NTCHISQDIST

Returns the chi square distribution for the specified parameters.

Syntax

NTCHISQDIST(
    x,
    N,
    Cumulative
)

Parameters

• x is the value for which you want the distribution ($x\geq 0$).
• N is a parameter of the distribution $N$ (Positive integer).
• Cumulative is a logical value that determines the form of the function. If cumulative is TRUE, NTCHISQDIST returns the cumulative distribution function; if FALSE, it returns the probability density function.

Remarks

• Probability density function is given as:

$$f(x)=\frac{1}{2^{\frac{N}{2}}\Gamma\left(\frac{N}{2}\right)}\exp\left(-\frac{x}{2}\right)x^{\frac{N}{2}-1}$$

, where $\Gamma(\cdot)$ is gamma function.

• Cumulative distribution function is given as:

$$F(x)=\frac{\Gamma_{\frac{x}{2}}\left(\frac{N}{2}\right)}{\Gamma\left(\frac{N}{2}\right)}$$

, where $\Gamma_{x}(\cdot)$ is incomplete gamma function.

Example

• The example may be easier to understand if you copy it to a blank worksheet\

How to copy an example

1. Create a blank workbook or worksheet.

2. Select the example in the Help topic.

   Note  Do not select the row or column headers.

   

   Selecting an example from Help

3. Press CTRL+C.

4. In the worksheet, select cell A1, and press CTRL+V.

5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.

	A	B
1	Data	Description
2	2	Value for which you want the distribution
3	9	Value of parameter N
4	Formula	Description (Result)
5	=NTCHISQDIST(A2,A3,TRUE)	Cumulative distribution function for the terms above
6	=NTCHISQDIST(A2,A3,FALSE)	Probability density function for the terms above

• Download sample excel sheet

See also

• NTRANDCHISQ
• NTCHISQKURT
• NTCHISQMEAN
• NTCHISQMOM
• NTCHISQSKEW
• NTCHISQSTDEV
• Chi square distribution