I have come across a problem that I need to solve, and it isn't your garden variety regression problem. It isn't even covered in any of my books, of which I have many. I need either a book title or an online PDF that covers this material.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose we have a response variable [itex]z_1[/itex] that depends on predictor variables [itex]x_1,x_2,...,x_n[/itex]. Further suppose that we have another response variable [itex]z_2[/itex] that depends on predictor variables [itex]y_1,y_2,...,y_m[/itex].

There are 4 studies to be synthesized.

In Study 1 a regression model [itex]z_1=\alpha_0+\alpha_1x_1+\alpha_2x_2+...+\alpha_nx_n[/itex] is obtained.

In Study 2 a regression model [itex]z_2=\beta_0+\beta_1y_1+\beta_2y_2+...+\beta_my_m[/itex] is obtained.

In Study 3 a correlation between [itex]z_1[/itex] and [itex]z_2[/itex] is obtained.

In Study 4 a correlation between [itex]x_1[/itex] and [itex]y_1[/itex] is obtained.

The goal is to synthesize these studies to model [itex]z_1[/itex] as a function of [itex]x_1[/itex] and [itex]y_1[/itex] only.

What's a good read to get going on this? Thanks!

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# Meta Analysis with Several Regression Studies

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