Beta Distribution for the Probability Distribution Calculator
- Density Function
- The Beta distribution has the probability density function:
f(x) = G(n+w)/[G(n)G(w)] * [xn-1 * (1-x)w-1]
0 < x < 1, n > 0, w > 0
where
- Distribution function
- The Beta distribution function (the term distribution function was first introduced by von Mises, 1919) is related to the incomplete Beta function. For more information, see Pearson, 1968.
- Beta
- This field displays the current variate value for the Beta distribution. When you edit this value (either manually or with the microscrolls), Statistica computes the associated p-value for the distribution with the specified degrees of freedom.
- p
- This field displays the p-value computed from the specified variate value and degrees of freedom or you can enter a desired p-value (either manually or edit the existing value with the microscrolls) and compute the critical value for the specified degrees of freedom.
- Shape1, Shape2
- Specify here the shape parameters of the distribution, n and w, respectively. If one or both of these parameters are changed, then the p-value will be recomputed based on the respective variate value.
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