方法对比
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| Bayesian Regression× | 验证性因子分析 (CFA)× | 潜增长曲线模型 (LGC)× | |
|---|---|---|---|
| 领域≠ | 贝叶斯 | 统计学 | 统计学 |
| 方法族≠ | Bayesian methods | Latent structure | Latent structure |
| 起源年份≠ | — | 1969 | 1990 |
| 提出者≠ | — | Karl Jöreskog | Meredith & Tisak |
| 类型≠ | Bayesian linear model | Confirmatory latent variable model | Latent variable / longitudinal growth model |
| 开创性文献≠ | Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955 | Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363 | Meredith, W. & Tisak, J. (1990). Latent Curve Analysis. Psychometrika, 55(1), 107–122. DOI ↗ |
| 别名≠ | bayesian linear regression, probabilistic regression, bayesian regresyon | Doğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement model | latent growth model, LGC, growth curve model, Gizil Büyüme Eğrisi Modeli |
| 相关≠ | 2 | 4 | 5 |
| 摘要≠ | Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off. | Confirmatory factor analysis tests whether a researcher-specified factor structure fits the observed data. Formalised by Karl Jöreskog in 1969, it is the measurement-model step within structural equation modelling and is the standard tool for validating the factorial structure of scales and questionnaires before comparing groups or estimating latent relationships. | The latent growth curve model is a structural equation modelling approach introduced by Meredith and Tisak (1990) for analysing change over time. It treats each individual's starting point (intercept) and rate of change (slope) as latent variables, simultaneously estimating the average trajectory across the sample and the extent to which individuals differ in their own trajectories. |
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