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Advice on interpreting interactions in ols regression

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Dear Statalisters,

I am trying to examine the association between household wealth and expenditure on education of children aged 11-17 and 5-10 in a developing country using the following equation. In particular, I am trying to find out, using interactions, whether there is a gender bias in education expenditure when households become wealthier.

educexp = β0 + β1hhwealth+ β2 femalechild+ β3 hhwealth*femalechild + εij

The following results are obtained using Stata’s regress command.

Code:

regress educexp hhwealth fem hhwealth_fem `xlist' 
 
//edu=amount spent on education, hhwealth=wealth score for household (ranges from 0 to 1), hhwealth_fem =interaction, fem=1 if child is female, ‘xlist’=other controls
 
 
test hhwealth + hhwealth_fem = 0 //tests for the total coef of education expenditure for girls */   
 
 
 
//Model 1, OLS results for children aged 11-17
 
                                                      Number of obs =     1389
                                                      F( 25,  7363) =    58.37
                                                      Prob > F      =   0.0000
Total (centered) SS     =   11017.3301                Centered R2   =   0.0860
Total (uncentered) SS   =  137816.5819                Uncentered R2 =   0.9269
Residual SS             =  10069.54863                Root MSE      =    1.167
 
---------------------------------------------------------------------------------
                |               Robust
     educexp    |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
       hhwealth |   2.610727   .6607312     3.95   0.000    -3.905736   -1.315718
hhwealth_fem    |   .2575813   .9501439     0.27   0.786    -1.604667    2.119829
 
 
 
( 1)  hhwealth + hhwealth_fem = 0
 
           chi2(  1) =   10.18
         Prob > chi2 =    0.0014
 
 
 
//Model 2, OLS results for children aged 5-10
 
                                                      Number of obs =     1753
                                                      F( 28,  1724) =    14.43
                                                      Prob > F      =   0.0000
Total (centered) SS     =  2545.653304                Centered R2   =   0.0506
Total (uncentered) SS   =  33414.29053                Uncentered R2 =   0.9277
Residual SS             =  2416.963353                Root MSE      =    1.174
 
---------------------------------------------------------------------------------
                |               Robust
     educexp    |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
      hhwealth  |    2.29354   .3376879     4.30   0.000    -4.846931    .2598504
   hhwealth_fem |  -.3177346   1.802572    -0.18   0.860    -3.850712    3.215242
 
 
 
( 1)  hhwealth + hhwealth_fem = 0
 
           chi2(  1) =   10.18
         Prob > chi2 =    0.2014
 
 
How do I interpret the results above? Is it correct to say that the results in Model 1 suggest that household wealth is significantly associated with in an increase in educational expenditure for both boys and girls in the older age group? And Model 2 shows that increasing household wealth is significantly associated with an increase in educational expenditure for only boys aged 5-10, thus suggesting a possible gender bias?

Thanks in advance!

Monzur

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