File:RE-OLS.png

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RE-OLS.png (613 × 445 pixels, file size: 15 KB, MIME type: image/png)

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English: Comparison between the Ordinary Least Squares (OLS) and the Random Effects (RE) estimator in a situation where the assumptions of the Random Effects model hold. Using Stata, I created an artificial panel data set of 2 time periods and 1000 observations that satisfies the RE assumptions, simulated 1000 OLS and Random Effects estimations and plotted an estimate of the density functions of the two estimators. As can be seen, both distributions are centered around the true underlying parameter value 5, but the distribution of the RE estimator varies less. The graph and all simulations were created with Stata 10.
Deutsch: Vergleich zwischen einer Kleinste-Quadrate-Schätzung und dem Random-Effects-Schätzer in einer Situation, in der die Annahmen des Random-Effects-Modells gelten. Ich benutzte Stata, um ein künstliches Paneldatenset mit 1000 Beobachtungen und 2 Zeitperioden zu kreieren und simulierte dann 1000 Kleinste-Quadrat- und RE-Schätzungen. Anschließend wurde eine Schätzung der Dichtefunktionen der beiden Schätzer geplottet. Wie zu erkennen ist, sind beide Verteilungen um den wahren zugrundeliegenden Parameterwert von 5 gruppiert, der RE-Schätzer variiert jedoch deutlich weniger um diesen Wert herum als der OLS-Schätzer. Die Grafik und alle Simulationen wurden mit Stata 10 erstellt.
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SEM

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current11:07, 27 December 2011Thumbnail for version as of 11:07, 27 December 2011613 × 445 (15 KB)SEM (talk | contribs){{Information |Description ={{en|1=Comparison between the Ordinary Least Squares (OLS) and the Random Effects (RE) estimator in a situation, where the assumptions of the Random Effects model hold. Using Stata, I created an artificial panel

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