This page allows for the on-line reproduction of some results from the paper: Lobry, J.R., Rosso, L., Flandrois, J.-P. (1991) A FORTRAN subroutine for the determination of parameter confidence limits in non-linear models. Binary, 3:86-93.
Abstract: A FORTRAN subroutine to determine confidence limits of parameter values in non- linear models was written. This subroutine writes into an output file a list of point coordinates, in the parameter space, for which the sum of squared residuals between theoretical and observed values equals the threshold value that defines the confidence region. This routine was used to determine parameter confidence limits of two different models describing the relationship between the specific growth rate of a microbial population as a function of temperature. Both models have four parameters and fit data almost equally well, although the structural correlation between parameters they yield is considerably different.
The FORTRAN 77 code source of the program is available here. You need a FORTRAN compiler, for instance the GNU fortran (GCC) g77. This program compiles for me without warning with g77 version 3.4.2:
unix$ ls crunch.f unix$ g77 crunch.f unix$ ls a.out crunch.f unix$ ./a.out unix$ ls OUTDEMO a.out crunch.f unix$ head OUTDEMO 1.399734 290.105468 312.782607 320.046362 1.380233 287.147284 314.342438 320.073303 1.330969 288.123167 313.287554 320.489658 1.399777 286.701891 313.500397 320.109320 1.397104 291.405480 313.159334 320.193488 1.389035 291.512979 312.800439 320.271897 1.424848 287.435813 313.920246 320.200249 1.437858 288.951435 314.159576 320.202439 1.390516 289.739097 314.188366 320.141676 1.361913 290.592461 313.464468 320.366983 unix$
Note that the program won't run if the output file OUTDEMO already exists in the current directory:
unix$ ls OUTDEMO a.out crunch.f unix$ ./a.out open: 'new' file exists apparent state: unit 34 named OUTDEMO lately writing direct unformatted external IO Abort unix$
The file OUTDEMO that should be produced by the program is available here.