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    <title>topic GWR for Prediction in Spatial Statistics Questions</title>
    <link>https://community.esri.com/t5/spatial-statistics-questions/gwr-for-prediction/m-p/105674#M398</link>
    <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;SPAN&gt;Hi,&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;I have a GWR model with good r2 and AICC. I've tried as far as possible to remove co-linearity from the model, the explanatories for which were selected first by longitudinal MLR of the aggregated data (to avoid spatial auto-correllation), and afew more weeded out through OLS. I know there is still some spatial co-linearity there but as the explanatories vary in significance over space none of the remaining parameters may be considered redundant to the global model.&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;I would like now to predict the dependent variable's map for new scenarious by plugging in different parameter values to one or more of the co-efficients, just as one might in MLR (I appreciate that for GWR this relies on the substantial assumption that the co-efficients will be stable over time accross space).&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;But I'm concerned that local co-linearity may be inflating the effect in some locations for some parameters. &lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Any suggests as to how to model this? Is it legitmate in GWR to attempt to look at the effect of idividual variables in this way?&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Thanks,&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Neil&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;p.s. The data is already normalised to a percentage change from each variables mean (i.e. the regression is built on the variance not the absolute values).&lt;/SPAN&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
    <pubDate>Thu, 29 Mar 2012 08:58:37 GMT</pubDate>
    <dc:creator>NeilSang</dc:creator>
    <dc:date>2012-03-29T08:58:37Z</dc:date>
    <item>
      <title>GWR for Prediction</title>
      <link>https://community.esri.com/t5/spatial-statistics-questions/gwr-for-prediction/m-p/105674#M398</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;SPAN&gt;Hi,&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;I have a GWR model with good r2 and AICC. I've tried as far as possible to remove co-linearity from the model, the explanatories for which were selected first by longitudinal MLR of the aggregated data (to avoid spatial auto-correllation), and afew more weeded out through OLS. I know there is still some spatial co-linearity there but as the explanatories vary in significance over space none of the remaining parameters may be considered redundant to the global model.&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;I would like now to predict the dependent variable's map for new scenarious by plugging in different parameter values to one or more of the co-efficients, just as one might in MLR (I appreciate that for GWR this relies on the substantial assumption that the co-efficients will be stable over time accross space).&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;But I'm concerned that local co-linearity may be inflating the effect in some locations for some parameters. &lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Any suggests as to how to model this? Is it legitmate in GWR to attempt to look at the effect of idividual variables in this way?&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Thanks,&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Neil&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;p.s. The data is already normalised to a percentage change from each variables mean (i.e. the regression is built on the variance not the absolute values).&lt;/SPAN&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Thu, 29 Mar 2012 08:58:37 GMT</pubDate>
      <guid>https://community.esri.com/t5/spatial-statistics-questions/gwr-for-prediction/m-p/105674#M398</guid>
      <dc:creator>NeilSang</dc:creator>
      <dc:date>2012-03-29T08:58:37Z</dc:date>
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