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Transformation and Weighting in Regression (Chapman & Hall/CRC Monographs on Statistics & Applied Probability) [Hardcover]

Raymond J. Carroll (Author), David Ruppert (Author)

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Book Description

August 1, 1988 0412014211 978-0412014215 1
This monograph provides a careful review of the major statistical techniques used to analyze regression data with nonconstant variability and skewness. The authors have developed statistical techniques--such as formal fitting methods and less formal graphical techniques-- that can be applied to many problems across a range of disciplines, including pharmacokinetics, econometrics, biochemical assays, and fisheries research.

While the main focus of the book in on data transformation and weighting, it also draws upon ideas from diverse fields such as influence diagnostics, robustness, bootstrapping, nonparametric data smoothing, quasi-likelihood methods, errors-in-variables, and random coefficients. The authors discuss the computation of estimates and give numerous examples using real data. The book also includes an extensive treatment of estimating variance functions in regression.


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Inside This Book (learn more)
First Sentence:
When modeling data it is often assumed that, in the absence of randomness or error, one can predict a response y from a predictor x through the deterministic relationship y=f(x, ) (1.1) where is a regression parameter. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
car insurance data, absolute residual estimation, smearing estimator, absolute studentized residuals, calibration confidence intervals, power transformation family, unweighted fit, absolute residuals, power weighting, logarithm method, preliminary estimator, score test statistic, variance function, clearance data, prediction limits, conditional median, generalized least squares, pth quantile, unweighted least squares, skewness coefficient, nonlinear regression model, approximate expectation, spawning population, squared residuals, influence diagnostics
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Skeena River, Monte Carlo, Logarithm of Predicted Values Figure, Logarithm of Predicted Value Figure, Examples Example
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