方法对比
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| 逻辑回归× | 负二项回归× | 分位数回归× | |
|---|---|---|---|
| 领域≠ | 研究统计学 | 计量经济学 | 计量经济学 |
| 方法族≠ | Process / pipeline | Regression model | Regression model |
| 起源年份≠ | 1958 | 2011 | 1978 |
| 提出者≠ | David Roxbee Cox | Hilbe (textbook treatment); generalized linear model framework | Koenker & Bassett |
| 类型≠ | Method | Generalized linear model for count data | Conditional quantile regression |
| 开创性文献≠ | Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗ | Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press. DOI ↗ | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ |
| 别名 | logit model, binomial logistic regression, LR | NB regression, NB2 regression, negatif binom regresyonu | conditional quantile regression, regression quantiles, Kantil Regresyon |
| 相关≠ | 3 | 4 | 5 |
| 摘要≠ | Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science. | Negative Binomial Regression is a generalized linear model for count outcomes that extends Poisson regression to handle overdispersion, where the variance of the counts exceeds their mean. Developed in the GLM tradition and treated in depth by Hilbe (2011), it adds a dispersion parameter so that inference stays valid when Poisson would understate the spread of the data. | Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails. |
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