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Critical Chi-Square Value Calculator
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Critical Chi-Square Value Calculator
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This calculator will tell you the critical Chi-square (Χ
^{2}
) value associated with a given (right-tail) probability level 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.
Probability level:
This is the right-tail probability; i.e., the area under the Chi-square distribution from the Chi-square value to positive infinity.
Formulas
The following formulas are involved in the calculation of critical chi-square values:
Chi-square distribution cumulative distribution function:
where
γ(s, x)
is the lower incomplete gamma function, and
Γ(z)
is the gamma function.
Gamma function:
Lower incomplete gamma function:
where
x
is the upper limit of integration and
s
is the value of the shape parameter.
References
The following references can be used to cite this critical chi-square value calculator:
Soper, D.S. (2016). Critical Chi-Square 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.
Johnson, N. and Kotz. S. (1970). Distributions in Statistics: Continuous Univariate Distributions. Hoboken, NJ: John Wiley & Sons.
Related Calculators
The following statistics calculators are related to this critical chi-square value calculator, and may be useful for your research:
Chi-Square Distribution Calculators
Cumulative Distribution Function (CDF) Calculator for the Chi-Square Distribution
p-Value Calculator for a Chi-Square Test
Probability Density Function (PDF) Calculator for the Chi-Square Distribution
The
Statistics Calculators Index
now contains 104 free statistics calculators!
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