Exploratory Data Analysis for Complex Models
- 1 December 2004
- journal article
- Published by Informa UK Limited in Journal of Computational and Graphical Statistics
- Vol. 13 (4), 755-779
- https://doi.org/10.1198/106186004x11435
Abstract
“Exploratory” and “confirmatory” data analysis can both be viewed as methods for comparing observed data to what would be obtained under an implicit or explicit statistical model. For example, many of Tukey's methods can be interpreted as checks against hypothetical linear models and Poisson distributions. In more complex situations, Bayesian methods can be useful for constructing reference distributions for various plots that are useful in exploratory data analysis. This article proposes an approach to unify exploratory data analysis with more formal statistical methods based on probability models. These ideas are developed in the context of examples from fields including psychology, medicine, and social science.Keywords
This publication has 21 references indexed in Scilit:
- A Broken System: The Persistent Patterns of Reversals of Death Sentences in the United StatesJournal of Empirical Legal Studies, 2004
- Effect ordering for data displaysComputational Statistics & Data Analysis, 2003
- From the Statistics of Data to the Statistics of KnowledgeJournal of the American Statistical Association, 2003
- Let's Practice What We PreachThe American Statistician, 2002
- Models, Assumptions and Model Checking in Ecological RegressionsJournal of the Royal Statistical Society Series A: Statistics in Society, 2001
- Interactive High-Dimensional Data VisualizationJournal of Computational and Graphical Statistics, 1996
- A Bayesian approach to outlier detection and residual analysisBiometrika, 1988
- Graphical Perception: Theory, Experimentation, and Application to the Development of Graphical MethodsJournal of the American Statistical Association, 1984
- Two graphical displays for outlying and influential observations in regressionBiometrika, 1981
- Description and analogy in the practice of statisticsBiometrika, 1979