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Applied Regression Analysis and Experimental Design : Statistics: A Series of Textbooks and Monogrphs - Brook

Applied Regression Analysis and Experimental Design

Statistics: A Series of Textbooks and Monogrphs

Hardcover Published: 1st April 1985
ISBN: 9780824772529
Number Of Pages: 237

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For a solid foundation of important statistical methods, this concise, single-source text unites linear regression with analysis of experiments and provides students with the practical understanding needed to apply theory in real data analysis problems. Stressing principles while keeping computational and theoretical details at a manageable level, Applied Regression Analysis and Experimental Design features an emphasis on vector geometry of least squares to unify and provide an intuitive basis for most topics covered ... abundant examples and exercises using real-life data sets clearly illustrating practical problems of data analysis ... essential exposure to Minitab and Genstat computer packages, including computer printouts ... and important background material such as vector and matrix properties and the distributional properties of quadratic forms. Designed to make theory work for students, this clearly written, easy-to-understand work serves as the ideal text for courses in Regression, Experimental Design, and Linear Models in a broad range of disciplines. Moreover, applied statisticians, biometricians, and research workers in applied statistics will find the book a useful reference for the general application of the linear model. Book jacket.

Prefacep. iii
Fitting a Model to Datap. 1
Introductionp. 1
How to Fit a Linep. 3
Residualsp. 10
Transformations to Obtain Linearityp. 12
Fitting a Model Using Vectors and Matricesp. 16
Deviations from Meansp. 21
An Example--Value of a Postage Stamp over Timep. 24
Problemsp. 28
Goodness of Fit of the Modelp. 30
Introductionp. 30
Coefficient Estimates for Univariate Regressionp. 31
Coefficient Estimates for Multivariate Regressionp. 32
ANOVA Tablesp. 33
The F-Testp. 35
The Coefficient of Determinationp. 36
Predicted Values of Y and Confidence Intervalsp. 37
Residualsp. 41
Reduced Modelsp. 45
Pure Error and Lack of Fitp. 48
Example--Lactation Curvep. 50
Problemsp. 53
Which Variables Should Be Included in the Modelp. 56
Introductionp. 56
Orthogonal Predictor Variablesp. 57
Linear Transformations of the Predictor Variablesp. 60
Adding Nonorthogonal Variables Sequentiallyp. 61
Correlation Formp. 64
Variable Selection--All Possible Regressionsp. 68
Variable Selection--Sequential Methodsp. 71
Qualitative (Dummy) Variablesp. 74
Aggregation of Datap. 78
Problemsp. 81
Peculiarities of Observationsp. 84
Introductionp. 84
Sensitive, or High Leverage, Pointsp. 85
Outliersp. 86
Weighted Least Squaresp. 87
More on Transformationsp. 91
Eigenvalues and Principal Componentsp. 93
Ridge Regressionp. 96
Prior Informationp. 100
Cleaning up Datap. 101
Problemsp. 103
The Experimental Design Modelp. 106
Introductionp. 106
What Makes an Experimentp. 107
The Linear Modelp. 112
Tests of Hypothesisp. 118
Testing the Assumptionsp. 120
Problemsp. 123
Assessing the Treatment Meansp. 126
Introductionp. 126
Specific Hypothesisp. 127
Contrastsp. 133
Factorial Analysisp. 139
Unpredicted Effectsp. 144
Conclusionp. 150
Problemsp. 151
Blockingp. 153
Introductionp. 153
Structure of Experimental Unitsp. 154
Balanced Incomplete Block Designsp. 159
Confoundingp. 165
Miscellaneous Tricksp. 173
Problemsp. 176
Extensions to the Modelp. 182
Introductionp. 182
Hierarchic Designsp. 182
Repeated Measuresp. 190
Covariance Analysisp. 192
Unequal Replicationp. 198
Modelling the Datap. 204
Problemsp. 207
Review of Vectors and Matricesp. 212
Some Properties of Vectorsp. 212
Some Properties of Vector Spacesp. 215
Some Properties of Matricesp. 217
Expectation, Linear and Quadratic Formsp. 219
Expectationp. 219
Linear Formsp. 219
Quadratic Formsp. 220
The F-Statisticp. 220
Data Setsp. 221
Ultra-Sound Measurements of Horses' Heartsp. 221
Ph Measurement of Leaf Proteinp. 222
Lactation Records of Cowsp. 223
Sports Carsp. 224
House Price Datap. 225
Computer Teaching Data
Weedicide Datap. 227
Referencesp. 229
Indexp. 231
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9780824772529
ISBN-10: 0824772520
Series: Statistics: A Series of Textbooks and Monogrphs
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 237
Published: 1st April 1985
Country of Publication: US
Dimensions (cm): 24.13 x 16.51  x 1.91
Weight (kg): 0.54
Edition Number: 1