Limam, Mohamed M. T.; Thomas, David R. Simultaneous tolerance intervals in the random one-way model with covariates. (English) Zbl 0695.62180 Commun. Stat., Simulation Comput. 17, No. 3, 1007-1019 (1988). Summary: Simultaneous tolerance intervals developed by the authors [J. Am. Stat. Assoc. (1988)], for the normal regression model, are generalized to the random one-way model with covariates. Simultaneous tolerance intervals for unit means are developed for the balanced model. A simulation study is used to estimate the exact confidence of the tolerance intervals for models with one covariate. MSC: 62J10 Analysis of variance and covariance (ANOVA) 62F25 Parametric tolerance and confidence regions Keywords:tolerance limits; one-way ANOVA random model; higher level covariates; Satterthwaite approximation; Simultaneous tolerance intervals PDFBibTeX XMLCite \textit{M. M. T. Limam} and \textit{D. R. Thomas}, Commun. Stat., Simulation Comput. 17, No. 3, 1007--1019 (1988; Zbl 0695.62180) Full Text: DOI References: [1] Graybill F.A., Theory and Application of the Linear Model (1984) [2] Barnett, M.C. and Krishnaiah, P. R. 1968.Tables f o r the momentsofgammaorderstatistics., Vol. B30, 59–72. Sankhya. [3] Galambost J., TheAsymptotlcTheoryofExtremeOrderStatlstlcs. (1978) [4] Gupta, S.S. 1960.Orderstatisticsfromtheganmadistribution., Vol. 2, 243–252. Technometrlcs. [5] Eartley, H.O. 1950.ThemaximumF-ratioasashortcuttestforheterogeneityofvariance, Vol. 37, 308–312. Blometrlka. [6] Izenman, A.J. 1976.Ontheextremalquotientfromagamasample., Vol. 185, 308–190. Blometrlkaa. [7] Johnson, N.L., Dlstrlbutlon InStatlstlcs;ContinuousUnlvarlateDlstrlbutlons- (1970) [8] Kimber, A.C. 1979.Tests for a single outlier inagammasample with unknown shape and scale parameters., Vol. 28, 263–271. ApplledStatlstlcs. [9] Kimber, A.C. 1983.Discordancy testing i n gama samples withboth parameters unknown., Vol. 32, 304–310. ApplledStatlstlcs. · Zbl 0533.62022 [10] Kimber, A.C. 1987.Euleriannumbersandlinkswithsamestatisticalprocedures., Vol. 31, 57–65. Utl//tas Mathematlca . [11] Lewis, T and Pieller, N.R.J. 1979.A recursive algorithm fornull,distributionsforoutliers:Igammasamples., Vol. 21, 371–376. Technometrlcs. [12] NAG T., FortranMark10LlbraryManual. (1983) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.