you should do this and clip the bite to your rap/belay loop...keeps you on lead, protected by the last piece while you thread the anchor!
Better yet, just pass a bite of rope through the anchor, tie figure 8, clip the 8 into your belay loop, and untie the end of your rope, pull loose end through the anchor and lower.
don't lower through the anchors!!
if you're tr'ing, use qd's or build an anchor. if cleaning: rap off!!!