Residential College | false |
Status | 已發表Published |
Contrast Variable for Group Comparisons in Biopharmaceutical Research | |
Zhang X.D.; Heyse J.F. | |
2012-07-01 | |
Source Publication | Statistics in Biopharmaceutical Research |
ISSN | 19466315 |
Volume | 4Issue:3Pages:228-239 |
Abstract | Group comparisons can be conducted at three levels: (1) group means, (2) both group means and variabilities, and (3) group distributions. A traditional contrast is defined as a linear combination of group means; thus, traditional contrast analysis may only effectively address group comparisons in the first level. The concept of a contrast variable has recently been proposed. A contrast variable is defined as a linear combination of random variables (each variable representing random values in a group) instead of group means. Based on a contrast variable, we can use the mean of a contrast to address questions on group comparisons at the first level as in traditional contrast analysis. Meanwhile, we can use the ratio of mean to standard deviation of a contrast variable, that is, standardized mean of a contrast variable (SMCV), to effectively address questions at the second level. We can further use the probability that a contrast variable obtains a positive value, that is, c -probability, to effectively address questions at the third level. In this article, we explore the use of contrast variable, SMCV, and c -probability for comparing multiple groups in biopharmaceutical studies. Contrast variable, c -probability, and SMCV are applicable in a comparison context with or without independence and with or without homoscedasticity. © 2012 Copyright Taylor and Francis Group, LLC. |
Keyword | c +-probability Effect Size Standardized Mean Of a Contrast Variable |
DOI | 10.1080/19466315.2011.646905 |
URL | View the original |
Language | 英語English |
WOS ID | WOS:000309750800002 |
Scopus ID | 2-s2.0-84866004151 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | Faculty of Health Sciences |
Affiliation | Merck Research Laboratories |
Recommended Citation GB/T 7714 | Zhang X.D.,Heyse J.F.. Contrast Variable for Group Comparisons in Biopharmaceutical Research[J]. Statistics in Biopharmaceutical Research, 2012, 4(3), 228-239. |
APA | Zhang X.D.., & Heyse J.F. (2012). Contrast Variable for Group Comparisons in Biopharmaceutical Research. Statistics in Biopharmaceutical Research, 4(3), 228-239. |
MLA | Zhang X.D.,et al."Contrast Variable for Group Comparisons in Biopharmaceutical Research".Statistics in Biopharmaceutical Research 4.3(2012):228-239. |
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