help for pbeta

Probability plot for data versus fitted beta distribution

pbeta varname [if exp] [in range] [weight] [, grid param(# #) show(condition) generate(newvar1 newvar2) graph_options ]

where graph_options are

rlopts(cline_options) plot(plot) scatter_options twoway_options

fweights and aweights are allowed; see help weights.


pbeta produces a probability plot for varname compared with a two-parameter beta distribution with probability density function for variable 1 > x > 0, shape parameters a > 0 and b > 0 of [1 / B(a, b) ] x ^(a - 1) (1 -x)^ (b - 1). Here B(,) is the beta function. By default, maximum likelihood estimation is carried out, using betafit, which should be installed separately.


In the majority of cases, pbeta will be used to fit an beta distribution on the fly and to assess that fit. In some cases, it may be of interest to compare data with a beta distribution with known or hypothesised parameters, which may be specified using the param() option. In all cases it is important not only to specify any if or in restrictions, but also to specify relevant weights, which will (unless constant) affect the configuration of the plot.


grid is equivalent to yla(0(.25)1, grid) xla(0(.25)1, grid).

param() may be used to supply parameter values (namely, shape parameters) directly for use in estimation of fitted quantiles. a and b should be provided as separate values in precisely that order.

show() may be used to specify that you wish to restrict the graph according to some condition, say looking at one tail of the distribution only. Note that if and in should not be used for this purpose.

generate() specifies the names of two new variables, the first to hold beta probabilities and the second to hold empirical probabilities.

graph_options are rlopts(cline_options), plot(plot), scatter_options, and twoway_options.

rlopts(cline_options) affect the rendition of the reference line; see help cline_options.

plot(plot) provides a way to add other plots to the generated graph; see help plot_option.

scatter_options affect the rendition of the plotted points; see help scatter.

twoway_options are any of the options documented in help twoway_options excluding by(). These include options for titling the graph (see help title_options) and options for saving the graph to disk (see help saving_option).


. pbeta hail

. pbeta hail, gen(hail_bet hail_emp)


Nicholas J. Cox, University of Durham, U.K. n.j.cox@durham.ac.uk


Evans, M., Hastings, N. and Peacock, B. 2000. Statistical distributions. New York: John Wiley.

Johnson, N.L., Kotz, S. and Balakrishnan, N. 1995. Continuous univariate distributions: Volume 2. New York: John Wiley.

Also see