DATA REDUCTION WITH GROUPING AND WEIBULL MODELS.

Abstract

The computational details are given for a two-step procedure for condensing size-graded data, especially bio-medical data, into a parametric statistical model. The first step establishes a histogram of size density while the second fits a Weibull model to the histogram. Three types of histograms are defined and compared on the basis of computational efficiency. An algorithm is proposed for simultaneously estimating the scale, shape, and location parameters of a Weibull distribution from a histogram, and figures of merit for the Weibull fit are defined. The Weibull model is shown to be more flexible than an Edgeworth model. Examples are provided based on computer-simulated data and electroencephalographic (EEG) data. One example classifies EEG sleep data according to sleep stage with the shape parameter of a Weibull fit to a frequency histogram. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 30, 1970
Accession Number
AD0702856

Entities

People

  • Richard C. Dubes

Organizations

  • Michigan State University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Algorithms
  • Computers
  • Data Reduction
  • Efficiency
  • Frequency
  • Histograms

Fields of Study

  • Mathematics

Readers

  • Circadian Sleep-Wake Regulation and Chronobiology
  • Statistical inference.
  • Systems Analysis and Design