THE USE OF THE GENERALIZED INVERSE IN THE GENERAL LINEAR STATISTICAL MODEL.

Abstract

The general linear model of statistical inference is formulated in terms of the Moore-Penrose generalized inverse. The matrix algebra of the generalized inverse which is essential to the model is presented. A methodology for estimation and hypothesis testing is derived which permits identical manipulation of both the full rank and the less-than-full rank cases of the model. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1967
Accession Number
AD0828255

Entities

People

  • Frederick Roberts Ackley Jr

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Algebra
  • Computing-Related Activities
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Statistical Inference

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Linear Algebra
  • Regression Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms