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Table 3

Decomposition analysis for various outcome variables, with bootstrapped 95% confidence intervals shown in brackets

Outcome
Bachelor's DegreeHigh School CompletionYears of Education
Sons    
 Maternal education gap D in 1979 0.476 0.257 3.43 
 Change in gap ∆D 0.025 −0.070 0.46 
  Eq. (5a): changing intercept 0.088 −0.075* 0.48 
  [−0.003, 0.168] [−0.141, −0.005] [−0.07, 1.05] 
  Eq. (5b): changing prevalence −0.030* 0.004 −0.08 
  [−0.045, −0.015] [−0.009, 0.013] [−0.18, 0.01] 
  Eq. (5c): changing prevalence by SES 0.021* 0.006* 0.15* 
   [0.010, 0.034] [0.001, 0.013] [0.07, 0.26] 
  Eq. (5d): changing penalties 0.022* −0.013* 0.17* 
  [0.003, 0.041] [−0.028, −0.001] [0.04, 0.29] 
  Eq. (5e): changing penalties by SES −0.075* 0.007 −0.26 
  [−0.129, −0.016] [−0.038, 0.055] [−0.58, 0.07] 
 Total contribution, (5b) – (5e) −0.063 −0.005 −0.02 
 Total contribution as % of gap D in 1979 −13.2 −1.8 −0.1 
Daughters    
 Maternal education gap D in 1979 0.461 0.227 3.24 
 Change in gap ∆D 0.125 −0.064 0.84 
  Eq. (5a): changing intercept 0.056 −0.114* 0.22 
  [−0.034, 0.156] [−0.166, −0.059] [−0.29, 0.83] 
  Eq. (5b): changing prevalence −0.025* 0.024* 0.01 
  [−0.042, −0.008] [0.012, 0.036] [−0.08, 0.11] 
  Eq. (5c): changing prevalence by SES 0.025* 0.014* 0.16* 
  [0.009, 0.043] [0.006, 0.024] [0.07, 0.28] 
  Eq. (5d): changing penalties 0.009 0.010 0.05 
  [−0.020, 0.035] [−0.012, 0.036] [−0.13, 0.24] 
  Eq. (5e): changing penalties by SES 0.061 0.003 0.39* 
  [−0.002, 0.128] [−0.044, 0.047] [0.03, 0.79] 
 Total contribution, (5b) – (5e) 0.070 0.066 0.62 
 Total contribution as % of gap D in 1979 15.2 22.2 19.1 
Outcome
Bachelor's DegreeHigh School CompletionYears of Education
Sons    
 Maternal education gap D in 1979 0.476 0.257 3.43 
 Change in gap ∆D 0.025 −0.070 0.46 
  Eq. (5a): changing intercept 0.088 −0.075* 0.48 
  [−0.003, 0.168] [−0.141, −0.005] [−0.07, 1.05] 
  Eq. (5b): changing prevalence −0.030* 0.004 −0.08 
  [−0.045, −0.015] [−0.009, 0.013] [−0.18, 0.01] 
  Eq. (5c): changing prevalence by SES 0.021* 0.006* 0.15* 
   [0.010, 0.034] [0.001, 0.013] [0.07, 0.26] 
  Eq. (5d): changing penalties 0.022* −0.013* 0.17* 
  [0.003, 0.041] [−0.028, −0.001] [0.04, 0.29] 
  Eq. (5e): changing penalties by SES −0.075* 0.007 −0.26 
  [−0.129, −0.016] [−0.038, 0.055] [−0.58, 0.07] 
 Total contribution, (5b) – (5e) −0.063 −0.005 −0.02 
 Total contribution as % of gap D in 1979 −13.2 −1.8 −0.1 
Daughters    
 Maternal education gap D in 1979 0.461 0.227 3.24 
 Change in gap ∆D 0.125 −0.064 0.84 
  Eq. (5a): changing intercept 0.056 −0.114* 0.22 
  [−0.034, 0.156] [−0.166, −0.059] [−0.29, 0.83] 
  Eq. (5b): changing prevalence −0.025* 0.024* 0.01 
  [−0.042, −0.008] [0.012, 0.036] [−0.08, 0.11] 
  Eq. (5c): changing prevalence by SES 0.025* 0.014* 0.16* 
  [0.009, 0.043] [0.006, 0.024] [0.07, 0.28] 
  Eq. (5d): changing penalties 0.009 0.010 0.05 
  [−0.020, 0.035] [−0.012, 0.036] [−0.13, 0.24] 
  Eq. (5e): changing penalties by SES 0.061 0.003 0.39* 
  [−0.002, 0.128] [−0.044, 0.047] [0.03, 0.79] 
 Total contribution, (5b) – (5e) 0.070 0.066 0.62 
 Total contribution as % of gap D in 1979 15.2 22.2 19.1 

Notes: Controls included are maternal education, age, region, and ethnicity; ethnicity is excluded in the subsample models. Sample weights are included. D is the difference in outcomes between individuals with higher educated mothers and those with lower educated mothers in 1979; ∆D is the absolute change in D between the 1997 and 1979 cohorts. (5a) = intercept effect; (5b) = difference due to the average change in prevalence of family structures; (5c) = difference due to the change in socioeconomic prevalence differences; (5d) = difference due to the change over time in average penalties; and (5e) = difference due to the change in the socioeconomic difference in penalties. SES = socioeconomic status.

*p < .05

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