RSSNTBETAPARAM
Returns parameters of the beta distribution for the specified mean and standard deviation.
Syntax
NTBETAPARAM(
- Mean,
- Stdev
)
Parameters
- Mean is the arithmetic mean of the distribution.
- Stdev is the standard deviation of the distribution (Positive value).
Remarks
Parameters are estimated as:
![\alpha=m\left[\frac{m(1-m)}{\sigma^2}-1\right],\quad \beta=(1-m)\left[\frac{m(1-m)}{\sigma^2}-1\right]](http://s0.wp.com/latex.php?latex=%5Calpha%3Dm%5Cleft%5B%5Cfrac%7Bm%281-m%29%7D%7B%5Csigma%5E2%7D-1%5Cright%5D%2C%5Cquad+%5Cbeta%3D%281-m%29%5Cleft%5B%5Cfrac%7Bm%281-m%29%7D%7B%5Csigma%5E2%7D-1%5Cright%5D&bg=T&fg=000000&s=0 "\alpha=m\left[\frac{m(1-m)}{\sigma^2}-1\right],\quad \beta=(1-m)\left[\frac{m(1-m)}{\sigma^2}-1\right]")
where 
Example
- The example may be easier to understand if you copy it to a blank worksheet
How to copy an example
- Create a blank workbook or worksheet.
- Select the example in the Help topic.
Note Do not select the row or column headers.
Selecting an example from Help
- Press CTRL+C.
- In the worksheet, select cell A1, and press CTRL+V.
- 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.
1 2 3 4 5
A B Data Description 0.8 Arithmetic mean of the distribution 0.14 Standard deviation of the distribution Formula Description (Result) =NTBETAPARAM(A2,A3) Parameters of the distribution Alpha and Beta for the terms above Note The formula in the example must be entered as an array formula. After copying the example to a blank worksheet, select the range A5:A6 starting with the formula cell. Press F2, and then press CTRL+SHIFT+ENTER.
- Download sample excel sheet
See also
- NTRANDBETA
- NTBETADIST
- NTBETAINV
- NTBETAKURT
- NTBETAMEAN
- NTBETAMOM
- NTBETASKEW
- NTBETASTDEV
- Beta distribution
- Why I always see the same result even if I input formula into multiple cell?
