(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 

  1. Tomizawa,S. (1982): On the derivation of the distributions of the sample regression coefficients and residual covariance matrices. TRU Mathematics 18 81-84.
  2. Tomizawa,S.(1983): The models for symmetric cells in axa and axaxa contingency tables with ordered categories. Journal of the Japan Statistical Society 13 127-135.
  3. Tomizawa,S.(1984): Three kinds of decompositions for the conditional symmetry model in a square contingency table. Journal of the Japan Statistical Society 14 35-42.
  4. Tomizawa,S.(1985): The decompositions for point-symmetry models in two-way contingency tables. Biometrical Journal 27 895-905, Germany.
  5. Tomizawa,S.(1985): Double symmetry model and its decomposition in a square contingency table. Journal of the Japan Statistical Society 15 17-23.
  6. Tomizawa,S.(1985): Decompositions for odds-symmetry models in a square contingency table with ordered categories. Journal of the Japan Statistical Society 15 151-159.
  7. 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 63 235-239, U.S.A.
  8. Tomizawa,S.(1986): A decomposition for the inclined point-symmetry model in a square contingency table. Biometrical Journal 28 371-380, Germany.
  9. Tomizawa,S.(1986): Four kinds of symmetry models and their decompositions in a square contingency table with ordered categories. Biometrical Journal 28 387-393, Germany.
  10. 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 16 187-190.
  11. Tomizawa,S.(1987): Diagonal weighted marginal homogeneity models and decompositions for linear diagonals-parameter symmetry model. Communications in Statistics-Theory and Methods 16 477-488, U.S.A.
  12. Tomizawa,S.(1987): Decompositions for 2-ratios-parameter symmetry model in square contingency tables with ordered categories. Biometrical Journal 29 45-55, Germany.
  13. Tomizawa,S.(1987): Analysis of square contingency tables with ordered categories by a new method of applying the 1-weight modified marginal homoheneity models. Biometrical Journal 29 667-674, Germany.
  14. 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 16 131-139.
  15. Tomizawa,S.(1989): Analogy between generalized palindromic symmetry and quasi-odds symmetry models for square contingency tables with ordered categories. Bulletin of the Biometric Society of Japan 10 1-9.
  16. Tomizawa,S.(1989): Decompositions for conditional symmetry model into palindromic symmetry and modified marginal homogeneity models. The Australian Journal of Statistics 31 287-296.
  17. Tomizawa,S.(1990): The decomposition of a quasi-uniform association model and its application to the analysis of British occupational mobility table data. Behaviormetrika 27 115-121.
  18. Tomizawa,S.(1990): Parsimonious quasi-uniform association models applied to Danish occupational mobility data. Journal of the Japan Statistical Society 20 13-22.
  19. Tomizawa,S.(1990): A simple decomposition for linear diagonals-parameter symmetry model and its application to unaided vision data. Bulletin of the Biometric Society of Japan 11 1-8.
  20. Tomizawa,S.(1990): Quasi-diagonals-parameter symmetry model for square contingency tables with ordered categories. Calcutta Statistical Association Bulletin 39 53-61.
  21. Tomizawa,S.(1990): A decomposition of linear diagonals-parameter symmetry model for square contingency tables with ordered categories. Biometrical Journal 32 761-766, Germany.
  22. Tomizawa,S.(1990): Polynomial diagonals-parameter symmetry model for square contingency tables with ordered categories. Statistica 50 171-178, Italy.
  23. Tomizawa,S.(1990): A decomposition of Akaike's information criterion for the conditional symmetry model. Statistics 21 569-575, Germany.
  24. Tomizawa,S.(1990): Models having structure of various symmetry plus diagonal exponential frequencies applied to data from endometrial cancer study. Biometrical Journal 32 835-841, Germany.
  25. Tomizawa,S.(1990): A multiplicative model of marginal homogeneity plus marginal point-symmetry plus independence for square contingency tables. Statistica 50 327-332, Italy.
  26. 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 19 183-187.
