Dear Statalisters,

I am running an ivreg2 estimation. I am not too sure on how to interpret these results, I will appreciate a pointer to some readings as I am getting conflicting ways of interpreting them when I google.
For instance, The joint null hypothesis is that the instruments are valid instruments, i.e., uncorrelated with the error term, and that the excluded instruments are correctly excluded from the estimated equation. Does this mean from my results, I do not reject the null, hence the instruments are valid instruments



Code:
Underidentification test (Kleibergen-Paap rk LM statistic):            105.015
                                                   Chi-sq(2) P-val =    0.0000
------------------------------------------------------------------------------
Weak identification test (Cragg-Donald Wald F statistic):             2410.314
                         (Kleibergen-Paap rk Wald F statistic):       1330.392
Stock-Yogo weak ID test critical values: 10% maximal IV size             19.93
                                         15% maximal IV size             11.59
                                         20% maximal IV size              8.75
                                         25% maximal IV size              7.25
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for Cragg-Donald F statistic and i.i.d. errors.
------------------------------------------------------------------------------
Hansen J statistic (overidentification test of all instruments):         0.641
                                                   Chi-sq(1) P-val =    0.4232