BETA.INV DAX Function (Statistical)

Returns the inverse of the beta cumulative probability density function (BETA.DIST). If probability = BETA.DIST(x,…TRUE), then BETA.INV(probability,…) = x. The beta distribution can be used in project planning to model probable completion times given an expected completion time and variability.

Syntax

BETA.INV ( <Probability>, <Alpha>, <Beta> [, <A>] [, <B>] )
Parameter Attributes Description
Probability

A probability associated with the beta distribution.

Alpha

A parameter of the distribution.

Beta

A parameter the distribution.

A Optional

A lower bound to the interval of x.

B Optional

An upper bound to the interval of x.

Return values

Scalar A single decimal value.

Returns the inverse of the beta cumulative probability density function (BETA.DIST).

Remarks

If any argument is nonnumeric, BETA.INV returns the #VALUE! error value.

If any argument is not an integer, it is rounded.

If alpha ≤ 0 or beta ≤ 0, BETA.INV returns the #NUM! error value.

If probability ≤ 0 or probability > 1, BETA.INV returns the #NUM! error value.

If you omit values for A and B, BETA.INV uses the standard cumulative beta distribution, so that A = 0 and B = 1.

» 1 related function

Examples

--
--  Given the parameters of Alpha and Beta to define the shape of
--  the distribution, BETA.DIST returns the value of the probability
--  density function or the cumulative distribution function, depending
--  on the fourth argument.
--
--      BETA.DIST ( [Value], Alpha, Beta, Cumulative, LowerBound, UpperBound )
--
--  BETA.INV returns the inverse of BETA.DIST
--
--  https://en.wikipedia.org/wiki/Beta_distribution
--
DEFINE
    VAR Vals            = GENERATESERIES ( 0.01, 1, 0.02 )
    VAR Alpha           = 3.51
    VAR Beta            = 4.02
    VAR CumulativeTrue  = TRUE   -- Cumulative distribution function
    VAR CumulativeFalse = FALSE  -- Probability density function
    VAR LowerBound      = 0
    VAR UpperBound      = 1
EVALUATE
ADDCOLUMNS ( 
    Vals, 
    "Beta Dist",             -- Probability density function
        FORMAT ( 
            BETA.DIST ( [Value], Alpha, Beta, CumulativeFalse, LowerBound, UpperBound ),
            "#,0.0####"
        ),
    "Beta Dist Cumulative",  -- Cumulative distribution function
        FORMAT ( 
            BETA.DIST ( [Value], Alpha, Beta, CumulativeTrue, LowerBound, UpperBound ),
            "#,0.0####"
        ),
    "Beta Inv Cumulative",
        BETA.INV (  
            BETA.DIST ( [Value], Alpha, Beta, CumulativeTrue, LowerBound, UpperBound ),
            Alpha,
            Beta,
            LowerBound,
            UpperBound 
        )           
    )
Value Beta Dist Beta Dist Cumulative Beta Inv Cumulative
0.01 0.00089 0.0 0.01
0.03 0.01317 0.00011 0.03
0.05 0.04459 0.00066 0.05
0.07 0.09729 0.00204 0.07
0.09 0.17121 0.00469 0.09
0.11 0.26492 0.00902 0.11
0.13 0.37619 0.01541 0.13
0.15 0.50222 0.02417 0.15
0.17 0.63989 0.03557 0.17
0.19 0.78589 0.04982 0.19
0.21 0.93685 0.06704 0.21
0.23 1.08944 0.0873 0.23
0.25 1.24045 0.11061 0.25
0.27 1.38683 0.13689 0.27
0.29 1.52575 0.16603 0.29
0.31 1.65465 0.19785 0.31
0.33 1.77125 0.23213 0.33
0.35 1.87358 0.26861 0.35
0.37 1.96001 0.30697 0.37
0.39 2.02923 0.34689 0.39
0.41 2.08029 0.38802 0.41
0.43 2.11257 0.42998 0.43
0.45 2.1258 0.4724 0.45
0.47 2.12003 0.51489 0.47
0.49 2.09565 0.55707 0.49
0.51 2.05332 0.59859 0.51
0.53 1.99403 0.63909 0.53
0.55 1.919 0.67825 0.55
0.57 1.82972 0.71576 0.57
0.59 1.72786 0.75135 0.59
0.61 1.61531 0.7848 0.61
0.63 1.49409 0.81591 0.63
0.65 1.36635 0.84452 0.65
0.67 1.23431 0.87053 0.67
0.69 1.10024 0.89388 0.69
0.71 0.96642 0.91454 0.71
0.73 0.83507 0.93255 0.73
0.75 0.70835 0.94798 0.75
0.77 0.58827 0.96093 0.77
0.79 0.47666 0.97157 0.79
0.81 0.37514 0.98007 0.81
0.83 0.28504 0.98665 0.83
0.85 0.20735 0.99155 0.85
0.87 0.14268 0.99503 0.87
0.89 0.09121 0.99735 0.89
0.91 0.05261 0.99876 0.91
0.93 0.02601 0.99953 0.93
0.95 0.00993 0.99987 0.95
0.97 0.00224 0.99998 0.97
0.99 0.00009 1.0 0.99

Related functions

Other related functions are:

Last update: Apr 2, 2021   » Contribute   » Show contributors

Contributors: Alberto Ferrari, Marco Russo

Microsoft documentation: https://docs.microsoft.com/en-us/dax/beta-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.

Iterator

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.

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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