  27. Tomizawa,S.(1990): Another linear diagonals-parameter symmetry model for square contingency tables with ordered categories. South African Statistical Journal: Journal of the South African Statistical Association 24 117-125.
  28. Tomizawa,S.(1991): A simple model of symmetry plus quasi-independence and its application to the Connecticut blood pressure data. Biometrie-Praximetrie: Journal of the Biometric Society of Belgium 31 15-22.
  29. Tomizawa,S.(1991): Shannon entropy type measure of departure from uniform association in cross-classification having ordered categories. Statistics and Probability Letters 12 547-550, U.S.A.
  30. Tomizawa,S.(1991): A simple decomposition for symmetry model in 3 x 3 contingency table. Bulletin of the Biometric Society of Japan 12 1-4.
  31. Tomizawa,S.(1991): Diagonal uniform association symmetry model for square contingency tables with ordered categories. The New Zealand Statistician 26 10-17.
  32. Tomizawa,S.(1991): A multiplicative model imposed more restrictions on the quasi-symmetry model for the analysis of square contingency tables. Biometrical Journal 33 573-577, Germany.
  33. Tomizawa,S.(1991): Decompositions of polynomial diagonals-parameter symmetry models for square contingency tables with ordered categories. Journal of the Japan Statistical Society 21 173-180.
  34. Tomizawa,S.(1991): A model of uniform association plus two-diagonals-parameter and its application to occupational mobility table data. Statistical Papers: Statistische Hefte 32 243-252, Germany.
  35. Tomizawa,S.(1991): Decomposing the marginal homogeneity model into two models for square contingency tables with ordered categories. Calcutta Statistical Association Bulletin 41 201-207.
  36. 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 1-4.
  37. Tomizawa,S.(1991): An extended linear diagonals-parameter symmetry model for square contingency tables with ordered categories. Metron: International Journal of Statistics 49 401-409, Italy.
  38. Tomizawa,S.(1991): Another uniform association model applied to car accident data of 2 x 3 table. Philippine Statistician 40 99-103.
  39. Tomizawa,S. and Sagae,M.(1991): A model having structure of extended marginal homogeneity plus main-diagonal equi-probability and its application to the analysis of repeated TV-Channel selection data. Statistica 51 185-189, Italy.
  40. 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 36-41.
  41. Tomizawa,S.(1992): More parsimonious linear-by-linear association model in the analysis of cross-classifications having ordered categories. Biometrical Journal 34 129-140, Germany.
  42. Tomizawa,S.(1992): Multiplicative models with further restrictions on the usual symmetry model. Communications in Statistics-Theory and Methods 21 693-710, U.S.A.
  43. Tomizawa,S.(1992): A parsimonious quasi-diagonals-parameter symmetry model applied to unaided vision data. Biometrical Letters: Journal of the Polish Biometric Society 29 37-40.
  44. 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 19 509-512, United Kingdom.
  45. Tomizawa,S.(1992): An agreement model having structure of symmetry plus main-diagonal equiprobability. Journal of the Korean Statistical Society 21 179-185.
  46. 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 43-49.
  47. 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 59-69.
  48. Tomizawa,S.(1993): Orthogonal decomposition of point-symmetry model for two-way contingency tables. Journal of Statistical Planning and Inference 36 91-100, U.S.A.
  49. Tomizawa,S.(1993): Exact test of uniform association in a 2 x 3 table. Biometrical Journal 35 451-454, Germany.
  50. Tomizawa,S.(1993): Diagonals-parameter symmetry model for cumulative probabilities in square contingency tables with ordered categories. Biometrics: Journal of the International Biometric Society 49 883-887, U.S.A.
  51. Tomizawa,S.(1993): Minimum odds-ratio distance measure of departure from uniform association in cross-classification having ordered categories. Pakistan Journal of Statistics 9 109-115.
  52. Tomizawa,S.(1993): Exact test for diagonals-parameter symmetry model in a 3 x 3 table with ordered categories. The Egyptian Statistical Journal 37 150-154.
