（研究論文） 富澤貞男 (Sadao Tomizawa)
研究成果は，論文として，次の統計関連の学術雑誌へ発表しています．
論文リスト
 Tomizawa,S. (1982): On the derivation of the distributions of the sample regression coefficients and residual covariance matrices. TRU Mathematics 18 8184.
 Tomizawa,S.(1983): The models for symmetric cells in axa and axaxa contingency tables with ordered categories. Journal of the Japan Statistical Society 13 127135.
 Tomizawa,S.(1984): Three kinds of decompositions for the conditional symmetry model in a square contingency table. Journal of the Japan Statistical Society 14 3542.
 Tomizawa,S.(1985): The decompositions for pointsymmetry models in twoway contingency tables. Biometrical Journal 27 895905, Germany.
 Tomizawa,S.(1985): Double symmetry model and its decomposition in a square contingency table. Journal of the Japan Statistical Society 15 1723.
 Tomizawa,S.(1985): Decompositions for oddssymmetry models in a square contingency table with ordered categories. Journal of the Japan Statistical Society 15 151159.
 Tomizawa,S. (1985): Analysis of data in square contingency tables with ordered categories using the conditional symmetry model and its decomposed models. Environmental Health Perspectives 63 235239, U.S.A.
 Tomizawa,S.(1986): A decomposition for the inclined pointsymmetry model in a square contingency table. Biometrical Journal 28 371380, Germany.
 Tomizawa,S.(1986): Four kinds of symmetry models and their decompositions in a square contingency table with ordered categories. Biometrical Journal 28 387393, Germany.
 Tomizawa,S.(1986): A new methods of applying an extended marginal homogeneity model for square contingency tables with ordered categories. Journal of the Japan Statistical Society 16 187190.
 Tomizawa,S.(1987): Diagonal weighted marginal homogeneity models and decompositions for linear diagonalsparameter symmetry model. Communications in StatisticsTheory and Methods 16 477488, U.S.A.
 Tomizawa,S.(1987): Decompositions for 2ratiosparameter symmetry model in square contingency tables with ordered categories. Biometrical Journal 29 4555, Germany.
 Tomizawa,S.(1987): Analysis of square contingency tables with ordered categories by a new method of applying the 1weight modified marginal homoheneity models. Biometrical Journal 29 667674, Germany.
 富澤貞男 (1987): モデルの分解を用いての分割表データの解析. 応用統計学 16 131139.
 Tomizawa,S.(1989): Analogy between generalized palindromic symmetry and quasiodds symmetry models for square contingency tables with ordered categories. Bulletin of the Biometric Society of Japan 10 19.
 Tomizawa,S.(1989): Decompositions for conditional symmetry model into palindromic symmetry and modified marginal homogeneity models. The Australian Journal of Statistics 31 287296.
 Tomizawa,S.(1990): The decomposition of a quasiuniform association model and its application to the analysis of British occupational mobility table data. Behaviormetrika 27 115121.
 Tomizawa,S.(1990): Parsimonious quasiuniform association models applied to Danish occupational mobility data. Journal of the Japan Statistical Society 20 1322.
 Tomizawa,S.(1990): A simple decomposition for linear diagonalsparameter symmetry model and its application to unaided vision data. Bulletin of the Biometric Society of Japan 11 18.
 Tomizawa,S.(1990): Quasidiagonalsparameter symmetry model for square contingency tables with ordered categories. Calcutta Statistical Association Bulletin 39 5361.
 Tomizawa,S.(1990): A decomposition of linear diagonalsparameter symmetry model for square contingency tables with ordered categories. Biometrical Journal 32 761766, Germany.
 Tomizawa,S.(1990): Polynomial diagonalsparameter symmetry model for square contingency tables with ordered categories. Statistica 50 171178, Italy.
 Tomizawa,S.(1990): A decomposition of Akaike's information criterion for the conditional symmetry model. Statistics 21 569575, Germany.
 Tomizawa,S.(1990): Models having structure of various symmetry plus diagonal exponential frequencies applied to data from endometrial cancer study. Biometrical Journal 32 835841, Germany.
 Tomizawa,S.(1990): A multiplicative model of marginal homogeneity plus marginal pointsymmetry plus independence for square contingency tables. Statistica 50 327332, Italy.
 富澤貞男，寒河江雅彦，国澤清典 (1990): １因子情報路モデルからの隔たりを測る尺度. 応用統計学 19 183187.
 Tomizawa,S.(1990): Another linear diagonalsparameter symmetry model for square contingency tables with ordered categories. South African Statistical Journal: Journal of the South African Statistical Association 24 117125.
 Tomizawa,S.(1991): A simple model of symmetry plus quasiindependence and its application to the Connecticut blood pressure data. BiometriePraximetrie: Journal of the Biometric Society of Belgium 31 1522.
 Tomizawa,S.(1991): Shannon entropy type measure of departure from uniform association in crossclassification having ordered categories. Statistics and Probability Letters 12 547550, U.S.A.
 Tomizawa,S.(1991): A simple decomposition for symmetry model in 3 x 3 contingency table. Bulletin of the Biometric Society of Japan 12 14.
 Tomizawa,S.(1991): Diagonal uniform association symmetry model for square contingency tables with ordered categories. The New Zealand Statistician 26 1017.
 Tomizawa,S.(1991): A multiplicative model imposed more restrictions on the quasisymmetry model for the analysis of square contingency tables. Biometrical Journal 33 573577, Germany.
 Tomizawa,S.(1991): Decompositions of polynomial diagonalsparameter symmetry models for square contingency tables with ordered categories. Journal of the Japan Statistical Society 21 173180.
