Sufficient Statistic Other types of sufficiency
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- algorithmic sufficient statistic. The concept is due to Sir Ronald Fisher in 1920. Stephen Stigler noted in 1973 that the concept of sufficiency had fallen...
indicates the ith order statistic of the sample. The first order statistic (or smallest order statistic) is always the minimum of the sample, that is, X...
A statistical hypothesis test is a method of statistical inference used to decide whether the data sufficiently support a particular hypothesis. A statistical...
Statistics (redirect from Statistical)major types of causal statistical studies: experimental studies and observational studies. In both types of studies, the effect of differences of an independent...- Exponential family (category Types of probability distributions)class of distributions is distinct because they all possess a variety of desirable properties, most importantly the existence of a sufficient statistic. The...
- Pearson's chi-squared test (redirect from Chi-square statistic)is sufficiently large, the above binomial distribution may be approximated by a Gaussian (normal) distribution and thus the Pearson test statistic approximates...
- Alternative hypothesis (category Statistical hypothesis testing)hypothesis are types of conjectures used in statistical tests, which are formal methods of reaching conclusions or making judgments on the basis of data. In...
- Frequentist inference (redirect from Frequentist statistical inference)data); Reduce to a sufficient statistic S {\displaystyle S} of the same dimension as θ {\displaystyle \theta } ; Find the function of S {\displaystyle S}...
- foundation of statistical inference. A statistical model is usually specified as a mathematical relationship between one or more random variables and other non-random...
- hypothesis For a type II error probability of β, the corresponding statistical power is 1 − β. For example, if experiment E has a statistical power of 0.7, and...
- sufficiency. NCA seeks to use statistical methods to test for such conditions. Traditional statistical methods often emphasize the identification of factors...
- Mann–Whitney U test (category Statistical tests), and both samples independent of each other. The corresponding Mann–Whitney U statistic is defined as the smaller of: U 1 = n 1 n 2 + n 2 ( n 2 + 1 )...
- some are not symmetric. Some types of distance measures, which generalize squared distance, are referred to as (statistical) divergences. Many terms are...
- any boundedly complete minimal sufficient statistic is independent of any ancillary statistic. This is a 1955 result of Debabrata Basu. It is often used...
- Logrank test (redirect from Logrank statistic)test by Richard and Julian Peto. The logrank test statistic compares estimates of the hazard functions of the two groups at each observed event time. It...
Control chart (category Statistical charts and diagrams)the data) The mean of this statistic using all the samples is calculated (e.g., the mean of the means, mean of the ranges, mean of the proportions) -...- Bootstrapping (statistics) (category CS1 maint: others)estimation of the sampling distribution of almost any statistic using random sampling methods. Bootstrapping estimates the properties of an estimand...
- Fallacy of the undistributed middle – the middle term in a categorical syllogism is not distributed. Modal fallacy – confusing necessity with sufficiency. A...
Correlation (redirect from Statistical correlation)coefficient (taken together with the sample mean and variance) is only a sufficient statistic if the data is drawn from a multivariate normal distribution. As...
Receiver operating characteristic (redirect from C-statistic)setting. The ROC can also be thought of as a plot of the statistical power as a function of the Type I Error of the decision rule (when the performance...
- number of cases in which sufficiency of evidence was at issue. Contrary to general belief, however, employees fared well in this type of case. Of the 42
- movements can be explained; not, however, as if this proof were sufficient, forasmuch as some other theory might explain them. Thomas Aquinas, Summa Theologica
- concepts of sufficiency and completeness. Intuitively, a sufficient statistic T(X1,…,Xn){\displaystyle T(X_{1},\dotsc ,X_{n})}, which is a function of a given