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The risk difference, relative risk ratio, and odds ratios of response rates are widely used to measure cured effects for such data. Under Dallal\u2019s model, the paper extends these measures to the general case in <jats:inline-formula>\n                     <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\">\n                        <a:mi>g<\/a:mi>\n                     <\/a:math>\n                  <\/jats:inline-formula> groups. We propose eight test statistics for various functions when the dependency measures <jats:inline-formula>\n                     <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\">\n                        <c:msub>\n                           <c:mrow>\n                              <c:mi>\u03b3<\/c:mi>\n                           <\/c:mrow>\n                           <c:mrow>\n                              <c:mi>i<\/c:mi>\n                           <\/c:mrow>\n                        <\/c:msub>\n                        <c:mfenced open=\"(\" close=\")\" separators=\"|\">\n                           <c:mrow>\n                              <c:mi>i<\/c:mi>\n                              <c:mo>=<\/c:mo>\n                              <c:mn>1<\/c:mn>\n                              <c:mo>,<\/c:mo>\n                              <c:mo>\u2026<\/c:mo>\n                              <c:mo>,<\/c:mo>\n                              <c:mi>g<\/c:mi>\n                           <\/c:mrow>\n                        <\/c:mfenced>\n                     <\/c:math>\n                  <\/jats:inline-formula> are equal or not. Simulation results show that the Score and Rosner-type tests can produce robust empirical type I error rates, while Wald-type and likelihood ratio tests have better power in testing the risk difference, relative risk ratio, and odds ratios. Finally, two real examples illustrate our proposed method\u2019s practicability.<\/jats:p>","DOI":"10.1155\/2023\/7691732","type":"journal-article","created":{"date-parts":[[2023,9,15]],"date-time":"2023-09-15T16:50:12Z","timestamp":1694796612000},"page":"1-22","source":"Crossref","is-referenced-by-count":2,"title":["Homogeneity Test of Response Rate Functions in Bilateral Correlated Data under Dallal\u2019s Model"],"prefix":"10.1155","volume":"2023","author":[{"given":"Hengyi","family":"Zhao","sequence":"first","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaojuan","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jingwen","family":"Bian","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2207-1489","authenticated-orcid":true,"given":"Shenglong","family":"Chen","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6570-6325","authenticated-orcid":true,"given":"Zhiming","family":"Li","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.2307\/2530293"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2007.12.017"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0124337"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1002\/bimj.201000074"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jspi.2011.12.005"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.2307\/2531913"},{"key":"7","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-030-46161-4","volume-title":"Contemporary Experimental Design, Multivariate Analysis and Data Mining","author":"J. 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