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Grant Details

Grant Number: 1R01CA095749-01A1 Interpret this number
Primary Investigator: Muller, Keith
Organization: Univ Of North Carolina Chapel Hill
Project Title: Internal Pilots for Repeated Measure Anova
Fiscal Year: 2003


Abstract

DESCRIPTION (provided by applicant): Repeated measures of continuous data often provides the best combination of cost and statistical sensitivity for a wide range of health research in many disciplines. As driving examples, consider comparing methods of displaying digital mammograms, or radiotherapy planning films. The limited number and cost of qualified readers encourage choosing a minimum sample size, while scientific goals demand great sensitivity to differences. An accurate sample size analysis allows the scientist to resolve the conflict. Unfortunately, accurate sample size choice requires an accurate value for error variance of Gaussian data. Uncertainty surrounding the variance makes an Internal Pilot design very appealing. Such designs use the first fraction of the data to estimate the variance and then adjust the sample size up or down, as needed to achieve the target power. However, appropriate analysis methods are not available for repeated measures with internal pilots. Our research will meet the need for such new methods. (1) We will develop better statistical power approximations for the "univariate approach" to repeated measures (UNIREP ANOVA), including exact properties and more accurate approximations.(2) We will derive exact and approximate properties of the distribution of final sample size of Internal Pilot designs used with UNIREP ANOVA.(3) We will describe analytic properties of UNIREP ANOVA in Internal Pilot designs, including some exact and large sample distributions, as well as practical algorithms.



Publications

Combining An Internal Pilot With An Interim Analysis For Single Degree Of Freedom Tests
Authors: Kairalla J.A. , Muller K.E. , Coffey C.S. .
Source: Communications In Statistics: Theory And Methods, 2010-12-01 00:00:00.0; 39(20), p. 3717-3738.
PMID: 21037942
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Probabilities For Separating Sets Of Order Statistics
Authors: Glueck D.H. , Karimpour-Fard A. , Mandel J. , Muller K.E. .
Source: Statistics, 2010-04-01 00:00:00.0; 44(2), p. 145-153.
PMID: 21243084
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Powerlib: Sas/iml Software For Computing Power In Multivariate Linear Models
Authors: Johnson J.L. , Muller K.E. , Slaughter J.C. , Gurka M.J. , Gribbin M.J. , Simpson S.L. .
Source: Journal Of Statistical Software, 2009-04-01 00:00:00.0; 30(5), .
PMID: 25400516
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An R2 Statistic For Fixed Effects In The Linear Mixed Model
Authors: Edwards,L.J. , Muller,K.E. , Wolfinger,R.D. , Qaqish,B.F. , Schabenberger,O. .
Source: Statistics In Medicine, 2008-12-20 00:00:00.0; 27(29), p. 6137-57.
PMID: 18816511
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Glumip 2.0: Sas/iml Software For Planning Internal Pilots
Authors: Kairalla J.A. , Coffey C.S. , Muller K.E. .
Source: Journal Of Statistical Software, 2008 Nov; 28(7), .
PMID: 27774042
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Adaptive Clinical Trials: Progress And Challenges
Authors: Coffey,C.S. , Kairalla,J.A. .
Source: Drugs In R&d, 2008; 9(4), p. 229-42.
PMID: 18588354
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Expected Power For The False Discovery Rate With Independence
Authors: Glueck D.H. , Muller K.E. , Karimpour-Fard A. , Hunter L. .
Source: Communications In Statistics: Theory And Methods, 2008 Jan; 37(12), p. 1855-1866.
PMID: 20975846
Related Citations

Exact Calculations Of Average Power For The Benjamini-hochberg Procedure
Authors: Glueck D.H. , Mandel J. , Karimpour-Fard A. , Hunter L. , Muller K.E. .
Source: The International Journal Of Biostatistics, 2008; 4(1), p. Article 11.
PMID: 21243075
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Internal Pilots For A Class Of Linear Mixed Models With Gaussian And Compound Symmetric Data
Authors: Gurka,M.J. , Coffey,C.S. , Muller,K.E. .
Source: Statistics In Medicine, 2007-09-30 00:00:00.0; 26(22), p. 4083-99.
PMID: 17318914
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Statistical Tests With Accurate Size And Power For Balanced Linear Mixed Models
Authors: Muller,K.E. , Edwards,L.J. , Simpson,S.L. , Taylor,D.J. .
Source: Statistics In Medicine, 2007-08-30 00:00:00.0; 26(19), p. 3639-60.
PMID: 17394132
Related Citations

Practical Methods For Bounding Type I Error Rate With An Internal Pilot Design
Authors: Coffey C.S. , Kairalla J.A. , Muller K.E. .
Source: Communications In Statistics: Theory And Methods, 2007; 36(11), .
PMID: 24363489
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Analytic, Computational, And Approximate Forms For Ratios Of Noncentral And Central Gaussian Quadratic Forms
Authors: Kim H.Y. , Gribbin M.J. , Muller K.E. , Taylor D.J. .
Source: Journal Of Computational And Graphical Statistics : A Joint Publication Of American Statistical Association, Institute Of Mathematical Statistics, Interface Foundation Of North America, 2006-06-01 00:00:00.0; 15(2), p. 443-459.
PMID: 23843686
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A New Method For Choosing Sample Size For Confidence Interval-based Inferences
Authors: Jiroutek,M.R. , Muller,K.E. , Kupper,L.L. , Stewart,P.W. .
Source: Biometrics, 2003 Sep; 59(3), p. 580-90.
PMID: 14601759
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