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  "Title": "Pattern Analysis Across Contingency Tables",
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  "Authors@R": "c(person(given = \"Ruby\",\nfamily = \"Sharma\",\nrole = \"aut\",\nemail = \"ruby49@nmsu.edu\",\ncomment = c(ORCID = \"0000-0001-7774-4065\")\n),\nperson(given = \"Joe\",\nfamily = \"Song\",\nrole = c(\"aut\", \"cre\"),\nemail = \"joemsong@cs.nmsu.edu\",\ncomment = c(ORCID = \"0000-0002-6883-6547\")\n)\n)",
  "Author": "Ruby Sharma [aut] (<https://orcid.org/0000-0001-7774-4065>),\nJoe Song [aut, cre] (<https://orcid.org/0000-0002-6883-6547>)",
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  "Description": "Statistical hypothesis testing of pattern heterogeneity\nvia differences in underlying distributions across multiple\ncontingency tables. Five tests are included: the comparative\nchi-squared test (Song et al. 2014) <doi:10.1093/nar/gku086>\n(Zhang et al. 2015) <doi:10.1093/nar/gkv358>, the Sharma-Song\ntest (Sharma et al. 2021) <doi:10.1093/bioinformatics/btab240>,\nthe heterogeneity test, the marginal-change test (Sharma et al.\n2020) <doi:10.1145/3388440.3412485>, and the strength test\n(Sharma et al. 2020) <doi:10.1145/3388440.3412485>. Under the\nnull hypothesis that row and column variables are statistically\nindependent and joint distributions are equal, their test\nstatistics all follow an asymptotically chi-squared\ndistribution. A comprehensive type analysis categorizes the\nrelation among the contingency tables into type null, 0, 1, and\n2 (Sharma et al. 2020) <doi:10.1145/3388440.3412485>. They can\nidentify heterogeneous patterns that differ in either the first\norder (marginal) or the second order (differential departure\nfrom independence). Second-order differences reveal more\nfundamental changes than first-order differences across\nheterogeneous patterns.",
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      "title": "Comparative Chi-Squared Test for Difference Across Contingency Tables",
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      "title": "Heterogeneity Test for Difference Across Contingency Tables",
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      "title": "Test for Marginal Change Across Contingency Tables",
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      "title": "Sharma-Song Test for Second-Order Difference Across Contingency Tables",
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      "title": "Simulating Contingency Tables that Differ in Distribution",
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      "title": "Strength Test for Association in Multiple Contingency Tables",
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      "title": "Comprehensive Type Analysis for Difference Across Contingency Tables",
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      "title": "Using the 'DiffXTables' R package to detect heterogeneity",
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        "Types of pattern",
        "The three tests of distributional differences across tables",
        "1. The comparative chi-squared test",
        "2. The Sharma-Song test",
        "3. The heterogeneity test",
        "Examples to illustrate differences among the three tests",
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