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Student t-Value Calculator
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Student t-Value Calculator
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This calculator will tell you the Student t-value for a given probability and degrees of freedom. Student t-values for both one-tailed (right-tail) and two-tailed probabilities will be returned.
Please supply the necessary parameter values, and then click 'Calculate'.
Degrees of freedom:
The degrees of freedom for the distribution.
Probability level:
For the one-tailed result, this is the right-tail probability. For the two-tailed result, this is the sum of the probabilities in both tails.
Formulas
The following formulas are involved in the calculation of Student t-values:
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 student t-value calculator:
Soper, D.S. (2016). Student t-Value Calculator [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.
Related Calculators
The following statistics calculators are related to this student t-value calculator, and may be useful for your research:
t-Distribution Calculators
A-priori Sample Size Calculator for Student t-Tests
Beta (Type II Error Rate) Calculator for a Student t-Test
Confidence Interval Calculator for the Population Mean
Cumulative Distribution Function (CDF) Calculator for the Noncentral t-Distribution
Cumulative Distribution Function (CDF) Calculator for the t-Distribution
Effect Size (Cohen's d) Calculator for a Student t-Test
One-Sample t-Test Calculator
p-Value Calculator for a Student t-Test
Post-hoc Statistical Power Calculator for a Student t-Test
Probability Density Function (PDF) Calculator for the Noncentral t-Distribution
Probability Density Function (PDF) Calculator for the t-Distribution
t-Statistic and Degrees of Freedom Calculator
t-Value Calculator for Correlation Coefficients
The
Statistics Calculators Index
now contains 104 free statistics calculators!
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