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p-Value Calculator for a Student t-Test
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p-Value Calculator for a Student t-Test
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This calculator will tell you the one-tailed and two-tailed probability values of a t-test, given the t-value and the degrees of freedom.
Please supply the necessary parameter values, and then click 'Calculate'.
Degrees of freedom:
The degrees of freedom for the distribution.
t-value:
A value from the t-distribution.
Formulas
The following formulas are involved in the calculation of p-values for a Student t-Test:
Beta function:
Lower incomplete beta function:
Regularized lower incomplete beta function:
where the numerator is the lower incomplete beta function, and the denominator is the beta function.
t-distribution cumulative distribution function (CDF):
where
v
is the degrees of freedom,
t
is the upper limit of integration, and
I
is the regularized lower incomplete beta function.
References
The following references can be used to cite this p-value calculator for a student t-test:
Soper, D.S. (2014). p-Value Calculator for a Student t-Test [Software]. Available from http://www.danielsoper.com/statcalc
Abramowitz, M. and Stegun, I.A., eds. (1965). Handbook of Mathematical Functions. New York, NY: Dover.
Student [William Sealy Gosset] (1908). The probable error of a mean. Biometrika, 6 (1), pp. 1-25.
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Cumulative Distribution Function (CDF) Calculator for the Noncentral t-Distribution
Cumulative Distribution Function (CDF) Calculator for the t-Distribution
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The
Statistics Calculators Index
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