11.7 First-differenced and de-meaned data

  • Data is simply the differences (change scores) between time points (see Table 11.2)
  • trust.06.07 = trust.2007 - trust.2006
  • First-differenced: Individual’s change from t0 to t1 (outcome and treatment variable below)
  • Same is done for covariates
Table 11.2: Data change scores (wide-format)
Name trust.06.07 trust.07.08 threat.06.07 threat.07.08
Brittany 0 -2 0 1
Ethan 1 -2 -1 0
Kyle 7 -2 0 0
Jacob -2 3 1 0
Jessica 2 -5 0 0
  • Data is de-meaned for fixed effects approach (see Table 11.3)
  • trust.2006.demeaned = trust.2006 - trust.mean (across all time points)
  • De-meaned = individual’s deviation for each time point from its mean across time points (outcome and treatment variable below)
  • Same is done for covariates
Table 11.3: Data demeaned (wide-format)
Name trust.2006.demeaned trust.2007.demeaned trust.2008.demeaned threat.2006.demeaned threat.2007.demeaned threat.2008.demeaned
Brittany 0.6666667 0.6666667 -1.333333 -0.3333333 -0.3333333 0.6666667
Ethan 0.0000000 1.0000000 -1.000000 0.6666667 -0.3333333 -0.3333333
Kyle -4.0000000 3.0000000 1.000000 0.0000000 0.0000000 0.0000000
Jacob 0.3333333 -1.6666667 1.333333 -0.6666667 0.3333333 0.3333333
Jessica 0.3333333 2.3333333 -2.666667 0.0000000 0.0000000 0.0000000