{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T14:37:11Z","timestamp":1773153431983,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2009,11,22]],"date-time":"2009-11-22T00:00:00Z","timestamp":1258848000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Stat Methods Appl"],"published-print":{"date-parts":[[2010,8]]},"DOI":"10.1007\/s10260-009-0127-y","type":"journal-article","created":{"date-parts":[[2009,11,21]],"date-time":"2009-11-21T08:06:58Z","timestamp":1258790818000},"page":"307-318","source":"Crossref","is-referenced-by-count":8,"title":["Double linear diagonals-parameter symmetry and decomposition of double symmetry for square tables"],"prefix":"10.1007","volume":"19","author":[{"given":"Kouji","family":"Tahata","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sadao","family":"Tomizawa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2009,11,22]]},"reference":[{"key":"127_CR1","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1016\/0167-7152(83)90051-2","volume":"1","author":"A Agresti","year":"1983","unstructured":"Agresti A (1983) A simple diagonals-parameter symmetry and quasi-symmetry model. Stat Probab Lett 1: 313\u2013316","journal-title":"Stat Probab Lett"},{"key":"127_CR2","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1111\/j.2517-6161.1962.tb00456.x","volume":"24","author":"J Aitchison","year":"1962","unstructured":"Aitchison J (1962) Large-sample restricted parametric tests. J R Stat Soc Ser B 24: 234\u2013250","journal-title":"J R Stat Soc Ser B"},{"key":"127_CR3","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1109\/TAC.1974.1100705","volume":"AC-19","author":"H Akaike","year":"1974","unstructured":"Akaike H (1974) A new look at the statistical model identification. IEEE Trans Automat Contr AC-19: 716\u2013723","journal-title":"IEEE Trans Automat Contr"},{"key":"127_CR4","volume-title":"Discrete statistical models with social science applications","author":"EB Andersen","year":"1980","unstructured":"Andersen EB (1980) Discrete statistical models with social science applications. North-Holland, Amsterdam"},{"key":"127_CR5","volume-title":"Discrete multivariate analysis: theory and practice","author":"YMM Bishop","year":"1975","unstructured":"Bishop YMM, Fienberg SE, Holland PW (1975) Discrete multivariate analysis: theory and practice. MIT Press, Cambridge"},{"key":"127_CR6","doi-asserted-by":"crossref","first-page":"572","DOI":"10.1080\/01621459.1948.10483284","volume":"43","author":"AH Bowker","year":"1948","unstructured":"Bowker AH (1948) A test for symmetry in contingency tables. J Am Stat Assoc 43: 572\u2013574","journal-title":"J Am Stat Assoc"},{"key":"127_CR7","first-page":"77","volume":"29","author":"H Caussinus","year":"1965","unstructured":"Caussinus H (1965) Contribution \u00e0 l\u2019analyse statistique des tableaux de corr\u00e9lation. Annales de la Facult\u00e9 des Sciences de l\u2019Universit\u00e9 de Toulouse 29: 77\u2013182","journal-title":"Annales de la Facult\u00e9 des Sciences de l\u2019Universit\u00e9 de Toulouse"},{"key":"127_CR8","doi-asserted-by":"crossref","first-page":"1470","DOI":"10.1214\/aoms\/1177692379","volume":"43","author":"JN Darroch","year":"1972","unstructured":"Darroch JN, Ratcliff D (1972) Generalized iterative scaling for log-linear models. Ann Math Stat 43: 1470\u20131480","journal-title":"Ann Math Stat"},{"key":"127_CR9","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1214\/aoms\/1177704168","volume":"34","author":"JN Darroch","year":"1963","unstructured":"Darroch JN, Silvey SD (1963) On testing more than one hypothesis. Ann Math Stat 34: 555\u2013567","journal-title":"Ann Math Stat"},{"key":"127_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0167-9473(85)90053-2","volume":"3","author":"M Haber","year":"1985","unstructured":"Haber M (1985) Maximum likelihood methods for linear and log-linear models in categorical data. Comput Stat Data Anal 3: 1\u201310","journal-title":"Comput Stat Data Anal"},{"key":"127_CR11","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1080\/01621459.1994.10476787","volume":"89","author":"JB Lang","year":"1994","unstructured":"Lang JB, Agresti A (1994) Simultaneously modeling joint and marginal distributions of multivariate categorical responses. J Am Stat Assoc 89: 625\u2013632","journal-title":"J Am Stat Assoc"},{"key":"127_CR12","volume-title":"Linear statistical inference and its applications","author":"CR Rao","year":"1973","unstructured":"Rao CR (1973) Linear statistical inference and its applications, 2nd edn. Wiley, New