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

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

From the Student’s t table, at the row marked 9 and column marked .005, is the number of standard deviations to capture 99% of the probability, 3.2498.

From Textbooks • Nov. 29, 2017

And as we did before, we used a Student's t to compensate for this lack of information on the population variance.

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