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Ruth Marcus, Eric Peritz, Some Simultaneous Confidence Bounds in Normal Models with Restricted Alternatives, Journal of the Royal Statistical Society: Series B (Methodological), Volume 38, Issue 2, January 1976, Pages 157–165, https://doi.org/10.1111/j.2517-6161.1976.tb01580.x
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Summary
Simultaneous lower confidence bounds are presented for certain restricted normal models. Applications are given for certain linear contrasts of the means in one-way anova with ordered alternatives and for linear functions of the means in one-way anova with non-negative means.