In statistics, the t-statistic is the ratio of the difference in a number’s estimated value from its assumed value to its standard error. It is used in...

underlying the Student's t-distribution. The Hotelling's t-squared statistic (t2) is a generalization of Student's t-statistic that is used in multivariate...

statistically significant or not. It is any statistical hypothesis test in which the test statistic follows a Student's t-distribution under the null hypothesis...

statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose. Statistical purposes...

testing. A hypothesis test is typically specified in terms of a test statistic, considered as a numerical summary of a data-set that reduces the data...

theory and practice. The t distribution arises as the sampling distribution of the t statistic. Below the one-sample t statistic is discussed, for the corresponding...

multiple samples, are significantly different. The test calculates a statistic, represented by the random variable F, and checks if it follows an F-distribution...

t {\textstyle e_{t}} is the residual given by e t = ρ e t − 1 + ν t , {\displaystyle e_{t}=\rho e_{t-1}+\nu _{t},} the Durbin-Watson test statistic is...

parentheses indicates the ith order statistic of the sample. The first order statistic (or smallest order statistic) is always the minimum of the sample...

are in this article. Other equivalent terms in use include z-value, z-statistic, normal score, standardized variable and pull in high energy physics....

is a property of a statistic computed on a sample dataset in relation to a parametric model of the dataset. A sufficient statistic contains all of the...

“Student’s t distribution” – referring to the adjusted normal distribution Gosset proposed, and “Student’s t-statistic” – referring to the test statistic used...

not be a statistic — the function and its value can depend on the parameters of the model, but its distribution must not. If it is a statistic, then it...

is a property of a statistic computed on a sample dataset in relation to a parametric model of the dataset. An ancillary statistic has the same distribution...

The t-statistic and p-value columns are testing whether any of the coefficients might be equal to zero. The t-statistic is calculated simply as t = β...

above form the basis of calculations involving the t-statistic: T = X ¯ n − μ 0 S n / n , {\displaystyle T={\frac {{\overline {X}}_{n}-\mu _{0}}{S_{n}/{\sqrt...

technique allows estimation of the sampling distribution of almost any statistic using random sampling methods. Bootstrapping estimates the properties...

Youden's J statistic (also called Youden's index) is a single statistic that captures the performance of a dichotomous diagnostic test. In meteorology...

Pr ( T ≥ t ∣ H 0 ) , Pr ( T ≤ t ∣ H 0 ) } {\displaystyle p=2\min\{\Pr(T\geq t\mid H_{0}),\Pr(T\leq t\mid H_{0})\}} for a two-sided test-statistic distribution...

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...

L R = n ln ⁡ [ 1 + t 2 n − 1 ] {\displaystyle \lambda _{LR}=n\ln \left[1+{\frac {t^{2}}{n-1}}\right]} where t is the t-statistic with n − 1 degrees of...

In statistics, an L-statistic is a statistic (function of a data set) that is a linear combination of order statistics; the "L" is for "linear". These...

deviation, both expressed in the same units. It is a form of a Student's t-statistic, with the estimate of error varying between points. This is an important...

Studentized range Studentized residual Student's t-distribution Student's t-statistic Student's t-test Student's t-test for Gaussian scale mixture distributions...

the score statistic is the same as the t statistic.[clarification needed] When the data consists of binary observations, the score statistic is the same...

Welch's t-test defines the statistic t by the following formula: t = Δ X ¯ s Δ X ¯ = X ¯ 1 − X ¯ 2 s X ¯ 1 2 + s X ¯ 2 2 , {\displaystyle t={\frac {\Delta...

A statistical hypothesis test typically involves a calculation of a test statistic. Then a decision is made, either by comparing the test statistic to...

will get a very high R squared, very high individual t-statistic and a low Durbin–Watson statistic. Technically speaking, Phillips (1986) proved that parameter...

a k-statistic is a minimum-variance unbiased estimator of a cumulant. McHugh, Mary L. (2012-10-15). "Interrater reliability: the kappa statistic". Biochemia...

series for T.) Case m = 1 (Non-degenerate kernel): If A(1) is true, the statistic is a sample mean and the Central Limit Theorem implies that T(Fn) is asymptotically...