## (Draft Copy) On the Statistical Interpretation of Structural Equations

### BibTeX

@MISC{Pearl_(draftcopy),

author = {Judea Pearl},

title = {(Draft Copy) On the Statistical Interpretation of Structural Equations},

year = {}

}

### OpenURL

### Abstract

F28.92> y 2 and x 1 were fixed" using the model described in (1), the result does not match the interpretation advanced by Goldberger. Specifically, assuming u 1 and u 2 are zero-mean disturbances (independent on X 1 and X 2 ), Wermuth finds E(Y 1 j Y 2 = y 2 ; X 1 = x 1 ) 6= a 1 y 2 + a 2 x 1 (unless further assumptions are made) and concludes that "the parameters in (1) cannot have the meaning Arthur Goldberger claims they have." 1 This exchange between a statistician and an economist exemplifies the long history of tension between regression analysis and structural equations modeling, which dates back to the inception of the latter by Wright [27],