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Table B.1.

Summary of regression analysis for velocity dispersion vs. the richness scaling relation ln(σv km−1 s) = α + βln(λEz/47.2)+N(0, σ).

Sample Intercept α Slope β Intrinsic scatter σ N clusters
Full 6.460 ± 0.012 0.380 ± 0.021 0.134 ± 0.014 483
Gaussian 6.453 ± 0.013 0.371 ± 0.021 0.103 ± 0.017 391
Non-Gaussian 6.491 ± 0.036 0.422 ± 0.060 0.207 ± 0.028 92
Full λ≥ 47.2 6.455 ± 0.024 0.392 ± 0.036 0.133 ± 0.016 302
Full λ< 47.2 6.439 ± 0.029 0.315 ± 0.072 0.145 ± 0.022 181
Gaussian λ≥ 47.2 6.462 ± 0.024 0.362 ± 0.036 0.090 ± 0.022 239
Gaussian λ< 47.2 6.420 ± 0.030 0.291 ± 0.075 0.136 ± 0.026 152
Non-Gaussian λ≥ 47.2 6.440 ± 0.065 0.490 ± 0.096 0.223 ± 0.034 63
Non-Gaussian λ< 47.2 6.508 ± 0.075 0.352 ± 0.255 0.191 ± 0.056 29
0.05 < αAD ≤ 0.15 6.433 ± 0.050 0.420 ± 0.083 0.134 ± 0.061 58
αAD > 0.15 6.435 ± 0.020 0.361 ± 0.034 0.099 ± 0.027 333
Δθ/R200c ≥ 0.3 6.427 ± 0.044 0.359 ± 0.072 0.094 ± 0.059 64
Δθ/R200c < 0.3 6.466 ± 0.020 0.382 ± 0.033 0.141 ± 0.021 419
z ≥ 0.3 6.466 ± 0.146 0.354 ± 0.128 0.080 ± 0.062 64
0.15 ≤ z < 0.3 6.431 ± 0.051 0.426 ± 0.085 0.098 ± 0.048 159
z < 0.15 6.435 ± 0.022 0.361 ± 0.051 0.160 ± 0.024 260
Gaussian z ≥ 0.3 6.538 ± 0.169 0.291 ± 0.161 0.097 ± 0.068 52
Gaussian 0.15 ≤ z < 0.3 6.459 ± 0.050 0.395 ± 0.091 0.089 ± 0.049 131
Gaussian z < 0.15 6.440 ± 0.024 0.342 ± 0.050 0.122 ± 0.030 208

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