 Tomizawa,S.(1991): A model of uniform association plus twodiagonalsparameter and its application to occupational mobility table data. Statistical Papers: Statistische Hefte 32 243252, Germany.
 Tomizawa,S.(1991): Decomposing the marginal homogeneity model into two models for square contingency tables with ordered categories. Calcutta Statistical Association Bulletin 41 201207.
 Tomizawa,S.(1991): Measuring how degree Pr(X < Y) is greater than Pr(X > Y) for square contingency tables with ordered categories. The Aligarh Journal of Statistics 11 14.
 Tomizawa,S.(1991): An extended linear diagonalsparameter symmetry model for square contingency tables with ordered categories. Metron: International Journal of Statistics 49 401409, Italy.
 Tomizawa,S.(1991): Another uniform association model applied to car accident data of 2 x 3 table. Philippine Statistician 40 99103.
 Tomizawa,S. and Sagae,M.(1991): A model having structure of extended marginal homogeneity plus maindiagonal equiprobability and its application to the analysis of repeated TVChannel selection data. Statistica 51 185189, Italy.
 Tomizawa,S.(1992): A decomposition of conditional symmetry model and separability of its test statistic for square contingency tables. Sankhya: The Indian Journal of Statistics, Ser.B 54 3641.
 Tomizawa,S.(1992): More parsimonious linearbylinear association model in the analysis of crossclassifications having ordered categories. Biometrical Journal 34 129140, Germany.
 Tomizawa,S.(1992): Multiplicative models with further restrictions on the usual symmetry model. Communications in StatisticsTheory and Methods 21 693710, U.S.A.
 Tomizawa,S.(1992): A parsimonious quasidiagonalsparameter symmetry model applied to unaided vision data. Biometrical Letters: Journal of the Polish Biometric Society 29 3740.
 Tomizawa,S.(1992): A model of symmetry with exponents along every subdiagonal and its application to data on unaided vision of pupils at Japanese elementary schools. Journal of Applied Statistics 19 509512, United Kingdom.
 Tomizawa,S.(1992): An agreement model having structure of symmetry plus maindiagonal equiprobability. Journal of the Korean Statistical Society 21 179185.
 Tomizawa,S.(1992): Measure of departure from symmetric association in square contingency tables with ordered categories. Journal of the Japanese Society of Computational Statistics 5 4349.
 Tomizawa,S. and Murata,M.(1992): Gauss discrepancy type measure of degree of residuals from symmetry for square contingency tables. Journal of the Korean Statistical Society 21 5969.
 Tomizawa,S.(1993): Orthogonal decomposition of pointsymmetry model for twoway contingency tables. Journal of Statistical Planning and Inference 36 91100, U.S.A.
 Tomizawa,S.(1993): Exact test of uniform association in a 2 x 3 table. Biometrical Journal 35 451454, Germany.
 Tomizawa,S.(1993): Diagonalsparameter symmetry model for cumulative probabilities in square contingency tables with ordered categories. Biometrics: Journal of the International Biometric Society 49 883887, U.S.A.
 Tomizawa,S.(1993): Minimum oddsratio distance measure of departure from uniform association in crossclassification having ordered categories. Pakistan Journal of Statistics 9 109115.
 Tomizawa,S.(1993): Exact test for diagonalsparameter symmetry model in a 3 x 3 table with ordered categories. The Egyptian Statistical Journal 37 150154.
 Tomizawa,S.(1993): A decomposition for quasisymmetry model in a 4 x 4 contingency table and its application to unaided vision data. BiometriePraximetrie: Journal of the Biometric Society of Belgium 33 16.
 Tomizawa,S.(1993): A decomposition of the marginal homogeneity model for square contingency tables with ordered categories. Calcutta Statistical Association Bulletin 43 123125.
 Tomizawa,S.(1993): A measure of departure from no threefactor interaction model in a 2 x 2 x k contingency table. Journal of Statistical Research 27 18.
 Tomizawa,S.(1993): A simple statistic to test generalized palindromic symmetry model in a 4 x 4 contingency table. Questiio: Journal of the Biometric Society of Spain 17 3338.
 Tomizawa,S.(1994): Two kinds of measures of departure from symmetry in square contingency tables having nominal categories. Statistica Sinica 4 325334, U.S.A. and Taipei.
 Tomizawa,S.(1994): Uniform association diamond model for square contingency tables with ordered categories. Journal of the Japan Statistical Society 24 8388.
 Tomizawa,S.(1995): Measures of departue from global symmetry for square contingency tables with ordered categories. Behaviormetrika 22 9198.
 Tomizawa,S. (1995): Double independence model for a 2 x 2 contingency table with the same classifications and their application to data. Allgemeines Statistisches Archiv: Journal of the German Statistical Society 79 140145.
 Tomizawa,S.(1995): Measures of departure from marginal homogeneity for contingency tables with nominal categories. Journal of the Royal Statistical Society, Ser.D; The Statistician 44 425439.
 Tomizawa,S.(1995): A generalization of the marginal homogeneity model for square contingency tables with ordered categories. Journal of Educational and Behavioral Statistics: The Official Journal of the American Educational Research Association and the American Statistical Association 20 349360.
 Tomizawa,S., Seo,T. and Fujino,K.(1995): Measures of departure from logit and global uniform association in crossclassifications having ordered categories. Pakistan Journal of Statistics 11 191201.