  53. Tomizawa,S.(1993): A decomposition for quasi-symmetry model in a 4 x 4 contingency table and its application to unaided vision data. Biometrie-Praximetrie: Journal of the Biometric Society of Belgium 33 1-6.
  54. Tomizawa,S.(1993): A decomposition of the marginal homogeneity model for square contingency tables with ordered categories. Calcutta Statistical Association Bulletin 43 123-125.
  55. Tomizawa,S.(1993): A measure of departure from no three-factor interaction model in a 2 x 2 x k contingency table. Journal of Statistical Research 27 1-8.
  56. 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 33-38.
  57. Tomizawa,S.(1994): Two kinds of measures of departure from symmetry in square contingency tables having nominal categories. Statistica Sinica 4 325-334, U.S.A. and Taipei.
  58. Tomizawa,S.(1994): Uniform association diamond model for square contingency tables with ordered categories. Journal of the Japan Statistical Society 24 83-88.
  59. Tomizawa,S.(1995): Measures of departue from global symmetry for square contingency tables with ordered categories. Behaviormetrika 22 91-98.
  60. 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 79 140-145.
  61. 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 44 425-439.
  62. 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 20 349-360.
  63. Tomizawa,S., Seo,T. and Fujino,K.(1995): Measures of departure from logit and global uniform association in cross-classifications having ordered categories. Pakistan Journal of Statistics 11 191-201.
  64. 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 38 711-715, Germany.
  65. Tomizawa,S., Seo,T. and Minaguchi,J. (1996): Decomposition of bivariate symmetric density function. Calcutta Statistical Association Bulletin 46 129-133.
  66. 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 61-65.
  67. Tomizawa,S., Sagae,M. and Kunisawa,K. (1997): Pearson's chi-squared type measure of departure from an entropy model. Mathematica Japonica 45 39-42.
  68. Tomizawa,S., Seo,T. and Ebi,M. (1997): Generalized proportional reduction in variation measure for two-way contingency tables. Behaviormetrika 24 193-201.
  69. Tomizawa,S., Seo,T. and Yamamoto,H. (1998): Power-divergence-type measure of departure from symmetry for square contingency tables that have nominal categories. Journal of Applied Statistics 25 387-398, United Kingdom.
  70. 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 27 289-303.
  71. 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 60 293-300.
  72. Tomizawa,S. and Konuma, T. (1998): Decomposition of bivariate point-symmetric density function. Calcutta Statistical Association Bulletin 48 21-27.
  73. Tomizawa,S. and Ebi,M. (1998): Generalized proportional reduction in variation measure for multi-way contingency tables. Journal of Statistical Research 32 75-84.
  74. 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 65-78.
  75. Tomizawa,S. and Suzuki,J. (1999): Quasi-independence and conditional symmetry models for incomplete 2 x 2 x 2 contingency tables. Journal of Statistical Research 33 15-26.
  76. Tomizawa,S. and Saitoh,K. (1999): Kullback-Leibler information type measure of departure from conditional symmetry and decomposition of measure from symmetry for contingency tables. Calcutta Statistical Association Bulletin 49 31-39.
  77. Tomizawa,S. and Machida,M. (1999): Measure of proportional reduction in variation for multi-way contingency tables with multiple response variables. The Egyptian Statistical Journal 43 167-182.
  78. 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 20 181-191.
  79. 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 43 335-349.
  80. Tomizawa,S., Sagae,M. and Uehara,M. (2001): Power-divergence type measure of departure from an entropy model. Advances and Applications in Statistics 1 149-163.
  81. Tomizawa,S. and Makii,T. (2001): Generalized measures of departure from marginal homogeneity for contingency tables with nominal categories. Journal of Statistical Research 35 1-24.
  82. Tomizawa,S., Hirano, T. and Ikeno, J. (2002): Odds-ratio distance measures of departure from three row effects models for two-way contingency tables. The Egyptian Statistical Journal 46 1-21.
  83. Tomizawa,S., Miyamoto,N. and Yajima,R. (2002): Proportional Reduction in Variation Measure for Nominal-Ordinal Contingency Tables. Calucutta Statistical Association Bulletin 53 167-183.
