Journal ArticleDOI
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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When quality signals talk: Evidence from the Turin hotel industry
TL;DR: In this paper, the authors analyzed the relationship between quality signals and price setting through the application of hedonic price functions and found that reputation-based quality signals help explain tariff levels.
Journal ArticleDOI
Parasite avoidance: the cause of post-calving migrations in Rangifer?
TL;DR: The study revealed significant differences in larval abundance among herds from different summer grazing areas and suggested that herds with post-calving migrations have significantly lower larval abundances than herds remaining on or near the calving grounds for the whole summer.
Journal ArticleDOI
Toward a Better Understanding of Model Validation Metrics
TL;DR: Four main types of metrics, namely classical hypothesis testing, Bayes factor, frequentist’s metric, and area metric, are examined to provide a better understanding of the pros and cons of each.
Journal ArticleDOI
Reference intervals: current status, recent developments and future considerations.
TL;DR: The aim of the review is to present the current theory and practice of RIs, with special emphasis given to multicenter RIs studies, R is studies for pediatric and geriatric age groups, clinical decision limits and partitioning by genetic effects on RIs.
Journal ArticleDOI
A possible method for evaluating oligotrophy and eutrophication based on nutrient concentration scales
TL;DR: In this paper, a statistical analysis of inorganic nutrient data (P-PO4, N-NO3, NNO2, NNH3) has been made for scaling aquatic systems into oligotrophic, mesotrophic and eutrophic water types.
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.