 Tomizawa,S., Seo,T. and Kikuchi,S. (1996): Normal approximation of a discrete distribution on exact test of uniform association in a 2 x 3 Table. Biometrical Journal 38 711715, Germany.
 Tomizawa,S., Seo,T. and Minaguchi,J. (1996): Decomposition of bivariate symmetric density function. Calcutta Statistical Association Bulletin 46 129133.
 Sagae,M. and Tomizawa, S. (1996): A measure of departure from entropy model with application. Research Report of the Faculty of Engineering, Gifu University 46 6165.
 Tomizawa,S., Sagae,M. and Kunisawa,K. (1997): Pearson's chisquared type measure of departure from an entropy model. Mathematica Japonica 45 3942.
 Tomizawa,S., Seo,T. and Ebi,M. (1997): Generalized proportional reduction in variation measure for twoway contingency tables. Behaviormetrika 24 193201.
 Tomizawa,S., Seo,T. and Yamamoto,H. (1998): Powerdivergencetype measure of departure from symmetry for square contingency tables that have nominal categories. Journal of Applied Statistics 25 387398, United Kingdom.
 Tomizawa,S. and Saitoh,K. (1998): Generalized measure of departure from global symmetry for square contingency tables with ordered categories. Journal of the Korean Statistical Society 27 289303.
 Tomizawa,S. (1998): A decomposition of the marginal homogeneity model into three models for square contingency tables with ordered categories. Sankhya: The Indian Journal of Statistics, Ser.B 60 293300.
 Tomizawa,S. and Konuma, T. (1998): Decomposition of bivariate pointsymmetric density function. Calcutta Statistical Association Bulletin 48 2127.
 Tomizawa,S. and Ebi,M. (1998): Generalized proportional reduction in variation measure for multiway contingency tables. Journal of Statistical Research 32 7584.
 Tomizawa,S. and Saitoh,K. (1999): Measure of departure from conditional symmetry for square contingency tables with ordered categories. Journal of the Japan Statistical Society 29 6578.
 Tomizawa,S. and Suzuki,J. (1999): Quasiindependence and conditional symmetry models for incomplete 2 x 2 x 2 contingency tables. Journal of Statistical Research 33 1526.
 Tomizawa,S. and Saitoh,K. (1999): KullbackLeibler information type measure of departure from conditional symmetry and decomposition of measure from symmetry for contingency tables. Calcutta Statistical Association Bulletin 49 3139.
 Tomizawa,S. and Machida,M. (1999): Measure of proportional reduction in variation for multiway contingency tables with multiple response variables. The Egyptian Statistical Journal 43 167182.
 Tomizawa,S., Miyamoto,N. and Horiguchi,H. (2000): Measure of departure from diamond model and its application to unaided vision data. Japanese Journal of Biometrics 20 181191.
 Tomizawa,S., Miyamoto,N. and Hatanaka,Y. (2001): Measure of asymmetry for square contingency tables having ordered categories. The Australian and New Zealand Journal of Statistics 43 335349.
 Tomizawa,S., Sagae,M. and Uehara,M. (2001): Powerdivergence type measure of departure from an entropy model. Advances and Applications in Statistics 1 149163.
 Tomizawa,S. and Makii,T. (2001): Generalized measures of departure from marginal homogeneity for contingency tables with nominal categories. Journal of Statistical Research 35 124.
 Tomizawa,S., Hirano, T. and Ikeno, J. (2002): Oddsratio distance measures of departure from three row effects models for twoway contingency tables. The Egyptian Statistical Journal 46 121.
 Tomizawa,S., Miyamoto,N. and Yajima,R. (2002): Proportional Reduction in Variation Measure for NominalOrdinal Contingency Tables. Calucutta Statistical Association Bulletin 53 167183.
 Tomizawa,S. and Kato,Y. (2003): Measure of diagonalsparameter symmetry and decomposition of measure of subsymmetry for square contingency tables with ordered categories. Far East Journal of Theoretical Statistics 9 8196.
 Tomizawa,S., Miyamoto,N. and Ashihara,N. (2003): Measure of departure from marginal homogeneity for square contingency tables having ordered categories. Behaviormetrika 30 173193.
 Miyamoto, N., Nishime, M. and Tomizawa, S. (2003): Kendall's taub type measure of association between difference and sum variables for square contingency tables: application to unaided vision data. Biometrical Letters: Journal of the Polish Biometric Society 40 2334.
 Tomizawa,S. and Yukawa,T. (2003): Proportional reduction in variation measure of departure from cumulative dichotomous independence for square contingency tables with same ordinal classifications. Far East Journal of Theoretical Statistics 11 133165.
 Tomizawa,S., Miyamoto,N. and Funato,R. (2004): Conditional difference asymmetry model for square contingency tables with nominal categories. Journal of Applied Statistics 31 271277, United Kingdom.
 Tahata,K., Miyamoto,N. and Tomizawa,S. (2004): Measure of departure from quasisymmetry and BradleyTerry models for square contingency tables with nominal categories. Journal of the Korean Statistical Society 33 129147.
 Tomizawa,S., Miyamoto,N. and Houya,H. (2004): Generalization of Cramer's coefficient of association for contingency tables. South African Statistical Journal: Journal of the South African Statistical Association 38 124.
 Miyamoto,N., Ohtsuka,W. and Tomizawa,S. (2004): Linear diagonalsparameter symmetry and quasisymmetry models for cumulative probabilities in square contingency tables with ordered categories. Biometrical Journal 46 664674, Germany and AustroSwiss.
 Tomizawa,S. and Yukawa,T. (2004): Proportional reduction in variation measure for twoway contingency tables with ordered categories. Journal of Statistical Research 38 4559.