  84. Tomizawa,S. and Kato,Y. (2003): Measure of diagonals-parameter symmetry and decomposition of measure of sub-symmetry for square contingency tables with ordered categories. Far East Journal of Theoretical Statistics 9 81-96.
  85. Tomizawa,S., Miyamoto,N. and Ashihara,N. (2003): Measure of departure from marginal homogeneity for square contingency tables having ordered categories. Behaviormetrika 30 173-193.
  86. Miyamoto, N., Nishime, M. and Tomizawa, S. (2003): Kendall's tau-b 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 23-34.
  87. 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 11 133-165.
  88. Tomizawa,S., Miyamoto,N. and Funato,R. (2004): Conditional difference asymmetry model for square contingency tables with nominal categories. Journal of Applied Statistics 31 271-277, United Kingdom.
  89. Tahata,K., Miyamoto,N. and Tomizawa,S. (2004): Measure of departure from quasi-symmetry and Bradley-Terry models for square contingency tables with nominal categories. Journal of the Korean Statistical Society 33 129-147.
  90. 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 1-24.
  91. Miyamoto,N., Ohtsuka,W. and Tomizawa,S. (2004): Linear diagonals-parameter symmetry and quasi-symmetry models for cumulative probabilities in square contingency tables with ordered categories. Biometrical Journal 46 664-674, Germany and Austro-Swiss.
  92. Tomizawa,S. and Yukawa,T. (2004): Proportional reduction in variation measure for two-way contingency tables with ordered categories. Journal of Statistical Research 38 45-59.
  93. Miyamoto,N., Usui,E. and Tomizawa,S. (2005): Generalized total uncertainty measure for two-way contingency table with nominal categories. The Pacific and Asian Journal of Mathematical Sciences 1 23-39.
  94. 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 89-99.
  95. Tomizawa,S., Miyamoto N. and Yamane,S. (2005): Power-divergence-type measure of departure from diagonals-parameter symmetry for square contingency tables with ordered categories. Statistics 39 107-115, Germany.
  96. 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 67-85.
  97. Miyamoto, N., Shinohara, S., Inoue, A. and Tomizawa, S. (2005): A note on different selection of best-fitting model by likelihood ratio test and Akaike information criterion for the analysis of contingency tables. Advances and Applications in Statistics 5 301-312.
  98. 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 34 361-373.
  99. 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  203-215, United Kingdom.
  100. 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 91-106.
  101. 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 4 153-161.
  102. 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 33-42.
  103. 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 7-29.
  104. 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」 58 263-287.
  105. 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 69-85.
  106. 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 64 303-314, Italy.
  107. 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 20 191-198.
  108. Tomizawa, S., Miyamoto, N. and Iwamoto, M. (2006): Linear column-parameter symmetry model for square contingency tables: application to decayed teeth data. Biometrical Letters: Journal of the Polish Biometric Society 43 91-98.
  109. Tomizawa, S., Miyamoto, N., Yamamoto, K. and Sugiyama, A. (2007): Extensions of linear diagonals-parameter symmetry and quasi-symmetry models for cumulative probabilities in square contingency tables. Statistica Neerlandica: Journal of the Netherlands Society for Statistics and Operations Research 61 273-283.
  110. 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 47-63.
  111. Miyamoto, N., Tamura, T. and Tomizawa, S. (2007): Generalized measure of association for contingency tables. JP Journal of Biostatistics 1 25-37.
  112. Tahata, K., Katakura, S. and Tomizawa, S. (2007): Decompositions of marginal homogeneity model using cumulative logistic models for multi-way contingency tables. Revstat: Statistical Journal 5 163-176.
  113. Yamamoto, K. and Tomizawa, S. (2007): Decomposition of measure for marginal homogeneity in square contingency tables with ordered categories. Austrian Journal of Statistics 36 105-114.
  114. 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 91 269-278.
