The sequential probability ratio test (SPRT) is a specific sequential hypothesis test, developed by Abraham Wald and later proven to be optimal by Wald...
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likelihood ratio test described R Package: Wald's Sequential Probability Ratio Test Richard Lowry's Predictive Values and Likelihood Ratios Online Clinical...
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List of statistics articles (redirect from Probability Applications)
Sequential Monte Carlo methods – redirects to Particle filter Sequential probability ratio test Serial dependence Seriation (archaeology) SETAR (model) –...
87 KB (8,280 words) - 23:04, 12 March 2025
Armitage. Optimal stopping Sequential estimation Sequential probability ratio test CUSUM Wald, Abraham (June 1945). "Sequential Tests of Statistical Hypotheses"...
13 KB (1,504 words) - 00:10, 20 June 2025
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...
17 KB (2,232 words) - 02:25, 26 May 2025
of the two is the sequential probability ratio test (SPRT). This formulates the examinee classification problem as a hypothesis test that the examinee's...
31 KB (3,676 words) - 03:02, 2 June 2025
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...
19 KB (2,320 words) - 00:41, 24 March 2025
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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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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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) - 10:22, 24 June 2025
Analysis of variance (redirect from Anova test)
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 (7,645 words) - 06:39, 28 May 2025
of the Kalman filter for space applications for example. Sequential Probability Ratio Test Testimator Thomas S. Ferguson (1967) Mathematical statistics:...
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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...
43 KB (5,420 words) - 16:58, 25 June 2025
Kinsman, Robin; Treasure, Tom (1 February 2003). "Risk-adjusted sequential probability ratio tests: applications to Bristol, Shipman and adult cardiac surgery"...
47 KB (4,757 words) - 21:39, 18 June 2025
"Sequential Tests of Statistical Hypotheses", The Annals of Mathematical Statistics, 16 (2): 117–186, doi:10.1214/aoms/1177731118 — (1947). Sequential...
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In vitro fertilisation (redirect from Sequential medium)
male sex ratio; however, adding retinoic acid to the culture can bring this ratio back to normal. A second theory is that the male-biased sex ratio may due...
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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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626. Monographs on Statistics & Applied Probability Del Moral, P.; Doucet, A.; Jasra, A. (2006). "Sequential Monte Carlo samplers". Journal of the Royal...
91 KB (10,690 words) - 23:18, 29 April 2025
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...
55 KB (6,800 words) - 10:47, 2 June 2025
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 (2,922 words) - 11:55, 25 May 2025
Particle filter (redirect from Sequential Monte Carlo method)
Particle filters, also known as sequential Monte Carlo methods, are a set of Monte Carlo algorithms used to find approximate solutions for filtering problems...
95 KB (16,934 words) - 15:13, 4 June 2025
design Crossover study Randomized controlled trial Sequential analysis Sequential probability ratio test Glossary Category Mathematics portal Statistical...
4 KB (512 words) - 00:18, 28 February 2024
Analysis of covariance (section Test multicollinearity)
categorical variables. ANCOVA can be used to increase statistical power (the probability a significant difference is found between groups when one exists) by...
12 KB (1,726 words) - 07:19, 10 June 2025
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 (4,307 words) - 08:07, 12 March 2025
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 (2,376 words) - 04:49, 15 January 2025
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) - 20:34, 2 March 2025
Markov chain (redirect from Transition probability)
In probability theory and statistics, a Markov chain or Markov process is a stochastic process describing a sequence of possible events in which the probability...
96 KB (12,900 words) - 11:52, 1 June 2025
version of the program, using sequential probability ratio testing. Tests on the framework are verified using the chi-squared test, and only if the results...
99 KB (6,288 words) - 11:53, 23 June 2025
Benford's law (category Theory of probability distributions)
and tests indicate natural sciences exhibit greater conformity than social sciences. A 2025 PLOS ONE journal article argues Benford probability distribution...
65 KB (7,473 words) - 03:52, 19 May 2025
patient test results. This approach utilizes the logistic (or sigmoid) function to transform a linear combination of input features into a probability value...
127 KB (20,641 words) - 09:18, 24 June 2025