Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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A robust method for response variable transformations using dynamic plots

  • Seo, Han Son (Department of Applied Statistics, Konkuk University)
  • Received : 2019.02.24
  • Accepted : 2019.06.11
  • Published : 2019.09.30
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Abstract

The variable transformations are useful ways to guarantee the functional relationships in the model. However, the presence of outliers may undermine the accuracy of transformation. This paper deals with response transformations in the partial linear models under the existence of outliers. A new procedure for response transformation and outliers detection is proposed. The procedure uses a sequential method for identifying outliers and dynamic graphical methods for an appropriate transformation. The graphical tools make it possible to catch diagnostic information by monitoring the movement of points in the data. The procedure is illustrated with several examples. Examples show that visual clues regarding the optimal transformation, the fittness of the model and the outlyness of the observations can be checked from the series of plots.

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References

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