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| 공간 상호작용 (중력) 모형× | 다항 로지스틱 회귀× | 포아송 및 음이항 회귀분석× | |
|---|---|---|---|
| 분야≠ | 공간분석 | 계량경제학 | 계량경제학 |
| 계열 | Regression model | Regression model | Regression model |
| 기원 연도≠ | 1971 | 1974 | 1998 |
| 창시자≠ | Alan Wilson (entropy-maximizing family) | McFadden | Cameron & Trivedi (textbook treatment); Hilbe (negative binomial) |
| 유형≠ | Model of flows between spatial origins and destinations | Multinomial logistic regression | Generalized linear model for count data |
| 원전≠ | Wilson, A. G. (1971). A family of spatial interaction models, and associated developments. Environment and Planning A, 3(1), 1–32. DOI ↗ | 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 | Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗ |
| 별칭 | gravity model, spatial interaction model, competing destinations model, mekânsal etkileşim modeli | multinomial logistic regression, polytomous logistic regression, softmax regression, Çok Kategorili Lojistik Regresyon | count regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon |
| 관련≠ | 4 | 5 | 4 |
| 요약≠ | 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. | 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. | Poisson regression is a generalized linear model for count outcomes — events tallied as non-negative integers such as hospital admissions, accidents, or article counts. It models the log of the expected count as a linear function of the predictors, and is developed in the standard count-data treatment of Cameron and Trivedi (1998); when the counts are over-dispersed, the closely related negative binomial model (Hilbe, 2011) is preferred. |
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