Dependence of the Rayleigh (Z-squared) statistic on distance (period). The upper panel shows the results for galaxies closer than 0.5 h^-1 Mpc to the filament axis and the lower panel shows the results for galaxies closer than 0.25 h^-1 Mpc. The red line shows the statistic together with the jackknife 95% confidence estimate. The blue line shows the results from Monte Carlo simulations for the null hypothesis together with the 95% confidence limits.