×

zbMATH — the first resource for mathematics

A minimal hypothesis for a theory of randomized design of experiments. (Une hypothèse minimale pour une théorie des plans d’expériences randomisés.) (French) Zbl 0971.62502

MSC:
62K99 Design of statistical experiments
PDF BibTeX XML Cite
Full Text: Numdam EuDML
References:
[1] Azais , J-M. ( 1987 ) : Design of Experiments for Studying Intergenotypic Competition . J.R. Statist . Soc. B , 49 , 334 - 345 . MR 928943 | Zbl 0623.62101 · Zbl 0623.62101
[2] Bailey , R.A. ( 1981 ) : A Unified Approach to Design of Experiments , J.R.S.S. Ser. A , Vol. 144 , 214 - 223 . MR 625801 | Zbl 0469.62053 · Zbl 0469.62053 · doi:10.2307/2981920
[3] Bailey , R.A. , Praeger , C.E. , Rowley , C.A. and Speed , T.P. ( 1983 ) : Generalized Wreath Product of Permutation Groups , Proc. London Math. Soc. 3 , 47 , 69 - 82 . MR 698928 | Zbl 0496.20018 · Zbl 0496.20018 · doi:10.1112/plms/s3-47.1.69
[4] Bailey , R.A. and Rowley , C.A. ( 1988 ) : General Balance and Treatment permutations , unpublished manuscript. · Zbl 0725.62067
[5] Cochran , W.G. & Cox , G.M. ( 1957 ) : Experimental Design , John Wiley & Sons, Inc. , New-York . Zbl 0077.13205 · Zbl 0077.13205
[6] Coursol , J. ( 1981 ) : Technique statistique des modèles linéaires, 1 - Aspects théoriques , C.I.M.P.A. . Zbl 0588.62105 · Zbl 0588.62105
[7] Fisher , R.A. ( 1925 ) : Statistical method for research workers , Oliver and Boyd , Londres . JFM 64.0544.03 · JFM 64.0544.03
[8] Fisher , R.A. ( 1935 ) : The design of expriments , Oliver and Boyd , Londres . JFM 61.0566.03 · JFM 61.0566.03
[9] Fraser , D.A.S. ( 1957 ) : On the combining of interblock and intrablock estimates , Ann. Math. Stat. , 28 , 814 - 816 . Article | MR 91594 | Zbl 0097.13602 · Zbl 0097.13602 · doi:10.1214/aoms/1177706901 · minidml.mathdoc.fr
[10] Grltndy , P.M. & Healy , M.J. ( 1950 ) : Restrict randomisation and quasi-lattice squares . J.R. Statist. Soc . B , 12 , 286 - 291 . Zbl 0041.45809 · Zbl 0041.45809
[11] Hall , M. ( 1959 ) : The Theory of Groups , Macmillan , New-York . MR 103215 | Zbl 0084.02202 · Zbl 0084.02202
[12] Henderson , C.R. ( 1953 ) : Estimation of variance and covariance components , Biometrics , 9 , 226 . MR 55650
[13] Henderson , C.R. ( 1986 ) : Recent developments in variance and covariance estimation , J.Anim.Sci. , 63 , 208 - 216 .
[14] Ledermann , W. ( 1973 ) : Introduction to Group Theory , Longman Inc ., New-York . · Zbl 0284.20001
[15] Malley , J.D. ( 1986 ) : ” Optimal Unbiased Estimation of Variance Components , Lecture Notes in Statistics, 39 , Springer-Verlag , New-York . MR 868470 | Zbl 0604.62064 · Zbl 0604.62064
[16] Nelder , J.A. ( 1965 a) : The analyse of randomized experiments with orthogonal blocks structure. II.Blocks structure and the null analyse of variance , Proc.Roy Soc. A , 283 , 147 - 162 . MR 176576 | Zbl 0124.10703 · Zbl 0124.10703 · doi:10.1098/rspa.1965.0012
[17] Nelder , J.A. ( 1965 b) : The analyse of randomized experiments with orthogonal blocks structure. II.Treatment structure and the general analyse of variance , Proc.Roy.Soc. A , 283 , 163 - 178 . MR 174156 | Zbl 0124.10703 · Zbl 0124.10703 · doi:10.1098/rspa.1965.0012
[18] Rao , C.R. & Kleffe , J. ( 1980 ) : Estimation of Variance Components , Handbook of Statistics , Vol. 1 , North-Holland Company , 1 - 40 . Zbl 0476.62058 · Zbl 0476.62058
[19] Tedin , O. ( 1931 ) : The influence of systematic plot arrangment upon the estimate of error in field experiments , J.Agr.Sci. , 21 , 191 - 208 .
[20] Tjur , t. ( 1984 ) : Analyse of Variance Models in Orthogonal Designs , Int.Stat. Review , 52 , 1 , 33 - 81 . MR 967202 | Zbl 0575.62068 · Zbl 0575.62068 · doi:10.2307/1403242
[21] Wiancko , A.T. ( 1914 ) : Use and management of check plots in soil fertility investigations , J.A.S.A. , 6 , 122 - 124 .
[22] Wiancko , A.T. , Arny , A.C. & Salmon , S.C. ( 1921 ) : Report on committee on standardization of fields experiments . Journal of American Society of Agronomy , 13 , 368 - 374 .
[23] Yates , F. ( 1936 ) : A new method of arranging variety trials involving a large number of varieties , J.Agr.Sci. , 26 , 424 - 455 .
[24] Yates , F. ( 1940 ) : The recovery of inter-block information in balanced incomplete block designs , Ann. Eugen. , 10 , 317 - 325 .
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.