Exact methods and Markov chain Monte Carlo methods of conditional inference for contingency tables

報告番号: 乙15917 ; 学位授与年月日: 2004-02-27 ; 学位の種別: 論文博士 ; 学位の種類: 博士(情報理工学) ; 学位記番号: 第15917号 ; 研究科・専攻: 情報理工学系研究科

[1]  Mitchell H. Gail,et al.  Counting the Number of r×c Contingency Tables with Fixed Margins , 1977 .

[2]  Satoshi Aoki,et al.  Invariant minimal Markov basis for sampling contingency tables with xed marginals , 2003 .

[3]  A. Dobra.  Markov bases for decomposable graphical models , 2003 .

[4]  Brian D. Ripley,et al.  Stochastic Simulation , 2005 .

[5]  Martin E. Dyer,et al.  Polynomial-time counting and sampling of two-rowed contingency tables , 2000, Theor. Comput. Sci..

[6]  R. J. Baker.  Algorithm AS 112: Exact Distributions Derived from Two-Way Tables , 1977 .

[7]  B. Sturmfels.  Gröbner bases and convex polytopes , 1995 .

[8]  Exact Stratified Linear Rank Tests for Binary Data , 1992 .

[9]  Takayuki Hibi,et al.  Toric Ideals Generated by Quadratic Binomials , 1999 .

[10]  A. Takemura,et al.  Some characterizations of minimal Markov basis for sampling from discrete conditional distributions , 2004 .

[11]  N. Vidmar.  Effects of decision alternatives on the verdicts and social perceptions of simulated jurors. , 1972, Journal of personality and social psychology.

[12]  R. Forthofer,et al.  Multidimensional Contingency Tables , 1981 .

[13]  Robert C. Elston,et al.  Testing for Hardy-Weinberg equilibrium in small samples , 1977 .

[14]  B S Weir,et al.  A disequilibrium coefficient approach to Hardy-Weinberg testing. , 1989, Biometrics.

[15]  I. J. Good,et al.  The enumeration of arrays and a generalization related to contingency tables , 1977, Discret. Math..

[16]  E. Thompson,et al.  Performing the exact test of Hardy-Weinberg proportion for multiple alleles. , 1992, Biometrics.

[17]  Diane Hernek.  Random generation of 2×n contingency tables , 1998, Random Struct. Algorithms.

[18]  Stephen E. Fienberg,et al.  Discrete Multivariate Analysis: Theory and Practice , 1976 .

[19]  T. Inada,et al.  An Exact Test for the Association Between the Disease and Alleles at Highly Polymorphic Loci with Particular Interest in the Haplotype Analysis , 2001, Biometrics.

[20]  O. Kempthorne,et al.  A note on goodness of fit of a population to Hardy-Weinberg structure. , 1975, American journal of human genetics.

[21]  Seth Sullivant,et al.  A Divide-and-Conquer Algorithm for Generating Markov Bases of Multi-way Tables , 2004, Comput. Stat..

[22]  Marcello Pagano,et al.  An Algorithm for Finding the Exact Significance Levels of r × c Contingency Tables , 1981 .

[23]  A. Takemura,et al.  Minimal Basis for a Connected Markov Chain over 3 × 3 ×K Contingency Tables with Fixed Two‐Dimensional Marginals , 2003 .

[24]  P. Diaconis,et al.  Algebraic algorithms for sampling from conditional distributions , 1998 .

[25]  W. K. Hastings,et al.  Monte Carlo Sampling Methods Using Markov Chains and Their Applications , 1970 .

[26]  J. Forster,et al.  Monte Carlo exact tests for square contingency tables , 1996 .

[27]  A A Tsiatis,et al.  Exact significance testing to establish treatment equivalence with ordered categorical data. , 1984, Biometrics.

[28]  P. Altham,et al.  The Measurement of Association of Rows and Columns for an r × s Contingency Table , 1970 .

[29]  Ian H. Dinwoodie,et al.  The Diaconis-Sturmfels algorithm and rules of succession , 1998 .

[30]  J. B. Rosen.  The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints , 1960 .

[31]  John W. McDonald,et al.  Exact conditional tests of quasi-independence for triangular contingency tables: estimating attained significance levels , 1995 .

[32]  Improving Path Trimming in a Network Algorithm for Fisher's Exact Test in Two-way Contingency Tables , 2002 .

[33]  Bret Larget,et al.  Analysis of Categorical Data , 2002 .

[34]  T. Speed,et al.  Additive and Multiplicative Models and Interactions , 1983 .

