williams, 1988. "Tests for Differences between Several Small Proportions," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(3), pages 421-434, November.
    2. Kotz,Samuel & Nadarajah,Saralees, 2004. "Multivariate T-Distributions and Their Applications," Cambridge Books, Cambridge University Press, number 9780521826549, October.
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    Cited by:

    1. Mondal, Anjana & Sattler, Paavo & Kumar, Somesh, 2023. "Testing against ordered alternatives in a two-way model without interaction under heteroscedasticity," Journal of Multivariate Analysis, Elsevier, vol. 196(C).
    2. Mondal, Anjana & Kumar, Somesh, 2024. "Inference on order restricted means of inverse Gaussian populations under heteroscedasticity," Computational Statistics & Data Analysis, Elsevier, vol. 194(C).
    3. Philip Pallmann & Ludwig Hothorn & Gemechis Djira, 2014. "A Levene-type test of homogeneity of variances against ordered alternatives," Computational Statistics, Springer, vol. 29(6), pages 1593-1608, December.
    4. Philip Pallmann & Ludwig A. Hothorn, 2016. "Analysis of means: a generalized approach using R," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(8), pages 1541-1560, June.
    5. Hasler Mario, 2013. "Multiple Contrasts for Repeated Measures," The International Journal of Biostatistics, De Gruyter, vol. 9(1), pages 49-61, July.
    6. Bogomolov, Marina & Davidov, Ori, 2019. "Order restricted univariate and multivariate inference with adjustment for covariates in partially linear models," Computational Statistics & Data Analysis, Elsevier, vol. 133(C), pages 20-27.
    7. Anjana Mondal & Markus Pauly & Somesh Kumar, 2024. "Testing against ordered alternatives in one-way ANOVA model with exponential errors," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 76(4), pages 649-678, August.
    8. Kitsche, A. & Hothorn, L.A. & Schaarschmidt, F., 2012. "The use of historical controls in estimating simultaneous confidence intervals for comparisons against a concurrent control," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 3865-3875.
    9. Hasler Mario & Hothorn Ludwig A, 2011. "A Dunnett-Type Procedure for Multiple Endpoints," The International Journal of Biostatistics, De Gruyter, vol. 7(1), pages 1-15, January.
    10. Mario Hasler, 2016. "Heteroscedasticity: multiple degrees of freedom vs. sandwich estimation," Statistical Papers, Springer, vol. 57(1), pages 55-68, March.
    11. Hothorn Ludwig A & Sill Martin & Schaarschmidt Frank, 2010. "Evaluation of Incidence Rates in Pre-Clinical Studies Using a Williams-Type Procedure," The International Journal of Biostatistics, De Gruyter, vol. 6(1), pages 1-19, April.
    12. Konietschke, Frank & Placzek, Marius & Schaarschmidt, Frank & Hothorn, Ludwig A., 2015. "nparcomp: An R Software Package for Nonparametric Multiple Comparisons and Simultaneous Confidence Intervals," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 64(i09).

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