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Econometric flexibility in microsimulation: An age-centred regression approach

  1. John Sabelhaus  Is a corresponding author
  2. Lina Walker
  1. University of Maryland, United States
  2. Investment Company Institute, United States
  3. Public Policy Institute, AARP, United States
Research article
Cite this article as: J. Sabelhaus, L. Walker; 2009; Econometric flexibility in microsimulation: An age-centred regression approach; International Journal of Microsimulation; 2(2); 1-14. doi: 10.34196/ijm.00013
4 figures and 3 tables

Figures

Marginal effect of lagged LFP on labour force participation comparing single-equation and age-centred regressions men and women, ages 25–61.
Marginal effect of being married on part-time hours worked comparing single-equation and age-centred regressions men and women, ages 25–61.
Mean predicted labour force participation comparing single-equation and age-centred regressions men and women, ages 25–61.
Mean expected part-time hours comparing single-equation and age-centred regressions men and women, ages 25–61.

Tables

Table 1
Regression results using single equation with linear age term, men and women.
  Men Women
Covariate Pr(LFP = 1) Pr(FT = 1) PT Hours Pr(LFP = 1) Pr(FT = 1) PT Hours
Lagged Labour Force Participation 4.082     4.361    
(0.012)**     (0.008)**    
Married 0.166 0.822 0.236 −0.525 −0.708 −0.371
(0.012)** (0.009)** (0.015)** (0.009)** (0.006)** (0.010)**
Age of Person −0.021 −0.002 −0.011 −0.004 0.012 0.013
(0.001)** (0.001)** (0.001)** (0.001)** (0.000)** (0.001)**
Receiving Social Security Income −2.081 −2.243 −1.218 −1.085 −1.110 −0.606
(0.026)** (0.035)** (0.042)** (0.020)** (0.022)** (0.025)**
High School Education 0.111 0.552 0.111 0.398 0.299 0.101
(0.015)** (0.012)** (0.019)** (0.011)** (0.009)** (0.012)**
Some College Education −0.049 0.491 −0.074 0.482 0.325 0.093
(0.017)** (0.013)** (0.022)** (0.013)** (0.010)** (0.014)**
College Education 0.241 0.646 −0.116 0.637 0.490 0.071
(0.016)** (0.013)** (0.021)** (0.013)** (0.010)** (0.014)**
Number of Children Under 6 Years       −0.481 −0.516 −0.299
      (0.008)** (0.006)** (0.007)**
Birth Year: 1920–1929 0.208 0.129 0.074 0.175 0.078 0.055
(0.042)** (0.041)** (0.066) (0.032)** (0.033)* (0.045)
Birth Year: 1930–1939 0.376 0.202 0.073 0.422 0.157 0.185
(0.041)** (0.041)** (0.064) (0.032)** (0.033)** (0.044)**
Birth Year: 1940–1949 0.392 0.331 0.178 0.64 0.347 0.337
(0.042)** (0.042)** (0.065)** (0.032)** (0.033)** (0.044)**
Birth Year: 1950–1959 0.341 0.293 0.151 0.831 0.543 0.547
(0.043)** (0.042)** (0.068)* (0.034)** (0.033)** (0.045)**
Birth Year: 1960–1969 0.147 0.266 0.068 0.863 0.700 0.660
(0.046)** (0.044)** (0.070) (0.035)** (0.034)** (0.046)**
Birth Year: 1970–1979 −0.001 0.115 0.002 0.744 0.732 0.711
(0.052) (0.047)* (0.074) (0.040)** (0.036)** (0.049)**
Constant −0.443 1.125   −2.169 0.152  
(0.063)** (0.056)**   (0.048)** (0.041)**  
Observations 1,034,541 9,44,231 86,049 1,113,085 7,82,972 2,54,685
  1. Notes: (i) Models denoted by Pr(LFP = 1) – labour force participation; Pr(FT = 1) –full-time or part-time work; PT Hours –part-time hours for those working part-time. (ii) Robust standard errors italicised and in parentheses.

  2. *

    significant at 5%.

  3. **

    significant at 1%.

