手法を比較

	MRQAP Network Regression	Quadratic Assignment Procedure
分野	Sociology	Sociology
系統	Regression model	Process / pipeline
提唱年	1988 (MRQAP); 2007 (double-semipartialing test)	1976 (QAP); 1988 (network application)
提唱者	David Krackhardt; David Dekker, David Krackhardt & Tom Snijders	Lawrence Hubert & James Schultz; David Krackhardt
種類	Permutation-based multiple regression for dyadic (matrix) outcomes	Permutation-based test of association between two matrices
原典	Krackhardt, D. (1988). Predicting with networks: Nonparametric multiple regression analysis of dyadic data. Social Networks, 10(4), 359–381.	Krackhardt, D. (1988). Predicting with networks: Nonparametric multiple regression analysis of dyadic data. Social Networks, 10(4), 359–381.
別名	MRQAP, multiple regression QAP, Dekker double-semipartialing, QAP regression	QAP correlation, QAP permutation test, matrix permutation test, Hubert-Schultz QAP
関連	4	4
概要	Multiple regression quadratic assignment procedure (MRQAP) extends QAP to the regression setting: it predicts a dependent relational matrix from several independent relational matrices on the same actors — for example, modeling who collaborates with whom as a function of who is co-located, who shares a department, and who has prior friendship. Coefficients are estimated by ordinary least squares on the vectorized matrices, but significance is assessed by permutation, because dyadic dependence invalidates the standard regression standard errors.	The quadratic assignment procedure (QAP) is a permutation-based method for testing the association between two relational matrices measured on the same set of actors — for example, whether who advises whom is correlated with who is friends with whom. Because the dyads in a network are not independent, ordinary correlation and regression give invalid p-values; QAP fixes this by comparing the observed matrix correlation to a reference distribution generated by randomly relabeling the nodes of one matrix many times.