 Miyamoto,N., Usui,E. and Tomizawa,S. (2005): Generalized total uncertainty measure for twoway contingency table with nominal categories. The Pacific and Asian Journal of Mathematical Sciences 1 2339.
 井上鑑，宮本暢子，篠原聡，富澤貞男 (2005): 分割表解析における尤度比検定とAICによる最適モデルの異なる選択についての注意．明星大学研究紀要 13 8999.
 Tomizawa,S., Miyamoto N. and Yamane,S. (2005): Powerdivergencetype measure of departure from diagonalsparameter symmetry for square contingency tables with ordered categories. Statistics 39 107115, Germany.
 Miyamoto, N. and Tomizawa, S. (2005): Multiple measures of departure from marginal homogeneity for collapsed 2x2 tables in a square contingency table with ordered categories. Aligarh Journal of Statistics 25 6785.
 Miyamoto, N., Shinohara, S., Inoue, A. and Tomizawa, S. (2005): A note on different selection of bestfitting model by likelihood ratio test and Akaike information criterion for the analysis of contingency tables. Advances and Applications in Statistics 5 301312.
 Miyamoto, N., Niibe, K. and Tomizawa, S. (2005). Decompositions of marginal homogeneity model using cumulative logistic models for square contingency tables with ordered categories. Austrian Journal of Statistics 34 361373.
 Miyamoto,N., Tahata,K., Ebie,H. and Tomizawa,S. (2006): Marginal inhomogeneity models for square contingency tables with nominal categories. Journal of Applied Statistics 33 203215, United Kingdom.
 Tahata,K. and Tomizawa,S. (2006): Decompositions for extended double symmetry models in square contingency tables with ordered categories. Journal of the Japan Statistical Society 36 91106.
 Tomizawa, S., Miyamoto, N. and Ouchi, M. (2006): Decompositions of symmetry model into marginal homogeneity and distance subsymmetry in square contingency tables with ordered categories. Revstat: Statistical Journal 4 153161.
 Tomizawa, S. and Tokunaga, S. (2006): Incomplete symmetry and conditional symmetry models for square contingency tables with ordered categories. Far East Journal of Theoretical Statistics 19 3342.
 Tahata, K., Iwashita, T. and Tomizawa, S. (2006): Measure of departure from symmetry of cumulative marginal probabilities for square contingency tables with ordered categories. SUT Journal of Mathematics 42 729.
 富澤貞男 (2006): 統計学における正方分割表の解析．日本数学会誌「数学」 58 263287.
 Tahata, K., Tajima, K. and Tomizawa, S. (2006): A measure of asymmetry of marginal ridits for square contingency tables with ordered categories. Journal of the Japanese Society of Computational Statistics 19 6985.
 Tomizawa, S., Miyamoto, N. and Yamamoto, K. (2006): Decomposition for polynomial cumulative symmetry model in square contingency tables with ordered categories. Metron: International Journal of Statistics 64 303314, Italy.
 Tomizawa, S. and Sakurai, M. (2006): Decomposing independence model using collapsed tables for contingency tables having ordered categories. Brazilian Journal of Probability and Statistics: An Institute of Mathematical Statistics (IMS) supported Journal 20 191198.
 Tomizawa, S., Miyamoto, N. and Iwamoto, M. (2006): Linear columnparameter symmetry model for square contingency tables: application to decayed teeth data. Biometrical Letters: Journal of the Polish Biometric Society 43 9198.
 Tomizawa, S., Miyamoto, N., Yamamoto, K. and Sugiyama, A. (2007): Extensions of linear diagonalsparameter symmetry and quasisymmetry models for cumulative probabilities in square contingency tables. Statistica Neerlandica: Journal of the Netherlands Society for Statistics and Operations Research 61 273283.
 Tomizawa, S., Miyamoto, N. and Ohba, N. (2007): Improved approximate unbiased estimators of measures of asymmetry for square contingency tables. Advances and Applications in Statistics 7 4763.
 Miyamoto, N., Tamura, T. and Tomizawa, S. (2007): Generalized measure of association for contingency tables. JP Journal of Biostatistics 1 2537.
 Tahata, K., Katakura, S. and Tomizawa, S. (2007): Decompositions of marginal homogeneity model using cumulative logistic models for multiway contingency tables. Revstat: Statistical Journal 5 163176.
 Yamamoto, K. and Tomizawa, S. (2007): Decomposition of measure for marginal homogeneity in square contingency tables with ordered categories. Austrian Journal of Statistics 36 105114.
 Tomizawa, S. and Miyamoto, N. (2007): Diagonal uniform association symmetry models for cumulative probabilities in square tables. Advances in Statistical Analysis: Journal of the German Statistical Society 91 269278.
 Tomizawa, S. and Tahata, K. (2007): The analysis of symmetry and asymmetry: Orthogonality of decomposition of symmetry into quasisymmetry and marginal symmetry for multiway tables. Journal de la Societe Francaise de Statistique: Journal of the French Statistical Society 148 336.
 Yamamoto, H., Iwashita, T. and Tomizawa, S. (2007): Decomposition of symmetry into ordinal quasisymmetry and marginal equimoment for multiway tables. Austrian Journal of Statistics 36 291306.
 Yamamoto, K., Furuya, Y. and Tomizawa, S. (2007): Measure of departure from extended marginal homogeneity for square contingency tables with ordered categories. Revstat: Statistical Journal, 5 269283.
 Yamamoto, K. and Tomizawa, S. (2007): A measure of asymmetry for multiway contingency tables with ordered categories. Journal of the Japanese Society of Computational Statistics, 20 3964.
 Tomizawa, S., Yamamoto, K. and Tahata, K. (2007): An entropy measure of departure from pointsymmetry for twoway contingency tables. Symmetry: Culture and Science; Journal of International Symmetry Association, 18 279297.
