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    <title>topic GWR and Jarque-Bera Statistic in Spatial Statistics Questions</title>
    <link>https://community.esri.com/t5/spatial-statistics-questions/gwr-and-jarque-bera-statistic/m-p/496961#M1572</link>
    <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;SPAN&gt;Hello All,&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;I ran OLS model before checking the variations of the relationship using GWR. The OLS model shows that Jarque-Bera value is not significant but BP value is significant. So I interpreted the OLS model need to check non-stationality by using GWR. However, there is no model biased problem. &lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;The other model shows different statistical diagnostics (please see the below). My questions is are the following: if both BP and Jarque-Bera test are significant, GWR model could reduce model bias problem? If so, how can I check this in Arcgis? &lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Thank you and hope hear soon.&lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt; &lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Number of Observations:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 254&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Number of Variables:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 5&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Degrees of Freedom:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 249&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Akaike's Information Criterion (AIC) [2]:&amp;nbsp;&amp;nbsp;&amp;nbsp; 413.695641&lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Multiple R-Squared [2]:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 0.385500&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Adjusted R-Squared [2]:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 0.375629&amp;nbsp; &lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Joint F-Statistic [3]:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 39.051951&amp;nbsp;&amp;nbsp;&amp;nbsp; Prob(&amp;gt;F), (4,249) degrees of freedom:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 0.000000* &lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Joint Wald Statistic [4]:&amp;nbsp;&amp;nbsp;&amp;nbsp; 132.866566&amp;nbsp;&amp;nbsp; Prob(&amp;gt;chi-squared), (4) degrees of freedom:&amp;nbsp; 0.000000* &lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Koenker (BP) Statistic [5]:&amp;nbsp; 42.006323&amp;nbsp;&amp;nbsp;&amp;nbsp; Prob(&amp;gt;chi-squared), (4) degrees of freedom:&amp;nbsp; 0.000000* &lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Jarque-Bera Statistic [6]:&amp;nbsp;&amp;nbsp; 20.054571&amp;nbsp;&amp;nbsp;&amp;nbsp; Prob(&amp;gt;chi-squared), (2) degrees of freedom:&amp;nbsp; 0.000044*&lt;/SPAN&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
    <pubDate>Sat, 01 Jun 2013 20:43:07 GMT</pubDate>
    <dc:creator>kyungheelee</dc:creator>
    <dc:date>2013-06-01T20:43:07Z</dc:date>
    <item>
      <title>GWR and Jarque-Bera Statistic</title>
      <link>https://community.esri.com/t5/spatial-statistics-questions/gwr-and-jarque-bera-statistic/m-p/496961#M1572</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;SPAN&gt;Hello All,&lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;I ran OLS model before checking the variations of the relationship using GWR. The OLS model shows that Jarque-Bera value is not significant but BP value is significant. So I interpreted the OLS model need to check non-stationality by using GWR. However, there is no model biased problem. &lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;The other model shows different statistical diagnostics (please see the below). My questions is are the following: if both BP and Jarque-Bera test are significant, GWR model could reduce model bias problem? If so, how can I check this in Arcgis? &lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Thank you and hope hear soon.&lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt; &lt;/SPAN&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;SPAN&gt;Number of Observations:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 254&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Number of Variables:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 5&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Degrees of Freedom:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 249&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Akaike's Information Criterion (AIC) [2]:&amp;nbsp;&amp;nbsp;&amp;nbsp; 413.695641&lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Multiple R-Squared [2]:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 0.385500&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; Adjusted R-Squared [2]:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 0.375629&amp;nbsp; &lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Joint F-Statistic [3]:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 39.051951&amp;nbsp;&amp;nbsp;&amp;nbsp; Prob(&amp;gt;F), (4,249) degrees of freedom:&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; 0.000000* &lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Joint Wald Statistic [4]:&amp;nbsp;&amp;nbsp;&amp;nbsp; 132.866566&amp;nbsp;&amp;nbsp; Prob(&amp;gt;chi-squared), (4) degrees of freedom:&amp;nbsp; 0.000000* &lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Koenker (BP) Statistic [5]:&amp;nbsp; 42.006323&amp;nbsp;&amp;nbsp;&amp;nbsp; Prob(&amp;gt;chi-squared), (4) degrees of freedom:&amp;nbsp; 0.000000* &lt;/SPAN&gt;&lt;BR /&gt;&lt;SPAN&gt;Jarque-Bera Statistic [6]:&amp;nbsp;&amp;nbsp; 20.054571&amp;nbsp;&amp;nbsp;&amp;nbsp; Prob(&amp;gt;chi-squared), (2) degrees of freedom:&amp;nbsp; 0.000044*&lt;/SPAN&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Sat, 01 Jun 2013 20:43:07 GMT</pubDate>
      <guid>https://community.esri.com/t5/spatial-statistics-questions/gwr-and-jarque-bera-statistic/m-p/496961#M1572</guid>
      <dc:creator>kyungheelee</dc:creator>
      <dc:date>2013-06-01T20:43:07Z</dc:date>
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