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Original Articles

Sample Size Determination for Testing Equality in a Cluster Randomized Trial with Noncompliance

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Pages 1-17 | Received 14 May 2009, Accepted 20 Sep 2009, Published online: 29 Dec 2010

REFERENCES

  • Angrist , J. D. , Imbens , G. W. , Rubin , D. B. ( 1996 ). Identification of causal effects using instrumental variables . Journal of the American Statistical Association 91 : 444 – 456 .
  • Brunner , E. , Neumann , N. ( 1985 ). On the mathematical basis of Zelen's prerandomized Designs . Methods of Information in Medicine 24 : 120 – 130 .
  • Casella , G. , Berger , R. L. ( 1990 ). Statistical Inference . Belmont , CA : Duxbury .
  • Dexter , P. , Wolinsky , F. , Gramelspacher , G. , Zhou , X. H. , Eckert , G. , Waisburd , M. , Tierney , W. ( 1998 ). Effectiveness of computer-generated reminders for increasing discussions about advance directives and completion of advance directives . Annals of Internal Medicine 128 : 102 – 110 .
  • Donner , A. , Klar , N. ( 2000 ). Design and Analysis of Cluster Randomization Trials in Health Research . London : Arnold .
  • Edwardes , M. D. ( 1995 ). A confidence interval for Pr(X < Y) − Pr(X > Y) estimated from simple cluster samples . Biometrics 51 : 571 – 578 .
  • Fleiss , J. L. ( 1981 ). Statistical Methods for Rates and Proportions. , 2nd ed. New York : Wiley .
  • Frangakis , C. E. , Rubin , D. B. ( 1999 ). Addressing complications of intention-to-treat analysis in the combined presence of all-or-none treatment-noncompliance and subsequent missing outcomes . Biometrika 86 : 365 – 379 .
  • Ialongo , N. S. , Werthamer , L. , Kellam , S. G. , Brown , C. H. , Wang , W. , Lin , Y. ( 1999 ). Proximal impact of two first-grade preventive interventions on the early risk behaviors For later substance abuse, depression and antisocial behavior . American Journal of Community Psychology 27 : 599 – 642 .
  • Jo , B. ( 2002 ). Statistical power in randomized intervention studies with noncompliance . Psychological Methods 7 : 178 – 193 .
  • Jo , B. , Asparouhov , T. , Muthén , B. O. ( 2008 ). Intention-to-treat analysis in cluster randomized trials with noncompliance . Statistics in Medicine 27 : 5565 – 5577 .
  • Johnson , N. L. , Kotz , S. ( 1970 ). Continuous Univariate Distribution: I Distribution in Statistics . New York : Wiley .
  • Li , F. , Frangakis , C. E. ( 2005 ). Designs in partially controlled studies: Messages from a review . Statistical Methods in Medical Research 14 : 417 – 431 .
  • Light , R. J. , Margolin , B. H. ( 1971 ). An analysis of variance categorical data . Journal of the American Statistical Association 66 : 534 – 544 .
  • Little , R. J. A. , Yau , L. H. Y. (1998). Statistical techniques for analyzing data from prevention trials: Treatment of no-shows using Rubin's causal model. Psychological Methods 3:147–159.
  • Loey , T. , Vansteelandt , S. , Goetghebeur , E. ( 2001 ). Accounting for correlation and compliance in cluster randomized trials . Statistics in Medicine 20 : 3753 – 3767 .
  • Lui , K.-J. ( 1991 ). Sample sizes for repeated measurements in dichotomous data . Statistics in Medicine 10 : 463 – 472 .
  • Lui , K.-J. ( 1997 ). Sample size determination for repeated measurements in bioequivalence test . Journal of Pharmacokinetics and Biopharmaceutics 25 : 507 – 513 .
  • Lui , K.-J. ( 2000a ). Notes on life table analysis in correlated observations . Biometrical Journal 42 : 93 – 110 .
  • Lui , K.-J. ( 2000b ). A note on the log-rank test in life table analysis with correlated observations . Biometrical Journal 42 : 457 – 470 .
  • Lui , K.-J. ( 2004 ). Statistical Estimation of Epidemiological Risk . New York : Wiley .
  • Lui , K.-J. ( 2005 ). Interval estimation of the difference in proportions under m-to-one matching . Statistics in Medicine 24 : 1765 – 1776 .
  • Lui , K.-J. ( 2006 ). A note on hypothesis test in binary data under the single-consent randomized design . Drug Information Journal 40 : 219 – 227 .
  • Lui , K.-J. , Chang , K. C. ( 2008a ). Testing equality and sample size calculation based on risk difference in a randomized clinical trial with noncompliance and missing outcomes . Biometrical Journal 50 : 224 – 236 .
  • Lui , K.-J. , Chang , K. C. ( 2008b ). Sample size determination for assessing equivalence based on proportion ratio under a randomized trial with non-compliance and missing outcomes . Statistics in Medicine 27 : 47 – 67 .
  • Lui , K.-J. , Cumberland , W. G. ( 1992 ). Sample size requirement for repeated measurements in continuous data . Statistics in Medicine 11 : 633 – 641 .
  • Lui , K.-J. , Cumberland , W. G. , Mayer , J. A. , Eckhardt , L. ( 1999 ). Interval estimation for the intraclass correlation in Dirichlet-multinomial data . Psychometrika 64 : 355 – 369 .
  • Matsui , S. ( 2005 ). Stratified analysis in randomized trials with noncompliance . Biometrics 61 : 816 – 823 .
  • Matsuyama , Y. ( 2002 ). Correcting for noncompliance of repeated binary outcomes in randomized clinical trials: Randomized analysis approach . Statistics in Medicine 21 : 675 – 687 .
  • McDonald , C. J. , Hui , S. L. , Tierney , W. M. ( 1991 ). Effects of computer reminders for influenza vaccination on morbidity during influenza epidemics . M. D. Computing 9 : 304 – 312 .
  • Rae , G. ( 1988 ). The equivalence of multiple rater kappa statistics and intraclass correlation coefficients . Educational and Psychological Measurement 48 : 367 – 374 .
  • SAS Institute , Inc. ( 1990 ). SAS Language Reference Version 6 . Cary , NC : SAS Institute, Inc .
  • Sato , T. ( 2000 ). Sample size calculations with compliance information . Statistics in Medicine 19 : 2689 – 2697 .
  • Sato , T. ( 2001 ). A method for the analysis of repeated binary outcomes in randomized clinical trials with non-compliance . Statistics in Medicine 20 : 2761 – 2774 .
  • Sommer , A. , Zeger , S. L. ( 1991 ). On estimating efficacy from clinical trials . Statistics in Medicine 10 : 45 – 52 .
  • Sommer , A. , Tarwotjo , I. , Djunaedi , E. , West , K. P. , Loedin , A. A. , Tilden , R. , Mele , L. ( 1986 ). Impact of vitamin A supplementation on childhood mortality: a randomized controlled community trial . Lancet i : 1169 – 1173 .
  • Zelen , M. ( 1979 ). A new design for randomized clinical trials . New England Journal of Medicine 300 : 1242 – 1245 .
  • Zelen , M. ( 1990 ). Randomized consent designs for clinical trials: an update . Statistics in Medicine 9 : 645 – 656 .
  • Zhou , X. H. , Li , S. M. ( 2006 ). ITT analysis of randomized encouragement design studies with missing data . Statistics in Medicine 25 : 2737 – 2761 .

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