  115. Tomizawa, S. and Tahata, K. (2007): The analysis of symmetry and asymmetry: Orthogonality of decomposition of symmetry into quasi-symmetry and marginal symmetry for multi-way tables. Journal de la Societe Francaise de Statistique: Journal of the French Statistical Society 148 3-36.
  116. Yamamoto, H., Iwashita, T. and Tomizawa, S. (2007): Decomposition of symmetry into ordinal quasi-symmetry and marginal equimoment for multi-way tables. Austrian Journal of Statistics 36 291-306.
  117. 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, 5 269-283.
  118. Yamamoto, K. and Tomizawa, S. (2007): A measure of asymmetry for multi-way contingency tables with ordered categories. Journal of the Japanese Society of Computational Statistics, 20 39-64.
  119. Tomizawa, S., Yamamoto, K. and Tahata, K. (2007): An entropy measure of departure from point-symmetry for two-way contingency tables. Symmetry: Culture and Science; Journal of International Symmetry Association, 18 279-297.
  120. Tomizawa, S., Miyamoto, N. and Sakurai, M. (2008): Decomposition of independence model and separability of its test statistic for two-way contingency tables with ordered categories. Advances and Applications in Statistics, 8 209-218.
  121. 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, 24 201-211.
  122. Tahata, K., Takazawa, A. and Tomizawa, S. (2008): Collapsed symmetry model and its decomposition for multi-way tables with ordered categories. Journal of the Japan Statistical Society, 38 325-334.
  123. Tahata, K., Tomisato, R. and Tomizawa, S. (2008): An improved approximate unbiased estimator of log-odds ratio for 2x2 contingency tables. Advances and Applications in Statistics, 9 1-12.
  124. 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 Bio-Informatics, 21 337-349.
  125. 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, 46 389-401, Bulgaria.
  126. Tahata, K. and Tomizawa, S. (2008): Orthogonal decomposition of point-symmetry for multi-way tables. Advances in Statistical Analysis: Journal of the German Statistical Society, 92 255-269.
  127. Tahata, K., Yamamoto, H. and Tomizawa, S. (2008): Orthgonality of decompositions of symmetry into extended symmetry and marginal equimoment for multi-way tables with ordered categories. Austrian Journal of Statistics, 37 185-194.
  128. Tahata, K., Miyamoto, N. and Tomizawa, S. (2008): Decomposition of independence using Pearson, Kendall and Spearman's correlations and association model for two-way classifications. Far East Journal of Theoretical Statistics, 25 273-283.
  129. Tahata, K., Iwashita, T. and Tomizawa, S. (2008): Measure of departure from conditional marginal homogeneity for square contingency tables with ordered categories. Statistics, 42 453-466, Germany.
  130. 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, 48 483-489, Bulgaria.
  131. Tahata, K., Kobayashi, H. and Tomizawa, S. (2008): Conditional marginal cumulative logistic models and decomposition of marginal homogeneity model for multi-way tables. Journal of Statistics and Applications, 3 239-252.
  132. Yamamoto, K. and Tomizawa, S. (2008): A measure of linear diagonals-parameter symmetry for square contingency tables with ordered categories. Model Assisted Statistics and Applications: An International Journal, 3 335-344, The Netherlands.
  133. Yamamoto, K., Imai, H. and Tomizawa, S. (2008): Orthogonal decomposition of symmetry into conditional and global symmetry for three-way contingency tables with ordered categories. JP Journal of Biostatistics, 2 247-261.
  134. 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, 2 651-661, U.S.A..
  135. 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, 2 295-311.
  136. Yamamoto, K., Ban, Y., and Tomizawa, S. (2008): Generalized measure of departure from no three-factor interaction model for 2x2xK contingency tables. Entropy: An International and Interdisciplinary Journal of Entropy and Information Studies, 10 776-785, Switzerland.
  137. Tahata, K., Yamamoto, K., Yamada, A., and Tomizawa, S. (2009): Generalized measures of departure from symmetry for square contingency tables. Behaviormetrika, 36 75-86.
  138. 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 3-23.
