{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T15:06:27Z","timestamp":1773414387056,"version":"3.50.1"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2013,12,3]],"date-time":"2013-12-03T00:00:00Z","timestamp":1386028800000},"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":[[2014,6]]},"DOI":"10.1007\/s00180-013-0467-9","type":"journal-article","created":{"date-parts":[[2013,12,2]],"date-time":"2013-12-02T08:16:26Z","timestamp":1385972186000},"page":"869-889","source":"Crossref","is-referenced-by-count":33,"title":["Confidence intervals for ratio of two Poisson rates using the method of variance estimates recovery"],"prefix":"10.1007","volume":"29","author":[{"given":"Hui-Qiong","family":"Li","sequence":"first","affiliation":[]},{"given":"Man-Lai","family":"Tang","sequence":"additional","affiliation":[]},{"given":"Weng-Kee","family":"Wong","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,12,3]]},"reference":[{"key":"467_CR1","volume-title":"Statistics with confidence","author":"DG Altman","year":"2000","unstructured":"Altman DG, Machin D, Bryant TN et al (2000) Statistics with confidence, 2nd edn. BMJ Books, Bristol","edition":"2"},{"issue":"3","key":"467_CR2","first-page":"306","volume":"40","author":"MS Bartlett","year":"1953","unstructured":"Bartlett MS (1953) Approximate confidence intervals II. More than one unknown parameter. Biometrika 40(3):306\u2013317","journal-title":"Biometrika"},{"issue":"1","key":"467_CR3","first-page":"19","volume":"13","author":"LD Brown","year":"2003","unstructured":"Brown LD, Cai TT, Dasgupta A (2003) Interval estimation in exponential families. Statistica Sinica 13(1):19\u201349","journal-title":"Statistica Sinica"},{"issue":"3","key":"467_CR4","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1081\/STA-200052109","volume":"34","author":"J Byrne","year":"2005","unstructured":"Byrne J, Kabaila P (2005) Comparison of Poisson confidence intervals. Commun Stat Theory Methods 34(3):545\u2013556","journal-title":"Commun Stat Theory Methods"},{"issue":"1","key":"467_CR5","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1111\/j.0006-341X.2002.00209.x","volume":"58","author":"A Donner","year":"2002","unstructured":"Donner A, Zou GY (2002) Interval estimation for a difference between intraclass kappa statistics. Biometrics 58(1):209\u2013215","journal-title":"Biometrics"},{"key":"467_CR6","first-page":"1","volume":"8","author":"A Donner","year":"2010","unstructured":"Donner A, Zou GY (2010) Closed-form confidence intervals for function of the normal mean and standard deviation. Stat Methods Med Res 8:1\u201312","journal-title":"Stat Methods Med Res"},{"key":"467_CR7","doi-asserted-by":"crossref","DOI":"10.1002\/0471445428","volume-title":"Statistical methods for rates and proportions","author":"JL Fleiss","year":"2003","unstructured":"Fleiss JL, Levin B, Paik MC (2003) Statistical methods for rates and proportions. Wiley, New Jersey"},{"issue":"12","key":"467_CR8","doi-asserted-by":"crossref","first-page":"2071","DOI":"10.1002\/sim.1405","volume":"22","author":"PL Graham","year":"2003","unstructured":"Graham PL, Mengersen K, Morton AP (2003) Confidence limits for the ratio of two rates based on likelihood scores: non-iterative method. Stat Med 22(12):2071\u20132083","journal-title":"Stat Med"},{"issue":"2","key":"467_CR9","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1002\/bimj.200710403","volume":"50","author":"KX Gu","year":"2008","unstructured":"Gu KX, Ng HKT, Tang ML et al (2008) Testing the ratio of two Poisson rates. Biometr J 50(2):283\u2013298","journal-title":"Biometr J"},{"key":"467_CR10","volume-title":"Handbook of the Poisson distribution","author":"FA Haight","year":"1967","unstructured":"Haight FA (1967) Handbook of the Poisson distribution. Wiley, New York"},{"issue":"1","key":"467_CR11","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/S0378-3758(02)00408-1","volume":"119","author":"K Krishnamoorthy","year":"2004","unstructured":"Krishnamoorthy K, Thomson J (2004) A more powerful test for comparing two Poisson means. J Stat Plan Inference 119(1):23\u201335","journal-title":"J Stat Plan Inference"},{"issue":"24","key":"467_CR12","doi-asserted-by":"crossref","first-page":"2521","DOI":"10.1002\/sim.4015","volume":"29","author":"Y Li","year":"2010","unstructured":"Li Y, Koval JJ, Donner A, Zou GY (2010) Interval estimation for the area under the receiver operating characteristic curve when data are subject to error. Stat Med 29(24):2521\u20132531","journal-title":"Stat Med"},{"issue":"8","key":"467_CR13","doi-asserted-by":"crossref","first-page":"857","DOI":"10.1002\/(SICI)1097-0258(19980430)17:8<857::AID-SIM777>3.0.CO;2-E","volume":"17","author":"RG Newcombe","year":"1998","unstructured":"Newcombe RG (1998) Two-sided confidence intervals for the single proportion: comparison of seven methods. Stat Med 17(8):857\u2013872","journal-title":"Stat Med"},{"key":"467_CR14","doi-asserted-by":"crossref","unstructured":"Newcombe RG (2012) Confidence intervals for proportions and related measures of effect size. Chapman & Hall\/CRC Biostatistics Series","DOI":"10.1201\/b12670"},{"issue":"6","key":"467_CR15","doi-asserted-by":"crossref","first-page":"3085","DOI":"10.1016\/j.csda.2006.02.004","volume":"51","author":"HKT Ng","year":"2007","unstructured":"Ng HKT, Gu K, Tang ML (2007) A comparative study of tests for the