York","edition":"2"},{"key":"127_CR13","doi-asserted-by":"crossref","first-page":"412","DOI":"10.1093\/biomet\/42.3-4.412","volume":"42","author":"A Stuart","year":"1955","unstructured":"Stuart A (1955) A test for homogeneity of the marginal distributions in a two-way classification. Biometrika 42: 412\u2013416","journal-title":"Biometrika"},{"key":"127_CR14","volume-title":"Akaike information criterion statistics","author":"Y Sakamoto","year":"1986","unstructured":"Sakamoto Y, Ishiguro M, Kitagawa G (1986) Akaike information criterion statistics. D. Reidel Publishing, Dordrecht"},{"key":"127_CR15","doi-asserted-by":"crossref","first-page":"91","DOI":"10.14490\/jjss.36.91","volume":"36","author":"K Tahata","year":"2006","unstructured":"Tahata K, Tomizawa S (2006) Decompositions for extended double symmetry models in square contingency tables with ordered categories. J Jpn Stat Soc 36: 91\u2013106","journal-title":"J Jpn Stat Soc"},{"key":"127_CR16","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1007\/s10182-008-0070-5","volume":"92","author":"K Tahata","year":"2008","unstructured":"Tahata K, Tomizawa S (2008) Orthogonal decomposition of point-symmetry for multiway tables. Adv Stat Anal 92: 255\u2013269","journal-title":"Adv Stat Anal"},{"key":"127_CR17","doi-asserted-by":"crossref","first-page":"185","DOI":"10.17713\/ajs.v37i2.299","volume":"37","author":"K Tahata","year":"2008","unstructured":"Tahata K, Yamamoto H, Tomizawa S (2008) Orthogonality of decompositions of symmetry into extended symmetry and marginal equimoment for multi-way tables with ordered categories. Aust J Stat 37: 185\u2013194","journal-title":"Aust J Stat"},{"key":"127_CR18","doi-asserted-by":"crossref","first-page":"895","DOI":"10.1002\/bimj.4710270811","volume":"27","author":"S Tomizawa","year":"1985","unstructured":"Tomizawa S (1985a) The decompositions for point symmetry models in two-way contingency tables. Biom J 27: 895\u2013905","journal-title":"Biom J"},{"key":"127_CR19","first-page":"17","volume":"15","author":"S Tomizawa","year":"1985","unstructured":"Tomizawa S (1985b) Double symmetry model and its decomposition in a square contingency table. J Jpn Stat Soc 15: 17\u201323","journal-title":"J Jpn Stat Soc"},{"key":"127_CR20","first-page":"401","volume":"49","author":"S Tomizawa","year":"1991","unstructured":"Tomizawa S (1991) An extended linear diagonals-parameter symmetry model for square contingency tables with ordered categories. Metron 49: 401\u2013409","journal-title":"Metron"},{"key":"127_CR21","first-page":"3","volume":"148","author":"S Tomizawa","year":"2007","unstructured":"Tomizawa S, 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 Soci\u00e9t\u00e9 Fran\u00e7aise de Statistique 148: 3\u201336","journal-title":"Journal de la Soci\u00e9t\u00e9 Fran\u00e7aise de Statistique"},{"key":"127_CR22","doi-asserted-by":"crossref","first-page":"173","DOI":"10.2333\/bhmk.30.173","volume":"30","author":"S Tomizawa","year":"2003","unstructured":"Tomizawa S, Miyamoto N, Ashihara N (2003) Measure of departure from marginal homogeneity for square contingency tables having ordered categories. Behaviormetrika 30: 173\u2013193","journal-title":"Behaviormetrika"},{"key":"127_CR23","first-page":"259","volume":"18","author":"KD Wall","year":"1976","unstructured":"Wall KD, Lienert GA (1976) A test for point-symmetry in J-dimensional contingency-cubes. Biom J 18: 259\u2013264","journal-title":"Biom J"},{"key":"127_CR24","doi-asserted-by":"crossref","first-page":"291","DOI":"10.17713\/ajs.v36i4.340","volume":"36","author":"H Yamamoto","year":"2007","unstructured":"Yamamoto H, Iwashita T, Tomizawa S (2007) Decomposition of symmetry into ordinal quasi-symmetry and marginal equimoment for multi-way tables. Aust J Stat 36: 291\u2013306","journal-title":"Aust J Stat"}],"container-title":["Statistical Methods &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-009-0127-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10260-009-0127-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10260-009-0127-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,13]],"date-time":"2025-02-13T10:30:52Z","timestamp":1739442652000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10260-009-0127-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,11,22]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,8]]}},"alternative-id":["127"],"URL":"https:\/\/doi.org\/10.1007\/s10260-009-0127-y","relation":{},"ISSN":["1618-2510","1613-981X"],"issn-type":[{"value":"1618-2510","type":"print"},{"value":"1613-981X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,11,22]]}}}