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Volumn 47, Issue 2, 1998, Pages 261-271

Statistics and mathematics: The appropriate use of mathematics within statistics

Author keywords

Precise language; Simplification; Teaching statistics

Indexed keywords


EID: 0038847400     PISSN: 00390526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9884.00131     Document Type: Article
Times cited : (5)

References (72)
  • 3
    • 24544433438 scopus 로고    scopus 로고
    • The influence of design on validity and efficiency of neighbour methods
    • Submitted
    • Azaïs, J.-M., Monod, H. and Bailey, R. A. (1996) The influence of design on validity and efficiency of neighbour methods. Submitted to Biometrics.
    • (1996) Biometrics
    • Azaïs, J.-M.1    Monod, H.2    Bailey, R.A.3
  • 4
    • 0001531526 scopus 로고
    • Factorial design and Abelian groups
    • Bailey, R. A. (1985) Factorial design and Abelian groups. Lin. Alg. Applic., 70, 349-368.
    • (1985) Lin. Alg. Applic. , vol.70 , pp. 349-368
    • Bailey, R.A.1
  • 5
    • 0002309888 scopus 로고    scopus 로고
    • Orthogonal partitions in designed experiments
    • _ (1996) Orthogonal partitions in designed experiments. Designs Codes Cryptogr., 8, 45-77.
    • (1996) Designs Codes Cryptogr. , vol.8 , pp. 45-77
  • 6
    • 38249018187 scopus 로고
    • Translation nets and fixed-point-tree group automorphisms
    • Bailey, R. A. and Jungnickel, D. (1990) Translation nets and fixed-point-tree group automorphisms. J. Combin. Theory A, 55, 1-13.
    • (1990) J. Combin. Theory A , vol.55 , pp. 1-13
    • Bailey, R.A.1    Jungnickel, D.2
  • 8
    • 0347587009 scopus 로고
    • General balance and treatment permutations
    • _ (1990) General balance and treatment permutations. Lin. Alg. Applic., 127, 183-225.
    • (1990) Lin. Alg. Applic. , vol.127 , pp. 183-225
  • 9
    • 0026320396 scopus 로고
    • The empirical efficiency and validity of two neighbour models
    • Baird, D. and Mead, R. (1991) The empirical efficiency and validity of two neighbour models. Biometrics, 47, 1473-1487.
    • (1991) Biometrics , vol.47 , pp. 1473-1487
    • Baird, D.1    Mead, R.2
  • 10
    • 85066114109 scopus 로고
    • Inference in forensic identification
    • Balding, D. J. and Donnelly, P. (1995) Inference in forensic identification (with discussion). J. R. Statist. Soc. A, 158, 21-53.
    • (1995) J. R. Statist. Soc. A , vol.158 , pp. 21-53
    • Balding, D.J.1    Donnelly, P.2
  • 12
    • 0002308842 scopus 로고
    • Statistical analysis of field experiments using neighbouring plots
    • Besag, J. and Kempton, R. (1986) Statistical analysis of field experiments using neighbouring plots. Biometrics, 42, 231-251.
    • (1986) Biometrics , vol.42 , pp. 231-251
    • Besag, J.1    Kempton, R.2
  • 14
    • 0000958198 scopus 로고
    • Partially balanced incomplete block designs
    • Bose, R. C. and Nair, K. R. (1939) Partially balanced incomplete block designs. Sankhya, 4, 337-372.
    • (1939) Sankhya , vol.4 , pp. 337-372
    • Bose, R.C.1    Nair, K.R.2
  • 15
    • 0000615251 scopus 로고
    • Classification and analysis of partially balanced incomplete block designs with two associate classes
    • Bose, R. C. and Shimamoto, T. (1952) Classification and analysis of partially balanced incomplete block designs with two associate classes. J. Am. Statist. Ass., 47, 151-184.
    • (1952) J. Am. Statist. Ass. , vol.47 , pp. 151-184
    • Bose, R.C.1    Shimamoto, T.2
  • 18
    • 0011310576 scopus 로고
    • Designs, graphs, codes, and their links
    • Cambridge: Cambridge University Press
    • Cameron, P. J. and van Lint, J. H. (1991) Designs, graphs, codes, and their links. In London Mathematical Society Student Texts, vol. 22. Cambridge: Cambridge University Press.