 Tomizawa, S., Miyamoto, N. and Sakurai, M. (2008): Decomposition of independence model and separability of its test statistic for twoway contingency tables with ordered categories. Advances and Applications in Statistics, 8 209218.
 Yamamoto, K. and Tomizawa, S. (2008): A generalization of cumulative symmetry models and its decomposition for square contingency tables with ordered categories. Far East Journal of Theoretical Statistics, 24 201211.
 Tahata, K., Takazawa, A. and Tomizawa, S. (2008): Collapsed symmetry model and its decomposition for multiway tables with ordered categories. Journal of the Japan Statistical Society, 38 325334.
 Tahata, K., Tomisato, R. and Tomizawa, S. (2008): An improved approximate unbiased estimator of logodds ratio for 2x2 contingency tables. Advances and Applications in Statistics, 9 112.
 Yamamoto, K., Tahata, K., Miyamoto, N. and Tomizawa, S. (2008): Comparison between several square tables data using models of symmetry and asymmetry. Quantum Probability and White Noise Analysis: Quantum BioInformatics, 21 337349.
 Tahata, K., Miyamoto, N., Sasajima, T. and Tomizawa, S. (2008): Expected mean squared error of estimators for symmetry and asymmetry models for contingency tables. International Journal of Pure and Applied Mathematics, 46 389401, Bulgaria.
 Tahata, K. and Tomizawa, S. (2008): Orthogonal decomposition of pointsymmetry for multiway tables. Advances in Statistical Analysis: Journal of the German Statistical Society, 92 255269.
 Tahata, K., Yamamoto, H. and Tomizawa, S. (2008): Orthgonality of decompositions of symmetry into extended symmetry and marginal equimoment for multiway tables with ordered categories. Austrian Journal of Statistics, 37 185194.
 Tahata, K., Miyamoto, N. and Tomizawa, S. (2008): Decomposition of independence using Pearson, Kendall and Spearman's correlations and association model for twoway classifications. Far East Journal of Theoretical Statistics, 25 273283.
 Tahata, K., Iwashita, T. and Tomizawa, S. (2008): Measure of departure from conditional marginal homogeneity for square contingency tables with ordered categories. Statistics, 42 453466, Germany.
 Yamamoto, K., Miyamoto, N., Tsuboi, H. and Tomizawa, S. (2008): Distance measure of departure from symmetry for square contingency tables with nominal categories. International Journal of Pure and Applied Mathematics, 48 483489, Bulgaria.
 Tahata, K., Kobayashi, H. and Tomizawa, S. (2008): Conditional marginal cumulative logistic models and decomposition of marginal homogeneity model for multiway tables. Journal of Statistics and Applications, 3 239252.
 Yamamoto, K. and Tomizawa, S. (2008): A measure of linear diagonalsparameter symmetry for square contingency tables with ordered categories. Model Assisted Statistics and Applications: An International Journal, 3 335344, The Netherlands.
 Yamamoto, K., Imai, H. and Tomizawa, S. (2008): Orthogonal decomposition of symmetry into conditional and global symmetry for threeway contingency tables with ordered categories. JP Journal of Biostatistics, 2 247261.
 Yamamoto, K., Kurakami, H., Iwashita, T. and Tomizawa, S. (2008): Contaminated normal type symmetry model and decomposition of symmetry for square contingency tables. Journal of Statistical Theory and Practice, 2 651661, U.S.A..
 Tahata, K. and Tomizawa, S. (2008): Generalized marginal homogeneity model and its relation to marginal equimoments for square contingency tables with ordered categories. Advances in Data Analysis and Classification; Journal of the Italian, German, and Japanese Classification Societies, 2 295311.
 Yamamoto, K., Ban, Y., and Tomizawa, S. (2008): Generalized measure of departure from no threefactor interaction model for 2x2xK contingency tables. Entropy: An International and Interdisciplinary Journal of Entropy and Information Studies, 10 776785, Switzerland.
 Tahata, K., Yamamoto, K., Yamada, A., and Tomizawa, S. (2009): Generalized measures of departure from symmetry for square contingency tables. Behaviormetrika, 36 7586.
 Yamamoto, K. and Tomizawa, S. (2009): Measure of proportional reduction in variation and measure of agreement for contingency tables with ordered categories. International Journal of Applied Mathematics and Statistics, 14 323.
 Tahata, K., Toyoda, T. and Tomizawa, S. (2009): The delta symmetry model for square contingency tables. Advances and Applications in Statistical Sciences, 1 2530.
 Tahata, K., Yamamoto, K., Nagatani, N. and Tomizawa, S. (2009): A measure of departure from average symmetry for square contingency tables with ordered categories. Austrian Journal of Statistics, 38 101108.
 Tahata, K., Yamamoto, K., Miyamoto, N. and Tomizawa, S. (2009): Analysis of several social mobility data using measure of departure from symmetry. Quantum Probability and White Noise Analysis: Quantum BioInformatics II, 24 192204.
 Iki, K., Tahata, K. and Tomizawa, S. (2009): Ridit score type quasisymmetry and decomposition of symmetry for square contingency tables with ordered categories. Austrian Journal of Statistics, 38 183192.
 Tahata K. and Tomizawa, S. (2009): Decomposition of symmetry using tworatiosparameter symmetry model and orthogonality for square contingency tables. Journal of Statistics; Advances in Theory and Applications, 1 1933.
 Tahata, K., Yamamoto, K. and Tomizawa, S. (2009): Normal distribution type symmetry model for square contingency tables with ordered categories. The Open Statistics and Probability Journal, 1 3237.
