{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T23:22:58Z","timestamp":1649114578849},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2013,8,20]],"date-time":"2013-08-20T00:00:00Z","timestamp":1376956800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput Stat"],"published-print":{"date-parts":[[2014,2]]},"DOI":"10.1007\/s00180-013-0442-5","type":"journal-article","created":{"date-parts":[[2013,8,19]],"date-time":"2013-08-19T06:50:14Z","timestamp":1376895014000},"page":"159-187","source":"Crossref","is-referenced-by-count":0,"title":["Counting subsets of contingency tables"],"prefix":"10.1007","volume":"29","author":[{"given":"George S.","family":"Fishman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,8,20]]},"reference":[{"key":"442_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-5098-2","volume-title":"Data: a collection of problems from many fields for the student and research worker","author":"DF Andrews","year":"1985","unstructured":"Andrews DF, Herzberg AM (1985) Data: a collection of problems from many fields for the student and research worker. Springer, New York"},{"key":"442_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4614-3719-2","volume-title":"Markov bases in algebraic statistics","author":"S Aoki","year":"2012","unstructured":"Aoki S, Hara H, Takemura A (2012) Markov bases in algebraic statistics. Springer, New York"},{"key":"442_CR3","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1109\/MCSE.2008.62","volume":"10","author":"I Bez\u00e1kov\u00e1","year":"2008","unstructured":"Bez\u00e1kov\u00e1 I (2008) Sampling binary contingency tables. Comput Sci Eng 10:26\u201331","journal-title":"Comput Sci Eng"},{"key":"442_CR4","doi-asserted-by":"crossref","first-page":"606","DOI":"10.1007\/s00453-011-9569-3","volume":"54","author":"I Bez\u00e1kov\u00e1","year":"2012","unstructured":"Bez\u00e1kov\u00e1 I, Sinclair A, S\u0306tefankovic\u0306 A, Vigoda E (2012) Negative examples for sequential importance sampling of binary contingency tables. Algorithmica 54:606\u2013620","journal-title":"Algorithmica"},{"key":"442_CR5","doi-asserted-by":"crossref","first-page":"949","DOI":"10.1214\/08-AAP558","volume":"19","author":"J Blanchet","year":"2009","unstructured":"Blanchet J (2009) Efficient importance sampling for binary contingency tables. Ann Appl Prob 19:949\u2013982","journal-title":"Ann Appl Prob"},{"key":"442_CR6","volume-title":"MCMC in $$I \\times J \\times K$$ I","author":"F Bunea","year":"2000","unstructured":"Bunea F, Besag J (2000) MCMC in $$I \\times J \\times K$$ I \u00d7 J \u00d7 K contingency tables, Fields Institute Communications, 26. American Mathematical Society, Providence"},{"key":"442_CR7","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1198\/016214504000001303","volume":"100","author":"Y Chen","year":"2005","unstructured":"Chen Y, Diaconis P, Holmes SP, Liu JS (2005) Sequential Monte Carlo methods for statistical analysis of tables. J Am Stat Assoc 100:109\u2013120","journal-title":"J Am Stat Assoc"},{"key":"442_CR8","unstructured":"Cox LH (2007) Contingency tables of network type: models, Markov basis and applications. Statistica Sinica 17:1371\u20131393"},{"key":"442_CR9","unstructured":"De Loera JA, Haws D, Hemmecke R, Huggins P, Tauzer J, Yoshida R (2003) A User\u2019s Guide for LattE, 1, software package LattE is available at http:\/\/www.math.ucdavis.edu\/~latte\/"},{"key":"442_CR10","doi-asserted-by":"crossref","first-page":"845","DOI":"10.1214\/aos\/1176349634","volume":"13","author":"P Diaconis","year":"1985","unstructured":"Diaconis P, Efron B (1985) Testing for independence in a two-way table: new interpretation of the chi-square statistic. Ann Stat 13:845\u2013874","journal-title":"Ann Stat"},{"key":"442_CR11","first-page":"15","volume-title":"Discrete probability and algorithms, IMA volumes in mathematics and its applications, Vol. no 72","author":"P Diaconis","year":"1995","unstructured":"Diaconis P, Gangolli A (1995) Rectangular arrays with fixed marginals. In: Aldous D, Diaconis P, Spencer J, Steele JM (eds) Discrete probability and algorithms, IMA volumes in mathematics and its applications, Vol. no 72. Springer, New York, pp 15\u201342"},{"key":"442_CR12","first-page":"43","volume-title":"Discrete probability and algorithms, IMA volumes in mathematics and its applications, Vol. no 72","author":"P Diaconis","year":"1995","unstructured":"Diaconis P, Holmes S (1995) Three examples of Monte\u2013Carlo chains: at the interface of statistical computing, computer science, and statistical mechanics. In: Aldous D, Diaconis P, Spencer J, Steele JM (eds) Discrete probability and algorithms, IMA volumes in mathematics and its applications, Vol. no 72. Springer, New York, pp 43\u201356"},{"key":"442_CR13","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1214\/aos\/1030563990","volume":"26","author":"P Diaconis","year":"1998","unstructured":"Diaconis P, Sturmfels B (1998) Algebraic algorithms for sampling from conditional distributions. Ann Stat 