Abstract
In this paper I consider a problem of identifying all effective and superior drug combinations. I formulate this problem in terms of a family of hypotheses and propose a two-stage method to solve it. The first stage uses individual p-values obtained via the Min tests, whereas Holm's approach is employed in the second stage to draw simultaneous inferences. This procedure is shown to control the family-wise error rate in a strong sense. The performance of the procedure is studied by simulation for different parameter settings. The conclusions of the simulation study are stated in terms of the power, family-wise error rate and lack of power.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 280-291 |
| Number of pages | 12 |
| Journal | Journal of Biopharmaceutical Statistics |
| Volume | 19 |
| Issue number | 2 |
| DOIs | |
| State | Published - Mar 1 2009 |
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Keywords
- Closed testing
- Dose-response
- Minimum effective dose
- Multiple testing
- Step-down procedure
ASJC Scopus subject areas
- Pharmacology (medical)
- Pharmacology
- Statistics and Probability
Cite this
On identifying effective and superior drug combinations via Holm's procedure based on the Min tests. / Soulakova, Julia N.
In: Journal of Biopharmaceutical Statistics, Vol. 19, No. 2, 01.03.2009, p. 280-291.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On identifying effective and superior drug combinations via Holm's procedure based on the Min tests
AU - Soulakova, Julia N
PY - 2009/3/1
Y1 - 2009/3/1
N2 - In this paper I consider a problem of identifying all effective and superior drug combinations. I formulate this problem in terms of a family of hypotheses and propose a two-stage method to solve it. The first stage uses individual p-values obtained via the Min tests, whereas Holm's approach is employed in the second stage to draw simultaneous inferences. This procedure is shown to control the family-wise error rate in a strong sense. The performance of the procedure is studied by simulation for different parameter settings. The conclusions of the simulation study are stated in terms of the power, family-wise error rate and lack of power.
AB - In this paper I consider a problem of identifying all effective and superior drug combinations. I formulate this problem in terms of a family of hypotheses and propose a two-stage method to solve it. The first stage uses individual p-values obtained via the Min tests, whereas Holm's approach is employed in the second stage to draw simultaneous inferences. This procedure is shown to control the family-wise error rate in a strong sense. The performance of the procedure is studied by simulation for different parameter settings. The conclusions of the simulation study are stated in terms of the power, family-wise error rate and lack of power.
KW - Closed testing
KW - Dose-response
KW - Minimum effective dose
KW - Multiple testing
KW - Step-down procedure
UR - http://www.scopus.com/inward/record.url?scp=60749116315&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=60749116315&partnerID=8YFLogxK
U2 - 10.1080/10543400802622469
DO - 10.1080/10543400802622469
M3 - Article
VL - 19
SP - 280
EP - 291
JO - Journal of Biopharmaceutical Statistics
JF - Journal of Biopharmaceutical Statistics
SN - 1054-3406
IS - 2
ER -