• The sequential probability ratio test (SPRT) is a specific sequential hypothesis test, developed by Abraham Wald and later proven to be optimal by Wald...
    12 KB (1,835 words) - 00:55, 2 October 2024
  • Sequential Monte Carlo methods – redirects to Particle filter Sequential probability ratio test Serial dependence Seriation (archaeology) SETAR (model) –...
    87 KB (8,285 words) - 04:29, 7 October 2024
  • likelihood ratio test described R Package: Wald's Sequential Probability Ratio Test Richard Lowry's Predictive Values and Likelihood Ratios Online Clinical...
    17 KB (2,098 words) - 09:11, 20 July 2024
  • Armitage. Optimal stopping Sequential estimation Sequential probability ratio test CUSUM Wald, Abraham (June 1945). "Sequential Tests of Statistical Hypotheses"...
    13 KB (1,494 words) - 01:40, 12 July 2024
  • If the sequential probability ratio test is used as the termination criterion, it implicitly assumes a starting ratio of 1.0 (equal probability of the...
    16 KB (2,329 words) - 15:00, 22 October 2023
  • Cochran–Mantel–Haenzel test is a score test. Chow test Sequential probability ratio test Sup-Wald test Student's t-test Welch's t-test Fahrmeir, Ludwig; Kneib...
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  • CUSUM (category Sequential methods)
    Biometrika, in 1954, a few years after the publication of Wald's sequential probability ratio test (SPRT). E. S. Page referred to a "quality number" θ {\displaystyle...
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  • categorical variables. ANCOVA can be used to increase statistical power (the probability a significant difference is found between groups when one exists) by...
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  • Likelihood-ratio test Wald test Score test Sequential probability ratio test Uniformly most powerful test Exact test Confidence interval Prediction interval...
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  • Thumbnail for Abraham Wald
    "Sequential Tests of Statistical Hypotheses", The Annals of Mathematical Statistics, 16 (2): 117–186, doi:10.1214/aoms/1177731118 — (1947). Sequential...
    14 KB (1,148 words) - 23:30, 7 November 2024
  • classification testing with the sequential probability ratio test. (Research Report 2000-8). Iowa City, IA: ACT, Inc. Wald, A. (1947). Sequential analysis....
    29 KB (3,626 words) - 17:08, 11 December 2024
  • Using the F-distribution is a natural candidate because the test statistic is the ratio of two scaled sums of squares each of which follows a scaled...
    56 KB (7,627 words) - 12:37, 20 December 2024
  • Thumbnail for Confounding
    Bayesian network) and checking whether the resulting probability of Y equals the conditional probability P ( y ∣ x ) {\displaystyle P(y\mid x)} . It turns...
    33 KB (4,295 words) - 05:54, 15 December 2024
  • Thumbnail for Optimal experimental design
    optimality" is advocated in Fedorov and Hackl. Wald, Abraham (June 1945). "Sequential Tests of Statistical Hypotheses". The Annals of Mathematical Statistics....
    44 KB (4,412 words) - 03:51, 14 December 2024
  • Thumbnail for Design of experiments
    experimenting, is within the scope of sequential analysis, a field that was pioneered by Abraham Wald in the context of sequential tests of statistical hypotheses...
    42 KB (5,174 words) - 18:21, 26 October 2024
  • Thumbnail for Benford's law
    Benford's law (category Theory of probability distributions)
    usual Euclidean distance) between the probability mass functions is sufficiently small. This method of testing with application to Benford's law is described...
    65 KB (7,408 words) - 15:41, 17 December 2024
  • allow extending the test to examine more than two factors. The test strength of the Scheirer–Ray–Hare test, i.e. the probability of actually finding a...
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  • variability that is not of primary interest to the experimenter. When studying probability theory the blocks method consists of splitting a sample into blocks (groups)...
    24 KB (2,842 words) - 18:07, 9 December 2024
  • Thumbnail for Positive and negative predictive values
    Positive and negative predictive values (category Statistical ratios)
    groups, while a post-test probability refers to a probability for an individual. Still, if the individual's pre-test probability of the target condition...
    14 KB (2,375 words) - 14:55, 10 December 2024
  • of the Kalman filter for space applications for example. Sequential Probability Ratio Test Testimator Thomas S. Ferguson (1967) Mathematical statistics:...
    4 KB (631 words) - 16:41, 18 November 2023
  • Cochran's theorem (category Characterization of probability distributions)
    William G. Cochran, is a theorem used to justify results relating to the probability distributions of statistics that are used in the analysis of variance...
    15 KB (3,015 words) - 15:08, 30 November 2024
  • statistics. Included earlier results of Wald on sequential analysis and the sequential probability ratio test and on Wald's complete class theorem characterizing...
    27 KB (2,818 words) - 15:06, 7 September 2024
  • Particle filters, or sequential Monte Carlo methods, are a set of Monte Carlo algorithms used to find approximate solutions for filtering problems for...
    95 KB (16,933 words) - 07:25, 11 November 2024
  • Bayesian experimental design provides a general probability-theoretical framework from which other theories on experimental design can be derived. It...
    12 KB (1,437 words) - 14:52, 19 August 2024
  • performance, and then performs hypothesis testing on the residual signals (sequential probability ratio test). Similar types of analysis methods are also...
    30 KB (3,833 words) - 15:00, 23 September 2024
  • 27 September 2008. Spiegelhalter, D. et al. Risk-adjusted sequential probability ratio tests: application to Bristol, Shipman and adult cardiac surgery...
    46 KB (4,555 words) - 11:22, 22 December 2024
  • P-value (category Statistical hypothesis testing)
    In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed...
    58 KB (6,996 words) - 14:43, 31 October 2024
  • the probability distribution of the test statistic, and in this situation the use of Fisher's exact test becomes more appropriate. Permutation tests exist...
    22 KB (2,840 words) - 08:38, 4 November 2024
  • Thumbnail for Response surface methodology
    Response surface methodology (category Sequential experiments)
    Almost Anything: Ideas and Essays, Revised Edition (Wiley Series in Probability and Statistics) George E. P. Box Box, G.E.P.; Wilson, K.B. (1951). "On...
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  • of the test, i.e., on what probability of Type I error is considered tolerable The Neyman-Pearson lemma states that this likelihood ratio test is the...
    44 KB (6,180 words) - 08:34, 5 February 2024