In statistics, asymptotic theory, or large sample theory, is a framework for assessing properties of estimators and statistical tests. Within this framework...
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calculated. A test statistic shares some of the same qualities of a descriptive statistic, and many statistics can be used as both test statistics and descriptive...
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Lehmann, E. L. (December 1993). "The Fisher, Neyman–Pearson Theories of Testing Hypotheses: One Theory or Two?". Journal of the American Statistical Association...
82 KB (10,231 words) - 02:06, 13 August 2024
hypothesis is true. Test statistics that follow a χ2 distribution occur when the observations are independent. There are also χ2 tests for testing the null hypothesis...
22 KB (2,399 words) - 13:31, 7 August 2024
Classical test theory (CTT) is a body of related psychometric theory that predicts outcomes of psychological testing such as the difficulty of items or...
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The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications...
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component analysis. A typical statistics course covers descriptive statistics, probability, binomial and normal distributions, test of hypotheses and confidence...
78 KB (8,770 words) - 10:56, 28 August 2024
In statistics, the likelihood-ratio test is a hypothesis test that involves comparing the goodness of fit of two competing statistical models, typically...
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that are not easy to quantify by theory alone. The term "mathematical statistics" designates the mathematical theories of probability and statistical inference...
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Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical...
16 KB (1,911 words) - 06:21, 20 June 2024
In statistics, normality tests are used to determine if a data set is well-modeled by a normal distribution and to compute how likely it is for a random...
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is parametric statistics. Nonparametric statistics can be used for descriptive statistics or statistical inference. Nonparametric tests are often used...
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Statistical inference (redirect from Inferential statistics)
by testing hypotheses and deriving estimates. It is assumed that the observed data set is sampled from a larger population. Inferential statistics can...
48 KB (5,519 words) - 09:48, 23 July 2024
F-distribution (redirect from F-ratio (statistics))
In probability theory and statistics, the F-distribution or F-ratio, also known as Snedecor's F distribution or the Fisher–Snedecor distribution (after...
14 KB (2,382 words) - 07:10, 7 September 2024
In statistics, the Cochran–Mantel–Haenszel test (CMH) is a test used in the analysis of stratified or matched categorical data. It allows an investigator...
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U-statistic (redirect from U Statistics)
In statistical theory, a U-statistic is a class of statistics defined as the average over the application of a given function applied to all tuples of...
10 KB (1,551 words) - 03:20, 11 January 2024
Sensitivity and specificity (redirect from Specificity (statistics))
In medicine and statistics, sensitivity and specificity mathematically describe the accuracy of a test that reports the presence or absence of a medical...
27 KB (4,129 words) - 08:03, 27 May 2024
limit theorem, many test statistics are approximately normally distributed for large samples. Therefore, many statistical tests can be conveniently performed...
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Conclusions From Data: Descriptive Statistics, Inferential Statistics, and Hypothesis Testing", Interpreting and Using Statistics in Psychological Research, Thousand...
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In statistics, resampling is the creation of new samples based on one observed sample. Resampling methods are: Permutation tests (also re-randomization...
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measurement. The basic starting point for almost all theories of test reliability is the idea that test scores reflect the influence of two sorts of factors:...
18 KB (2,521 words) - 17:56, 3 February 2024
measurement theories are divided into two major areas: (1) Classical test theory; (2) Item Response Theory. The classical test theory or true score theory or reliability...
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application of statistical hypothesis testing or "two-sample hypothesis testing" as used in the field of statistics. A/B testing is a way to compare multiple versions...
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U} test (also called the Mann–Whitney–Wilcoxon (MWW/MWU), Wilcoxon rank-sum test, or Wilcoxon–Mann–Whitney test) is a nonparametric statistical test of...
44 KB (5,780 words) - 17:43, 20 August 2024
The Wilcoxon signed-rank test is a non-parametric rank test for statistical hypothesis testing used either to test the location of a population based...
39 KB (6,449 words) - 15:50, 19 July 2024
Average variance extracted (category Statistical theory)
In statistics (classical test theory), average variance extracted (AVE) is a measure of the amount of variance that is captured by a construct in relation...
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Kolmogorov–Smirnov test (K–S test or KS test) is a nonparametric test of the equality of continuous (or discontinuous, see Section 2.2), one-dimensional...
32 KB (4,111 words) - 02:57, 9 September 2024
Bechdel test (/ˈbɛkdəl/ BEK-dəl), also known as the Bechdel-Wallace test, is a measure of the representation of women in film and other fiction. The test asks...
66 KB (6,681 words) - 21:30, 26 August 2024
Unbiased estimation of standard deviation (category Summary statistics)
In statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated...
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increases. The term "t-statistic" is abbreviated from "hypothesis test statistic". In statistics, the t-distribution was first derived as a posterior distribution...
50 KB (6,785 words) - 19:18, 25 August 2024