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| Fourier-Fixed-Effects-Modell× | Panel-Fixed-Effekte-Modell× | |
|---|---|---|
| Fachgebiet | Ökonometrie | Ökonometrie |
| Familie | Regression model | Regression model |
| Entstehungsjahr≠ | 2006–2012 | 1978 |
| Urheber≠ | Enders & Lee (building on Becker, Enders & Lee framework) | Mundlak (1978); classical treatment in Wooldridge (2010) and Baltagi (2021) |
| Typ≠ | Panel regression with Fourier terms | Panel regression estimator |
| Wegweisende Quelle≠ | Enders, W., & Lee, J. (2012). A unit root test using a Fourier series to approximate smooth breaks. Oxford Bulletin of Economics and Statistics, 74(4), 574–599. DOI ↗ | Wooldridge, J. M. (2010). Econometric Analysis of Cross Section and Panel Data (2nd ed.). MIT Press. ISBN: 978-0262232586 |
| Aliasnamen | Fourier FE model, Fourier panel fixed effects, trigonometric fixed effects regression, smooth structural break fixed effects | within estimator, FE model, within-group estimator, LSDV model |
| Verwandt≠ | 6 | 5 |
| Zusammenfassung≠ | The Fourier fixed effects model extends standard panel fixed effects regression by augmenting the specification with low-frequency Fourier (trigonometric) terms. These sine and cosine components approximate unknown, smooth structural shifts in the time trend without requiring the researcher to pre-specify break dates, combining within-unit identification with flexible trend modelling. | The panel fixed effects (FE) model controls for all time-invariant, unit-specific unobserved heterogeneity by absorbing it into individual intercepts. By sweeping out unit means through the within transformation, FE yields unbiased estimates of the effect of time-varying regressors even when omitted unit-level confounders are correlated with those regressors. |
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