  We apply a distance-based Bell-test analysis method [E. Knill et al., Phys.
Rev. A. 91, 032105 (2015)] to three experimental data sets where conventional
analyses failed or required additional assumptions. The first is produced from
a new classical source exploiting a "coincidence-time loophole" for which
standard analysis falsely shows a Bell violation. The second is from a source
previously shown to violate a Bell inequality; the distance-based analysis
agrees with the previous results but with fewer assumptions. The third data set
does not show a violation with standard analysis despite the high source
quality, but is shown to have a strong violation with the distance-based
analysis method.
