Zusammenfassung
Vierfeldertafeln haben wir im Abschnitt 46 kennengelernt. Wir befassen uns hier fast nur mit den einfachsten Mehrfeldertafeln: Zweiwegtafeln (a) des Typs k·2 mit k≧3 und (b) des Typs r·c mit r≧3 und c≧3.
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Literatur zu den einzelnen Kapiteln
Altham, Patricia M.E.: The measurement of association of rows and columns for an r · s contingency table. J. Roy. Statist. Soc. B 32 (1970), 63–73.
Armitage, P.: Tests for linear trends in proportions and frequencies. Biometrics 11 (1955), 375–386.
Bartholomew, D. J.: A test of homogeneity for ordered alternatives. I and II. Biometrika 46 (1959), 36–48 and 328-335 [vgl. auch 63 (1976), 177-183, 647-654; J. Roy. Statist. Soc. B 23 (1961), 239-281, J. Amer. Statist Assoc. 67 (1972), 55-63 sowie Biometrics 30 (1974), 589-597].
Bennett, B.M.: Tests for marginal symmetry in contingency tables. Metrika 19 (1972), 23–26.
Bennett, B.M., and Hsu, P.: Sampling studies on a test against trend in binomial data. Metrika 5 (1962), 96–104.
Bennett, B.M., and E. Nakamura: (1) Tables for testing significance in a 2 × 3 contingency table. Techno-metrics 5 (1963), 501–511.
Bennett, B.M., and E. Nakamura: (2) The power function of the exact test for the 2 × 3 contingency table. Technometrics 6 (1964), 439–458.
Berg, Dorothy, Leyton, M., and Maloney, C.J.: Exact contingency table calculations. Ninth Conf. Design Exper. in Army Research Development and Testing (1965), (N. I. H., Bethesda Md.).
Bhapkar, V. P.: On the analysis of contingency tables with a quantitative response. Biometrics 24 (1968), 329–338.
—, and Koch, G.G.: (1) Hypotheses of “no interaction” in multidimensional contingency tables. Technometrics 10 (1968), 107–123.
Bhapkar, V. P.: (2) On the hypotheses of “no interaction” in contingency tables. Biometrics 24 (1968), 567–594.
Bishop, Yvonne M.M.: Full contingency tables, logits, and split contingency tables. Biometrics 25 (1969), 383–399 (vgl. auch 119-128).
—, Fienberg, S. E., and Holland, P. W.: Discrete Multivariate Analysis. Theory and Practice. (MIT Press; pp. 557) Cambridge, Mass. 1975.
Bowker, A. H.: A test for symmetry in contingency tables. J. Amer. Statist. Assoc. 43 (1948), 572–574 [vgl. auch Biometrics 27 (1971), 1074-1078].
Bresnahan, J.L., and Shapiro, M.M.: A general equation and technique for the exact partitioning of chi-square contingency tables. Psychol. Bull. 66 (1966), 252–262.
Castellan jr., N.J.: On the partitioning of contingency tables. Psychol. Bull. 64 (1965), 330–338.
Caussinus, H.: Contribution à l’analyse statistique des tableaux de corrélation. Ann. Fac. Sci. Univ. Toulouse, Math., 4. Ser., 29 (1965), 77–183.
Cochran, W.G.: (1) Some methods of strengthening the common χ2 tests. Biometrics 10 (1954), 417–451.
Cochran, W.G.: (2) Analyse des classifications d’ordre. Revue Statistique Appliquée 14, 2 (1966), 5–17.
Eberhard, K.: FM — Ein Maß für die Qualität einer Vorhersage aufgrund einer mehrklassigen Variablen in einer k · 2-Felder-Tafel. Z. exp. angew. Psychol. 17 (1970), 592–599.
Fairfield Smith, H.: On comparing contingency tables. The Philippine Statistician 6 (1957), 71–81.
Fienberg, S.E.: (1) The analysis of multidimensional contingency tables. Ecology 51 (1970), 419–433.
