Non-Linear Regression Analysis: A General Program for Data Modeling Using Personal Microcomputers

Abstract

This report documents a general non-linear regression program for fitting data to non-linear models. The program is based on an algorithm which uses a least squares criterion to calculate successive improvements to an initial set of parameter estimates. The program is written in the BASIC language common to most microcomputers, because it is easy to use and to transport between machines from different manufacturers. The majority of inexpensive microcomputers do not offer matrix operations as part of their BASIC interpreter. The program presented here, therefore, supplies subroutines in BASIC for the zeroing, transposing and inverting of the required matrices, to make it compatible with most microcomputers available today. The report gives examples and program output based on a demonstration data set involving antigen- antibody complexation in solution. Two derivations of function subroutines are given to assist the user in developing his own functions. A complete listing of the necessary programs is given along with a section on program cautious.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1983
Accession Number
ADA126840

Entities

People

  • Dennis P. Nelson
  • Louis D. Homer

Organizations

  • Naval Health Research Center

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Antibodies
  • Antigen-Antibody Complex
  • Antigens
  • Biological Sciences
  • Biomedical Research
  • Computers
  • Data Modeling
  • Data Sets
  • Equations
  • Experimental Data
  • Information Science
  • Language
  • Linear Regression Analysis
  • Personal Computers
  • Quadratic Equations
  • Regression Analysis

Readers

  • Approximation Theory.
  • Computer Science.
  • Regression Analysis.