  139. Tahata, K., Toyoda, T. and Tomizawa, S. (2009): The delta symmetry model for square contingency tables. Advances and Applications in Statistical Sciences, 1 25-30.
  140. 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, 38 101-108.
  141. 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 Bio-Informatics II, 24 192-204.
  142. Iki, K., Tahata, K. and Tomizawa, S. (2009): Ridit score type quasi-symmetry and decomposition of symmetry for square contingency tables with ordered categories. Austrian Journal of Statistics, 38 183-192.
  143. Tahata K. and Tomizawa, S. (2009): Decomposition of symmetry using two-ratios-parameter symmetry model and orthogonality for square contingency tables. Journal of Statistics; Advances in Theory and Applications, 1 19-33.
  144. 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 32-37.
  145. Tahata, K. and Tomizawa, S. (2009): Decomposition of diagonals-parameter symmetry model and orthogonality of its test statistic for square contingency tables with ordered categories. Journal of Statistical Theory and Applications, 8 406-415, U.S.A.
  146. Tomizawa, S. (2009): Analysis of square contingency tables in statistics. American Mathematical Society Translations, Series. 2, 227 147-174.
  147. Tahata, K. and Tomizawa, S. (2010): Double linear diagonals-parameter symmetry and decomposition of double symmetry for square tables. Statistical Methods and Applications: Journal of the Italian Statistical Society, 19 307-318.
  148. 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 Bio-Informatics III, 26 369-379.
  149. 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, 9 255-262, U.S.A.
  150. 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 64-67, U.S.A.
  151. Miyamoto, N., Kato, T. and Tomizawa, S. (2010): A measure of departure from diagonals-parameter symmetry based on association measure for square contingency tables. Journal of Statistics: Advances in Theory and Applications, 3, 1-16.
  152. Yamamoto, K., Hori, K. and Tomizawa, S. (2010): Measure for no three-factor interaction model in three-way contingency tables. American Journal of Biostatistics, 1 17-22.
  153. Tahata, K., Tokuno, H. and Tomizawa, S. (2010): On test of marginal point-symmetry in multi-way tables. Advances and Applications in Statistical Sciences, 3 1-12.
  154. Yamamoto, K., Tahata, K., Hatori, A. and Tomizawa, S. (2010): Measure of departure from collapsed symmetry for multi-way contingency tables with ordered categories. Journal of the Japan Statistical Society, 40 97-109.
  155. Kurakami, H., Tahata, K. and Tomizawa, S. (2010): Extension of the marginal cumulative logistic model and decompositions of marginal homogeneity for multi-way tables. Journal of Statistics: Advances in Theory and Applications, 3 135-152.
  156. Yamamoto, K., Miyamoto, N. and Tomizawa, S. (2010): Harmonic, geometric and arithmetic means type uncertainty measures for two-way contingency tables with nominal categories. Advances and Applications in Statistics, 17 143-159.
  157. Yamamoto, K. and Tomizawa, S. (2010): Measures of proportional reduction in error for two-way contingency tables with nominal categories. Biostatistics, Bioinformatics and Biomathematics, 2 43-52.
  158. Yamamoto, K., Komatsu, M. and Tomizawa, S. (2010): Measure of departure from double-symmetry for square contingency tables. Journal of Statistics and Applications, 5 105-118.
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  160. Tahata, K., Tomita, A. and Tomizawa, S. (2010): Measures of departure from Bradley-Terry model for square tables: Application to Baseball. International Journal of Sports Science and Engineering, 4 195-208.
  161. Yamamoto, K., Tahata, K., Suzuki, M., and Tomizawa, S. (2011): Measure of departure from marginal point-symmetry for two-way contingency tables. Statistica, 71 367-380 Italy.
  162. 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, 6 279-286. The Netherlands.
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  164. 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 55-62.
  165. 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 1-6.
  166. 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 25-32.
  167. Tahata, K. and Tomizawa, S. (2011): Measure for uniform association based on concordant and discordant pairs for cross-classifications. Journal of Statistical Theory and Practice, 5 349-356, U.S.A.
