Details
| Original language | English |
|---|---|
| Pages (from-to) | 433-447 |
| Number of pages | 15 |
| Journal | Therapeutic Innovation & Regulatory Science |
| Volume | 31 |
| Issue number | 2 |
| Publication status | Published - 30 Dec 1997 |
Abstract
Comparisons of several treatments with a control represent a standard situation in preclinical trials. Usually, they are considered with a single variable, resulting in multiple test procedures such as the Dunnett test (1). Here, the multivariate many-to-one problem is considered, where several variables are observed on each individual of the control and treatment groups. Classical MANOVA tests and their derivatives for the many-to-one problem require large sample sizes in order to be powerful if the dimension is high. In this paper, a new class of stabilized multivariate tests proposed by Läuter (2) and Läuter, Glimm, and Kropf (3) is extended to this special design. The new tests are based on linear scores which are derived in a certain way from the original variables. They utilize factorial relations among the variables. It is shown here that the procedures keep the multiple level. In simulation experiments several versions of multivariate tests are compared with each other. Standard approaches are included as well as different score versions and a comparison of Dunnett-like procedures with Bonferroni-type procedures. Generally, an improved power of the new tests compared to standard procedures is demonstrated.
Keywords
- Dunnett test, Many-to-one procedures, Multivariate tests, Principal component test, Stabilized scores
ASJC Scopus subject areas
- Pharmacology, Toxicology and Pharmaceutics(all)
- Pharmacology, Toxicology and Pharmaceutics (miscellaneous)
- Medicine(all)
- Public Health, Environmental and Occupational Health
- Medicine(all)
- Pharmacology (medical)
Sustainable Development Goals
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In: Therapeutic Innovation & Regulatory Science, Vol. 31, No. 2, 30.12.1997, p. 433-447.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Multivariate many-to-one procedures with applications to preclinical trials
AU - Kropf, Siegfried
AU - Hothorn, Ludwig A.
AU - Läuter, Jürgen
PY - 1997/12/30
Y1 - 1997/12/30
N2 - Comparisons of several treatments with a control represent a standard situation in preclinical trials. Usually, they are considered with a single variable, resulting in multiple test procedures such as the Dunnett test (1). Here, the multivariate many-to-one problem is considered, where several variables are observed on each individual of the control and treatment groups. Classical MANOVA tests and their derivatives for the many-to-one problem require large sample sizes in order to be powerful if the dimension is high. In this paper, a new class of stabilized multivariate tests proposed by Läuter (2) and Läuter, Glimm, and Kropf (3) is extended to this special design. The new tests are based on linear scores which are derived in a certain way from the original variables. They utilize factorial relations among the variables. It is shown here that the procedures keep the multiple level. In simulation experiments several versions of multivariate tests are compared with each other. Standard approaches are included as well as different score versions and a comparison of Dunnett-like procedures with Bonferroni-type procedures. Generally, an improved power of the new tests compared to standard procedures is demonstrated.
AB - Comparisons of several treatments with a control represent a standard situation in preclinical trials. Usually, they are considered with a single variable, resulting in multiple test procedures such as the Dunnett test (1). Here, the multivariate many-to-one problem is considered, where several variables are observed on each individual of the control and treatment groups. Classical MANOVA tests and their derivatives for the many-to-one problem require large sample sizes in order to be powerful if the dimension is high. In this paper, a new class of stabilized multivariate tests proposed by Läuter (2) and Läuter, Glimm, and Kropf (3) is extended to this special design. The new tests are based on linear scores which are derived in a certain way from the original variables. They utilize factorial relations among the variables. It is shown here that the procedures keep the multiple level. In simulation experiments several versions of multivariate tests are compared with each other. Standard approaches are included as well as different score versions and a comparison of Dunnett-like procedures with Bonferroni-type procedures. Generally, an improved power of the new tests compared to standard procedures is demonstrated.
KW - Dunnett test
KW - Many-to-one procedures
KW - Multivariate tests
KW - Principal component test
KW - Stabilized scores
UR - http://www.scopus.com/inward/record.url?scp=84993740394&partnerID=8YFLogxK
U2 - 10.1177/009286159703100214
DO - 10.1177/009286159703100214
M3 - Article
AN - SCOPUS:84993740394
VL - 31
SP - 433
EP - 447
JO - Therapeutic Innovation & Regulatory Science
JF - Therapeutic Innovation & Regulatory Science
SN - 2168-4790
IS - 2
ER -