 Tahata, K. and Tomizawa, S. (2009): Decomposition of diagonalsparameter symmetry model and orthogonality of its test statistic for square contingency tables with ordered categories. Journal of Statistical Theory and Applications, 8 406415, U.S.A.
 Tomizawa, S. (2009): Analysis of square contingency tables in statistics. American Mathematical Society Translations, Series. 2, 227 147174.
 Tahata, K. and Tomizawa, S. (2010): Double linear diagonalsparameter symmetry and decomposition of double symmetry for square tables. Statistical Methods and Applications: Journal of the Italian Statistical Society, 19 307318.
 Tahata, K., Yamamoto, K., Miyamoto, N. and Tomizawa, S. (2010): Comparison of square contingency tables using measure of departure from marginal homogeneity. Quantum Probability and White Noise Analysis: Quantum BioInformatics III, 26 369379.
 Yamamoto, K. and Tomizawa, S. (2010): Symmetry plus quasi uniform association model and its orthogonal decomposition for square contingency tables. Journal of Modern Applied Statistical Methods, 9 255262, U.S.A.
 Iki, K., Tahata, K. and Tomizawa, S. (2010): Decomposition of marginal homogeneity into logit and mean ridits equality for square contingency tables. Journal of Mathematics and Statistics, 6 6467, U.S.A.
 Miyamoto, N., Kato, T. and Tomizawa, S. (2010): A measure of departure from diagonalsparameter symmetry based on association measure for square contingency tables. Journal of Statistics: Advances in Theory and Applications, 3, 116.
 Yamamoto, K., Hori, K. and Tomizawa, S. (2010): Measure for no threefactor interaction model in threeway contingency tables. American Journal of Biostatistics, 1 1722.
 Tahata, K., Tokuno, H. and Tomizawa, S. (2010): On test of marginal pointsymmetry in multiway tables. Advances and Applications in Statistical Sciences, 3 112.
 Yamamoto, K., Tahata, K., Hatori, A. and Tomizawa, S. (2010): Measure of departure from collapsed symmetry for multiway contingency tables with ordered categories. Journal of the Japan Statistical Society, 40 97109.
 Kurakami, H., Tahata, K. and Tomizawa, S. (2010): Extension of the marginal cumulative logistic model and decompositions of marginal homogeneity for multiway tables. Journal of Statistics: Advances in Theory and Applications, 3 135152.
 Yamamoto, K., Miyamoto, N. and Tomizawa, S. (2010): Harmonic, geometric and arithmetic means type uncertainty measures for twoway contingency tables with nominal categories. Advances and Applications in Statistics, 17 143159.
 Yamamoto, K. and Tomizawa, S. (2010): Measures of proportional reduction in error for twoway contingency tables with nominal categories. Biostatistics, Bioinformatics and Biomathematics, 2 4352.
 Yamamoto, K., Komatsu, M. and Tomizawa, S. (2010): Measure of departure from doublesymmetry for square contingency tables. Journal of Statistics and Applications, 5 105118.
 Tahata, K., Miyazawa, K. and Tomizawa, S. (2010): Measure of departure from average cumulative symmetry for square contingency tables with ordered categories. American Journal of Biostatistics, 1 6266.
 Tahata, K., Tomita, A. and Tomizawa, S. (2010): Measures of departure from BradleyTerry model for square tables: Application to Baseball. International Journal of Sports Science and Engineering, 4 195208.
 Yamamoto, K., Tahata, K., Suzuki, M., and Tomizawa, S. (2011): Measure of departure from marginal pointsymmetry for twoway contingency tables. Statistica, 71 367380 Italy.
 Tahata, K., Ando, S. and Tomizawa, S. (2011): Ridit score type asymmetry model and decomposition of symmetry for square contingency tables. Model Assisted Statistics and Applications: An International Journal, 6 279286. The Netherlands.
 Yamamoto, K., Ando, S. and Tomizawa, S. (2011): A measure of departure from average marginal homogeneity for square contingency tables with ordered categories. Revstat: Statistical Journal, 9 115126.
 Yamamoto, K., Fukuda, M. and Tomizawa, S. (2011): Distance measure of asymmetry for square contingency tables with ordered categories. Journal of Statistical Theory and Applications, 10 5562.
 Kurakami, H., Yamamoto, K. and Tomizawa, S. (2011): Generalized exponential symmetry model and orthogonal decomposition of symmetry for square tables. The Open Statistics and Probability Journal, 3 16.
 Tahata, K., Inoue, T. and Tomizawa, S. (2011): Risk of estimators for point symmetry and double symmetry models for square contingency tables. International Journal of Pure and Applied Mathematics, 66 2532.
 Tahata, K. and Tomizawa, S. (2011): Measure for uniform association based on concordant and discordant pairs for crossclassifications. Journal of Statistical Theory and Practice, 5 349356, U.S.A.
 Yamamoto, K., Ando, S. and Tomizawa, S. (2011): Measure of departure from ordinal quasisymmetry for square contingency tables. Journal of the Japanese Society of Computational Statistics, 24 2738.
 Yamamoto, K., Tahata, K., Miyamoto, N. and Tomizawa, S. (2011): Analysis of several categorical data using measure of proportional reduction in variation. Quantum Probability and White Noise Analysis: Quantum BioInformatics IV, 28 339354.
 田畑耕治，富澤貞男 (2011): 多元分割表統計解析における対称性のモデリング．日本数学会誌「数学」 63 338356.
 Iki, K., Tahata, K. and Tomizawa, S. (2011): On partitioning conditional independence model for threeway contingency tables. Model Assisted Statistics and Applications: An International Journal, 6 349355.
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Tahata, K., Yamamoto, K. and Tomizawa S. (2014): Waldtype measure of departure from symmetry for square contingency tables with nominal categories. SUT Journal of Mathematics, 50 297309.