Fienberg, S.E.: (2) An iterative procedure for estimation in contingency tables. Ann. Math. Statist. 41 (1970), 907–917 [vgl. auch Psychometrika 36 (1971), 349-367 und Biometrics 28 (1972), 177-202].
Gabriel, K. R.: Simultaneous test procedures for multiple comparisons on categorical data. J. Amer. Statist. Assoc. 61 (1966), 1080–1096.
Gart, J.J.: Alternative analyses of contingency tables. J. Roy. Statist. Soc. B 28 (1966), 164–179 [vgl. auch Biometrika 59 (1972), 309-316].
Goodman, L.A.: (1) On methods for comparing contingency tables. J. Roy. Statist. Soc, Ser. A 126 (1963), 94–108.
Goodman, L.A.: (2) Simple methods for analyzing three-factor interaction in contingency tables. J. Amer. Statist. Assoc. 59 (1964), 319–352.
Goodman, L.A.: (3) On partitioning χ2 and detecting partial association in three-way contingency tables. J. Roy. Statist. Soc. B 31 (1969), 486–498.
Goodman, L.A.: (4) The multivariate analysis of qualitative data: interactions among multiple classifications. J. Amer. Statist. Assoc. 65 (1970), 226–256. [vgl. auch Technometrics 13 (1971), 33-61, J. Amer. Statist. Assoc. 68 (1973), 165-175 und Biometrika 68 (1981), 347-355].
Goodman, L.A. and Kruskal, W.H.: Measures of association for cross classifications, IV. Simplification of asymptotic variances. J. Amer. Statist. Assoc. 67 (1972), 415–421 [vgl. auch 74 (1979), 537-552 sowie (A. Agresti) 71 (1976), 49-55].
Grizzle, J. E., Starmer, C. F., and Koch, G. G.: Analysis of categorical data by linear models. Biometrics 25 (1969), 489–504 [ vgl. auch 26 (1970), 860; 28 (1972), 137-156, J. Amer. Statist. Assoc. 67 (1972), 55-63 und Method. Inform. Med. 12 (1973), 123-128].
Hamdan, M.A.: Optimum choice of classes for contingency tables. J. Amer. Statist. Assoc. 63 (1968), 291–297 [vgl. auch Psychometrika 36 (1971), 253-259].
Hettmansperger, T. P., and McKean, J.W.: On testing for significant change in c × c tables. Commun. Statist. 2 (1973), 551–560.
Ireland, C.T., Ku, H.H., and Kullback, S.: Symmetry and marginal homogeneity of an r · r contingency table. J. Amer. Statist. Assoc. 64 (1969), 1323–1341.
Ireland, C.T., and Kullback, S.: Minimum discrimination information estimation. Biometrics 24 (1968), 707–713 [vgl. auch 27 (1971), 175-182 und Biometrika 55 (1968), 179-188].
Kastenbaum, M. A.: (1) A note on the additive partitioning of chi-square in contingency tables. Biometrics 16 (1960), 416–422.
Kastenbaum, M. A.: (2) Analysis of categorical data: some well-known analogues and some new concepts. Commun. Statist. 3 (1974), 401–417.
Kincaid, W.M.: The combination of 2 × m contingency tables. Biometrics 18 (1962), 224–228.
Ku, H.H.: A note on contingency tables involving zero frequencies and the 21 test. Technometrics 5 (1963), 398–400.
Ku, H.H., and Kullback, S.: Interaction in multidimensional contingency tables: an information theoretic approach. J. Res. Nat. Bur. Stds. 72B (1968), 159–199.
Ku, H. H., Varner, R. N., and Kullback, S.: On the analysis of multidimensional contingency tables. J. Amer. Statist. Assoc. 66 (1971), 55–64 [vgl. auch 70 (1975), 503-523 u. 624 + 625].
Kullback, S.: Information Theory and Statistics. (Wiley, pp. 395) New York 1959 [vgl. J. Adam, H. Enke u. G. Enderlein: Biometrische Zeitschr. 14 (1972), 305-323; 15 (1973), 53-78, 17 (1975), 513-523].
