## Multiple (5) imputations: svrepdesign(ids = ~id, weights = ~att_w, repweights = "w_fstr[0-9]+", 
##     type = "Fay", data = a, rho = 0.5, combined.weights = TRUE)

Trend plots

Represented blow is the trends across 7 rather than 4 years for the LSAY2003 cohort. Three lines are presented:

  1. The BLACK line is the observed trend with 95% confidence intervals
  2. The RED lines are the estimated trend excluding 2009 and 2010
  3. The BLUE lines are the estimated trend excluding 2010

The estimated trend lines then are quick and dirty means of trying to say this is the trend without the GFC defined either as occuring in 2008 (red) or 2009 (blue).