    • (1991) London Mathematical Society Student Texts , vol.22
    • Cameron, P.J.1    Van Lint, J.H.2
  • 19
    • 0001332233 scopus 로고
    • Optimally of certain asymmetrical experimental designs
    • Cheng, C.-S. (1978) Optimally of certain asymmetrical experimental designs. Ann. Statist., 6, 1239-1261.
    • (1978) Ann. Statist. , vol.6 , pp. 1239-1261
    • Cheng, C.-S.1
  • 20
    • 0001082250 scopus 로고
    • Optimality of some two-associate class partially-balanced incomplete-block designs
    • Cheng, C.-S. and Bailey, R. A. (1991) Optimality of some two-associate class partially-balanced incomplete-block designs. Ann. Statist., 19, 1667-1671.
    • (1991) Ann. Statist. , vol.19 , pp. 1667-1671
    • Cheng, C.-S.1    Bailey, R.A.2
  • 24
    • 0001348040 scopus 로고
    • The arrangement of field experiments
    • Fisher, R. A. (1926) The arrangement of field experiments. J. Min. Agric. Gt Br., 33, 503-513.
    • (1926) J. Min. Agric. Gt Br. , vol.33 , pp. 503-513
    • Fisher, R.A.1
  • 25
    • 0004245434 scopus 로고
    • Edinburgh: Oliver and Boyd
    • _ (1935a) The Design of Experiments. Edinburgh: Oliver and Boyd.
    • (1935) The Design of Experiments
  • 26
    • 0038814923 scopus 로고
    • Discussion on Statistical problems in agricultural experimentation (by J. Neyman)
    • _ (1935b) Discussion on Statistical problems in agricultural experimentation (by J. Neyman). J. R. Statist, Soc., suppl., 2, 154-157.
    • (1935) J. R. Statist, Soc., Suppl. , vol.2 , pp. 154-157
  • 27
    • 0040642567 scopus 로고
    • The theory of confounding in factorial experiments in relation to the theory of groups
    • _ (1942) The theory of confounding in factorial experiments in relation to the theory of groups. Ann. Eugen., 11, 341-353.
    • (1942) Ann. Eugen. , vol.11 , pp. 341-353
  • 29
    • 0346955893 scopus 로고
    • Further results on quasi-complete Latin squares
    • Freeman, G. H. (1981) Further results on quasi-complete Latin squares. J. R. Statist. Soc. B. 43, 314-320.
    • (1981) J. R. Statist. Soc. B , vol.43 , pp. 314-320
    • Freeman, G.H.1
  • 30
    • 0042101416 scopus 로고
    • Restricted randomization and quasi-Latin squares
    • Grundy, P. M. and Healy, M. J. R. (1950) Restricted randomization and quasi-Latin squares. J. R. Statist. Soc. B. 12, 286-291.
    • (1950) J. R. Statist. Soc. B , vol.12 , pp. 286-291
    • Grundy, P.M.1    Healy, M.J.R.2
  • 31
    • 0346955892 scopus 로고
    • Letter
    • Hill, D. (1995) Letter. RSS News, 22, no. 10, 12.
    • (1995) RSS News , vol.22 , Issue.10 , pp. 12
    • Hill, D.1
  • 32
    • 0001518974 scopus 로고
    • Balance in designed experiments with orthogonal block structure
    • Houtman, A. M. and Speed, T. P. (1983) Balance in designed experiments with orthogonal block structure. Ann. Statist., 11, 1069-1085.
    • (1983) Ann. Statist. , vol.11 , pp. 1069-1085
    • Houtman, A.M.1    Speed, T.P.2
  • 33
    • 0000383912 scopus 로고
    • Pseudoreplication and the design of ecological field experiments
    • Hurlbert, S. H. (1984) Pseudoreplication and the design of ecological field experiments. Ecol. Monogr., 54, 187-211.
    • (1984) Ecol. Monogr. , vol.54 , pp. 187-211
    • Hurlbert, S.H.1
  • 34
    • 0002114070 scopus 로고
    • The place of mathematics in medical and biological statistics
    • Irwin, J. O. (1963) The place of mathematics in medical and biological statistics. J. R. Statist. Soc. A, 126, 1-44.
    • (1963) J. R. Statist. Soc. A , vol.126 , pp. 1-44
    • Irwin, J.O.1
  • 35
    • 0346955889 scopus 로고
    • Definitions and properties for m-concurrence designs
    • Jarrett, R. G. (1983) Definitions and properties for m-concurrence designs. J. R. Statist. Soc. B, 45, 1-10.
    • (1983) J. R. Statist. Soc. B , vol.45 , pp. 1-10
    • Jarrett, R.G.1
  • 36
    • 0347587008 scopus 로고
