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| 多項ロジスティック回帰× | 空間的相互作用（重力）モデル× | |
|---|---|---|
| 分野≠ | 計量経済学 | 空間分析 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1974 | 1971 |
| 提唱者≠ | McFadden | Alan Wilson (entropy-maximizing family) |
| 種類≠ | Multinomial logistic regression | Model of flows between spatial origins and destinations |
| 原典≠ | McFadden, D. (1974). Conditional Logit Analysis of Qualitative Choice Behavior. In P. Zarembka (Ed.), Frontiers in Econometrics (pp. 105-142). Academic Press. ISBN: 978-0127761503 | Wilson, A. G. (1971). A family of spatial interaction models, and associated developments. Environment and Planning A, 3(1), 1–32. DOI ↗ |
| 別名 | multinomial logistic regression, polytomous logistic regression, softmax regression, Çok Kategorili Lojistik Regresyon | gravity model, spatial interaction model, competing destinations model, mekânsal etkileşim modeli |
| 関連≠ | 5 | 4 |
| 概要≠ | Multinomial logistic regression is a maximum-likelihood method for a nominal (unordered) dependent variable with more than two categories. Building on McFadden's 1974 treatment of qualitative choice, it gives each category its own set of coefficients relative to a reference category. | Spatial interaction models predict the volume of flows — migrants, commuters, shoppers, trade, trips — between origins and destinations as a function of the size of each place and the distance or cost separating them. By analogy to Newton's gravity, interaction rises with the 'mass' of origin and destination and falls with separation, and Wilson's 1971 entropy-maximizing family put these models on a rigorous footing for transport, migration, and retail analysis. |
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