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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Spatial patterns of bacterial taxa in nature reflect ecological traits of deep branches of the 16S rRNA bacterial tree.
Laurent Philippot,Laurent Philippot,David Bru,David Bru,Nicolas Saby,Jiří Čuhel,Dominique Arrouays,Miloslav Šimek,Sara Hallin +8 more
TL;DR: This work investigated how the total and relative abundances of eight bacterial taxa at the phylum or class level were spatially distributed in a pasture by using quantitative PCR and geostatistical modelling and found spatial patterns that indicated that members of a bacterial clade defined at high taxonomical levels shared specific ecological traits in the pasture.
Journal ArticleDOI
Association mapping of spot blotch resistance in wild barley.
Joy Roy,Kevin P. Smith,Gary J. Muehlbauer,Shiaoman Chao,Timothy J. Close,Brian J. Steffenson +5 more
TL;DR: This study demonstrates that AM is an effective technique for identifying and mapping QTL for disease resistance in a wild crop progenitor.
Journal ArticleDOI
A time series model for Kt with application to global synthetic weather generation
TL;DR: In this article, a general mathematical procedure for generating synthetic daily solar irradiation values is described, which is useful for simulating solar energy systems, requiring only the 12 monthly means (K t ) as input.
Journal ArticleDOI
Transformations of multivariate data
TL;DR: In this article, data-based transformations of multivariate observations to enhance the normality of their distribution and also possibly simplify the model are proposed, where power transformations of the original variables are estimated to effect both marginal and joint normality.
Journal ArticleDOI
Executive ownership, corporate value, and executive compensation: A unifying framework
Kee H. Chung,Stephen W. Pruitt +1 more
TL;DR: In this article, the authors present an integrated investigation into the factors affecting executive ownership, the market value of the firm, and executive compensation by explicitly incorporating the simultaneity of the process determining these variables into the empirical estimation.
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.