{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,8]],"date-time":"2026-09-08T13:00:21Z","timestamp":1788872421076,"version":"build-2803163510"},"reference-count":37,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[2003,1,28]],"date-time":"2003-01-28T00:00:00Z","timestamp":1043712000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"name":"Swedish Natural Science Research Council"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2003,2,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n                  <jats:p>We argue that it can be fruitful to take a predictive view on notions such as the precision of a point estimator and the confidence of an interval estimator in frequentist inference. This predictive approach has implications for conditional inference, because it immediately allows a quantification of the concept of relevance for conditional inference. Conditioning on an ancillary statistic makes inference more relevant in this sense, provided that the ancillary is a precision index. Not all ancillary statistics satisfy this demand. We discuss the problem of choice between alternative ancillary statistics. The approach also has implications for the best choice of variance estimator, taking account of correlations with the squared error of estimation itself. The theory is illustrated by numerous examples, many of which are classical.<\/jats:p>","DOI":"10.1111\/1467-9868.00387","type":"journal-article","created":{"date-parts":[[2003,3,12]],"date-time":"2003-03-12T14:37:44Z","timestamp":1047479864000},"page":"299-315","source":"Crossref","is-referenced-by-count":11,"title":["Conditional Statistical Inference and Quantification of Relevance"],"prefix":"10.1093","volume":"65","author":[{"given":"Rolf","family":"Sundberg","sequence":"first","affiliation":[{"name":"Stockholm University , Sweden"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2003,1,28]]},"reference":[{"key":"2023040803082137000_","first-page":"163","volume-title":"Foundations of Statistical Inference","author":"Barnard","year":"1971"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1093\/biomet\/67.2.293","article-title":"Conditionality resolutions","volume":"67","author":"Barndorff-Nielsen","year":"1980","journal-title":"Biometrika"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-3210-5","volume-title":"Inference and Asymptotics","author":"Barndorff-Nielsen","year":"1994"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"319","DOI":"10.2307\/3318417","article-title":"Prediction and asymptotics","volume":"2","author":"Barndorff-Nielsen","year":"1996","journal-title":"Bernoulli"},{"key":"2023040803082137000_","first-page":"3","article-title":"Recovery of ancillary information","volume":"26","author":"Basu","year":"1964","journal-title":"Sankhya"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"89","DOI":"10.2307\/1402734","article-title":"On Cox's criterion for discriminating between alternative ancillary statistics","volume":"51","author":"Becker","year":"1983","journal-title":"Int. Statist. Rev."},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1080\/01621459.1982.10477850","article-title":"Some ancillary statistics and their properties (with discussion)","volume":"77","author":"Buehler","year":"1982","journal-title":"J. Am. Statist. Ass."},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1214\/aoms\/1177706618","article-title":"Some problems connected with statistical inference","volume":"29","author":"Cox","year":"1958","journal-title":"Ann. Math. Statist."},{"key":"2023040803082137000_","first-page":"251","article-title":"The choice between alternative ancillary statistics","volume":"33","author":"Cox","year":"1971","journal-title":"J. R. Statist. Soc."},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1093\/biomet\/67.2.279","article-title":"Local ancillarity","volume":"67","author":"Cox","year":"1980","journal-title":"Biometrika"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-2887-0","volume-title":"Theoretical Statistics","author":"Cox","year":"1974"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1111\/j.2517-6161.1991.tb01810.x","article-title":"Fisherian inference in likelihood and prequential frames of reference (with discussion)","volume":"53","author":"Dawid","year":"1991","journal-title":"J. R. Statist. Soc."},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1093\/biomet\/65.3.457","article-title":"Assessing the accuracy of the maximum likelihood estimator: observed versus expected Fisher information (with discussion)","volume":"65","author":"Efron","year":"1978","journal-title":"Biometrika"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"39","DOI":"10.2307\/2342435","article-title":"The logic of inductive inference (with discussion)","volume":"98","author":"Fisher","year":"1935","journal-title":"J. R. Statist. Soc."},{"key":"2023040803082137000_","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198522294.002.0003","volume-title":"Statistical Methods for Research Workers","author":"Fisher","year":"1990"},{"key":"2023040803082137000_","volume-title":"Experimental Design","author":"Fisher","year":"1990"},{"key":"2023040803082137000_","first-page":"41","volume-title":"Multivariate Statistical Inference","author":"Fraser","year":"1973"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"325","DOI":"10.2307\/1403483","article-title":"Frequentist post-data inference","volume":"63","author":"Goutis","year":"1995","journal-title":"Int. Statist. Rev."