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  • margins ar.variable VS contrast ar.variable, effects

    After running xtreg on a model with a continuous dependent variable, I want to test the differences between levels of the intervention treatment. What is the difference between running margins VS contrast?

    I see the first uses a chi test and the second uses an F test. The only real difference in results is the p-value for the comparison of level 2 vs 1 in the first is .0733, while it is .08 in the second.

    Which command should I use? In this case, there is little difference, but could there be a case where the p-value difference between the two is substantial for interpretation?

    Code:
    .         margins ar.interven123
    Contrasts of predictive margins
    Model VCE    : Robust
    Expression   : Linear prediction, predict()
    
                        df         chi2     P>chi2
    interven123 
    (1 vs 0)            1        0.02     0.8963
    (2 vs 1)            1        3.21     0.0733
    (3 vs 2)            1       12.00     0.0005
    Joint               3       17.54     0.0005
    
    
    
    Delta-method
                    Contrast   Std. Err.     [95% Conf. Interval]
    interven123 
    (1 vs 0)    -1735.885   13315.37     -27833.52    24361.75
    (2 vs 1)        37908   21165.87      -3576.35    79392.35
    (3 vs 2)    -21796.77     6293.4      -34131.6   -9461.928
    
    
    .         contrast ar.interven123, effects
    
    Contrasts of marginal linear predictions
    Margins      : asbalanced
    
                         df          F        P>F
    interven123 
    (1 vs 0)            1        0.02     0.8969
    (2 vs 1)            1        3.21     0.0802
    (3 vs 2)            1       12.00     0.0012
    Joint               3        5.85     0.0019
    
    Denominator          44
       
                  Contrast   Std. Err.      t    P>t     [95% Conf.    Interval]
        
    interven123 
    (1 vs 0)    -1735.885   13315.37    -0.13   0.897    -28571.24    25099.47
    (2 vs 1)        37908   21165.87     1.79   0.080    -4749.015    80565.01
    (3 vs 2)    -21796.77     6293.4    -3.46   0.001    -34480.28    -9113.251
        
    
    . 
    end of do-file
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