{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T14:48:33Z","timestamp":1762008513320,"version":"build-2065373602"},"reference-count":11,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[1988,7,1]],"date-time":"1988-07-01T00:00:00Z","timestamp":583718400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1988,7,1]]},"abstract":"<jats:title>SUMMARY<\/jats:title>\n               <jats:p>This paper discusses the two-sample test of location based on the comparison of two distribution-free one-sample confidence intervals derived from sign statistics. This test procedure, first introduced by Hettmansperger (1984), rejects the null hypothesis of equal population medians when the two intervals are disjoint. He presents three different ways to select the two one-sample intervals and one choice leads to Mood's test. All solutions have the same Pitman efficiency. This paper shows that the choices can be distinguished on the basis of Bahadur's efficiency. We formulate the problem in terms of (asymptotically) fixed width confidence intervals. In this context various median tests (including Mood's test) arise as special cases and they yield different performance. The solution that specifies equal asymptotic lengths for the one-sample intervals (which is different from Mood's test) is recommended.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1988.tb01739.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T06:49:57Z","timestamp":1544165397000},"page":"437-444","source":"Crossref","is-referenced-by-count":3,"title":["Bahadur Efficiency of Two-Sample Tests Based on One-Sample Sign Statistics"],"prefix":"10.1093","volume":"50","author":[{"given":"Mara","family":"Tableman","sequence":"first","affiliation":[{"name":"Northern Illinois University \u00a0 USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas P.","family":"Hettmansperger","sequence":"additional","affiliation":[{"name":"The Pennsylvania State University \u00a0 USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"key":"2024090920563449700_rssb01739-cit-0001","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1214\/aoms\/1177698949","article-title":"Rates of convergence of estimates and test statistics","volume":"38","author":"Bahadur","year":"1967","journal-title":"Ann. Math. Statist."},{"key":"2024090920563449700_rssb01739-cit-0002","doi-asserted-by":"crossref","first-page":"692","DOI":"10.1080\/01621459.1968.11009287","article-title":"The first median test: A two-sided version of the control median test","volume":"63","author":"Gastwirth","year":"1968","journal-title":"J. Amer. Statist. Ass."},{"key":"2024090920563449700_rssb01739-cit-0003","doi-asserted-by":"crossref","first-page":"45","DOI":"10.2307\/2347662","article-title":"Two-sample inference based on one-sample sign statistics","volume":"33","author":"Hettmansperger","year":"1984","journal-title":"Appl. Statist."},{"key":"2024090920563449700_rssb01739-cit-0004","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1214\/aoms\/1177692712","article-title":"An elementary theorem on the probability of large deviations","volume":"43","author":"Killeen","year":"1972","journal-title":"Ann. Math. Statist."},{"key":"2024090920563449700_rssb01739-cit-0005","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1214\/aoms\/1177731460","article-title":"A method of testing the hypothesis that two samples are from the same population","volume":"14","author":"Mathisen","year":"1943","journal-title":"Ann. Math. Statist."},{"volume-title":"Introduction to the Theory of Statistics.","year":"1950","author":"Mood","key":"2024090920563449700_rssb01739-cit-0006"},{"key":"2024090920563449700_rssb01739-cit-0007","first-page":"665","article-title":"Robustness of some procedures for the two-sample location problem","volume":"59","author":"Pratt","year":"1964","journal-title":"J. Amer. Statist. 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