G. Cowan, Statistical Data Analysis

• random.f, a multiplicative linear congruential random number generator.
• test_random.f, a test program for random.f and HBOOK histogram software.
• test_rnpssn.f, a test program for generating Poisson distributed numbers with RNPSSN (CERN routine V136).
• pmt.f simulates electron multiplication in a photomultiplier tube. (Uses RNPSSN.)
• compute_chi2.f reads in a histogram and theoretical prediction from files and computes a chi2 statistic. Sample data are contained in data_1.dat, and two files with different predictions are theory_1.dat and theory_2.dat.
• compute_chi2_dist.f reads a file with expectation values for the bins of a histogram, generates Monte Carlo data according to a Poisson distribution for each bin, and computes a chi2 statistic. The MC experiment is repeated to determine the distribution of the statistic, which is compared to the usual chi2 distribution.
• fit_galileo.f, a sample program for using the MINUIT minimization routines, reads in a data file and performs a least squares fit. The program must be linked to the MINUIT routines from the CERN library as well as to the routine FCN. A sample FCN is in fcn_galileo.f, and a data file with measurements by Galileo is in galileo.dat.
• poislo.f, poisup.f, and poisint.f, subroutines for computing upper and lower confidence limits for a Poisson parameter. The routines must be linked with CHISIN (quantile of chi2 distribution, routine G101) from the CERN Program Library.
• ffinv.f, a function that returns the quantile of the F distribution (i.e. inverse of the cumulative distribution). The file ffinv.f includes the routines ALNGAM, XINBTA and BETAIN from StatLib (Applied Statistics algorithms).
• binomlo.f, binomup.f, and binomint.f, subroutines for computing upper and lower confidence limits for a binomial parameter p. The routines must be linked with FFINV, ALNGAM, XINBTA and BETAIN.

• The test routines for random numbers and HBOOK test_random.cc, random.cc, random.h, and a file for compiling and linking with gmake, GNUmakefile.