},{"key":"2023040803082137000_","first-page":"351","article-title":"Simple counterexamples against the conditionality principle","volume":"49","author":"Helland","year":"1995","journal-title":"Am. Statistn"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1093\/biomet\/67.2.287","article-title":"Likelihood as approximate pivotal distribution","volume":"67","author":"Hinkley","year":"1980","journal-title":"Biometrika"},{"key":"2023040803082137000_","first-page":"33","article-title":"Post stratification","volume":"142","author":"Holt","year":"1979","journal-title":"J. R. Statist. Soc."},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1093\/biomet\/62.2.251","article-title":"Sufficiency and conditionality (with discussion)","volume":"62","author":"Kalbfleisch","year":"1975","journal-title":"Biometrika"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"2172","DOI":"10.1214\/aos\/1069362393","article-title":"On second-order optimality of the observed Fisher information","volume":"25","author":"Lindsay","year":"1997","journal-title":"Ann. Statist."},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1111\/j.1467-842X.1992.tb01357.x","article-title":"Effective conditioning","volume":"34","author":"Lloyd","year":"1992","journal-title":"Aust. J. Statist."},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1093\/biomet\/71.2.233","article-title":"Local sufficiency","volume":"71","author":"McCullagh","year":"1984","journal-title":"Biometrika"},{"key":"2023040803082137000_","volume-title":"Tensor Methods in Statistics","author":"McCullagh","year":"1987"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1093\/biomet\/79.2.247","article-title":"Conditional inference and Cauchy models","volume":"79","author":"McCullagh","year":"1992","journal-title":"Biometrika"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1214\/ss\/1177010027","article-title":"The roles of conditioning in inference (with discussion)","volume":"10","author":"Reid","year":"1995","journal-title":"Statist. Sci."},{"key":"2023040803082137000_","first-page":"742","article-title":"Conditional properties of statistical procedures","volume":"7","author":"Robinson","year":"1979","journal-title":"Ann. Statist."},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"1756","DOI":"10.1214\/aoms\/1177698162","article-title":"Ancillary statistics and estimation of the loss in estimation problems","volume":"39","author":"Sandved","year":"1968","journal-title":"Ann. Math. Statist."},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1093\/biomet\/80.2.305","article-title":"Local ancillarity in the presence of a nuisance parameter","volume":"80","author":"Severini","year":"1993","journal-title":"Biometrika"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1093\/biomet\/81.1.157","article-title":"Precision estimation in sample survey inference: a criterion for choice between variance estimators","volume":"81","author":"Sundberg","year":"1994","journal-title":"Biometrika"},{"key":"2023040803082137000_","volume-title":"Conditional statistical inference and quantification of relevance","author":"Sundberg","year":"1996"},{"key":"2023040803082137000_","volume-title":"Ancillarity and conditional inference for ML and interval estimates in classical genetic linkage trials","author":"Sundberg","year":"2000"},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1023\/A:1012500932414","article-title":"Comparison of confidence procedures for type I censored exponential lifetimes","volume":"7","author":"Sundberg","year":"2001","journal-title":"Lifetime Data Anal."},{"key":"2023040803082137000_","first-page":"426","article-title":"Tests of significance for 2 \u00d7 2 contingency tables (with discussion)","volume":"147","author":"Yates","year":"1984","journal-title":"J. R. Statist. Soc."},{"key":"2023040803082137000_","doi-asserted-by":"crossref","first-page":"111","DOI":"10.2307\/3315827","article-title":"Information, ancillarity, and sufficiency in the presence of nuisance parameters","volume":"22","author":"Zhu","year":"1994","journal-title":"Can. J. Statist."}],"container-title":["Journal of the Royal Statistical Society Series B: Statistical Methodology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2F1467-9868.00387","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/65\/1\/299\/49799754\/jrsssb_65_1_299.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/65\/1\/299\/49799754\/jrsssb_65_1_299.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,11]],"date-time":"2024-12-11T18:11:41Z","timestamp":1733940701000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/65\/1\/299\/7110608"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1,28]]},"references-count":37,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2003,1,28]]},"published-print":{"date-parts":[[2003,2,1]]}},"URL":"https:\/\/doi.org\/10.1111\/1467-9868.00387","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"value":"1369-7412","type":"print"},{"value":"1467-9868","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2003,2]]},"published":{"date-parts":[[2003,1,28]]}}}