Book ChapterDOI
Tests for the Normal Distribution
Ralph B. D'Agostino
- pp 367-420
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TLDR
In this paper, the authors discuss goodness-of-fit tests designed to test formally the appropriateness or adequacy of the normal distribution as a model for the underlying phenomenon from which data were generated.Abstract:
The chapter deals with the second class of use and discusses goodness-of-fit tests designed to test formally the appropriateness or adequacy of the normal distribution as a model for the underlying phenomenon from which data were generated. The single most used distribution in statistical analysis is the normal distribution. The chapter discusses tests that assume a complete random sample is available for analysis. It purposes tests for normality grouped into five categories, chi-square test, empirical distribution function tests, moment tests, regression tests, and miscellaneous tests. A number of investigators have considered extending and modifying the Shapiro-Wilk test. Spiegelhalter used the theory of most powerful location and scale invariant tests to develop tests of normality against the uniform and the double exponential distributions. Results of power studies are not the only means for judging or comparing the normality tests.read more
Citations
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A Brief Review of Tests for Normality
TL;DR: In this paper, a review of commonly used tests for normality is provided, both graphical and analytical tests are presented, and some tests which can successfully handle the supernormality problem are presented.
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Fundamentals of Research Data and Variables: The Devil Is in the Details
TL;DR: If the normality test concludes that the study data deviate significantly from a Gaussian distribution, rather than applying a less robust nonparametric test, the problem can be remedied by judiciously and openly: performing a data transformation of all the data values; or eliminating any obvious data outlier(s).
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TL;DR: A comprehensive study of 100 Arabidopsis accessions at the phenotype and transcriptome level elucidated extraordinary plasticity of growth responses to mild drought and revealed that trans regulation seems to be more important than cis regulation in the transcriptional response to environmental perturbations.
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Evaluation of Serum Thyroid‐Stimulating Hormone Concentration as a Diagnostic Test for Hyperthyroidism in Cats
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Accuracy evaluation of a mobile mapping system with advanced statistical methods
TL;DR: A methodology to evaluate the precision and the accuracy of a commercial Mobile Mapping System (MMS) with advanced statistical methods based on a Gaussian assessment, followed by an outlier filtering process and non-parametric statistical models are applied, to achieve a robust estimation of the error dispersion.