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SPEAKER: |
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TITLE: |
"Sample Size Determination in Treatments vs Control Multiple Tests" |
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DAY: |
Wednesday, March 28, 2001 |
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TIME: |
3:30 p.m. [Tea & cookies in BSB-202 at 3:00 p.m.] |
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PLACE: |
BSB-108 |
We consider the problem of multiple hypotheses testing of k treatments versus a common "control" treatment, assuming normal distributions and homogeneous variances. We review the history of the problem and the development of single-step and stepwise (step- down and step-up) tests. Then we consider some definitions of power and the determination of sample sizes needed to meet a specified power requirement. Based on joint work with Ajit Tamhane, Northwestern University, and Manfred Horn and Ruediger Vollandt, University of Jena in Germany.
Dr. Charles Dunnett is Professor Emeritus in the Departments of Mathematics & Statistics and Clinical Epidemiology & Biostatistics at McMaster University. He has a BA degree from McMaster in mathematics and physics, an MA from University of Toronto in mathematics and a DSc from University of Aberdeen in statistics. He also did graduate study at Columbia University in mathematical statistics. During the Second World War, he served as a radar officer in the Fleet Air Arm and was awarded the MBE. He was employed as a statistician at Health and Welfare Canada in Ottawa and at Lederle Laboratories in Pearl River, New York, where he was head of the Statistical Design and Analysis Department. He joined McMaster as Professor in 1974 and was Chair of the Department of Applied Mathematics in 1977-9. In 1987, he was appointed Professor Emeritus and since then has continued his research interests in medical statistics and multiple testing methods. He has spent research leaves at Cornell University, University of Aberdeen and University of Swansea and has been a Fellow of the American Statistical Association since 1965. He was awarded the Gold Medal of the Statistical Society of Canada in 1986.
The references below, suggested by the speaker as useful background for this talk, have been placed on reserve at Thode Library (STATS 770: Statistics Seminar).
[1] Hayter, A.J. & Tamhane, A.C. (1991). Sample Size Determination for Step-Down Multiple Test Procedures: Orthogonal Contrasts and Comparisons with a Control, JOURNAL OF STATISTICAL PLANNING AND INFERENCE 27, pp. 271-290.
[2] Dunnett, C.W. & Tamhane, A.C. (1992). A Step-Up Multiple Test Procedure, JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION 87, pp. 162-170.
[3] Dunnett, C.W., Horn, M. & Vollandt, R. (2001). Sample Size Determination in Step-Down and Step-Up Multiple Tests for Comparing Treatments with a Control, JOURNAL OF STATISTICAL PLANNING AND INFERENCE, to be published.