Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

MathSciNet review: 1567059
Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: Yvonne M. M. Bishop, Stephen E. Fienberg and Paul W. Holland
Title: Discrete multivariate analysis: Theory and practice
Additional book information: with the collaboration of Richard J. Light and Frederick Mosteller, MIT Press, Cambridge, Mass., 1975. Second printing with corrections, 1976, x + 557 pp., $30.00.

References [Enhancements On Off] (What's this?)

    M. S. Bartlett, 1935, Contingency table interactions, J. Roy. Statist. Soc., Suppl. 2, 248-252.
  • M. W. Birch, Maximum likelihood in three-way contingency tables, J. Roy. Statist. Soc. Ser. B 25 (1963), 220–233. MR 168065
  • Y. M. M. Bishop, 1969, Full contingency tables, logits, and split contingency tables, Biometrics 25, 383-400.
    R. D. Bock, 1975, Multivariate statistical methods in behavioral research, McGraw-Hill, New York.
  • D. R. Cox, The analysis of binary data, Methuen & Co., Ltd., London, 1970. MR 0282453
  • A. P. Dempster, 1969, Elements of continuous multivariate analysis, Addison-Wesley, Reading, Mass.
    R. A. Fisher, 1934, Statistical methods for research workers, Oliver and Boyd, Edinburgh.
    R. A. Fisher, 1936, Has Mendel's work been rediscovered?, Ann. Sci. 1, 115-137.
  • R. A. Fisher, The negative binomial distribution, Ann. Eugenics 11 (1941), 182–187. MR 6689
  • Joseph L. Fleiss, Statistical methods for rates and proportions, 2nd ed., John Wiley & Sons, Inc., New York, 1981. Wiley Series in Probability and Mathematical Statistics. MR 622544
  • Irving John Good, The estimation of probabilities. An essay on modern Bayesian methods, Research Monograph, No. 30, The M.I.T. Press, Cambridge, Mass., 1965. MR 0185724
  • L. A. Goodman, 1968, The analysis of cross-classified data: independence, quasi-independence, and interaction in contingency tables with or without missing entries, J. Amer. Statist. Assoc. 63, 1091-1131.
  • Leo A. Goodman, On partitioning $\chi ^{2}$ and detecting partial association in three-way contingency tables, J. Roy. Statist. Soc. Ser. B 31 (1969), 486–498. MR 269066
  • L. A. Goodman, 1970, The multivariate analysis of qualitative data: interactions among multiple classifications, J. Amer. Statist. Assoc. 65, 226-256.
    L. A. Goodman, 1971a, The analysis of multidimensional contingency tables: stepwise procedures and direct estimation methods for building models for multiple classifications, Technometrics 13, 33-61.
    L. A. Goodman, 1971b, Partitioning of chi-square, analysis of marginal contingency tables and estimation of expected frequencies in multidimensional contingency tables, J. Amer. Statist. Assoc. 66, 339-344.
    L. A. Goodman, 1972a, A modified multiple regression approach to the analysis of dichotomous variables, Amer. Sociological Rev. 37, 28-46.
    L. A. Goodman, 1972b, A general model for the analysis of surveys, Amer. J. Sociology 77, 1035-1086.
    L. A. Goodman, 1972c, Causal analysis of data from panel studies and other kinds of surveys (unpublished).
    L. A. Goodman and W. H. Kruskal, 1954, Measures of association for cross-classifications, J. Amer. Statist. Assoc. 49, 732-764.
    L. A. Goodman and W. H. Kruskal, 1959, Measures of association for cross-classifications. II, J. Amer. Statist. Assoc. 54, 123-163.
  • Leo A. Goodman and William H. Kruskal, Measures of association for cross classifications. III. Approximate sampling theory, J. Amer. Statist. Assoc. 58 (1963), 310–364. MR 156400
  • L. A. Goodman and W. H. Kruskal, 1972, Measures of association for cross-classifications. IV, J. Amer. Statist. Assoc. 67, 415-421.
  • Shelby J. Haberman, The analysis of frequency data, The University of Chicago Press, Chicago, Ill.-London, 1974. Statistical Research Monographs, Vol. IV. MR 0408098
  • H. O. Lancaster, The chi-squared distribution, John Wiley & Sons, Inc., New York-London-Sydney, 1969. MR 0253452
  • N. Mantel, 1966, Models for complex contingency tables and polychotomous response curves, Biometrics 22, 83-110.
  • A. E. Maxwell, Analysing qualitative data, Methuen’s Monographs on Applied Probability and Statistics. Methuen& Co., Ltd., London; John Wiley& Sons, Inc., New York, 1961. MR 0124114
  • Frederick Mosteller, Association and estimation in contingency tables, J. Amer. Statist. Assoc. 63 (1968), 1–28. MR 230442
  • M. Nerlove and S. J. Press, 1976, Multivariate log-linear probability models for the analysis of qualitative data, Discussion Paper No. 1, Center for Statistics and Probability, Northwestern Univ., Evanston, III.
    I. Olkin, 1977, A statistical technique, Science 196, 156-157.
    K. Pearson, 1900, On a criterion that a given system of deviations from the probable in the case of a corrolated system of variables is such that it can reasonably be supposed to have arisen from random sampling, Philosophical Mag. 50, 157-175.
    R. L. Plackett, 1974, The analysis of categorical data, Griffin, London.

Review Information:

Reviewer: Marc Nerlove
Reviewer: S. James Press
Journal: Bull. Amer. Math. Soc. 84 (1978), 470-480