Linear Models

  • Linear Models: A Mean Model Approach
    Linear Models: A Mean Model Approach
    By William R. Moser

    normal equations X'DXi8 =X'R'Y where the nonsingular k x k matrix D = R'R. Since the p x p matrix X'DXa has rank k ... The model can be rewritten in matrix form as Y = RX4/3 = E where the 6 x 3 replication matrix R, the 3 x 4 matrix Xd ...

  • Linear Models: Least Squares and Alternatives
    Linear Models: Least Squares and Alternatives
    By C.Radhakrishna Rao, Helge Toutenburg

    In Section 3.2, we have measured the model's goodness of fit by the sum of squared errors S(3). ... (3.42) We will denote the covariance matrix of an estimator 3 by V(6): V(3) = E(3–E(3)(3 – E(3))'. (3.43) If E(3) = 3, then 3 will be ...

  • Linear Models: An Integrated Approach
    Linear Models: An Integrated Approach
    By Debasis Sengupta, Sreenivasa Rao Jammalamadaka

    (98) Albert, A. (1972) Regression and the Moore-Penrose pseudoinverse, Mathematics in Science and Engineering, 94, Academic, New York. (30) Anderson, T.W. (1971) The Statistical Analysis of Time Series, Wiley Series in Probability and ...

  • Linear Models
    Linear Models
    By Shayle R. Searle, Marvin H. J. Gruber

    SHRINKAGE ESTIMATION OF REGRESSION PARAMETERS AND VARIANCE COMPONENTS We shall consider shrinkage estimators of regression parameters and of variance components. First, we explain what shrinkage estimators are and how they can be more ...

  • Linear Models
    Linear Models
    By Shayle R. Searle, Marvin H. J. Gruber

    Provides an easy-to-understand guide to statistical linear models and its uses in data analysis This book defines a broad spectrum of statistical linear models that is useful in the analysis of data.

  • Linear Models
    Linear Models
    By Shayle R. Searle

    Dieser Band beschreibt allgemeine Verfahren zur Abschätzung und Hypothesenprüfung für lineare statistische Modelle. Besonderen Wert legt das Buch auf die Interpretation unausgeglichener Daten.

  • Linear Models: An Introduction
    Linear Models: An Introduction
    By Irwin Guttman

    Linear Models: An Introduction

  • Linear Models: The Theory and Application of Analysis of Variance
    Linear Models: The Theory and Application of Analysis of Variance
    By Brenton R. Clarke

    ... Plane Answers to Complex Questions: The Theory of Linear Models, Springer-Verlag, New York. Clarke, B. R. (1983). Uniqueness and Fréchet differentiability of functional solutions to maximum likelihood equations, Ann. Statist. 11: 1196 ...