C+-probability
In statistics, a c+-probability is the probability that a contrast variable obtain positive values [1]. 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) [2].
The c+-probability and SMCV are two characteristics of a contrast variable. There is a link between SMCV and c+-probability [2] [1]. The SMCV and c+-probability provides a consistent interpretation to the strength of comparisons in contrast analysis [2]. 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 [3]. To some extent, the d+-probability is equivalent to the well-established probabilistic index P(X > Y) [4] [5] [6] [7] [8] .
See also
References
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{{cite journal}}: Cite has empty unknown parameter:|month=(help) - ^ a b c Zhang XHD (2011). Optimal High-Throughput Screening: Practical Experimental Design and Data Analysis for Genome-scale RNAi Research. Cambridge University Press. ISBN 978-0-521-73444-8.
- ^ Zhang XHD (2007). "A new method with flexible and balanced control of false negatives and false positives for hit selection in RNA interference high-throughput screening assays". Journal of Biomolecular Screening. 12: 645–55. doi:10.1177/1087057107300645.
{{cite journal}}: Cite has empty unknown parameter:|month=(help) - ^ Owen DB, Graswell KJ, Hanson DL (1964). "Nonparametric upper confidence bounds for P(Y < X) and confidence limits for P(Y<X) when X and Y are normal". Journal of American Statistical Association. 59: 906–24.
{{cite journal}}: Cite has empty unknown parameter:|month=(help)CS1 maint: multiple names: authors list (link) - ^ Church JD, Harris B (1970). "The estimation of reliability from stress-strength relationships". Technometrics. 12: 49–54.
{{cite journal}}: Cite has empty unknown parameter:|month=(help) - ^ Downton F (1973). "The estimation of Pr(Y < X) in normal case". Technometrics. 15: 551–8.
{{cite journal}}: Cite has empty unknown parameter:|month=(help) - ^ Reiser B, Guttman I (1986). "Statistical inference for of Pr(Y-less-thaqn-X) - normal case". Technometrics. 28: 253–7.
{{cite journal}}: Cite has empty unknown parameter:|month=(help) - ^ Acion L, Peterson JJ, Temple S, Arndt S (2006). "Probabilistic index: an intuitive non-parametric approach to measuring the size of treatment effects". Statistics in Medicine. 25: 591–602. doi:10.1002/sim.2256.
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