vii, 237 pages : 24 cm

Includes bibliographical references (pages 229-230) and index

Fitting a Model to Data -- How to Fit a Line -- Residuals -- Transformations to Obtain Linearity -- Fitting a Model Using Vectors and Matrices -- Deviations from Means -- An Example -- Value of a Postage Stamp over Time -- Goodness of Fit of the Model -- Coefficient Estimates for Univariate Regression -- Coefficient Estimates for Multivariate Regression -- ANOVA Tables -- The F-Test -- The Coefficient of Determination -- Predicted Values of Y and Confidence Intervals -- Residuals -- Reduced Models -- Pure Error and Lack of Fit -- Example -- Lactation Curve -- Which Variables Should Be Included in the Model -- Orthogonal Predictor Variables -- Linear Transformations of the Predictor Variables -- Adding Nonorthogonal Variables Sequentially -- Correlation Form -- Variable Selection -- All Possible Regressions -- Variable Selection -- Sequential Methods -- Qualitative (Dummy) Variables -- Aggregation of Data -- Peculiarities of Observations -- Sensitive, or High Leverage, Points -- Outliers -- Weighted Least Squares -- More on Transformations -- Eigenvalues and Principal Components -- Ridge Regression -- Prior Information -- Cleaning up Data -- The Experimental Design Model -- What Makes an Experiment -- The Linear Model -- Tests of Hypothesis -- Testing the Assumptions -- Assessing the Treatment Means -- Specific Hypothesis -- Contrasts -- Factorial Analysis -- Unpredicted Effects -- Blocking -- Structure of Experimental Units -- Balanced Incomplete Block Designs -- Confounding -- Extensions to the Model -- Hierarchic Designs -- Repeated Measures -- Covariance Analysis -- Unequal Replication -- Modelling the Data -- Review of Vectors and Matrices -- Some Properties of Vectors -- Some Properties of Vector Spaces -- Some Properties of Matrices -- Expectation, Linear and Quadratic Forms -- Expectation -- Linear Forms -- Quadratic Forms -- The F-Statistic -- Data Sets -- Ultra-Sound Measurements of Horses' Hearts -- Ph Measurement of Leaf Protein -- Lactation Records of Cows -- Sports Cars -- House Price Data -- Computer Teaching Data -- Weedicide Data

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