Delila Program: binplo

# binplo program

## By downloading this code you agree to the Source Code Use License (PDF). Pascal source code: binplo.p (wget instructions) Instructions on compiling MacOS binary: binplo Alphabetic List of Delila Programs Delila Programs by Most Recent Update Please report broken links delilabundle.zip = All Programs and MacOS Binaries Copyright Statement for Delila Programs

### Documentation for the binplo program is below, with links to related programs in the "see also" section.

```{version = 1.29; (* of binplo.p, 1987 feb 10 *)}

(* begin module describe.binplo *)
(*
name
binplo: produce the binomial probabilities for a found black to white ratio

synopsis
binplo(xyin: out, xyplop: out, binplop: in, output: out)

files
xyin: a table of probabilities of finding the given black to white
ratio, versus the true probability.  The form is a series of lines
that begin with '* ', followed by two columns of numbers.
The first column is the value of fraction, and the second column is
the corresponding value of p(black:white|fraction) = the probability of
obtaining black and white given fraction.  This file is direct input
to the xyplo program.
xyplop: the controls for the xyplo program to generate the graph.
These may be modified by the user before plotting.
binplop: parameters to control the program
blacks and whites: two integers on the first line, representing the
number of black balls and white balls obtained in an experiment
points: one integer on the second line, how many data points should
be generated in the fout.  If points is zero, then the program
tests its binomial probability procedure by adding all the
probabilities that correspond to the binomial distribution.
For example, with 1 black and 18 white balls, the test is to
add the probabilities for (0,19), (1,18), ... (19,0).  This
value should be close to 1.00 if the procedure is correct.

description
Suppose there exists a large bin containing both black and white
balls.  The true fraction of black balls in the bin is fraction, and
the fraction of white balls is (1-fraction).  We obtain a sample of
black and white balls from the bin, given as the first two parameters
in binplop.  The probability of getting this black:white sample is:

(black+white)!         black             white
p(black:white|fraction) = -------------- fraction      (1-fraction)
black!white!

the program generates these probabilities for all values of fraction,
and gives the results in a form that the xyplo program can use to plot.

xyplo.p

author
Thomas Dana Schneider

bugs
none known

*)
(* end module describe.binplo *)
{This manual page was created by makman 1.45}

```
{created by htmlink 1.62}
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