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

See Examples For:

Student's t

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

In reality there are an infinite number of Student's t distributions, one for each adjustment to the sample size.

From Textbooks ● Nov. 29, 2017

To look up a probability in the Student's t table we have to know the degrees of freedom in the problem.

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

This relationship between the Student's t distribution and the normal distribution is shown in Figure 8.8.

From Textbooks ● Nov. 29, 2017