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Probability Density Function (PDF) Calculator for the t-Distribution
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Probability Density Function (PDF) Calculator for the t-Distribution
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This calculator will compute the probability density function (PDF) for Student's t-distribution, given a 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 probability density function (PDF) values for Student's t-distribution:
Gamma function:
t-distribution probability density function (PDF):
where
v
is the degrees of freedom and
Γ
is the gamma function.
References
The following references can be used to cite this probability density function (pdf) calculator for the t-distribution:
Soper, D.S. (2013). Probability Density Function (PDF) Calculator for the t-Distribution [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 probability density function (pdf) calculator for the t-distribution, and may be useful for your research:
Probability Density Function (PDF) Calculators
Probability Density Function (PDF) Calculator for the Beta Distribution
Probability Density Function (PDF) Calculator for the Chi-Square Distribution
Probability Density Function (PDF) Calculator for the F-Distribution
Probability Density Function (PDF) Calculator for the Noncentral t-Distribution
Probability Density Function (PDF) Calculator for the Normal Distribution
Probability Density Function (PDF) Calculator for the Standard Normal Distribution
Probability Density Function (PDF) Calculator for the Uniform Distribution
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
Student t-Value Calculator
t-Statistic and Degrees of Freedom Calculator
t-Value Calculator for Correlation Coefficients
The
Statistics Calculators Index
now contains 102 free statistics calculators!
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