The following is a partial analysis of results. The following steps were taken:

1. Remove n=80 cases where zG/zQ > .5 (all but one >.8 and mostly near .99) as these quasars are clearly at distances similar to a galaxy (similar redshift).

2. Remove n=7623 cases where zG<=.005 as the galaxies are so close that the area searched for quasars is too great.

3. Remove n=8 cases where obs-mag-Q was unknown as magnitude is part of the test.

4. Divide into zG ranges for simple analysis with groups starting at .005, .01, .02, .05, .1 and highest was .2154

These 5 groups were averaged to see if any trends were apparent:
(in CSV format)

n,zQ,obsmagQ,zG,kpc,zG/zQ

450,1.52,18.77,.0067,97.0,.0074
225,1.74,19.41,.0162,99.3,.0151
268,1.67,18.97,.0267,92.7,.0236
58,1.73,18.79,.0649,89.3,.0618
25,1.63,19.19,.1308,95.4,.1159

There is no obvious trend in the quasar z or magnitude. For the zG group that had lower z that was excluded there was probably some variation from this.

The average distance from galaxy of the quasar line of sight is always between 89 and 99 kpc (not surprising as selected at <150 kpc).

These results listed here are consistent with big bang expectations.

Other aspects not consistent with the normal big bang expectations are the concentration of cases where the galaxy is a little less than the quasar distance (80 to 99% of the way there) and possibly the variation of the lower redshift galaxy cases (z=.0004 vicinity).

All the data does support the proposal that all quasars are active galaxies at their true redshift that are being lensed by objects close to galaxies. Such a proposal also explains many other (all?) aspects of Arp's observations. Strange objects at anomalous redshifts connected to galaxies and in bridges. They are all actually distant objects being lensed by a real object that is connected with the galaxy. It also explains why quasar brightness has a poor relationship to distance - it is the amount of magnification of the lens varying.

The question is, what are the lensing objects? I will make another post about that.