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3 results

  • Some Simple Procedures for Handling Missing Data in Multivariate Analysis

  • James W. Frane
  • Journal:
    Psychometrika / Volume 41 / Issue 3 / September 1976
    Published online by Cambridge University Press:
    01 January 2025, pp. 409-415

  • For analyses with missing data, some popular procedures delete cases with missing values, perform analysis with “missing value” correlation or covariance matrices, or estimate missing values by sample means. There are objections to each of these procedures. Several procedures are outlined here for replacing missing values by regression values obtained in various ways, and for adjusting coefficients (such as factor score coefficients) when data are missing. None of the procedures are complex or expensive.

  • 3 - Systems of Linear Equations

  • from Part I - Numerical Linear Algebra
  • Abner J. Salgado, University of Tennessee, Knoxville, Steven M. Wise, University of Tennessee, Knoxville
  • Book:
    Classical Numerical Analysis
    Published online:
    29 September 2022
    Print publication:
    20 October 2022, pp 31-72

  • Summary

    We study the solution of square systems of linear equations with a nonsingular matrices, we provide sufficient conditions for the classical Gaussian elimination with pivoting to proceed without failure. We introduce the LU factorization of a matrix, and several of its variants, like Cholesky factorization.

  • 1 - Preliminaries

  • David C. Vella, Skidmore College, New York
  • Book:
    Invitation to Linear Programming and Game Theory
    Published online:
    11 March 2021
    Print publication:
    11 March 2021, pp 1-62

  • Summary

    We introduce the mathematical modeling process. We also set the stage for the rest of the book by discussing systems of linear equations and their solutions, matrices, Gauss-Jordan elimination, linear combinations of vectors, basis vectors of Euclidean space, and their connection to basic solutions of a linear system. We conclude with simple optimization problems with quadratic functions.