Question

Carry out a test for equality of the parameters in the sleep equation for men and women using both the following approaches: (a) a Chow test based on separate regressions for males and females and a pooled regression; (b) a test that adds male and a set of interaction terms (malextotwrk, malexyngkid) to (2) and uses the full set of observations What do you conclude from your results? (20 marks) . reg sleep totwrk educ age agesq male spwrk75 gdhlth yngkid 706 12.43 Source l df Number of obs MS E(8, 697) 8 2172367.6 Prob >F 17378940.8 Model 0.0000 Residual 121860895 69.174836.291 R-squared Aan R-squared 0.1248 0.1148 + = Total 139239836 705 197503.313 Root MSE 418.13 sleep I [95% Conf. Interval] Coef Std. Err. -.1261316 1.914721 15.92512 totwrk |-.1619798.0182585 educ I-9.94024 6.038058 8.87 0.000 197828 1.65 0.100 21.7952 age -6.56386 11.45426 agesal .1018873 .1362899 male 87.96615 34.94117 spwrk75 -2.013155 32.29968 gdhlth 67.5064753.16552 yngkid .0610275 50.31112 0.57 0.567 -29.05284 0.75 0.455 - .1657008 .3694753 2.52 0.012 19.3636 156.5687 61.40318 -0.060.950 -65.42949 1.27 0.205 0.00 0.999 171.8902 36.8773 98.84055 -98.71849 cons 3836.711240.052 15.98 0.000 3365.4 4308.023

Answer 1

from the given regression analysis information following interpretation can be made as per your querry.

here p-value=0.012 of the variable male is less than typical level of significance alpha=0.05, so male is significant variable to model the response variable sleep.