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Multilevel modelling and time series analysis in ... - ERSO - Swov

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Chapter 2These results are <strong>in</strong>tuitive (i.e. an <strong>in</strong>crease <strong>in</strong> speed<strong>in</strong>g <strong>and</strong> dr<strong>in</strong>k<strong>in</strong>g-<strong>and</strong>-driv<strong>in</strong>gcontrols results <strong>in</strong> a reduction of road accidents). In the next section, we will seehow this effect may vary when add<strong>in</strong>g more structure to the data.2.3.4.2. A two-level Poisson modelWe will now fit a two-level model, <strong>in</strong> order to <strong>in</strong>vestigate the regional variation ofthe effect of enforcement on the number of road accidents. We shall start withthe r<strong>and</strong>om <strong>in</strong>tercept model:▪ Remove the terms alcohol <strong>and</strong> speed from the model.▪ Click on accs <strong>in</strong> the Equations w<strong>in</strong>dow, select j-2 from the N levels: dropdown list <strong>and</strong> region from the level 2(j) drop down list, <strong>and</strong> click Done.▪ Click on the variable cons <strong>in</strong> the Equations w<strong>in</strong>dow <strong>and</strong> set cons to ber<strong>and</strong>om at the j(region) level.As there are only 12 regions at the higher level, it is recommended to use theRIGLS estimation method, which provides less biased estimates of the variancethan the IGLS when there is limited number of higher level units.▪ Select RIGLS from the Estimation menu of the ma<strong>in</strong> w<strong>in</strong>dow▪ Click the Start button on the toolbar of the ma<strong>in</strong> w<strong>in</strong>dow to run the model.The results are as follows:

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