Definitions for student's t-distribution
stu·dent's t-dis·tri·bu·tion

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1. Student's 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.

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1. Student's t-distribution

   In probability and statistics, Student's t-distribution is a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown. It plays a role in a number of widely used statistical analyses, including the 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. The Student's t-distribution also arises in the Bayesian analysis of data from a normal family. If we take k samples from a normal distribution with fixed unknown mean and variance, and if we compute the sample mean and sample variance for these k samples, then the t-distribution can be defined as the distribution of the location of the true mean, relative to the sample mean and divided by the sample standard deviation, after multiplying by the normalizing term, where n is the sample size. In this way the t-distribution can be used to estimate how likely it is that the true mean lies in any given range.

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How to say student's t-distribution in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of student's t-distribution in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of student's t-distribution in Pythagorean Numerology is: 5

References

1. ^ Wikipedia
   https://en.wikipedia.org/wiki/Student'S_T-Distribution
2. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=student's t-distribution