Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 29, 2000 - Issue 11
Submit an article Journal homepage
55
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

On mantel-haenszel type estimators in simple nested case-control studies

Zhong-Zhan Zhang Institute of Statistics, Beijing Polytechnic University, Beijing, 100022, ChinaView further author information
,
Yoshinori Fuji Department of Mathematics, Miyazaki University, Miyazaki, 889-2192, JapanView further author information
&
Takashi Yanagawa Graduate School of Mathematics, Kyushu University, Fukuoka, 812-8581, Japan
Pages 2507-2521 | Received 01 Dec 1999, Published online: 23 Jul 2008

  • Anderson , J. R. and L. , Bernstein . 1985 . Asymptotically efficient two-step estimators of the hazards ratio for follow-up studies and survival data . Biometrics , 41 : 733 – 739 .
  • Bernstein , L. , Anderson , J. and Pike , M.C. 1981 . Estimation of the proportional hazard in two-treatment-group clinical trials . Biometrics , 37 : 513 – 519 .
  • Breslow , N. 1981 . Odds ratio estimators when the data are sparse . Biometrika , 68 : 73 – 84 .
  • Cox , D.R. 1972 . Regression models and life-tables (with discussion) . Journal of Royal Statistical Society , B 34 : 187 – 220 .
  • Crowley , J. L. , Liu , P.Y. and Veolkel , J.C. 1982 . “ Estimation of the ratio of hazard functions ” . In Survival Analysis: IMS Lecture Notes-Monograph Series , Edited by: Crowley , J. and Johnson , R.A. Vol. 12 , 56 – 73 . Hayward, California : The Institute of Mathematical Statistics .
  • Langholz , B. and Goldstein , L. 1996 . Risk set sampling in epidemiologic cohort studies . Statistical Sciences , 11 : 35 – 53 .
  • Langhoiz , B. and Thomas , D. C. 1991 . Efficiency of cohort sampling designs: some surprising results . Biometrics , 47 : 1563 – 1571 .
  • Liang , K.Y. 1985 . Odds ratio inference with dependent data . Biometrika , 72 : 678 – 682 .
  • Liang , K.Y. 1987 . Extended Mantel-Haenszel estimating procedure for multivariate logistic regression models . Biometrics , 43 : 289 – 299 .
  • Mantelt , N. and Haenszel , W. 1959 . Statistical aspects of the analysis of data from retrospective studies of disease . Journal of the National Cancer Institute , 22 : 719 – 748 .
  • Prentice , R.L. 1986 . On the design of synthetic case-control studies . Biometrics , 42 : 301 – 310 .
  • Robins , J. , Prentice , R. L. and Blevins , D. 1989 . Designs for synthetic case-control studies in open cohorts . Biometrics , 45 : 1103 – 1116 .
  • Thomas , D. C. 1977 . Addendum to a paper by F. D. K. Liddel, J. C. McDonald and D. C. Thomas . J. Roy, Statist Soc, Ser. A , 140 : 483 – 485 .
  • Yanagawa , T. and Fujii , Y. 1995 . Projection-method Mantel-Haenszel estimator for K 2 x J tables . Journal of the American Statistical Association , 90 : 649 – 656 .
  • Yanagimoto , T. 1992 . The Mantel-Haenszel statistics for the extended odds ratio in the negative binomial distribution . J. Japan Statist. Soc , 22 : 7 – 17 .
  • Zhang , Z. Z. and Yanagawa , T. 2000 . Generalized Begun-Reid estimators for multiple hazard ratios . Journal of Statistical Planning and Inference , 22

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.