@book{Agresti84,
    author      = {Agresti, A.},
    year        = {1984},
    title       = {Analysis of Ordinal Categorical Data},
    address     = {New York},
    publisher   = {John Wiley \& Sons}
    }

@book{Agresti90,
    author      = {Agresti, A.},
    year        = {1990},
    title       = {Categorical Data Analysis},
    address     = {New York},
    publisher   = {John Wiley \& Sons}
    }

@article{Anderson95,
    author      = {Anderson, C. M. and Wu, C. F. J.},
    year        = {1995},
    title       = {Measuring location effects from factorial experiments with a directional response},
    journal     = {International Statistical Review},
    volume      = {63},
    number      = {3},
    pages       = {345--63}
    }

@article{Anderson96,
    author      = {Anderson, C. M. and Wu, C. F. J.},
    year        = {1996},
    title       = {Disperion measures and analysis for factorial directional data with replicates},
    journal     = {Applied Statistics},
    volume      = {45},
    number      = {1},
    pages       = {47--61}
    }

@book{Arbib75,
    author      = {M. A. Arbib and E. G. Manes},
    year        = {1975},
    title       = {Arrows, Structures, and Functors: the Categorical Imperative},
    publisher   = {Academic Press},
    address     = {London}
    }

@article{Bailey91,
    author      = {Bailey, R. A.},
    year        = {1991},
    title       = {Strata for Randomized Experiments},
    journal     = {J. Roy. Stat. Soc. B},
    volume      = {53},
    number      = {1},
    pages       = {27--78}
    }

@book{Billingsley95,
    author      = {P. Billingsley},
    year        = {1995},
    title       = {Probability and Measure},
    edition     = {third},
    publisher   = {New York: John Wiley \& Sons}
    }

@book{Bishop95,
    author      = {Bishop, C. M.},
    title       = {Neural Networks for Pattern Recognition},
    publisher   = {Oxford University Press},
    year        = {1995}
    }

@book{Cox58,
    author      = {Cox, D. R.},
    year        = {1958},
    title       = {Planning of Experiments},
    address     = {London},
    Publisher   = {Wiley, Chapman \& Hall}
    }

@book{Cox81,
    author      = {Cox, D. R. and Snell, E. J.},
    year        = {1981},
    title       = {Applied Statistics},
    address     = {London},
    publisher   = {Chapman and Hall}
    }


@article{Dawid88,
    author      = {Dawid, A. P.},
    year        = {1988},
    title       = {Symmetry models and hypotheses for structured data layouts},
    journal     = {J. Roy. Stat. Soc. B},
    volume      = {50},
    number      = {1},
    pages       = {1--34}
    }


@book{Diaconis88,
    author      = {Diaconis, P.},
    year        = {1988},
    title       = {Group Representations in Probability and Statistics},
    address     = {Hayward, CA},
    publisher   = {Institute of Mathematical Statistics},
    series      = {Lecture Notes --- Monograph series},
    volume      = {11}
    }

@book{Dixon70,
    editor      = {Dixon, W. J.},
    year        = {1970},
    title       = {Biomedical Computer Programs, X-Series Supplement},
    address     = {Los Angeles},
    publisher   = {University of California Press}
    }

@unpublished{Forster99,
    author      = {Forster, J. J.},
    year        = {1999},
    title       = {Permutation invariant log-linear models}
    }

@article{Goodman79,
    author      = {Goodman, L. A.},
    year        = {1979},
    title       = {Simple models for the analysis of association in cross-classifications having ordered categories},
    journal     = {J. of the American Statistical Association},
    volume      = {74},
    number      = {367},
    pages       = {537--552}
    }

@article{Goodman81,
    author      = {Goodman, L. A.},
    year        = {1981},
    title       = {Association models and canonical correlation in the analysis of cross-classification having ordered categories},
    journal     = {J. of the American Statistical Association},
    volume      = {76},
    number      = {374},
    pages       = {320--334}
    }