Tahata, K. and Tomizawa, S. (2014). Symmetry and asymmetry models and decompositions of models for contingency tables. SUT Journal of Mathematics, 50 131165.

Yamamoto, K., Shimada, F. and Tomizawa, S. (2015): Measure of departure from symmetry for the analysis of collapsed square contingency tables with ordered categories. Journal of Applied Statistics, 42 866875.

Saigusa, Y., Tahata, K. and Tomizawa, S. (2015). Orthogonal decomposition of symmetry model using ordinal quasisymmetry model based on fdivergence for square contingency tables. Statistics and Probability Letters, 101 3337.

Iki, K., Shibuya, A. and Tomizawa, S. (2015). Extended diagonal exponent symmetry model and its orthogonal decomposition in square contingency tables with ordered categories. Open Journal of Statistics, 5 262272.

Tahata, K. and Tomizawa, S. (2015). Modeling of symmetry for statistical analysis of multiway contingency tables. Sugaku Exposition; Journal published by American Mathematical Society, 28 2947.

Yamamoto, K., Ohama, M. and Tomizawa, S. (2015). Decomposition of generalized linear diagonalsparameter symmetry model for square contingency tables. Annals of Biometrics and Biostatistics, 2 17.

Ando, S., Tahata, K. and Tomizawa, S. (2015). Measure of departure from generalized marginal homogeneity model for square contingency tables with ordered categories. SUT Journal of Mathematics, 51 99117.

Tahata, K. and Tomizawa, S. (2015): Ordinal quasi pointsymmetry and decomposition of pointsymmetry for crossclassifications.
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Tahata, K., Miyamoto, N. and Tomizawa, S. (2015). Decomposition of independence using the logit uniform association model and equality of concordance and discordance for twoway classifications. Open Journal of Statistics, 5 514518.

Tahata, K., Amano, N. and Tomizawa, S. (2015). An extended marginal homogeneity for square contingency tables with ordered categories. Journal of Applied Probability and Statistics, 10 3340.

Iki, K., Shibuya, A. and Tomizawa, S. (2015). Generalized diagonal exponent symmetry model and its orthogonal decomposition for square contingency tables with ordered categories. Journal of Statistics: Advances in Theory and Applications 14 207220.

Yamamoto, K., Aizawa, M. and Tomizawa, S. (2016). Decomposition of sumsymmetry model for ordinal square contingency tables. European Journal of Statistics and Probability 4 1219.

Saigusa, Y., Tahata, K. and Tomizawa, S. (2016): Decompositions of symmetry using extended palindromic symmetry models for square contingency tables. Journal of Statistical Theory and Practice, 10 16.

Tahata, K., Oyama, T., and Tomizawa, S. (2016). Decomposition of symmetry using cumulative subasymmetry model for square contingency tables. Statistical Research Letters 5 1721.

Yamamoto, K., Nakane, H. and Tomizawa, S. (2016). Symmetry model based on Bivariate normal distribution for square contingency tables with ordered categories. Journal of Statistics: Advances in Theory and Applications 15 7184.

Saigusa, Y., Tahata, K. and Tomizawa, S. (2016). Decomposition of pointsymmetry using ordinal quasi pointsymmetry for ordinal multiway tables. Open Journal of Statistics 6 381386.

Yamamoto, K., Matsuda Y. and Tomizawa, S. (2016). Collapsed double symmetry model and its decomposition for square contingency tables. International Journal of Statistics and Probability 5 3137, Canada.

Iki, K., Shibuya, A., and Tomizawa, S. (2016). Diagonal exponent conditional symmetry model for square contingency tables with ordered categories. International Journal of Statistics and Probability 5 3844, Canada.

Saigusa, Y., Tahata, K. and Tomizawa, S. (2016). A measure of departure from secondorder marginal symmetry for multiway tables with nominal categories. SUT Journal of Mathematics, 52 119.

Saigusa, Y., Tahata, K. and Tomizawa, S. (2016). Measure of departure from partial symmetry for square contingency tables. Journal of Mathematics and Statistics 12 152156.

Yamamoto, K., Aizawa, M. and Tomizawa, S. (2016). Measure of departure from sumsymmetry model for square contingency tables with ordered categories. Journal of Statistics: Advances in Theory and Applications 16 1743.

Iki, K., Suto, T., and Tomizawa, S. (2016). A generalized asymmetry model for square contingency tables with ordered categories.
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Tahata, K., Naganawa, M., and Tomizawa, S. (2016). Extended linear asymmetry model and separation of symmetry for square contingency tables.
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Kurakami, H., Negishi, N., and Tomizawa, S. (2017). On decomposition of pointsymmetry for square contingency tables with ordered categories.
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Ando, S., Tahata, K., and Tomizawa, S. (2017). Visualized measure vector of departure from symmetry for square contingency tables.
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Iki, K. and Tomizawa, S. (2017). Improved estimator of measure for marginal homogeneity using marginal odds in square contingency tables.
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Tahata, K., Maeda, R., and Tomizawa, S. (2017). Scaled double asymmetry model and decomposition of double symmetry for square tables. SUT Journal of Mathematics 53 89105.

