{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:10Z","timestamp":1740134530113,"version":"3.37.3"},"reference-count":14,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["81273188","CXLX13 839"],"award-info":[{"award-number":["81273188","CXLX13 839"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Postgraduate Research and Innovation Program of Jiangsu","award":["81273188","CXLX13 839"],"award-info":[{"award-number":["81273188","CXLX13 839"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>Methods of finding the minimum value and the Lagrange function were applied to deduce the formulae for the optimum sample sizes for polychotomous randomized response technique (RRT) model in stratified two-stage sampling, so as to minimize the cost for specified sampling errors and to minimize the sampling errors under the constraint of a fixed budget. These formulae were successfully applied to sensitive topics survey among men who have sex with men (MSM) in Beijing, China.<\/jats:p>","DOI":"10.1155\/2014\/738097","type":"journal-article","created":{"date-parts":[[2014,4,22]],"date-time":"2014-04-22T17:10:50Z","timestamp":1398186650000},"page":"1-6","source":"Crossref","is-referenced-by-count":1,"title":["Sample Size Determination for the Polychotomous Randomized Response Model for Sensitive Questions in a Stratified Two-Stage Sampling Survey"],"prefix":"10.1155","volume":"2014","author":[{"given":"Zongda","family":"Jin","sequence":"first","affiliation":[{"name":"School of Public Health, Medical College of Soochow University, Suzhou 215123, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Yu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Dezhou University, Dezhou 253023, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiangke","family":"Pu","sequence":"additional","affiliation":[{"name":"Changzhou No. 2 People\u2019s Hospital, Changzhou 213003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ge","family":"Gao","sequence":"additional","affiliation":[{"name":"School of Public Health, Medical College of Soochow University, Suzhou 215123, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1177\/0962280208099444"},{"issue":"309","key":"4","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1080\/01621459.1965.10480775","volume":"60","year":"1965","journal-title":"Journal of the American Statistical Association"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1177\/1740774508101021"},{"first-page":"261","volume-title":"Application of monte carlo simulation in reliability and validity evaluation of two-stage cluster sampling on multinomial sensitive question","year":"2012","key":"6"},{"first-page":"273","volume-title":"Analysis of sensitive questions of MSM based on RRT","year":"2012","key":"7"},{"key":"8","first-page":"833","volume":"37","year":"2012","journal-title":"Interciencia"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-24632-9_31"},{"key":"10","first-page":"51","volume":"15","year":"1998","journal-title":"Chinese Journal of Health Statistics"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.11.043"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/S0140-6736(03)13690-2"},{"issue":"8","key":"13","volume":"8","year":"2011","journal-title":"PLoS Medicine"},{"key":"14","first-page":"65","volume":"17","year":"2013","journal-title":"Computer Modelling and New Technologies"},{"key":"15","first-page":"586","volume":"25","year":"2008","journal-title":"Chinese Journal of Health Statistics"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/738097.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/738097.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/738097.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T07:59:44Z","timestamp":1498118384000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/738097\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":14,"alternative-id":["738097","738097"],"URL":"https:\/\/doi.org\/10.1155\/2014\/738097","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}