    • Generalized cyclic designs in factorial experiments
    • John, J. A. (1973) Generalized cyclic designs in factorial experiments. Biometrika, 60, 55-63.
    • (1973) Biometrika , vol.60 , pp. 55-63
    • John, J.A.1
  • 37
    • 0004286675 scopus 로고
    • London: Chapman and Hall
    • _ (1987) Cyclic Designs. London: Chapman and Hall.
    • (1987) Cyclic Designs
  • 40
    • 0000057635 scopus 로고
    • The randomization theory of experimental inference
    • _ (1995) The randomization theory of experimental inference. J. Am. Statist. Ass., 50, 946-967.
    • (1995) J. Am. Statist. Ass. , vol.50 , pp. 946-967
  • 42
    • 0004033868 scopus 로고
    • Cambridge: Cambridge University Press
    • _ (1977) Introduction to Group Characters. Cambridge: Cambridge University Press.
    • (1977) Introduction to Group Characters
  • 43
    • 0346955906 scopus 로고
    • Simplicity
    • Lindley, D. V. (1995) Simplicity. RSS News, 22, no. 8, 1-2.
    • (1995) RSS News , vol.22 , Issue.8 , pp. 1-2
    • Lindley, D.V.1
  • 44
    • 21844510801 scopus 로고
    • Hasse diagrams in statistical consulting and teaching
    • Lohr, S. L. (1995) Hasse diagrams in statistical consulting and teaching. Am. Statistn, 49, 376-381.
    • (1995) Am. Statistn , vol.49 , pp. 376-381
    • Lohr, S.L.1
  • 45
    • 0004256583 scopus 로고
    • London: London Mathematical Society
    • London Mathematical Society, Institute of Mathematics and Its Applications and Royal Statistical Society (1995) Tackling the Mathematics Problem. London: London Mathematical Society.
    • (1995) Tackling the Mathematics Problem
  • 47
    • 0011760037 scopus 로고
    • The non-orthogonal design of experiments
    • _ (1990) The non-orthogonal design of experiments (with discussion). J. R. Statist. Soc. A, 153, 151-201.
    • (1990) J. R. Statist. Soc. A , vol.153 , pp. 151-201
  • 49
    • 0006065240 scopus 로고
    • Wokingham: Van Nostrand Rheinhold
    • Morris, A. O. (1978) Linear Algebra. Wokingham: Van Nostrand Rheinhold.
    • (1978) Linear Algebra
    • Morris, A.O.1
  • 50
    • 0001234954 scopus 로고
    • The analysis of randomized experiments with orthogonal block structure. II. Treatment structure and the general analysis of variance
    • Nelder, J. A. (1965) The analysis of randomized experiments with orthogonal block structure. II. Treatment structure and the general analysis of variance. Proc. R. Soc. A, 283, 163-178.
    • (1965) Proc. R. Soc. A , vol.283 , pp. 163-178
    • Nelder, J.A.1
  • 51
    • 0002534858 scopus 로고
    • A reformulation of linear models
    • _ (1977) A reformulation of linear models (with discussion). J. R. Statist. Soc. A, 140, 48-76.
    • (1977) J. R. Statist. Soc. A , vol.140 , pp. 48-76
  • 52
    • 0000076874 scopus 로고
    • The statistics of linear models: Back to basics
    • _ (1994) The statistics of linear models: back to basics. Statist. Comput., 4, 221-234.
    • (1994) Statist. Comput. , vol.4 , pp. 221-234
  • 53
    • 0042502838 scopus 로고
    • Circuits and efficiency in incomplete block designs
    • Paterson, L. J. (1983) Circuits and efficiency in incomplete block designs. Biometrika, 70, 215-225.
    • (1983) Biometrika , vol.70 , pp. 215-225
    • Paterson, L.J.1
  • 54
    • 0041891062 scopus 로고
    • Some theoretical results on general block designs
    • Patterson, H. D. and Williams, E. R. (1976) Some theoretical results on general block designs. Congr. Numer., 15, 489-496.
    • (1976) Congr. Numer. , vol.15 , pp. 489-496
    • Patterson, H.D.1    Williams, E.R.2
  • 55
    • 0039334797 scopus 로고
    • The use and classification of non-orthogonal designs
    • Pearce, S. C. (1963) The use and classification of non-orthogonal designs. J. R. Statist. Soc. A, 126, 353-369.
    • (1963) J. R. Statist. Soc. A , vol.126 , pp. 353-369
