線形構造方程式モデルにおける同時介入効果の線形回帰母数による表現

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  • Joint Intervention Effects in Linear Structural Equation Model through Linear Regression Parameters.
  • センケイ コウゾウ ホウテイシキ モデル ニ オケル ドウジ カイニュウ コウカ ノ センケイ カイキ ボスウ ニ ヨル ヒョウゲン

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In case where causal relationships among variables can be described by a causal diagram and the corresponding linear structural equation model, this paper deals with statistical inference problems of joint intervention effects, which are the effects of external interventions in some treatment variables. The joint intervention effects defined by Pearl and Robins (1995) are formulated as a nonparametric distribution. This paper formulates both the mean and the variance of the joint intervention effects through the path coefficients in a linear structural equation model. In addition, it clarifies how linear regression models should be used in order to estimate both the mean and the variance of the joint intervention effects. Furthermore, this paper gives explicit expression of the mean and the variance of the joint intervention effects through linear regression parameters.

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