Kullback, S., Kupperman, M., and Ku, H.H.: (1) An application of information theory to the analysis of contingency tables, with a table of 2n ln n, n = 1(1)10,000. J. Res. Nat. Bur. Stds. B 66 (1962), 217–243.
Kullback, S., Kupperman, M., and Ku, H.H.: Tests for contingency tables and Markov chains. Technometrics 4 (1962), 573–608.
Kullback, S., and Leibler, R. A.: On information and sufficiency. Ann. Math. Statist. 22 (1951), 79–86.
Lancaster, H.O.: The Chi-Squared Distribution. (Wiley, pp.356), New York 1969.
Lewontin, R.C., and Felsenstein, J.: The robustness of homogeneity tests in 2 × n tables. Biometrics 21 (1965), 19–33.
Mantel, N.: Chi-square tests with one degree of freedom; extensions of the Mantel-Haenszel procedure. J. Amer. Statist. Assoc. 58 (1963), 690–700 [vgl. auch Biometrics 29 (1973), 479-486].
Mantel, N., and Haenszel, W.: Statistical aspects of the analysis of data from retrospective studies of disease. J. Natl. Cancer Institute 22 (1959), 719–748 [vgl. auch Amer. J. Epidemiology 112 (1980), 129-134, Biometrics 36 (1980), 381-399 und W. J. Youden: Cancer 3 (1950), 32-35].
Meng, R.C., and Chapman, D.G.: The power of Chi-square tests for contingency tables. J. Amer. Statist. Assoc. 61 (1966), 965–975 [vgl. auch Amer. Statist. 31 (1977), 83-85].
Mosteller, F.: Association and estimation in contingency tables. J. Amer. Statist. Assoc. 63 (1968), 1–28 [vgl. auch J. R. Landis and G. G. Koch, Statistica Neerlandica 29 (1975), 101-123, 151-161].
Nass, C.A.G.: The χ2 test for small expectations in contingency tables with special reference to accidents and absenteeism. Biometrika 46 (1959), 365–385.
Neider, J. A.: Log. linear models for contingency tables. Applied Statistics 23 (1974), 323–329 [vgl. 25 (1976), 37-46 u. The Statistician 25 (1976), 51-58].
Odoroff, C.L.: A comparison of minimum logit chi-square estimation and maximum likelihood estimation in 2 × 2 × 2 and 3 × 2 × 2 contingency tables: tests for interaction. J. Amer. Statist. Assoc. 65 (1970), 1617–1631 [vgl. auch 69 (1974), 164-168].
Pawlik, K.: Der maximale Kontingenzkoeffizient im Falle nichtquadratischer Kontingenztafeln. Metrika 2 (1959), 150–166.
Plackett, R. L.: The Analysis of Categorical Data. (Griffin [GSMC No. 35]; pp. 153) London 1974.
Ryan, T. A.: Significance tests for multiple comparison of proportions, variances and other statistics. Psychological Bull. 57 (1960), 318–328 [siehe M. Horn, Biom. J. 23 (1981), 343-355].
Sachs, L.: Statistische Methoden. 5. neubearb. Aufl. (Springer, 124 S.) Berlin, Heidelberg, New York 1982.
Shaffer, J.P.: Defining and testing hypotheses in multidimensional contingency tables. Psychol. Bull. 79 (1973), 127–141.
Winckler, K.: Anwendung des χ2-Tests auf endliche Gesamtheiten. Ifo-Studien 10 (1964), 87–104.
Woolf, B.: The log likelihood ratio test (the G-Test). Methods and tables for tests of heterogeneity in contingency tables. Ann. Human Genetics 21 (1957), 397–409.
Yates, F.: The analysis of contingency tables with groupings based on quantitative characters. Biometrika 35 (1948), 176–181 [vgl. auch 39 (1952), 274-289].
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Sachs, L. (1984). Die Auswertung von Mehrfeldertafeln. In: Angewandte Statistik. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05748-3_9
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