26:363\u2013397","journal-title":"Ann Stat"},{"key":"442_CR14","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1002\/(SICI)1098-2418(199707)10:4<487::AID-RSA4>3.0.CO;2-Q","volume":"10","author":"M Dyer","year":"1997","unstructured":"Dyer M, Kannan R, Mount J (1997) Sampling contingency tables. Rand Struct Algorithms 10:487\u2013506","journal-title":"Rand Struct Algorithms"},{"key":"442_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-72825-4","volume-title":"The analysis of cross-classified categorical data","author":"SE Fienberg","year":"2007","unstructured":"Fienberg SE (2007) The analysis of cross-classified categorical data, 2nd edn. Springer, New York","edition":"2"},{"key":"442_CR16","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1080\/10618600.2012.680369","volume":"21","author":"GS Fishman","year":"2012","unstructured":"Fishman GS (2012) Counting contingency tables via multistage Markov Chain Monte Carlo. J Comput Graph Stat 21:713\u2013738","journal-title":"J Comput Graph Stat"},{"key":"442_CR17","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1080\/01621459.1979.10481650","volume":"74","author":"LA Goodman","year":"1979","unstructured":"Goodman LA (1979) Simple models for the analysis of association in cross-classifications having ordered categories. J Am Stat Assoc 74:537\u2013552","journal-title":"J Am Stat Assoc"},{"key":"442_CR18","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/0304-3975(86)90174-X","volume":"43","author":"M Jerrum","year":"1986","unstructured":"Jerrum M, Valiant L, Vazirani V (1986) Random generation of combinatorial structures from a uniform distribution. Theor Comput Sci 43:169\u2013188","journal-title":"Theor Comput Sci"},{"key":"442_CR19","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/0167-9473(93)90242-L","volume":"16","author":"B Kalantari","year":"1993","unstructured":"Kalantari B, Lari I, Rizzi A, Simeone B (1993) Sharp bounds for the maximum of the chi-square index in a class of contingency tables with given marginals. Comput Stat Data Anal 16:19\u201334","journal-title":"Comput Stat Data Anal"},{"key":"442_CR20","first-page":"785","volume":"8","author":"G Koch","year":"1983","unstructured":"Koch G, Amara J, Atkinson S, Stanish W (1983) Overview of categorical data analysis methods. SAS-SUGI 8:785\u2013795","journal-title":"SAS-SUGI"},{"key":"442_CR21","doi-asserted-by":"crossref","first-page":"1032","DOI":"10.1080\/01621459.1998.10473765","volume":"93","author":"JS Liu","year":"1998","unstructured":"Liu JS, Chen R (1998) Sequential Monte Carlo methods for dynamic systems. J Am Stat Assoc 93:1032\u20131044","journal-title":"J Am Stat Assoc"},{"key":"442_CR22","unstructured":"Mango A (2003) On the normalization of $$\\chi ^2$$ \u03c7 2 base contingency tables. Dev Appl Stat 19:11\u2013123"},{"key":"442_CR23","doi-asserted-by":"crossref","first-page":"785","DOI":"10.1007\/s10463-010-0289-2","volume":"62","author":"F Rapallo","year":"2010","unstructured":"Rapallo F, Yoshida R (2010) Markov bases and subbases for bounded contingency tables. Ann Inst Stat Math 62:785\u2013805","journal-title":"Ann Inst Stat Math"},{"key":"442_CR24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1198\/000313002128","volume":"56","author":"C Sabatti","year":"2002","unstructured":"Sabatti C (2002) Measuring dependency with volume tests. Am Stat 56:1\u20135","journal-title":"Am Stat"},{"key":"442_CR25","unstructured":"SAS, Example 3.6 Output Data Set of Chi-Square Statistics, http:\/\/support.sas.com\/documentation\/cdl\/en\/procstat\/63104\/HTML\/default\/viewer.htm#\/documentation\/cdl\/en\/procstat\/63104\/HTML\/default\/procstat_freq_sect030.htm"},{"key":"442_CR26","doi-asserted-by":"crossref","unstructured":"S\u0306tefankovic\u0306 D, Vempala S, Vigoda E (2009) Adaptive simulated annealing: a near-optimal connection between sampling and counting. J Assoc Comput Mach 56(3):1\u201336","DOI":"10.1145\/1516512.1516520"},{"key":"442_CR27","doi-asserted-by":"crossref","first-page":"915","DOI":"10.1198\/jcgs.2009.07154","volume":"18","author":"V Zipunnikov","year":"2009","unstructured":"Zipunnikov V, Booth JG, Yoshida R (2009) Counting tables using the double-saddlepoint approximation. J Comput Graph Stat 18:915\u2013929","journal-title":"J Comput Graph Stat"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-013-0442-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00180-013-0442-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-013-0442-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T18:36:51Z","timestamp":1558636611000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00180-013-0442-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,8,20]]},"references-count":27,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2014,2]]}},"alternative-id":["442"],"URL":"https:\/\/doi.org\/10.1007\/s00180-013-0442-5","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"value":"0943-4062","type":"print"},{"value":"1613-9658","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,8,20]]}}}