# Chi-square distribution (chart) Calculator

## Calculates a table of the probability density function, or lower or upper cumulative distribution function of the chi-square distribution, and draws the chart.

select function
 probability density f lower cumulative distribution P upper cumulative distribution Q
degree of freedom ν
 ν＞0
[ initial percentile x
 x≧0
increment
 repetition ]
 $\normal Chi-Squared\ distribution\ X^2(x,\nu)\\[10](1)\qquad probability\ density\\\hspace{30}f(x,\nu)={\large\frac{x^{\frac{\nu}{2}-1}e^{-\frac{\small x}{2}}}{2^{\frac{\nu}{2}}\Gamma(\frac{\nu}{2})}}\\(2)\qquad lower\ cumulative\ distribution\\\hspace{30}P(x,\nu)={\large\int_{\small 0}^{\hspace{25}\small x}}f(t,\nu)dt\\(3)\qquad upper\ cumulative\ distribution\\\hspace{30}Q(x,\nu)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,\nu)dt\\$

Sending completion

To improve this 'Chi-square distribution (chart) Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired people Others
Useful?
Very Useful A little Not at All
Purpose of use?