difference of the two Poisson means. Comput Stat Data Anal 51(6):3085\u20133099","journal-title":"Comput Stat Data Anal"},{"issue":"6","key":"467_CR16","doi-asserted-by":"crossref","first-page":"955","DOI":"10.1002\/sim.1949","volume":"24","author":"HKT Ng","year":"2005","unstructured":"Ng HKT, Tang ML (2005) Testing the equality of two Poisson means using the rate ratio. Stat Med 24(6): 955\u2013965","journal-title":"Stat Med"},{"issue":"3","key":"467_CR17","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/S0167-9473(99)00100-0","volume":"34","author":"RM Price","year":"2000","unstructured":"Price RM, Bonett DG (2000) Estimating the ratio of two Poisson rates. Comput Stat Data Anal 34(3): 345\u2013356","journal-title":"Comput Stat Data Anal"},{"key":"467_CR18","volume-title":"Modern epidemiology","author":"KJ Rothman","year":"1998","unstructured":"Rothman KJ, Greenland S (1998) Modern epidemiology, 2nd edn. Lippincott-Raven, Philadelphia","edition":"2"},{"issue":"1","key":"467_CR19","first-page":"43","volume":"18","author":"H Sahai","year":"1993","unstructured":"Sahai H, Khurshid A (1993) Confidence intervals for the ratio of two Poisson means. Math Sci 18(1):43\u201350","journal-title":"Math Sci"},{"key":"467_CR20","unstructured":"Singer J (2010) Letter to the editor. Construction of confidence limits about effect measures: a general approach, by Zou GY, Donner A (eds) Statistics in Medicine 2008; 27: 1693\u20131702. Statistics in Medicine 29(16):1757\u20131759"},{"issue":"4","key":"467_CR21","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1080\/03610910600880195","volume":"35","author":"J Stamey","year":"2006","unstructured":"Stamey J, Hamilton C (2006) A note on confidence intervals for a linear function of Poisson rates. Commun Stat Simul Comput 35(4):849\u2013856","journal-title":"Commun Stat Simul Comput"},{"issue":"17","key":"467_CR22","doi-asserted-by":"crossref","first-page":"1044","DOI":"10.1056\/NEJM198510243131703","volume":"313","author":"MJ Stampfer","year":"1985","unstructured":"Stampfer MJ, Willett WC (1985) A prospective study of postmenopausal estrogen therapy and coronary heart disease. N Engl J Med 313(17):1044\u20131049","journal-title":"N Engl J Med"},{"key":"467_CR23","doi-asserted-by":"crossref","DOI":"10.1002\/9780470316924","volume-title":"Linear statistical models","author":"JH Stapleton","year":"1995","unstructured":"Stapleton JH (1995) Linear statistical models. Wiley, New York"},{"issue":"5","key":"467_CR24","doi-asserted-by":"crossref","first-page":"748","DOI":"10.1080\/03610920802255856","volume":"38","author":"MB Swift","year":"2009","unstructured":"Swift MB (2009) Comparison of confidence intervals for a Poisson mean-further considerations. Commun Stat Theory Methods 38(5):748\u2013759","journal-title":"Commun Stat Theory Methods"},{"issue":"4","key":"467_CR25","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1002\/sim.3490","volume":"28","author":"ML Tang","year":"2009","unstructured":"Tang ML, Ling MH, Tian GL (2009) Exact and approximate unconditional confidence intervals for proportion difference in the presence of incomplete data. Stat Med 28(4):625\u2013641","journal-title":"Stat Med"},{"issue":"4","key":"467_CR26","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1002\/sim.1683","volume":"23","author":"ML Tang","year":"2004","unstructured":"Tang ML, Ng HKT (2004) Comment on: confidence limits for the ratio of two rates based on likelihood scores: non-iterative method. Stat Med 23(4):685\u2013691","journal-title":"Stat Med"},{"issue":"2","key":"467_CR27","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1093\/aje\/kwn104","volume":"168","author":"GY Zou","year":"2008","unstructured":"Zou GY (2008) On the estimation of additive interaction by use of the four-by-two table and beyond. Am J Epidemiol 168(2):212\u2013224","journal-title":"Am J Epidemiol"},{"issue":"10","key":"467_CR28","doi-asserted-by":"crossref","first-page":"1693","DOI":"10.1002\/sim.3095","volume":"27","author":"GY Zou","year":"2008","unstructured":"Zou GY, Donner A (2008) Construction of confidence limits about effect measures: a general approach. Stat Med 27(10):1693\u20131702","journal-title":"Stat Med"},{"key":"467_CR29","first-page":"197","volume-title":"Biometrics: methods, applications and analyses","author":"GY Zou","year":"2010","unstructured":"Zou GY, Donner A (2010) A generalization of Fiellers theorem for ratios of non-normal variables and some practical applications. In: Schuster H, Metzger W (eds) Biometrics: methods, applications and analyses. Nova Publications, London, pp 197\u2013216"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-013-0467-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00180-013-0467-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-013-0467-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,18]],"date-time":"2022-03-18T09:34:27Z","timestamp":1647596067000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00180-013-0467-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,12,3]]},"references-count":29,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2014,6]]}},"alternative-id":["467"],"URL":"https:\/\/doi.org\/10.1007\/s00180-013-0467-9","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"value":"0943-4062","type":"print"},{"value":"1613-9658","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,12,3]]}}}