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| MRQAP Network Regression× | Quadratic Assignment Procedure× | |
|---|---|---|
| Област | Sociology | Sociology |
| Семейство≠ | Regression model | Process / pipeline |
| Година на възникване≠ | 1988 (MRQAP); 2007 (double-semipartialing test) | 1976 (QAP); 1988 (network application) |
| Създател≠ | David Krackhardt; David Dekker, David Krackhardt & Tom Snijders | Lawrence Hubert & James Schultz; David Krackhardt |
| Тип≠ | Permutation-based multiple regression for dyadic (matrix) outcomes | Permutation-based test of association between two matrices |
| Основополагащ източник | Krackhardt, D. (1988). Predicting with networks: Nonparametric multiple regression analysis of dyadic data. Social Networks, 10(4), 359–381. DOI ↗ | Krackhardt, D. (1988). Predicting with networks: Nonparametric multiple regression analysis of dyadic data. Social Networks, 10(4), 359–381. DOI ↗ |
| Други названия | MRQAP, multiple regression QAP, Dekker double-semipartialing, QAP regression | QAP correlation, QAP permutation test, matrix permutation test, Hubert-Schultz QAP |
| Свързани | 4 | 4 |
| Резюме≠ | 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. |
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