What does students t distribution mean?
Definitions for students t distribution
stu·dents t dis·tri·bu·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word students t distribution.
Wiktionary
Students t distributionnoun
A distribution that arises when the population standard deviation is unknown and has to be estimated from the data.
Etymology: From the pen-name of William Sealy Gosset, Irish statistician
Wikipedia
students t distribution
In probability and statistics, Student's t-distribution (or simply the t-distribution) is any member of a family of continuous probability distributions that arise when estimating the mean of a normally distributed population in situations where the sample size is small and the population's standard deviation is unknown. It was developed by English statistician William Sealy Gosset under the pseudonym "Student". The t-distribution plays a role in a number of widely used statistical analyses, including Student's t-test for assessing the statistical significance of the difference between two sample means, the construction of confidence intervals for the difference between two population means, and in linear regression analysis. Student's t-distribution also arises in the Bayesian analysis of data from a normal family. If we take a sample of n {\displaystyle n} observations from a normal distribution, then the t-distribution with ν = n − 1 {\displaystyle \nu =n-1} degrees of freedom can be defined as the distribution of the location of the sample mean relative to the true mean, divided by the sample standard deviation, after multiplying by the standardizing term n {\displaystyle {\sqrt {n}}} . In this way, the t-distribution can be used to construct a confidence interval for the true mean. The t-distribution is symmetric and bell-shaped, like the normal distribution. However, the t-distribution has heavier tails, meaning that it is more prone to producing values that fall far from its mean. This makes it useful for understanding the statistical behavior of certain types of ratios of random quantities, in which variation in the denominator is amplified and may produce outlying values when the denominator of the ratio falls close to zero. The Student's t-distribution is a special case of the generalized hyperbolic distribution.
Numerology
Chaldean Numerology
The numerical value of students t distribution in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of students t distribution in Pythagorean Numerology is: 5
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"students t distribution." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/students+t+distribution>.
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