Author | Atkinson, Anthony. author |
---|---|
Title | Robust Diagnostic Regression Analysis [electronic resource] / by Anthony Atkinson, Marco Riani |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2000 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1160-0 |
Descript | XVI, 328 p. online resource |
1 Some Regression Examples -- 1.1 Influence and Outliers -- 1.2 Three Examples -- 1.3 Checking and Building Models -- 2 Regression and the Forward Search -- 2.1 Least Squares -- 2.2 Added Variables -- 2.3 Deletion Diagnostics -- 2.4 The Mean Shift Outlier Model -- 2.5 Simulation Envelopes -- 2.6 The Forward Search -- 2.7 Further Reading -- 2.8 Exercises -- 2.9 Solutions -- 3 Regression -- 3.1 Hawkinsโ Data -- 3.2 Stack Loss Data -- 3.3 Salinity Data -- 3.4 Ozone Data -- 3.5 Exercises -- 3.6 Solutions -- 4 Transformations to Normality -- 4.1 Background -- 4.2 Transformations in Regression -- 4.3 Wool Data -- 4.4 Poison Data -- 4.5 Modified Poison Data -- 4.6 Doubly Modified Poison Data: An Example of Masking -- 4.7 Multiply Modified Poison DataโMore Masking -- 4.8 Ozone Data -- 4.9 Stack Loss Data -- 4.10 Musselsโ Muscles: Transformation of the Response -- 4.11 Transforming Both Sides of a Model -- 4.12 Shortleaf Pine -- 4.13 Other Transformations and Further Reading -- 4.14 Exercises -- 4.15 Solutions -- 5 Nonlinear Least Squares -- 5.1 Background -- 5.2 The Forward Search -- 5.3 Radioactivity and Molar Concentration of Nifedipene -- 5.4 Enzyme Kinetics -- 5.5 Calcium Uptake -- 5.6 Nitrogen in Lakes -- 5.7 Isomerization ofn-Pentane -- 5.8 Related Literature -- 5.9 Exercises -- 5.10 Solutions -- 6 Generalized Linear Models -- 6.1 Background -- 6.2 The Exponential Family -- 6.3 Mean, Variance, and Likelihood -- 6.4 Maximum Likelihood Estimation -- 6.5 Inference -- 6.6 Checking Generalized Linear Models -- 6.7 Gamma Models -- 6.8 Car Insurance Data -- 6.9 Dielectric Breakdown Strength -- 6.10 Poisson Models -- 6.11 British Train Accidents -- 6.12 Cellular Differentiation Data -- 6.13 Binomial Models -- 6.14 Blissโs Beetle Data -- 6.15 Mice with Convulsions -- 6.16 Toxoplasmosis and Rainfall -- 6.17 Binary Data -- 6.18 Theory: The Effect of Perfect Fit and the Arcsine Link -- 6.19 Vasoconstriction Data and Perfect Fit -- 6.20 Chapman Data -- 6.21 Developments and Further Reading -- 6.22 Exercises -- 6.23 Solutions -- A Data -- Author Index