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Critical F-value Calculator
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Critical F-value Calculator
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This calculator will tell you the critical value of the F-distribution, given the probability level, the numerator degrees of freedom, and the denominator degrees of freedom.
Please supply the necessary parameter values, and then click 'Calculate'.
Degrees of freedom 1:
The first degrees of freedom value. This value is associated with the numerator.
Degrees of freedom 2:
The second degrees of freedom value. This value is associated with the denominator.
Probability level:
Also known as the p-value, alpha level, or type I error rate. By convention, this value should be less than or equal to 0.05 to claim statistical significance.
Formulas
The following formulas are involved in the calculation of critical values for the F-distribution:
Beta function:
F-distribution cumulative distribution function (CDF):
where
d
_{1}
and
d
_{2}
are the degrees of freedom, and
I
is the regularized lower incomplete 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.
References
The following references can be used to cite this critical f-value calculator:
Soper, D.S. (2015). Critical F-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.
David, F.N. (1949). The Moments of the z and F Distributions. Biometrika, vol. 36, pp. 394-403.
Related Calculators
The following statistics calculators are related to this critical f-value calculator, and may be useful for your research:
F-Distribution Calculators
Cumulative Distribution Function (CDF) Calculator for the F-Distribution
Cumulative Distribution Function (CDF) Calculator for the Noncentral F-Distribution
Expected Value Calculator for an F-Distribution Random Variable
F-Value and p-Value Calculator for Multiple Regression
F-Value Calculator for Hierarchical Multiple Regression
p-Value Calculator for an F-Test
Probability Density Function (PDF) Calculator for the F-Distribution
Variance Calculator for an F-Distribution Random Variable
Regression Calculators
A-priori Sample Size Calculator for Multiple Regression
Adjusted R-square Calculator (Population R-square)
Beta (Type II Error Rate) Calculator for Multiple Regression
Confidence Interval Calculator for a Predicted Value of a Regression Equation
Effect Size Calculator for Multiple Regression
f-square Effect Size Confidence Interval Calculator
F-Value and p-Value Calculator for Multiple Regression
Post-hoc Statistical Power Calculator for Multiple Regression
R-square Calculator (from an f-square Effect Size)
R-square Confidence Interval Calculator
Regression Coefficient Confidence Interval Calculator
Regression Intercept Confidence Interval Calculator
Significance of the Difference between Two Slopes Calculator
The
Statistics Calculators Index
now contains 104 free statistics calculators!
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