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Optimale Planung eines Kovarianzanalyse- und eines Intraclass Regressions-Experiments

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Summary

The modeling and design of general experiments with qualitative and quantitative factors of influence is presented and discussed. A complete and ready to apply characterization of concrete optimal designs and their operational characteristics are given for the two basic models of analysis of covariance and of intra class regression under different experiment constraints.

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Literaturverzeichnis

  • Alalouf, I.S., undG.P.H. Styan: Characterizations of estimability in the general linear model. Ann. Stat.7, 1979, 194–200.

    Article  MathSciNet  MATH  Google Scholar 

  • Bandemer, H., et al.: Theorie und Anwendung der optimalen Versuchsplanung I. Berlin 1977.

  • Hansen, O.H., undE.N. Torgersen: Comparison of linear normal experiments. Ann. of Statist.2, 1974, 367–373.

    Article  MathSciNet  MATH  Google Scholar 

  • Jackel, L.A.: Estimating regression coefficients by minimizing the dispersion on the residuals. Ann. Math. Statist.43, 1972, 1449–1458.

    Article  MathSciNet  Google Scholar 

  • Jureckova, J.: Nonparametric estimate of regression coefficients. Ann. Math. Statist.42, 1971, 1328–1338.

    Article  MathSciNet  MATH  Google Scholar 

  • Köster, J.: Optimale Versuchsplanung bei Modellen der Kovarianzanalyse mit linearen Regressionsfaktoren. Dissertation, Georg-August Universität, Göttingen 1976.

  • Krafft, O.: Lineare statistische Modelle und optimale Versuchspläne. Göttingen 1978.

  • Kraft, C.H., undC. van Eeden: Linearized rank estimates and signed-rank estimates for the general linear hypothesis. Ann. Math. Statist.43, 1972, 42–57.

    Article  MathSciNet  MATH  Google Scholar 

  • Kurotschka, V., undP.S. Dwyer: Optimal design of three way layouts without interactions. Math. Operationsforsch. u. Statist.5, 1974, 131–145.

    Article  MathSciNet  MATH  Google Scholar 

  • Kurotschka, V.: Optimal design of complex experiments with qualitative factors of influence. Commun. Statist.-Theor. Meth.A7, 1978, 1363–1378.

    Article  MATH  Google Scholar 

  • Lopez Troya, J.: Optimal designs for covariance models; Dissertation. Univ. of Cal., Berkeley 1980.

    Google Scholar 

  • Puri, M.L., undP.K. Sen: A class of rank order tests for a general linear hypothesis. Ann. Math. Statist.40, 1969, 1325–1343.

    Article  MathSciNet  MATH  Google Scholar 

  • Searle, S.R.: Linear models. New York 1971.

  • —: Alternative covariance models for the 2-way crossed classification. Commun. Statis.A8, 1979, 799–818.

    Article  MATH  Google Scholar 

  • Sen, P.K., undM.L. Puri: Asymptotically distribution-free aligned rank order tests for composite hypotheses for general multivariate linear models. Z. Wahrscheinlichkeitsth. verw. Geb.39, 1977, 175–186.

    Article  MathSciNet  MATH  Google Scholar 

  • Sen, P.K.: Nonparametric repeated significance tests for some analysis of covariance models. Commun. Statist.A8, 1979, 819–841.

    Article  MATH  Google Scholar 

  • Wierich, W.:Charakterisierung konkreter optimaler Versuchspläne für zwei kovarianzanalytische Modelle. Dissertation, Freie Universität Berlin 1980.

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  1. Fachbereich Mathematik, 3. Mathematisches Institut, Freie Universität Berlin, Arnimallee 6, D-1000, Berlin 33

    V. Kurotschka &  W. Wierich

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  1. V. Kurotschka
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  2. W. Wierich
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Kurotschka, V., Wierich, W. Optimale Planung eines Kovarianzanalyse- und eines Intraclass Regressions-Experiments. Metrika 31, 361–378 (1984). https://doi.org/10.1007/BF01915224

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  • DOI: https://doi.org/10.1007/BF01915224

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