4. The Theory of Least Squares and Analysis of Variance

  1. C. Radhakrishna Rao

Published Online: 27 MAY 2008

DOI: 10.1002/9780470316436.ch4

Linear Statistical Inference and its Applications: Second Editon

Linear Statistical Inference and its Applications: Second Editon

How to Cite

Rao, C. R. (1973) The Theory of Least Squares and Analysis of Variance, in Linear Statistical Inference and its Applications: Second Editon, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470316436.ch4

Author Information

  1. Pennsylvania State University

Publication History

  1. Published Online: 27 MAY 2008
  2. Published Print: 13 APR 1973

ISBN Information

Print ISBN: 9780471708230

Online ISBN: 9780470316436

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Keywords:

  • statistical inference;
  • linear models;
  • theory of least squares;
  • singular dispersion matrix;
  • multiple and partial correlation coefficients and ratios

Summary

The prelims comprise:

  • Theory of Least Squares (Linear Estimation)

  • Tests of Hypotheses and Interval Estimation

  • Problems of a Single Sample

  • One-way Classified Data

  • Two-way Classified Data

  • A General Model for Two-way Data and Variance Components

  • The Theory and Application of Statistical Regression

  • The General Problem of Least Squares with Two Sets of Parameters

  • Unified Theory of Linear Estimation

  • Estimation of Variance Components

  • Biased Estimation in Linear Models

  • Complements and Problems