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An Analysis of Transformations
George E. P. Box,David Cox +1 more
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In this article, Lindley et al. make the less restrictive assumption that such a normal, homoscedastic, linear model is appropriate after some suitable transformation has been applied to the y's.Abstract:
[Read at a RESEARCH METHODS MEETING of the SOCIETY, April 8th, 1964, Professor D. V. LINDLEY in the Chair] SUMMARY In the analysis of data it is often assumed that observations Yl, Y2, *-, Yn are independently normally distributed with constant variance and with expectations specified by a model linear in a set of parameters 0. In this paper we make the less restrictive assumption that such a normal, homoscedastic, linear model is appropriate after some suitable transformation has been applied to the y's. Inferences about the transformation and about the parameters of the linear model are made by computing the likelihood function and the relevant posterior distribution. The contributions of normality, homoscedasticity and additivity to the transformation are separated. The relation of the present methods to earlier procedures for finding transformations is discussed. The methods are illustrated with examples.read more
Citations
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International comparisons of health expenditure: theory, data and econometric
TL;DR: Results indicates, for example, that the use of primary care "gatekeepers" lowers health expenditure and also that the way of remunerating physicians in the ambulatory care sector appears to influence health expenditure; capitation systems tend to lead to lower expenditure than fee-for-service systems.
Journal ArticleDOI
Forecasting spot electricity prices: Deep learning approaches and empirical comparison of traditional algorithms
TL;DR: A novel modeling framework for forecasting electricity prices is proposed and it is shown how the proposed deep learning models outperform the state-of-the-art methods and obtain results that are statistically significant.
The Measurement of Depreciation in the U.S. National Income and Product Accounts
TL;DR: In this article, the authors describe the theoretical and empirical literature that supports the new bea methodology, which has shown that depreciation for most types of assets approximates a geometric pattern.
Journal ArticleDOI
A Review of Response Surface Methodology: A Literature Survey*
TL;DR: A review of the literature of response surface methodology, emphasizing especially the practical applications of the method can be found in this article, where a comprehensive bibliography is also provided, with a focus on the application of the response surface strategy in chemistry and chemical engineering.
Journal ArticleDOI
Statistical Quality Control
TL;DR: Stuart Coles’s book on the modeling of extreme values provides an introductory text on the topic, a modeling-oriented text with an emphasis on different types of data and analytical approaches, meant for individuals with moderate statistical background.
References
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Book
Theory of probability
Harold Jeffreys,R. Bruce Lindsay +1 more
TL;DR: In this paper, the authors introduce the concept of direct probabilities, approximate methods and simplifications, and significant importance tests for various complications, including one new parameter, and various complications for frequency definitions and direct methods.
Journal ArticleDOI
Theory of Probability.
Ernest Nagel,Harold Jeffreys +1 more
TL;DR: In this paper, the authors introduce the concept of direct probabilities, approximate methods and simplifications, and significant importance tests for various complications, including one new parameter, and various complications for frequency definitions and direct methods.
Book ChapterDOI
Properties of Sufficiency and Statistical Tests
TL;DR: In this article, the structure of small sample tests, whether these are related to problems of estimation and fiducial distributions, or are of the nature of tests of goodness of fit, is considered further.
Journal ArticleDOI
The use of transformations.
TL;DR: In this paper, the authors summarize the transformations which have been used on raw statistical data, with particular reference to analysis of variance, and the usual purpose of the transformation is to change the scale of the measurements in order to make the analysis more valid.
Journal ArticleDOI
One Degree of Freedom for Non-Additivity
TL;DR: The present writer is usually much more concerned with and worried about non-additivity, and until recently has suffered from the lack of a systematic way to seek it out, and then to measure it.