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If we do not use the sum of probabilities, then we have multiple probability values for each objective function.
A nomogram generated from an Australian cohort was recently published (O'Brien et al, 2011), and for multiple probability cutoffs predicting indolent PCa, they gave coexisting rates of high-risk disease.
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As a mathematician he used Bayesian search theory, crunching multiple probabilities to produce contour maps and then to pinpoint a site to within a few hundred yards.
This modal setting involving multiple probabilities has generally been given a (1) stochastic interpretation, concerning different probabilities over the next states a system might transition into (Larsen and Skou 1991), and (2) a subjective interpretation, concerning different probabilities that different agents may have about a situation or each other's probabilities (Fagin and Halpern 1988).
For instance, in Figures 1 multiple probabilities of association < 10-4 areportedted.
After applying the Bonferroni correction for evaluating multiple probabilities (Bretz et al. 2010), only the projections of areas 7A and DP to area 10 were inconsistent despite a statistically very low probability of being so.
Fisher's method combines multiple probabilities from independent tests of the same hypothesis and generates one combined statistic using the following formula: χ 2 = - 2 ∑ i = 1 k l o g e p i where p i is the P-value for the ith hypothesis test, and k is the number of tests being combined [ 33].
Using the best set of parameters identified with the GMRQ analysis, we obtained multiple transition probability matrices (TPMs) in order to construct the implied time-scales plot (see Methods).
The results from a series of experiments using a multiple cue probability learning forecasting task confirm that wider payments do not lead to increased performance when the task is simple.
Such a conception of landscape does not lead to a traditional thematic map of uniform, non-overlapping regions, but to a landscape model composed of multiple overlapping probability surfaces.
Section 2 introduces the interacting multiple model probability data association algorithm.
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