  168. Yamamoto, K., Ando, S. and Tomizawa, S. (2011): Measure of departure from ordinal quasi-symmetry for square contingency tables. Journal of the Japanese Society of Computational Statistics, 24 27-38.
  169. 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 Bio-Informatics IV, 28 339-354.
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  172. Yamamoto, K., Ando, S. and Tomizawa, S. (2011): Decomposing asymmetry into extended quasi-symmetry and marginal homogeneity for cumulative probabilities in square contingency tables. Journal of Statistics: Advances in Theory and Applications, 5 1-13.
  173. Tahata, K., Yamamoto, H. and Tomizawa, S. (2011): Linear ordinal quasi-symmetry model and decomposition of symmetry for multi-way tables. Mathematical Methods of Statistics, 20 158-164, Russia.
  174. Yamamoto, K., Nozaki, Y. and Tomizawa, S. (2011): On measure of proportional reduction in error for nominal-ordinal contingency tables. Journal of Statistics and Management Systems, 14 767-773.
  175. Tahata, K., Inoue, T. and Tomizawa, S. (2011): Expected mean squared error of estimators for some symmetry models for multi-way contingency tables. Journal of Statistics and Applications, 6 1-12.
  176. Yamamoto K., Shinoda S. and Tomizawa, S. (2011): Decomposition for ordinal quasi-symmetry model in square contingency tables with ordered categories. Journal of Mathematics and Statistics, 7 314-318.
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  180. Iki, K. and Tomizawa, S. (2012): Kullback-Leibler information type measure from marginal cumulative logistic model in a two-way classification. Biostatistics, Bioinformatics and Biomathematics, 8 1-28.
  181. Yamamoto, K., Nozaki, Y. and Tomizawa, S. (2012): Measure on proportional reduction in error by arithmetic, geometric and harmonic means for multi-way contingency tables. International Journal of Statistics and Probability, 1 36-42.
  182. Tahata, K., Kawasaki, K. and Tomizawa, S. (2012). Asymmetry index on marginal homogeneity for square contingency tables with ordered categories. Open Journal of Statistics, 2 198-203.
  183. Yamamoto, K. and Tomizawa, S. (2012): Analysis of unaided vision data using new decomposition of symmetry. American Medical Journal, 3 37-42.
  184. Tahata, K., Kozai, K. and Tomizawa, S. (2012): Measure of departure from extended Bradley-Terry model for paired comparisons. International Journal of Statistics and Probability, 1 72-76.
  185. Yamamoto, K., Kinbara, T. and Tomizawa, S. (2012): Measure for marginal homogeneity based on distance power-divergence in square contingency tables. Advances and Applications in Statistical Sciences, 7 47-54.
  186. Yamamoto, K., Tahata, K. and Tomizawa, S. (2012): Some symmetry models for the analysis of collapsed square contingency tables with ordered categories. Calcutta Statistical Association Bulletin, 64 21-36 .
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  190. Yamamoto, K. and Tomizawa, S. (2012): Statistical analysis of case-control data of endometrial cancer based on new asymmetry models. Journal of Biometrics and Biostatistics, 3 1-4.
  191. Yamamoto, K., Takahashi, F., and Tomizawa, S. (2012): Double symmetry model and its orthogonal decomposition for multi-way tables. SUT Journal of Mathematics, 48 83-102.
  192. Tahata, K., Yamamoto, K., and Tomizawa, S. (2012): Decomposition of symmetry using palindromic symmetry model in a two-way classification. Journal of Statistics Applications and Probability, 1 175-178.
  193. Yamamoto, K., and Tomizawa, S. (2012): Analysis of tooth decay data in Japan using asymmetric statistical models. Open Access Medical Statistics, 2 61-64.
  194. Iki, K., Tahata, K., and Tomizawa, S. (2012): Decomposition of symmetric multivariate density function. SUT Journal of Mathematics, 48 199-211.
  195. Tahata, K., Yoshimoto, T. and Tomizawa, S. (2013): Marginal asymmetry measure based on entropy for square contingency tables with ordered categories. American Journal of Mathematics and Statistics, 3 95-98.
