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  • Endogeneity 2SLS

    Hi there,

    I have to report on the difference in estimates of 2SLS and OLS (same model) and the endogeneity of the variable of interest.

    I have region-aggregate balanced panel data with N=22 and T=16

    When using an LSDV specification, The coefficients are quite different and with -estat endogenous- I get evidence for endogeneity. However, when using a FD model, the coefficients are almost identical and -estat endogenous- gives no evidence for endogeneity.

    How could this be? Also, what specification should I look at?


    Below I've recreated my steps with the dataset nlswork to demonstrate my steps. The variable of interest is the LDV. The variables don't make any sense with this dataset, but it's just to show my thought process. I've had to replicate results from a paper, and the 2SLS estimates are identical to those in the paper, so I assume my commands are correct. (Also, the researcher preferred using the FD model and used 2SLS for his results).


    Thank you in advance (:

    Code:
    clear all
    webuse nlswork
    xtset idcode year
    bys idcode: egen count = count(_N)
    keep if count==15
    keep if inrange(year,68,73)
    egen id = group(idcode)
    xtset id year
    keep if id<11
    
    bys id: generate lagln_wage = ln_wage[_n-1]
    bys id: generate laghours = hours[_n-1]
    
    
    *2SlS
    ivregress 2sls ln_wage (lagln_wage = laghours) hours tenure i.id year, small
    estat endogenous
    
    ivregress 2sls d.ln_wage (d.lagln_wage = d.laghours) d.hours d.tenure, small
    estat endogenous
    
    *OLS
    regress ln_wage lagln_wage hours tenure i.id year
    regress d.ln_wage d.lagln_wage d.hours d.tenure

  • #2
    I do not think that there are any standard results in the literature, immediately explaining what and why is happening here. It will be a gazing at clouds exercise.

    The basic known results on first difference vs within transformation are discussed in this thread here: https://www.statalist.org/forums/for...rst-difference

    You might want to show your actual results with your actual data.

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