# CHISQ.INVDAX Function (Statistical)

Returns the inverse of the left-tailed probability of the chi-squared distribution. The chi-squared distribution is commonly used to study variation in the percentage of something across samples, such as the fraction of the day people spend watching television.

## Syntax

CHISQ.INV ( <Probability>, <Deg_freedom> )
Parameter Attributes Description
Probability

A probability associated with the chi-squared distribution.

Deg_freedom

The number of degrees of freedom.

## Return values

Scalar A single decimal value.

Returns the inverse of the left-tailed probability of the chi-squared distribution.

## Remarks

If argument is nonnumeric, CHISQ.INV returns the #VALUE! error value.
If probability < 0 or probability > 1, CHISQ.INV returns the #NUM! error value.
If deg_freedom is not an integer, it is rounded.
If deg_freedom < 1 or deg_freedom > 10^10, CHISQ.INV returns the #NUM! error value.

» 3 related functions

## Examples

```--  Given the degrees of freedom, CHISQ.DIST returns the value
--  of the probability density function using the chi-square
--  distribution, or the cumulative distribution depending on the
--  third argument.
--
--      CHISQ.DIST ( [Value], DegFreedom, Cumulative )
--
--  The .INV functions provide the inverse calculation
--  The .RT functions return the right tail of the chi-square, they
--  do not need the Cumulative argument, which is always TRUE
--  CHISQ.DIST.RT = (1 - CHISQ.DIST)
--
--  https://en.wikipedia.org/wiki/Chi-square_distribution
DEFINE
VAR Vals            = GENERATESERIES ( 0, 10, 0.28 )
VAR DegFreedom      = 5
VAR CumulativeTrue  = TRUE   -- Cumulative distribution function
VAR CumulativeFalse = FALSE  -- Probability density function
EVALUATE
Vals,
"ChiSquare Dist",            -- Probability density function
FORMAT (
CHISQ.DIST ( [Value], DegFreedom, CumulativeFalse ),
"#,0.0####"
),
"ChiSquare Dist Cumulative", -- Cumulative distribution function
FORMAT (
CHISQ.DIST ( [Value], DegFreedom, CumulativeTrue ),
"#,0.0####"
),
"ChiSquare Inv Cumulative",
CHISQ.INV (
CHISQ.DIST ( [Value], DegFreedom, CumulativeTrue ),
DegFreedom
),
"ChiSquare Dist RT",
FORMAT (
CHISQ.DIST.RT ( [Value], DegFreedom ),
"#,0.0####"
),
"ChiSquare RT Inv",
CHISQ.INV.RT (
CHISQ.DIST.RT ( [Value], DegFreedom ),
DegFreedom
)
)
```
Value ChiSquare Dist ChiSquare Dist Cumulative ChiSquare Inv Cumulative ChiSquare Dist RT ChiSquare RT Inv
0.00 0.0 0.0 0.00 1.0 0.00
0.28 0.01713 0.002 0.28 0.998 0.28
0.56 0.04212 0.01024 0.56 0.98976 0.56
0.84 0.06727 0.02559 0.84 0.97441 0.84
1.12 0.09003 0.04768 1.12 0.95232 1.12
1.40 0.10939 0.07569 1.40 0.92431 1.40
1.68 0.12501 0.10859 1.68 0.89141 1.68
1.96 0.13695 0.14535 1.96 0.85465 1.96
2.24 0.14546 0.18496 2.24 0.81504 2.24
2.52 0.1509 0.22652 2.52 0.77348 2.52
2.80 0.15364 0.26921 2.80 0.73079 2.80
3.08 0.1541 0.31235 3.08 0.68765 3.08
3.36 0.15265 0.35533 3.36 0.64467 3.36
3.64 0.14963 0.39768 3.64 0.60232 3.64
3.92 0.14538 0.43901 3.92 0.56099 3.92
4.20 0.14017 0.47901 4.20 0.52099 4.20
4.48 0.13424 0.51744 4.48 0.48256 4.48
4.76 0.12781 0.55413 4.76 0.44587 4.76
5.04 0.12106 0.58898 5.04 0.41102 5.04
5.32 0.11414 0.62191 5.32 0.37809 5.32
5.60 0.10716 0.65289 5.60 0.34711 5.60
5.88 0.10024 0.68193 5.88 0.31807 5.88
6.16 0.09344 0.70904 6.16 0.29096 6.16
6.44 0.08683 0.73427 6.44 0.26573 6.44
6.72 0.08047 0.75769 6.72 0.24231 6.72
7.00 0.07437 0.77936 7.00 0.22064 7.00
7.28 0.06857 0.79936 7.28 0.20064 7.28
7.56 0.06309 0.81779 7.56 0.18221 7.56
7.84 0.05792 0.83472 7.84 0.16528 7.84
8.12 0.05307 0.85025 8.12 0.14975 8.12
8.40 0.04855 0.86447 8.40 0.13553 8.40
8.68 0.04433 0.87747 8.68 0.12253 8.68
8.96 0.04042 0.88933 8.96 0.11067 8.96
9.24 0.0368 0.90013 9.24 0.09987 9.24
9.52 0.03346 0.90996 9.52 0.09004 9.52
9.80 0.03038 0.9189 9.80 0.0811 9.80

## Related functions

Other related functions are:

Last update: Aug 3, 2024     » Show contributors

Contributors: Alberto Ferrari, Marco Russo

Microsoft documentation: https://docs.microsoft.com/en-us/dax/chisq-inv-function-dax

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# Context Transition

This function performs a Context Transition if called in a Row Context. Click to read more.

# Row Context

This expression is executed in a Row Context. Click to read more.

# Not recommended

The use of this function is not recommended. See Remarks and Related functions for alternatives.

# Not recommended

The use of this parameter is not recommended.

# Deprecated

This function is deprecated. Jump to the Alternatives section to see the function to use.

# Volatile

A volatile function may return a different result every time you call it, even if you provide the same arguments. Click to read more.

# Deprecated

This parameter is deprecated and its use is not recommended.

# DirectQuery compatibility

Limitations are placed on DAX expressions allowed in measures and calculated columns.
The state below shows the DirectQuery compatibility of the DAX function.

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