    • Pearce, S.C.1
  • 56
    • 0347587021 scopus 로고
    • The monstrous regiment of mathematicians
    • _ (1983) The monstrous regiment of mathematicians. Statistician, 32, 375-378.
    • (1983) Statistician , vol.32 , pp. 375-378
  • 57
    • 0041976570 scopus 로고
    • Orthogonality and designs: A terminological muddle
    • Preece, D. A. (1977) Orthogonality and designs: a terminological muddle. Util. Math., 12, 201-223.
    • (1977) Util. Math. , vol.12 , pp. 201-223
    • Preece, D.A.1
  • 58
    • 84990495564 scopus 로고
    • A randomization problem in forming designs with superimposed treatments
    • Preece, D. A., Bailey, R. A. and Patterson, H. D. (1978) A randomization problem in forming designs with superimposed treatments. Aust. J. Statist., 20, 111-125.
    • (1978) Aust. J. Statist. , vol.20 , pp. 111-125
    • Preece, D.A.1    Bailey, R.A.2    Patterson, H.D.3
  • 60
    • 0346326017 scopus 로고
    • Discussion on the statistics of linear models: Back to basics (by J. A. Neider)
    • Searle, S. R. (1995) Discussion on The statistics of linear models: back to basics (by J. A. Neider). Statist. Comput., 5, 103-107.
    • (1995) Statist. Comput. , vol.5 , pp. 103-107
    • Searle, S.R.1
  • 61
    • 0347587007 scopus 로고    scopus 로고
    • Optimal designs?
    • Senn, S. (1996) Optimal designs? RSS News, 23, no. 7, 1-2.
    • (1996) RSS News , vol.23 , Issue.7 , pp. 1-2
    • Senn, S.1
  • 63
    • 0346955892 scopus 로고
    • Letter
    • Silcocks, P. (1995) Letter. RSS News, 22, no. 10, 12.
    • (1995) RSS News , vol.22 , Issue.10 , pp. 12
    • Silcocks, P.1
  • 64
    • 0346326018 scopus 로고
    • Some aspects of simplicity in the analysis of block designs
    • Sinha, B. K. (1982) Some aspects of simplicity in the analysis of block designs. J. Statist. Planng Inf., 6, 165-172.
    • (1982) J. Statist. Planng Inf. , vol.6 , pp. 165-172
    • Sinha, B.K.1
  • 65
    • 0039562114 scopus 로고    scopus 로고
    • Mad cows and ecstasy; chance and choice in an evidence-based society
    • Smith, A. F. M. (1996) Mad cows and ecstasy; chance and choice in an evidence-based society. J. R. Statist. Soc. 159, 367-383.
    • (1996) J. R. Statist. Soc. , vol.159 , pp. 367-383
    • Smith, A.F.M.1
  • 67
    • 0002868387 scopus 로고
    • Analysis of variance models in orthogonal designs
    • Tjur, T. (1984) Analysis of variance models in orthogonal designs. Int. Statist. Rev., 52, 33-81.
    • (1984) Int. Statist. Rev. , vol.52 , pp. 33-81
    • Tjur, T.1
  • 68
    • 0001407696 scopus 로고
    • A neighbour model for field experiments
    • Williams, E. R. (1986) A neighbour model for field experiments. Biometrika, 73, 279-287.
    • (1986) Biometrika , vol.73 , pp. 279-287
    • Williams, E.R.1
  • 69
    • 0000736815 scopus 로고
    • The formation of Latin squares for use in field experiments
    • Yates, F. (1933) The formation of Latin squares for use in field experiments. Emp. J. Exper. Agric., 1, 235-244.
    • (1933) Emp. J. Exper. Agric. , vol.1 , pp. 235-244
    • Yates, F.1
  • 70
    • 0000151799 scopus 로고
    • Incomplete randomized blocks
    • _ (1936a) Incomplete randomized blocks. Ann. Eugen., 7, 121-140.
    • (1936) Ann. Eugen. , vol.7 , pp. 121-140
  • 71
    • 0001386814 scopus 로고
    • A new method of arranging variety trials involving a large number of vaneties
    • _ (1936b) A new method of arranging variety trials involving a large number of vaneties. J. Agric. Sci., 26, 424-455.
    • (1936) J. Agric. Sci. , vol.26 , pp. 424-455
  • 72
    • 0041988916 scopus 로고
    • Sir Ronald Fisher and the design of experiments
    • _ (1964) Sir Ronald Fisher and the design of experiments. Biometrics, 20, 307-321.
    • (1964) Biometrics , vol.20 , pp. 307-321


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