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  1. A posterior probability is the probability of assigning observations to groups given the data.[1]
  2. If you know or can estimate these probabilities, a discriminant analysis can use these prior probabilities in calculating the posterior probabilities.[1]
  3. …of all joint probabilities, the posterior probability is arrived at.[2]
  4. Posterior probability is the likelihood that the individual, whose genotype is uncertain, either carries the mutant gene or does not.[2]
  5. Posterior probability is a revised probability that takes into account new available information.[3]
  6. Given any report r submitted to the CPS server, MLA guarantees that the posterior probability of each query content in r is larger than 0.[4]
  7. There are many ways to summarize the posterior distribution of tree topologies and branch lengths.[5]
  8. The 50% majority consensus tree is a tree constructed so that it contains all of the clades that occur in at least 50% of the trees in the posterior distribution.[5]
  9. In other words it contains only the clades that have a posterior probability of >= 50%.[5]
  10. It has sometimes been used to describe the tree associated with the sampled state in the MCMC chain that has the highest posterior probability density.[5]
  11. Bayes factors are used as an intermediate step in calculating the posterior probabilities of each hypothesis.[6]
  12. Figure 3 shows a standard Bayesian updating of a prior distribution to a posterior distribution based on the data (likelihood).[6]
  13. We conclude that the posterior probability of H 0 provide a much more conservative quantification of the mode detection than the significance level.[7]
  14. A description of the network structure is given first, followed by an explanation of the posterior probability-updating algorithm.[8]
  15. Individuals were assigned to the group with the largest posterior probability estimate.[8]
  16. Prior to observing x, this distribution is the prior probability p(h); after observing x, it is the posterior probability p(h x).[8]
  17. At the same time, neither effect size, nor confidence interval estimate, nor posterior probability can be used to exclude chance as an explanation of data.[8]
  18. In Scott (2002) and Congdon (2006), a new method is advanced to compute posterior probabilities of models under consideration.[9]
  19. While it is indeed possible to approximate posterior probabilities based solely on MCMC outputs from single models, as demonstrated by Gelfand and Dey (1994) and Bartolucci et al.[9]
  20. Bayes' theorem can be used to estimate the posterior probabilities, that is, the probabilities that an email which is received as spam, really is spam, or is in fact legitimate.[10]
  21. In statistics, the posterior probability expresses how likely a hypothesis is given a particular set of data.[11]
  22. The posterior probability is one of the quantities involved in Bayes' rule.[12]
  23. This can be done by computing the quantiles of the posterior distribution.[13]
  24. Essentially this boils down to summarizing the posterior distribution by a single number.[13]
  25. When \(q\) is a continuous-valued variable, as here, the most common Bayesian point estimate is the mean (or expectation) of the posterior distribution, which is called the “posterior mean”.[13]
  26. In this contribution we show that the algorithm can also be used to estimate the posterior probability, or the confidence of its decision on each test instance.[14]
  27. For most problems encountered in fisheries stock assessment, it is impossible to evaluate the posterior distribution (Equation 1.5) analytically.[15]
  28. Let q denote the parameter vector and p( q ), the posterior probability of the parameter vector q .[15]
  29. q i : i=1,2,...} from the posterior distribution, p( q ), or to determine the relative posterior probabilities for a set of pre-specified vectors of parameters.[15]
  30. The posterior probability for each combination of the two parameters is then calculated using Equation (1.6).[15]
  31. Posterior probability is a conditional probability conditioned on randomly observed data.[16]
  32. In classification, posterior probabilities reflect the uncertainty of assessing an observation to particular class, see also Class membership probabilities.[16]
  33. While statistical classification methods by definition generate posterior probabilities, Machine Learners usually supply membership values which do not induce any probabilistic confidence.[16]
  34. A posterior probability, in Bayesian statistics, is the revised or updated probability of an event occurring after taking into consideration new information.[17]
  35. The posterior probability is calculated by updating the prior probability using Bayes' theorem.[17]
  36. Posterior probability distributions should be a better reflection of the underlying truth of a data generating process than the prior probability since the posterior included more information.[17]
  37. A posterior probability can subsequently become a prior for a new updated posterior probability as new information arises and is incorporated into the analysis.[17]
  38. Posterior probability is the probability an event will happen after all evidence or background information has been taken into account.[18]
  39. The posterior distribution is a way to summarize what we know about uncertain quantities in Bayesian analysis.[18]
  40. In other words, the posterior distribution summarizes what you know after the data has been observed.[18]
  41. P(Θ|data) on the left hand side is known as the posterior distribution.[19]
  42. We don’t care about the normalising constant so we have everything we need to calculate the unnormalised posterior distribution.[19]
  43. Now we have the posterior distribution for the length of a hydrogen bond we can derive statistics from it.[19]
  44. One of the most common statistics calculated from the posterior distribution is the mode.[19]

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