Table 2a
Regression results using age centring, men ages 30 and 55.
  Men, Age 30 Men, Age 55
Covariate Pr(LFP = 1) Pr(FT = 1) PT Hours Pr(LFP = 1) Pr(FT = 1) PT Hours
Lagged Labour Force Participation 3.451     4.594    
(0.022)**     (0.025)**    
Married −0.043 0.793 0.226 0.335 0.562 0.091
(0.018)* (0.014)** (0.024)** (0.028)** (0.022)** (0.036)*
Age of Person 0.046 0.064 0.028 −0.123 −0.089 −0.062
(0.004)** (0.003)** (0.005)** (0.005)** (0.004)** (0.006)**
Receiving Social Security Income −1.687 −1.905 −1.211 −2.293 −2.555 −1.248
(0.052)** (0.075)** (0.090)** (0.050)** (0.067)** (0.068)**
High School Education −0.088 0.617 0.230 0.152 0.360 0.012
(0.026)** (0.021)** (0.034)** (0.030)** (0.024)** (0.039)
Some College Education −0.364 0.475 −0.060 0.123 0.371 −0.078
(0.028)** (0.022)** (0.036)** (0.037)** (0.029)** (0.047)
College Education −0.043 0.536 −0.248 0.464 0.580 0.047
(0.028) (0.022)** (0.035) (0.035) (0.027)** (0.046)
Birth Year: 1920–1929       −0.065 −0.180 −0.169
      (0.081) (0.067)** (0.103)
Birth Year: 1930–1939       −0.133 −0.382 −0.291
      (0.082) (0.067)** (0.104)**
Birth Year: 1940–1949       −0.277 −0.388 −0.295
      (0.082)** (0.068)** (0.105)**
Birth Year: 1950–1959 0.011 −0.124 −0.008 −0.365 −0.289 −0.232
(0.030) (0.025)** (0.041) (0.098)** (0.080)** (0.126)
Birth Year: 1960–1969 −0.025 −0.058 −0.044      
(0.030) (0.025)* (0.042)      
Birth Year: 1970–1979 −0.001 0.009 −0.035      
(0.034) (0.028) (0.047)      
Constant −1.578 −0.549   5.136 6.613  
(0.117)** (0.094)**   (0.302)** (0.239)**  
Observations 3,08,015 2,90,385 29,024 1,88,934 1,60,656 16,547
  1. Notes: (i) Models denoted by Pr(LFP = 1) – labour force participation; Pr(FT = 1) –full-time or part-time work; PT Hours –part-time hours for those working part-time. (ii) Robust standard errors italicised and in parentheses.

  2. *

    significant at 5%.

  3. **

    significant at 1%.

Table 2b
Regression results using age centring, women ages 30 and 55.
  Women, Age 30 Women, Age 55
Covariate Pr(LFP = 1) Pr(FT = 1) PT Hours Pr(LFP = 1) Pr(FT = 1) PT Hours
Lagged Labour Force Participation 3.717     5.028    
(0.013)**     (0.020)**    
Married −0.534 −0.547 −0.306 −0.535 −0.780 −0.413
(0.015)** (0.011)** (0.016)** (0.022)** (0.016)** (0.024)**
Age of Person 0.029 0.001 0.007 −0.061 −0.020 −0.017
(0.003)** (0.002) (0.003)* (0.004)** (0.003)** (0.004)**
Receiving Social Security Income −0.882 −0.794 −0.515 −1.110 −1.368 −0.718
(0.044)** (0.050)** (0.054)** (0.047)** (0.050)** (0.050)**
High School Education 0.436 0.398 0.107 0.373 0.272 0.076
(0.019)** (0.018)** (0.023)** (0.024)** (0.019)** (0.026)**
Some College Education 0.526 0.454 0.132 0.425 0.290 0.047
(0.021)** (0.019)** (0.024)** (0.031)** (0.022)** (0.032)
College Education 0.700 0.731 0.166 0.598 0.403 0.066
(0.021)** (0.019)** (0.024)** (0.033)** (0.023)** (0.034)
Number of Children Under 6 Years −0.435 −0.584 −0.309 −0.209 −0.201 −0.201
(0.008)** (0.007)** (0.009)** (0.084) (0.060)** (0.085)*
Birth Year: 1920–1929       −0.054 −0.094 −0.034
      (0.062) (0.054) (0.074)
Birth Year: 1930–1939       0.096 −0.095 0.084
      (0.063) (0.054) (0.075)
Birth Year: 1940–1949       0.220 0.135 0.220
      (0.063)** (0.055)* (0.075)**
Birth Year: 1950–1959 0.299 0.255 0.293 0.342 0.244 0.351
(0.020)** (0.016)** (0.022)** (0.076)** (0.062)** (0.086)**
Birth Year: 1960–1969 0.409 0.449 0.455      
(0.021)** (0.017)** (0.023)**      
Birth Year: 1970–1979 0.393 0.499 0.510      
(0.024)** (0.019)** (0.027)**      
Constant −2.408 0.530   0.855 2.184  
(0.086)** (0.067)**   (0.247)** (0.178)**  
Observations 330,794 239,891 81,777 205,062 127,326 40,052
  1. Notes: (i) Models denoted by Pr(LFP = 1) – labour force participation; Pr(FT = 1) –full-time or part-time work; PT Hours –part-time hours for those working part-time. (ii) Robust standard errors italicised and in parentheses.

  2. *

    significant at 5%.

  3. **

    significant at 1%.

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