A MONTE CARLO STUDY OF LINEAR REGRESSION ASSUMPTIONS,

Abstract

The report demonstrates the effects on linear regression estimates of variations in (1) the distribution of the dependent variable, (2) distribution of the independent variable, and (3) intercorrelation between independent variables. The basic approach is to premise a population model to reflect some underlying physical law or structural relationship, assign numerical values to parameters, and then introduce violations of the classical assumptions that might be typical in cost estimation problems. From the various cases thus constructed, samples are generated by computer in Monte Carlo fashion. This empirical study tests the sensitivity (in terms of bias and sampling variability) of regression coefficients and common statistical measures of reliability.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0698734

Entities

People

  • G. C. Sumner

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Computers
  • Reliability
  • Sampling
  • Sensitivity

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.