A method of assessing the sensitivity of the Cochran-Mantel-Haenszel test to an unobserved confounder

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 366, Issue 1874, 2008, Pages 2377-2388

  Yu, Binbing ^a   Gastwirth, Joseph L ^b  

^a NATIONAL INSTITUTE ON AGING   (United States)

^b GEORGE WASHINGTON UNIVERSITY   (United States)

Author keywords

Cochran Mantel Haenszel test; Confounders; Sensitivity analysis; Stratification

Indexed keywords

ARCHITECTURAL DESIGN; COMPUTER NETWORKS; CONTROL THEORY; HEALTH; LEAD; NUMBER THEORY; NUMERICAL METHODS; PROGRAMMING THEORY; RHENIUM; RISK ASSESSMENT; ROBUST CONTROL; TESTING;

ALLOPURINOL (ALLO); CASE-CONTROL; CAUSAL RELATIONSHIPS; COMPUTER CODING; CONFOUNDING FACTORS; COVARIATES; DATA-SETS; LOW BIRTH WEIGHT (LBW); MANTEL HAENSZEL TEST; OBSERVATIONAL STUDIES; RISK FACTORS; STRENGTH (IGC: D5/D6);

SENSITIVITY ANALYSIS;

ALLOPURINOL;

ARTICLE; BIOMETRY; DRUG ERUPTION; FACTUAL DATABASE; FEMALE; FETOMATERNAL TRANSFUSION; HUMAN; HYPERTENSION; LOW BIRTH WEIGHT; METHODOLOGY; NEWBORN; PREGNANCY; PREGNANCY COMPLICATION; RISK FACTOR; SENSITIVITY AND SPECIFICITY; STATISTICAL MODEL;

ALLOPURINOL; BIOMETRY; DATABASES, FACTUAL; DRUG ERUPTIONS; FEMALE; HUMANS; HYPERTENSION; INFANT, LOW BIRTH WEIGHT; INFANT, NEWBORN; MATERNAL-FETAL EXCHANGE; MODELS, STATISTICAL; PREGNANCY; PREGNANCY COMPLICATIONS, CARDIOVASCULAR; RISK FACTORS; SENSITIVITY AND SPECIFICITY;

EID: 45749111844     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2008.0030     Document Type: Article

References (20)

1. Boston Collaborative Drug Project 1972 Excess of ampicillin rashes associated with allopurinol or hyperuricemia. N. Engl. J. Med. 286, 505 507.
2. Centers for Disease Control and Prevention 2002 Infant mortality and low birth weight among black and white infants United States, 1980-2000. Morb. Mortal. Wkly Rep. 51, 589 592.
3. Cochran, W. G. 1954 Some methods for strengthening the common X2 tests. Biometrics 10, 417 451. (doi:10.2307/3001616)
4. Cornfield, J., Haenszel, W., Lilienfeld, A., Shimkin, M. & Wynder, E. 1959 Smoking and lung cancer. J. Natl Cancer Inst. 22, 173 203.
5. David, R. J. & Collins, J. W. 1997 Differing birth weight among infants of U.S. born blacks, African-born blacks, and U.S. born whites. N. Engl. J. Med. 337, 1209 1214. (doi:10.1056/ NEJM199710233371706)
6. Gastwirth, J. L. 1988 Statistical reasoning in law and public policy. San Diego, CA: Academic Press.
7. Gastwirth, J. L. 1992 Methods for assessing the sensitivity of statistical comparisons used in Title VII cases to omitted variables. Jurimetrics 33, 19 34.
8. Gastwirth, J. L., Krieger, A. M. & Rosenbaum, P. R. 1998 Dual and simultaneous sensitivity analysis for matched pairs. Biometrika 85, 907 920. (doi:10.1093/biomet/85.4.907)
9. Geronimus, A. T., Keene, D., Hicken, M. & Bound, J. 2007 Black-white differences in age trajectories of hypertension prevalence among adult women and men, 1999-2002. Ethn. Dis. 17, 40 48.
10. Hills, M. & De Stavola, B. 2002 A short introduction to Stata 8 for biostatistics. London, UK: Timberlake Consultants Ltd. See http://www.timberlake.co.uk.
11. Holland, P. W. 1986 Statistics and causal inference. J. Am. Stat. Assoc. 81, 945 960. (doi:10.2307/ 2289064)
12. Mantel, N. & Haenszel, W. 1959 Statistical aspects of retrospective studies of disease. J. Natl Cancer Inst. 22, 719 748.
13. Rosenbaum, P. R. 2002 Observational studies, 2nd edn. New York, NY: Springer.
14. Rosenbaum, P. R. & Krieger, A. 1990 Sensitivity analysis for two-sample permutation inference in observational studies. J. Am. Stat. Assoc. 85, 493 498. (doi:10.2307/2289789)
15. Rosenbaum, P. R. & Rubin, D. B. 1983 Assessing sensitivity to an unobserved binary covariate in an observational study with binary outcomes. J. R. Stat. Soc. Ser. B 45, 212 218.
16. Rosenbaum, P. R. & Rubin, D. B. 1984 Reducing bias in observational studies using subclassification on the propensity score. J. Am. Stat. Assoc. 79, 516 524. (doi:10.2307/ 2288398)
17. US Department of Health and Human Services, 2000 Healthy people 2010, vols. 2 (conference ed.). Washington, DC: US Department of Health and Human Services.
18. Woolson, R. F., Bean, J. A. & Rojas, P. B. 1986 Sample size for case-control studies using Cochran's statistic. Biometrics 42, 927 932. (doi:10.2307/2530706)
19. Yu, B. & Gastwirth, J. L. 2005 Sensitivity analysis for trend tests: application to the risk of radiation exposure. Biostatistics 6, 201 209. (doi:10.1093/biostatistics/kxi003)
20. Zanutto, E. L., Lu, B. & Hornik, R. 2005 Using propensity score subclassification for multiple treatment doses to evaluate a national anti-drug media campaign. J. Educ. Behav. Stat. 30, 59 73. (doi:10.3102/10769986030001059)