@article{Goodman85,
    author      = {Goodman, L. A.},
    year        = {1985},
    title       = {The analysis of cross-classified data having ordered and/or unordered categories},
    journal     = {The Annals of Statistics},
    volume      = {13},
    number      = {1},
    pages       = {10--69}
    }

@book{Halmos48,
    author      = {Halmos, P. R.},
    year        = {1948},
    title       = {Finite Dimensional Vector Spaces},
    address     = {Princeton, N.J.},
    publisher   = {Princeton University Press}
    }

@article{Hamada92,
    author      = {Hamada, M. and Wu, C. F. J.},
    year        = {1992},
    title       = {Analysis of designed experiments with complex aliasing},
    journal     = {J. Qual. Technology},
    volume      = {24},
    pages       = {130--7}
    }

@article{Hannan65,
    author      = {Hannan, E.J.},
    year        = {1965},
    title       = {Group representations and applied probability},
    journal     = {Journal of Applied Probability},
    volume      = {2},
    pages       = {1--68}
    }

@book{Hand94,
    author      = {Hand, D. J.},
    year        = {1994},
    title       = {A Handbook of Small Data Sets},
    address     = {London},
    publisher   = {Chapman and Hall}
    }

@book{Herrlich73,
    author      = {Herrlich, H. and Strecker, G. E.},
    year        = {1973},
    title       = {Category Theory, An Introduction},
    address     = {Boston},
    publisher   = {Allyn and Bacon Inc.}
    }

@book{James81,
    author      = {James, G.D. and Kerber, A.},
    year        = {1981},
    title       = {The Representation Theory of the Symmetric Group},
    address     = {New York},
    publisher   = {Addison-Wesley Publishing Company, Inc.}
    }

@article{Jarrett79,
    author      = {Jarrett, R. G.},
    year        = {1979},
    title       = {A note on the intervals between coal mining disasters},
    journal     = {Biometrika},
    volume      = {66},
    pages       = {191--93}
    }

@article{Leeuw91,
    author      = {De Leeuw, J. and Van der Heijden, P. G. A.},
    year        = {1991},
    title       = {Reduced rank models for contingency tables},
    journal     = {Biometrika},
    volume      = {78},
    number      = {1},
    pages       = {229--32}
    }

@book{Maclane71,
    author      = {MacLane, S.},
    year        = {1971},
    title       = {Categories for the Working Mathematician},
    address     = {New York},
    publisher   = {Springer-Verlag}
    }

@article{McCullagh78,
    author      = {McCullagh, P.},
    year        = {1978},
    title       = {A class of parametric models for the analysis of square contingency tables with ordered categories},
    journal     = {Biometrika},
    volume      = {65},
    number      = {2},
    pages       = {413--8}
    }

@article{McCullagh99,
    author      = {McCullagh, P.},
    year        = {1999},
    title       = {Quotient spaces and statistical models},
    journal     = {The Canadian Journal of Statistics},
    volume      = {27},
    number      = {3},
    pages       = {1--10}
    }


@techreport{McCullagh00b,
    author      = {McCullagh, P.},
    year        = {2000},
    title       = {What is a statistical model},
    number      = {499},
    address     = {Chicago},
    institution = {University of Chicago}
    }

@book{McCullagh89,
    author      = {P. McCullagh and J. A. Nelder},
    title       = {Generalized Linear Models},
    year        = {1989},
    edition     = {second},
    publisher   = {Chapman \& Hall/CRC}
    }

@article{McCullagh00a,
    author      = {P. McCullagh},
    title       = {Invariance and factorial models},
    journal     = {J. Roy Statist. Soc. B},
    year        = {2000},
    volume      = {62},
    pages       = {209--256},
    note        = {(with discussion)}
    }

@article{McCullagh02,
    author      = {P. McCullagh},
    title       = {What is a statistical model? (with discussion)},
    journal     = {Annals of Statistics},
    year        = {2002},
    volume      = {??},
    pages       = {??},
    number      = {2}
    }


