方法对比

	MRQAP Network Regression	Quadratic Assignment Procedure
领域	Sociology	Sociology
方法族	Regression model	Process / pipeline
起源年份	1988 (MRQAP); 2007 (double-semipartialing test)	1976 (QAP); 1988 (network application)
提出者	David Krackhardt; David Dekker, David Krackhardt & Tom Snijders	Lawrence Hubert & James Schultz; David Krackhardt
类型	Permutation-based multiple regression for dyadic (matrix) outcomes	Permutation-based test of association between two matrices
开创性文献	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.
别名	MRQAP, multiple regression QAP, Dekker double-semipartialing, QAP regression	QAP correlation, QAP permutation test, matrix permutation test, Hubert-Schultz QAP
相关	4	4
摘要	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.