3: Effects of ignoring spatial effects when present Low spatial lag- Low spatial drift Low spatial lag-High spatial High spatial lag- Low spatial drift High spatial lag- High spatial Evaluation Metric GS NSL NSD GS NSL NSD GS NSL NSD GS NSL NSD Model Model Model Model Model Model Model Model Mean APB For comparison of GS with the no-spatial 1.23 2.88 - 5.50 7.89 - 0.80 41.93 - 6.24 44.21 - lag (NSL) model For comparison of GS model with the 1.50 - 3.03 4.58 - 6.66 0.99 - 2.36 3.05 - 3.72 drift (NSD) model Mean composite log-likelihood -19,711 -20,047 -19,946 -19,768 -19,997 -19,914 -11,535 -21,590 -11,735 -11,694 -21,915 -11,929 value at convergence Number of All twenty All twenty All twenty All twenty All twenty All twenty All twenty All twenty the adjusted times when when times when when when times when times when times when composite compared compared compared compared compared compared compared compared with likelihood ratio with value with value with value with value with value with value with value value (mean - - - - test (ADCLRT) (mean (mean (mean (mean (mean (mean (mean ADCLRT statistic favors ADCLRT ADCLRT ADCLRT ADCLRT ADCLRT ADCLRT ADCLRT statistic is statistic is statistic is statistic is statistic is statistic is statistic is statistic is the ORSH 127.03) model 166.49) 135.63) 109.96) 267.76) 118.10) 287.62) 166.80)
3: Effects of ignoring spatial effects when present Evaluation Metric Low spatial lag- Low spatial drift Low spatial lag-High spatial High spatial lag- Low spatial drift High spatial lag- High spatial GS NSL Model NSD Model GS NSL Model NSD Model GS Model NSL NSD Model GS Model NSL NSD Model Mean APB For comparison of GS with the no-spatial lag (NSL) model 1.23 2.88 - 5.50 7.89 - 0.80 41.93 - 6.24 44.21 - For comparison of GS model with the drift (NSD) model 1.50 - 3.03 4.58 - 6.66 0.99 - 2.36 3.05 - 3.72 Mean composite log-likelihood value at convergence -19,711 -20,047 -19,946 -19,768 -19,997 -19,914 -11,535 -21,590 -11,735 -11,694 -21,915 -11,929 Number of the adjusted composite likelihood ratio test (ADCLRT) statistic favors the ORSH model - All twenty times when compared with value (mean ADCLRT statistic is 166.49) All twenty when compared with value (mean ADCLRT statistic is 135.63) - All twenty times when compared with value (mean ADCLRT statistic is 127.03) All twenty times when compared with value (mean ADCLRT statistic is 109.96) - All twenty when compared with value (mean ADCLRT statistic is 267.76) All twenty when compared with value (mean ADCLRT statistic is 118.10) - All twenty times when compared with value (mean ADCLRT statistic is 287.62) All twenty times when compared with value (mean ADCLRT statistic is 166.80)
Spatial_drift.docx