ASSOCIATION IN A CLASS OF GROWTH FUNCTIONS.

Abstract

Birth models with time-dependent transition probabilities are useful for the analysis of growth functions. The 'availability' model (in contrast to the 'reliability' model) has been adopted, since initial time of observation or zero score is rarely a physically meaningful quantity in growth functions. The Weibull class has been selected as a class of growth functions. The report contains description of methods for maximum-likelihood estimation of the Weibull parameter, and estimation of the weighted regression parameters. A measure of association is defined from the regression analysis, and called the index of biserial association. A package of computer programs for the 7094 has been prepared, and documented in the appendix. Results of the analysis of some sampling experiments have been reported for illustration. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1966
Accession Number
AD0653099

Entities

People

  • Rolf E. Bargmann

Tags

DTIC Thesaurus Topics

  • Availability
  • Computer Programs
  • Computers
  • Contrast
  • Cooperation
  • Mathematics
  • Maximum Likelihood Estimation
  • Observation
  • Probability
  • Regression Analysis
  • Reliability
  • Sampling
  • Transitions

Fields of Study

  • Mathematics

Readers

  • Psychometric Testing or Psychological Assessment.
  • Statistical inference.
  • Systems Analysis and Design