| Linear Models, Statistical Information, and Statistical Inference. |
MAY 1971 |
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| Authors:
G. Zyskind; O. Kempthorne; Abel G. Mexas; P. Papaioannou; Justus Seely; IOWA STATE UNIV AMES
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 | Research on linear models and statistical information and inference is described. Chapter I deals with parametric augmentations and error structures under which certain simple least squares and analysis of variance procedures are also best. Chapter 2 develops efficient methods for the analysis of variance of balanced complete experimental data on a digital computer. Chapter 3 considers linear spaces and unbiased estimation with application to the mixed linear model. Chapter 4 ... |
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| On Statistical Information Theory and Related Measures of Information, |
MAR 1971 |
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| Authors:
P. C. Papaioannou; O. Kempthorne; IOWA STATE UNIV AMES
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| The report presents a small sample statistical information theory based on three measures of information. It provides also an answer to the problem of constructing functional measures of information covering non-regular distributions. Chapter 2 discusses the concept of statistical information. The Fisherian information measure is examined in the scalar and vector parameter cases in Chapter 3. The modified Kullback-Leibler functional measure of information and the generalized Bhattacharyya functional measure are ... |
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| PARALLEL TANGENTS AND STEEPEST DESCENT OPTIMIZATION ALGORITHM-A COMPUTER IMPLEMENTATION WITH APPLICATION TO PARTIALLY LINEAR MODELS, |
JUL 1970 |
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| Authors:
T. Papaioannou; O. Kempthorne; IOWA STATE UNIV AMES
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| The report presents a computer implementation of the PARTAN and steepest descent optimization algorithms. Some research on fitting partially linear models is also reported. Chapter I gives an introduction to the PARTAN and steepest descent optimization algorithms. Chapter II describes the problems solvable by the present routine. Chapter III presents an analysis of the program. Input-output considerations, data preparation and limitations of the program are given in Chapter IV. Results ... |
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| LINEAR MODELS AND ANALYSIS OF VARIANCE RESEARCH PROCEDURES, |
JUL 1968 |
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| Authors:
G. Zyskind; O. Kempthorne; F. B. Martin; E. J. Carney; E. N. West; IOWA STATE UNIV OF SCIENCE AND TECHNOLOGY AMES
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| Research on some related linear model theory and analysis of variance procedures is described. Chapter I is introductory, giving a general outline of topics described in the report. Chapter II presents a formulation of aspects of best and simple least squares linear estimation in linear models with arbitrary, possibly singular, covariance structure. Chapter III develops a generalization of the famed Gauss-Markoff theorem, applying to situations including a singular variance-covariance structure ... |
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| RESEARCH ON ANALYSIS OF VARIANCE AND RELATED TOPICS. |
NOV 1964 |
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| Authors:
G. Zyskind; O. Kempthorne; R. F. White; E. E. Dayhoff; T. E. Doerfler; IOWA STATE UNIV OF SCIENCE AND TECHNOLOGY AMES
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| The research described in this report is directed towards understanding of linear models and the analysis of variance with regard to experimentation. Chapter I gives a general outline of topics covered in the report. Chapter II gives a detailed account of the randomization consequences in a generalization of the balanced incomplete block design. Chapter III attempts a unified formulation of experimental structures and discusses variance analysis in the general experiment. ... |
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| SOME FURTHER PROPERTIES OF THE METHODS OF PARALLEL TANGENTS AND CONJUGATE GRADIENTS |
SEP 1961 |
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| Authors:
R.J. BUEHLER; B.V. SHAH; O. Kempthorne; IOWA STATE UNIV OF SCIENCE AND TECHNOLOGY AMES STATISTICAL LAB
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| A COMPARISON IS MADE BETWEEN THE METHODS OF PARALLEL TANGENTS AND STEEPEST DESCENT AT THE FIRST POINT AT WHICH THEY DO NOT COINCIDE, NAMELY P4. These resul s can be used to obtain an idea of the performance of the method of parallel tangents for the determination of the minimum of any unknown regression function and of the method of conjugate gradients for the numerical solution of linear systems. (Author) ... |
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