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Teaching Materials for Visualizing Multivariate Data Analysis with a Focus on Covariance

Author

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  • Yukari Shirota
  • Yutaka Takahashi

Abstract

経済・経営分野における多変量解析において，分散共分散行列は重要な概念であり，それを真に理解させることは，経済・経営数学教育において非常に重要である。本稿では，分散共分散行列および，共分散を説明するために，その可視化を行う。共分散を使う多変量解析は多いが，そのなかでも，回帰分析および主成分分析は頻繁に使われる。そこで，この2種類の分析で共分散がどのように活用されるかを，標本サイズを次第に増加させながら視覚的に説明する2次元並びに3次元で可視化したインタフェイスを示す。また，時系列データの比較において，共分散が標準化された2系列データの類似度の尺度と解釈できることを示す教材を示す。

Suggested Citation

  • Yukari Shirota & Yutaka Takahashi, 2015. "Teaching Materials for Visualizing Multivariate Data Analysis with a Focus on Covariance," Gakushuin Economic Papers, Gakushuin University, Faculty of Economics, vol. 52(2), pages 49-63.
    • Handle: RePEc:abc:gakuep:52-2-1
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