Tahata, K., Miyamoto, N., and Tomizawa, S. (2018). Decomposition of diagonalsparameter symmetry model using the diagonal uniform association symmetry model for square contingency tables. Journal of Statistics Applications and Probability Lettres, 5 15.

Iki, K. and Tomizawa, S. (2018). Lognormal distribution type symmetry model for square contingency tables with ordered categories. Austrian Journal of Statistics 47 3948.

Iki, K., Okada, M., and Tomizawa, S. (2018). An extended bivariate tdistribution type symmetry model for square contingency tables. Open Journal of Statistics 8 249257.

Iki, K., and Tomizawa, S. (2018). Measure of departure from marginal average pointsymmetry for twoway contingency tables. Journal of Modern Applied Statistical Methods 17 120.

Iki, K. and Tomizawa, S. (2018). Double symmetric multivariate density function and its decomposition. Journal of Statistics Applications and Probability 7 18.

Iki, K., Sato, S., and Tomizawa, S. (2018). Decomposition of parsimonious independence model using Pearson, Kendall and Spearman's correlations for twoway contingency tables. International Journal of Statistics and Probability 7 105111.

Iki, K. and Tomizawa, S. (2018). Measure of departure from symmetry using cumulative probability for square contingency tables with ordered categories. Advances and Applications in Statistics, 52 401412.

Saigusa, Y., Maruyama, T., Tahata, K., and Tomizawa, S. (2018). Extended marginal homogeneity model based on complementary loglog transform for square contingency tables. International Journal of Statistics and Probability, 7 2731, Canada.

Saigusa, Y., Goda S., Yamamoto, K., and Tomizawa, S. (2018). Unrestricted normal distribution type symmetry model for square contingency tables with ordered categories. Journal of Biometrics and Biostatistics, 9 16.

Ando, S., Tahata, K., and Tomizawa, S. (2019). A bivariate index vector for measuring departure from double symmetry in square contingency tables. Advances in Data Analysis and Classification; Journal of the Italian, German, and Japanese Classification Societies, 13 519529.

Saigusa, Y., Takami, M., Ishii, A., and Tomizawa, S. (2019). Measure of departure from local symmetry for square contingency tables. International Journal of Statistics and Probability, 8 140145, Canada.

Saigusa, Y., Takami, M., Ishii, A., Nakagawa, T, and Tomizawa, S. (2019). Measure of departure from cumulative partial symmetry for square contingency tables with ordered categories. Journal of Statistics: Advances in Theory and Applications, 21 5370.

Iki, K., Nakano, H., and Tomizawa, S. (2019). Directional measure for marginal homogeneity in square contingency tables with ordered categories. Biometrical Letters: Journal of the Polish Biometric Society, 56 111.

Iki, K., Nemoto, D., and Tomizawa, S. (2019). Generalized diagonal exponent conditional symmetry models for square contingency tables with ordered categories. Journal of Statistics: Advances in Theory and Applications, 21 139155.

Ando, S., Takeuchi, T., IKi, K., and Tomizawa, S. (2019). Twodimensional measure vector of departure from marginal homogeneity in square contingency tables. Journal of Advanced Statistics, 4 1321.

Shinoda, S., Tahata, K., Iki, K., and Tomizawa, S. (2019). Extended marginal homogeneity based on complementary loglog transform for multiway tables. SUT Journal of Mathematics 55 2537.

Yoshimoto, T., Tahata, K., Saigusa, Y., and Tomizawa, S. (2019). Quasi pointsymmetry models based on fdivergence and decomposition of pointsymmetry for multiway contingency tables. SUT Journal of Mathematics 55 103131.

Yoshimoto, T., Tahata, K., Iki, K., and Tomizawa, S. (2019). Moment symmetry models and decompositions of symmetry for multiway contingency tables. Calcutta Statistical Association Bulletin, 71 8398.

Yamamoto, K., Iwama, I., and Tomizawa, S. (2020). Measure of departure from marginal homogeneity for the analysis of collapsed square contingency tables with ordered categories. Journal of Statistical Theory and Applications, 19 212222.

Shinoda, S., Yamamoto, K., Tahata, K., and Tomizawa, S. (2020). A measure of asymmetry for ordinal square contingency tables with an application to modified LANZA score data. Journal of Applied Statistics, 47 12511260.

Saigusa, Y., Kubo, Y., Tahata, K., and Tomizawa, S. (2020). A measure of departure from partial marginal homogeneity for square contingency tables. Journal of Statistics Applications and Probability Letters, 7 17.

Yoshimoto, T., Tahata, K., and Tomizawa, S. (2020). Marginal cumulative logistic model of general order for multiway contingency tables. Austrian Journal of Statistics, 49 5361.

Shinoda, S., Tahata, K., Yamamoto, K., and Tomizawa, S. (2020). Marginal continuation odds ratio model and decomposition of marginal homogeneity model for multiway contingency tables. Sankhya: The Indian Journal of Statistics, Ser. B, published online.

Saigusa, Y., Takada, T., Ishii, A., Nakagawa, T., and Tomizawa, S. (2020). Measure of departure from cumulative local symmetry for square contingency tables having ordered categories. Biometrical Letters: Journal of the Polish Biometric Society, 57 2335.

Nakagawa, T., Takei, T., Ishii, A., and Tomizawa, S. (2020). Geometric mean type measure of marginal homogeneity for square contingency tables with ordered categories. Journal of Mathematics and Statistics, 16 170175.

Ando, S., Tahata, K. and Tomizawa, S. (2020). Extended diagonal uniform association symmetry model for square contingency tables with ordinal categories.
Statistics and Probability Letters, to appear.
（投稿中の論文は略）