Hello everyone,

I am using Oaxaca decomposition for my graduation project, where the subject is wage differences between gender, with some focus on difference between the public and private sectors. I first applied the decomposition method on wages in general to obtain the gender wage gap between genders. Later on, I have applied the threefold decomposition method for hourly wages in both public and private sectors to obtain a wage gap there. However, as can be observed in table below, in few of the years the "difference" and the "Interaction" has high p-values. What does this high value mean? Can I still make inferences about the gap? I can't find any sources that would discuss the p-values or their significance to the decomposition.

Public Sector
Variable 2002 2004 2006 2008 2010 2012 2014 2016
Men 2.12711***
(0.000)		 2.127855***
(0.000)		 2.28916***
(0.000)		 2.326609***
(0.000)		 2.372711***
(0.000)		 2.389001***
(0.000)		 2.432239***
(0.000)		 2.41235***
(0.000)
Women 2.09901***
(0.000)		 2.194716***
(0.000)		 2.268984***
(0.000)		 2.286633***
(0.000)		 2.299852***
(0.000)		 2.352422***
(0.000)		 2.38888***
(0.000)		 2.38355***
(0.000)
Difference 0.0281001
(0.284)		 0.023138
(0.334)		 0.020176
(0.491)		 0.0399769*
(0.099)		 0.0728577***
(0.003)		 0.0365788
(0.162)		 0.0433593*
(0.101)		 0.0287993
(0.368)
endowments -0.0390629**
(0.047)		 -0.0267182*
(0.091)		 -0.0492973**
(0.018)		 -0.0390105**
(0.023)		 -0.0403396**
(0.019)		 -0.0499241 ***
(0.009)		 -0.0683397***
(0.000)		 -0.0665778***
(0.003)
Coefficients 0.0749937***
(0.003)		 0.0551021**
(0.029)		 0.0830066***
(0.007)		 0.06765505***
(0.006)		 0.0802848***
(0.000)		 0.0840823***
(0.000)		 0.1038778***
(0.000)		 0.0852044***
(0.003)
Interaction -0.0078307
(0.670)		 -0.0052451
(0.774)		 -0.0135333
(0.554)		 0.0113369
(0.527)		 0.0329124**
(0.021)		 0.0024205
(0.888)		 0.0078212
(0.646)		 0.0101728
(0.597)
Explained -0.0379897**
(0.025)		 -0.0302732*
(0.054)		 -0.0611286***
(0.000)		 -0.0372746**
(0.019)		 -0.0188726
(0.241)		 -0.0442742**
(0.013)		 -0.0646111***
(0.000)		 -0.0712211***
(0.001)
Unexplained 0.0660897***
(0.003)		 0.053412**
(0.016)		 0.0813046***
(0.003)		 0.0772514***
(0.000)		 0.0917303***
(0.000)		 0.080853***
(0.000)		 0.1079705***
(0.000)		 0.1000204***
(0.000)
Number of obs 1565 1458 1316 1609 1559 1386 1027 706
All help will be greatly appreciated. Thank you.