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Chapter 5: Exploratory Data Analysis

Chapter 5: Exploratory Data Analysis

pp. 62-75

Authors

, Deakin University, Victoria, , University of Melbourne
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Extract

All statistical models have assumptions, and violation of these assumptions can affect the reliability of any conclusions we draw. Before we fit any statistical model, we need to explore the data to be sure we fit a valid model. Are relationships assumed to be a straight line really linear? Does the response variable follow the assumed distribution? Are variances consistent? We outline several graphical techniques for exploring data and introduce the analysis of model residuals as a powerful tool. If assumptions are violated, we consider two solutions, transforming variables to satisfy assumptions and using models that assume different distributions more consistent with the raw data and residuals. The exploratory stage can be extensive, but it is essential. At this pre-analysis stage, we also consider what to do about missing observations.

Keywords

  • boxplot
  • scatterplot matrix
  • violin plot
  • outlier
  • transformation
  • smoothing
  • residual plot
  • missing data
  • imputation

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