Student's t

British  

noun

1. a statistic often used to test the hypothesis that a random sample of normally distributed observations has a given mean, μ; given by t = ( ̄x– μ) √n/s where ̄x is the mean of the sample, s is its standard deviation, and n is the size of the sample

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Etymology

Origin of Student's t

after Student, the pen name of W. S. Gosset (1876–1937), English statistician and research scientist

Example Sentences

The Student's t distribution has one of the most desirable properties of the normal: it is symmetrical.

From Textbooks • Nov. 29, 2017

In this case this is the Student’s t because we do not know the population standard deviation and the sample is small, less than 30.

From Textbooks • Nov. 29, 2017

He therefore created the Student's t distribution as a ratio of the normal distribution and Chi squared distribution.

From Textbooks • Nov. 29, 2017

This is another example of one distribution limiting another one, in this case the normal distribution is the limiting distribution of the Student's t when the degrees of freedom in the Student's t approaches infinity.

From Textbooks • Nov. 29, 2017

To determine the critical value of the Student's t we need the degrees of freedom.

From Textbooks • Nov. 29, 2017