Table 4 The LM, Robust LM,wald and LR tests.

From: Impact of urban vitality on carbon emission—an analysis of 222 Chinese cities based on the spatial Durbin model

Test

P-value

Test

P-value

LM (error) test

251.767*** (0.000)

LR (sdm sar) test

26.05*** (0.0001)

Robust LM (error) test

345.731*** (0.000)

LR (sdm sem) test

24.98*** (0.0001)

LM (lag) test

11.245*** (0.001)

Wald spatial lag test

26.10*** (0.0001)

Robust LM (lag) test

105.209*** (0.000)

Wald spatial error test

24.84*** (0.0001)

Hausman test

11.62* (0.0404)

  1. *** and * indicates significance at the 1% and 10% levels, respectively.