• posterior
  • This note shows that when the Bayes formula and certain game theory concepts are appropriately applied, the posterior probability of winning a prize in the famous Monty Hall game is not the counter-intuitive answer of 2/3 but it is 1/2. (statjournals.net)
  • decades
  • Fisher's 1924 article On a distribution yielding the error functions of several well known statistics presented Pearson's chi-squared test and William Gosset's Student's t-distribution in the same framework as the Gaussian distribution and is where he developed Fisher's z-distribution a new statistical method, commonly used decades later as the F distribution. (wikipedia.org)
  • method
  • The Naïve Bayes Classifier is a method for this classification. (peerj.com)
  • To address this issue, we have updated the Naïve Bayes Classifier method using multiple sets of occurrence profiles for each reference genome by normalizing the genome sizes, dividing each genome sequence into a set of subsequences of similar length and generating profiles for each subsequence. (peerj.com)
  • This multiple profile strategy improves the accuracy of the results generated by the Naïve Bayes Classifier method for simulated and Sargasso Sea datasets. (peerj.com)
  • I have written a little about Bayes Theorem, mainly on Science-Based Medicine, which is a statistical method for analyzing data. (theness.com)
  • The burden of proof rests on the demonstrable application of the statistical method, the disclosure of the assumptions, and the relevance that the test has with respect to a genuine understanding of the data relative to the external world. (wikipedia.org)
  • Using the scientific method of falsification, the probability value that the sample statistic is sufficiently different from the null-model than can be explained by chance alone is given prior to the test. (wikipedia.org)
  • Samples
  • The use of any parametric model is viewed skeptically by most experts in sampling human populations: "most sampling statisticians, when they deal with confidence intervals at all, limit themselves to statements about [estimators] based on very large samples, where the central limit theorem ensures that these [estimators] will have distributions that are nearly normal. (wikipedia.org)
  • When a statistical test is applied to samples of a population, the test determines if the sample statistics are significantly different from the assumed null-model. (wikipedia.org)
  • data
  • Statistical experiment design and analytics are at the heart of data science. (coursera.org)
  • You will also explore the common pitfalls in interpreting statistical arguments, especially those associated with big data. (coursera.org)
  • Depending on the inferential challenge at hand, investigators may supplement their reports with effect size estimates, Bayes factors, or other suitable statistics, to communicate what they think the data say. (frontiersin.org)
  • A statistical model is a set of assumptions concerning the generation of the observed data and similar data. (wikipedia.org)
  • In addition to the new algebraic vocabulary, its statistical approach is novel in its aim to: Identify the hidden variables of a data set using real world data rather than artificial stimuli, which was previously commonplace. (wikipedia.org)
  • The Jeffreys-Lindley paradox shows how different interpretations, applied to the same data set, can lead to different conclusions about the 'statistical significance' of a result. (wikipedia.org)
  • models
  • Statistical machine translation (SMT) is a machine translation paradigm where translations are generated on the basis of statistical models whose parameters are derived from the analysis of bilingual text corpora. (wikipedia.org)
  • The statistical translation models were initially word based (Models 1-5 from IBM Hidden Markov model from Stephan Vogel and Model 6 from Franz-Joseph Och), but significant advances were made with the introduction of phrase based models. (wikipedia.org)
  • death
  • The prosecution, led by Robin Spencer QC, was controversial due to the involvement of the paediatrician Professor Sir Roy Meadow, former Professor of Paediatrics at the University of Leeds, who testified based on Bayes analysis at Clark's trial that the chance of two children from an affluent family suffering cot death was 1 in 73 million. (wikipedia.org)
  • case
  • As in the case of equilibrium refinements in game theory, application of the Bayes formula requires both working backward and forward through the game tree. (statjournals.net)
  • c. 1701 - 7 April 1761) was an English statistician, philosopher and Presbyterian minister who is known for having formulated a specific case of the theorem that bears his name: Bayes' theorem. (wikipedia.org)
  • This essay contains a statement of a special case of Bayes' theorem. (wikipedia.org)
  • little
  • This book, a revised new edition of the successful Essentials of Biostatistics has been written to provide such an understanding to those who have little or no statistical background and who need to keep abreast of new findings in this fast moving field. (scribd.com)
  • science
  • Professor Stephen Stigler, historian of statistical science, thinks that Bayes became interested in the subject while reviewing a work written in 1755 by Thomas Simpson, but George Alfred Barnard thinks he learned mathematics and probability from a book by Abraham de Moivre. (wikipedia.org)
  • The use of the Bayes theorem has been extended in science and in other fields. (wikipedia.org)