[Openspace] Diagnostics for Heteroskedasticity and Spatial dependence

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U want to ask two questions,thanks a lot.

1. DIAGNOSTICS FOR HETEROSKEDASTICITY 
Breusch-Pagan test   Can you tell the technique detail of the formal expressions?
Koenker-Bassett test (new for GeoDa )  what is difference from the previous test?


2.DIAGNOSTICS FOR SPATIAL DEPENDENCE 
FOR WEIGHT MATRIX : queen.GAL  (row-standardized weights)
TEST                          MI/DF      VALUE          PROB 
Moran's I (error)           0.249862     2.9376173      0.0033076
Lagrange Multiplier (lag)       1        8.7599071      0.0030792
Robust LM (lag)                 1        3.0721737      0.0796429
Lagrange Multiplier (error)     1        5.8148799      0.0158911
Robust LM (error)               1        0.1271465      0.7214092
Lagrange Multiplier (SARMA)     2        8.8870536      0.0117544

what is the difference between the Lagrange Multiplier (lag) with the Robust LM (lag)  

the Prob of  Lagrange Multiplier (error) is very low(0.0158911),but
the prob of Robust LM (error) is high(0.7214092) . What is the meaning?

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