solution to problem set2

solution to problem set2 - Eco 572 Research methods in...

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Unformatted text preview: Eco 572: Research methods in Demography Solutions to Problem Set 2 [1] U.S. Mortality (a) Calculate age-specific period mortality rates for 1992 for blacks and whites . insheet using http://data.princeton.edu/eco572/datasets/us1992a.dat (5 vars, 19 obs) . gen mw = deathsw/expow . gen mb = deathsb/expob . list age mw mb +--------------------------+ | age mw mb | |--------------------------| 1. | 0 .007809 .019579 | 2. | 1 .000426 .000776 | 3. | 5 .000213 .000375 | 4. | 10 .000282 .000449 | 5. | 15 .00106 .002184 | |--------------------------| 6. | 20 .001354 .00321 | 7. | 25 .001533 .003617 | 8. | 30 .001958 .004644 | 9. | 35 .002455 .006096 | 10. | 40 .003122 .008032 | |--------------------------| 11. | 45 .004325 .010657 | 12. | 50 .006634 .014193 | 13. | 55 .010715 .021036 | 14. | 60 .017297 .029243 | 15. | 65 .026885 .040291 | |--------------------------| 16. | 70 .040124 .0572491 | 17. | 75 .061488 .07502 | 18. | 80 .097005 .1096976 | 19. | 85 .179562 .1671715 | +--------------------------+ (b) Plot the rates against age on a log scale. Exclude the last group, which is actually 85+. . gen agem = (age+age[_n+1])/2 // excludes 85+ (1 missing value generated) . line mw mb agem, title(U.S. Males 1992) /// > yscale(log) ytitle(asmr) xtitle(age) /// > legend(order(1 "White" 2 "Black") ring(0) pos(5) cols(1)) http://data.princeton.edu/eco572/ps2sol.html (1 of 14) [2/11/2008 2:16:28 PM] Eco 572: Research methods in Demography . graph export ps2fig1.png, replace (file ps2fig1.png written in PNG format) (c) Fit a Gompertz model over an appropriate age range. Seems clear that black mortality rates are Gompertz over a wider range than those for whites, which seeem to show a change of slope around age 50. To avoid biases I decided to start at 40-44. To simplify interpretation of the intercept I subtract 40 from age. (You could plot the fits but this was not required.) . gen lmw=log(mw) . gen lmb=log(mb) . gen lb40 = agem-40 (1 missing value generated) . reg lmw lb40 if age >= 40 Source | SS df MS Number of obs = 9-------------+------------------------------ F( 1, 7) = 6841.82 Model | 11.4650463 1 11.4650463 Prob > F = 0.0000 Residual | .011730118 7 .001675731 R-squared = 0.9990-------------+------------------------------ Adj R-squared = 0.9988 Total | 11.4767764 8 1.43459705 Root MSE = .04094 http://data.princeton.edu/eco572/ps2sol.html (2 of 14) [2/11/2008 2:16:28 PM] Eco 572: Research methods in Demography------------------------------------------------------------------------------ lmw | Coef. Std. Err. t P>|t| [95% Conf. Interval]-------------+---------------------------------------------------------------- lb40 | .0874263 .001057 82.72 0.000 .084927 .0899256 _cons | -6.053246 .0274181 -220.78 0.000 -6.118079 -5.988412------------------------------------------------------------------------------ . di exp(_b[_cons]) ", " exp(_b[lb40]) .00235022, 1.0913619 . reg lmb lb40 if age >= 40 Source | SS df MS Number of obs = 9-------------+------------------------------...
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This homework help was uploaded on 02/12/2008 for the course ECON 572 taught by Professor Rodriguez during the Spring '06 term at Princeton.

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solution to problem set2 - Eco 572 Research methods in...

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