  196. Yamamoto, K., Shinjo, R. and Tomizawa, S. (2013): Improved measure on extended marginal homogeneity for ordinal square contingency tables. International Journal of Statistics and Probability, 2 108-112.
  197. Iki, K., Ishihara, T. and Tomizawa, S. (2013): Bivariate t-distribution type symmetry model for square contingency tables with ordered categories. Model Assisted Statistics and Applications: An International Journal, 8  315-319.
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  200. Kurakami, H., Fujimura, A. and Tomizawa, S. (2013): Incomplete diagonals-parameter symmetry model for ordered square contingency tables. Advances and Applications in Statistics, 33 107-113.
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  202. Kurakami, H., Kikuchi, H. and Tomizawa, S. (2013): Measuring departure from diagonals-parameter symmetry for ordinal square contingency tables. European Journal of Mathematical Sciences, 2 229-234.
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  205. Kurakami, H., Tahata, K. and Tomizawa, S. (2013): Generalized marginal cumulative logistic model for multi-way contingency tables. SUT Journal of Mathematics, 49 19-32.
  206. Tahata, K., Yamamoto, K. and Tomizawa, S. (2013): Decomposition of symmetry model into three models for cumulative probabilities in square contingency tables. European Journal of Pure and Applied Mathematics, 6 299-306.
  207. Yamamoto, K., Ohama, M. and Tomizawa, S. (2013): Decompositions of symmetry using generalized linear diagonals-parameter symmetry model and orthogonality of test statistic for square contingency tables. Open Journal of Statistics, 3 9-13.
  208. Yamamoto, K, Tanaka, Y. and Tomizawa, S. (2013): Sum-symmetry model and its orthogonal decomposition for square contingency tables. SUT Journal of Mathematics, 49 121-128.
  209. Yamamoto, K., Tahata, K., and Tomizawa, S. (2013): Measure of symmetry with minimum variance for square contingency tables. Proceedings 59th ISI World Statistics Congress, 3816-3820.
  210. Tahata, K., Kozai, K., and Tomizawa, S. (2014): Partitioning measure of quasi-symmetry for square contingency tables. Brazilian Journal of Probability and Statistics: An Institute of Mathematical Statistics (IMS) supported Journal, 28 353-366.
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  213. Saigusa, Y., Tahata, K. and Tomizawa, S. (2014): An extended asymmetry model for square contingency tables with ordered categories. Model Assisted Statistics and Applications: An International Journal, 9 151-157.
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  221. 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, 42 866-875.
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  225. Yamamoto, K., Ohama, M. and Tomizawa, S. (2015). Decomposition of generalized linear diagonals-parameter symmetry model for square contingency tables. Annals of Biometrics and Biostatistics, 2 1-7.
  226. 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 99-117.
  227. Tahata, K. and Tomizawa, S. (2015): Ordinal quasi point-symmetry and decomposition of point-symmetry for cross-classifications. Journal of Statistics: Advances in Theory and Applications, 14 181-194.
  228. Tahata, K., Miyamoto, N. and Tomizawa, S. (2015). Decomposition of independence using the logit uniform association model and equality of concordance and discordance for two-way classifications. Open Journal of Statistics, 5 514-518.
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  246. 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 89-105.
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  260. 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, 21 139-155.
  261. Ando, S., Takeuchi, T., IKi, K., and Tomizawa, S. (2019). Two-dimensional measure vector of departure from marginal homogeneity in square contingency tables. Journal of Advanced Statistics, 4 13-21.
  262. Shinoda, S., Tahata, K., Iki, K., and Tomizawa, S. (2019). Extended marginal homogeneity based on complementary log-log transform for multi-way tables. SUT Journal of Mathematics 55 25-37.
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  264. Yoshimoto, T., Tahata, K., Iki, K., and Tomizawa, S. (2019). Moment symmetry models and decompositions of symmetry for multi-way contingency tables. Calcutta Statistical Association Bulletin, 71 83-98.
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