TY - JOUR

T1 - Multiple Regression With Data Collected From Relatives

T2 - Testing Assumptions of the Model

AU - Neale, Michael C.

AU - Eaves, Lindon J.

AU - Kendler, Kenneth S.

AU - Heath, Andrew C.

AU - Kessler, Ronald C.

PY - 1994/1/1

Y1 - 1994/1/1

N2 - Multiple regression is a causal model of the relationship between sets of independent (X) and dependent (Y) variables. This model is extended to cover data collected from relatives, where the observations are not independent. If correct, the model permits appropriate statistical tests of regression coefficients in data collected from relatives. Across relative covariances, particularly across the independent and dependent variables may reject the basic regression model. Further extensions of the model are developed that permit tests of several assumptions implicit in multiple regression: (a) the assignment of variables as dependent or independent; (b) the relationship between X and Y variables is not due to some latent variable which causes variation in both; and (c) there is no reciprocal interaction between the X and the Y variables. Discrimination between these alternatives is especially strong if data are collected from more than one class of relative, which differ in their X and Y variable covariance structure. Data on Eysenck Extraversion, Neuroticism and CESD depression collected from twins are used as an illustrative example.

AB - Multiple regression is a causal model of the relationship between sets of independent (X) and dependent (Y) variables. This model is extended to cover data collected from relatives, where the observations are not independent. If correct, the model permits appropriate statistical tests of regression coefficients in data collected from relatives. Across relative covariances, particularly across the independent and dependent variables may reject the basic regression model. Further extensions of the model are developed that permit tests of several assumptions implicit in multiple regression: (a) the assignment of variables as dependent or independent; (b) the relationship between X and Y variables is not due to some latent variable which causes variation in both; and (c) there is no reciprocal interaction between the X and the Y variables. Discrimination between these alternatives is especially strong if data are collected from more than one class of relative, which differ in their X and Y variable covariance structure. Data on Eysenck Extraversion, Neuroticism and CESD depression collected from twins are used as an illustrative example.

UR - http://www.scopus.com/inward/record.url?scp=21344489881&partnerID=8YFLogxK

U2 - 10.1207/s15327906mbr2901_2

DO - 10.1207/s15327906mbr2901_2

M3 - Article

C2 - 26771553

AN - SCOPUS:21344489881

VL - 29

SP - 33

EP - 61

JO - Multivariate Behavioral Research

JF - Multivariate Behavioral Research

SN - 0027-3171

IS - 1

ER -