@incollection{Wit01,
    author      = {E. C. Wit and P. McCullagh},
    year        = {2001},
    title       = {The extendibility of statistical models},
    booktitle   = {Algebraic Methods in Statistics},
    series      = {Contemporary Mathematics Series},
    editor      = {M. Viana and D. Richards},
    publisher   = {American Mathematics Society},
    pages       = {327--340}
    }


@article{Nelder77,
    author  = {J. A. Nelder},
    title   = {A reformulation of statistical models (with discussion)},
    journal = {J. R. Statist. Soc. A},
    year    = {1977},
    volume  = {140},
    pages   = {48--77}
    }

@article{Nelder98,
    author  = {J. A. Nelder},
    title   = {The selection of terms in response-surface models: how strong is the weak-heredity principle?},
    journal = {The American Statistician},
    year    = {1998},
    volume  = {52},
    number  = {4},
    pages   = {315--18}
    }

@article{Patterson99,
    author      = {Patterson, M.M. and Kirchain, S.M.},
    year        = {1999},
    title       = {Comparison of three treatments for control of ear mites in ferrets},
    journal     = {Laboratory Animal Science},
    month       = {December},
    volume      = {46},
    number      = {6},
    pages       = {655--7}
    }

@book{Seber66,
    author      = {Seber, G. A. F.},
    year        = {1966},
    title       = {The Linear Hypothesis: A General Theory},
    publisher   = {Charles Griffin \& Company},
    address     = {London}
    }

@book{Serre77,
    author      = {Serre, J-P.},
    year        = {1977},
    title       = {Linear Representations of Finite Groups},
    address     = {New York},
    publisher   = {Springer-Verlag}
    }

@book{Sternberg94,
    author      = {Sternberg, S.},
    year        = {1994},
    title       = {Group Theory and Physics},
    address     = {Cambridge, UK},
    publisher   = {Cambridge University Press}
    }

@article{Vanderheijden89,
    author      = {Van der Heijden, P. G. M. and De Falguerolles, A. and De Leeuw, J.},
    year        = {1989},
    title       = {A combined approach to contingency table analysis using correspondence analysis and log-linear analysis},
    journal     = {Applied Statistics},
    volume      = {38},
    number      = {2},
    pages       = {249--292}
    }

@proceedings{Venables98,
    author      = {Venables, W. N.},
    year        = {1998},
    title       = {Exegeses on Linear Models},
    series      = {1998 International S-PLUS User Conference}
    }

@book{Ward73,
    author      = {Ward, J. H. and Jennings, E.},
    year        = {1973},
    title       = {Introduction to Linear Models},
    publisher   = {Prentice-Hall},
    address     = {Englewood Cliffs, NJ}
    }

@article{Wit00a,
    author      = {Wit, E. C.},
    year        = {2000},
    journal     = {J. R. Statist. Soc. B},
    title       = {Discussion of the paper by McCullagh},
    volume      = {62},
    part        = {2},
    pages       = {251--2}
    }

@phdthesis{Wit00b,
    author      = {Wit, E. C.},
    year        = {2000},
    title       = {The Categorical Imperative: Extendibility Considerations for Statistical Models},
    school      = {University of Chicago}
    }


@article{Yandell97,
    author      = {Yandell, B. S.},
    year        = {1997},
    title       = {Practical Data Analysis for Designed Experiments},
    address     = {London},
    publisher   = {Chapman and Hall}
    }

@article{Yates47,
    author      = {Yates, F.},
    year        = {1947},
    title       = {Analysis of data from all possible reciprocal crosses between a set of parental lines},
    journal     = {Heredity},
    volume      = {1},
    pages       = {287--301}
    }

@article{Zellner62,
    author      = {A. Zellner},
    title       = {An efficient method of estimating seemingly unrelated regressions and tests for aggregation bias},
    year        = {1962},
    volume      = {57},
    journal     = {JASA},
    pages       = {348--368}
    }