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C+-probability : ウィキペディア英語版
C+-probability

In statistics, a c+-probability is the probability that a contrast variable obtains a positive value.
Using a replication probability, the c+-probability is defined as follows: if we get a random draw from each group (or factor level) and calculate the sampled value of the contrast variable based on the random draws, then the c+-probability is the chance that the sampled values of the contrast variable are greater than 0 when the random drawing process is repeated infinite times. The c+-probability is a probabilistic index accounting for distributions of compared groups (or factor levels).
The c+-probability and SMCV are two characteristics of a contrast variable. There is a link between SMCV and c+-probability.〔
〔 The SMCV and c+-probability provides a consistent interpretation to the strength of comparisons in contrast analysis.〔 When only two groups are involved in a comparison, the c+-probability becomes d+-probability which is the probability that the difference of values from two groups is positive. To some extent, the d+-probability (especially in the independent situations) is equivalent to the well-established probabilistic index P(''X'' > ''Y''). Historically, the index P(''X'' > ''Y'') has been studied and applied in many areas.



The c+-probability and d+-probability have been used for data analysis in high-throughput experiments and biopharmaceutical research.〔

==See also==

* Contrast (statistics)
* Effect size
* SSMD
* SMCV
* Contrast variable
* ANOVA

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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