Data transformation: A focus on the interpretation

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Abstract

Several assumptions such as normality, linear relationship, and homoscedasticity are fre-quently required in parametric statistical analysis methods. Data collected from the clinical situation or experiments often violate these assumptions. Variable transformation pro-vides an opportunity to make data available for parametric statistical analysis without statistical errors. The purpose of variable transformation to enable parametric statistical analysis and its final goal is a perfect interpretation of the result with transformed variables. Variable transformation usually changes the original characteristics and nature of units of variables. Back-transformation is crucial for the interpretation of the estimated results. This article introduces general concepts about variable transformation, mainly focused on logarithmic transformation. Back-transformation and other important considerations are also described herein.

Original languageEnglish
Pages (from-to)503-508
Number of pages6
JournalKorean Journal of Anesthesiology
Volume73
Issue number6
DOIs
StatePublished - Dec 2020

Keywords

  • Back-transformation
  • Box-Cox transformation
  • Homoscedasticity
  • Logarith-mic
  • Normality
  • Power
  • Retransformation
  • Skewed distribution
  • Transformation

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