[35]  H. Levene.  On a Matching Problem Arising in Genetics , 1949 .

[36]  Jonathan J. Forster,et al.  Monte Carlo exact conditional tests for log-linear and logistic models , 1996 .

[37]  Stephen E. Fienberg,et al.  Testing Statistical Hypotheses , 2005 .

[38]  Kathryn Fraughnaugh,et al.  Introduction to graph theory , 1973, Mathematical Gazette.

[39]  Tarakchandra Das.  The purums : an old Kuki tribe of Manipur , 1945 .

[40]  J. Kouyoumdjian,et al.  MEFV-Gene analysis in armenian patients with Familial Mediterranean fever: diagnostic value and unfavorable renal prognosis of the M694V homozygous genotype-genetic and therapeutic implications. , 1999, American journal of human genetics.

[41]  Gian-Carlo Rota,et al.  Mathematical Essays in honor of Gian-Carlo Rota , 1998 .

[42]  Shelby J. Haberman,et al.  A Warning on the Use of Chi-Squared Statistics with Frequency Tables with Small Expected Cell Counts , 1988 .

[43]  Harrison C. White,et al.  An Anatomy Of Kinship , 1963 .

[44]  Alan Agresti,et al.  Exact Inference for Contingency Tables with Ordered Categories , 1990 .

[45]  A. Agresti.  [A Survey of Exact Inference for Contingency Tables]: Rejoinder , 1992 .

[46]  C. Marijuán,et al.  Minimal systems of generators for ideals of semigroups , 1998 .

[47]  W. Chapco.  An exact test of the Hardy-Weinberg law. , 1976, Biometrics.

[48]  T. H. Emigh,et al.  A comparison of tests for Hardy-Weinberg equilibrium. , 1980, Biometrics.

[49]  Nitin R. Patel,et al.  A Network Algorithm for Performing Fisher's Exact Test in r × c Contingency Tables , 1983 .

[50]  Alexander Schrijver,et al.  Theory of linear and integer programming , 1986, Wiley-Interscience series in discrete mathematics and optimization.

[51]  G. H. Freeman,et al.  Note on an exact treatment of contingency, goodness of fit and other problems of significance. , 1951, Biometrika.

[52]  Fabio Rapallo.  Algebraic Markov Bases and MCMC for Two‐Way Contingency Tables , 2003 .

[53]  J. Besag,et al.  Generalized Monte Carlo significance tests , 1989 .

[54]  Kazuo Murota,et al.  Discrete convex analysis , 1998, Math. Program..

[55]  C. A. Smith.  Chi‐squared tests with small numbers , 1986, Annals of human genetics.

[56]  L. A. Goodman.  The Analysis of Cross-Classified Data: Independence, Quasi-Independence, and Interactions in Contingency Tables with or without Missing Entries , 1968 .

[57]  Bernd Sturmfels,et al.  Higher Lawrence configurations , 2003, J. Comb. Theory, Ser. A.

[58]  Nitin R. Patel,et al.  Computing Distributions for Exact Logistic Regression , 1987 .

[59]  S. Fienberg,et al.  Incomplete two-dimensional contingency tables. , 1969, Biometrics.

[60]  Bernd Sturmfels,et al.  Lattice Walks and Primary Decomposition , 1998 .

[61]  Shun-ichi Amari,et al.  Differential-geometrical methods in statistics , 1985 .

[62]  J. Crow.  Eighty years ago: the beginnings of population genetics. , 1988, Genetics.

[63]  Hidefumi Ohsugi,et al.  Koszul Bipartite Graphs , 1999 .

[64]  E J Louis,et al.  An exact test for Hardy-Weinberg and multiple alleles. , 1987, Biometrics.

[65]  J. A. Harris.  ON THE SELECTIVE ELIMINATION OCCURRING DURING THE DEVELOPMENT OF THE FRUITS OF STAPHYLEA , 1910 .

[66]  Mark Jerrum,et al.  Three-Dimensional Statistical Data Security Problems , 1994, SIAM J. Comput..

[67]  Cyrus R. Mehta,et al.  Computing an Exact Confidence Interval for the Common Odds Ratio in Several 2×2 Contingency Tables , 1985 .

[68]  Diane Hernek.  Random generation of 2 × n contingency tables , 1998 .

[69]  S. Aoki,et al.  Network algorithm for the Exact Test of Hardy‐Weinberg Proportion for Multiple Alleles , 2003 .

[70]  Scott L. Hershberger,et al.  Incomplete Contingency Tables , 2005 .