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Contrast Variable for Group Comparisons in Biopharmaceutical Research
Zhang X.D.; Heyse J.F.
2012-07-01
Source PublicationStatistics in Biopharmaceutical Research
ISSN19466315
Volume4Issue:3Pages:228-239
AbstractGroup 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.
Keywordc +-probability Effect size Standardized mean of a contrast variable
DOI10.1080/19466315.2011.646905
URLView the original
Language英語
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Document TypeJournal article
CollectionFaculty of Health Sciences
AffiliationMerck Research Laboratories
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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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