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Table 3:

Descriptive statistics of the line-of-sight velocity distribution.
ID $N_{\rm GC}$ $\langle \varv\rangle$ sd $\sigma_{\rm {los}}$ Skew $\kappa$ $p_{\rm {AD}}$ $p_{\rm {KS}}$ $p_{\rm {SW}}$
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
No colour selection, no magnitude limit
AI 693 1457 $\pm $ 12 312 309 $\pm $ 9 -0.16 $\pm $ 0.09 0.12 $\pm $ 0.15 0.10 0.08 0.10

AII

 670 1446 $\pm $ 12 306 302 $\pm $ 9 -0.18 $\pm $ 0.09 0.21 $\pm $ 0.16 0.07 0.07 0.08

AV

 729 1438 $\pm $ 11 294 290 $\pm $ 8 -0.33 $\pm $ 0.08 0.16 $\pm $ 0.16 0.01 0.06 0.01
Faint (mR<21.1) GCs, no colour selection
FII 493 1449 $~\pm~$ 14 309 304 $\pm $ 10 -0.07 $\pm $ 0.10 0.12 $\pm $ 0.17 0.45 0.46 0.69

FIV

 297 1432 $\pm $ 17 288 285 $\pm $ 12 -0.23 $\pm $ 0.11 -0.07 $\pm $ 0.18 0.28 0.37 0.14
Bright (mR<21.1) GCs
BRI 144 1435 $\pm $ 25 307 305 $\pm $ 18 -0.50 $\pm $ 0.18 0.44 $\pm $ 0.39 0.05 0.03 0.02
BRII 140 1428 $\pm $ 25 294 292 $\pm $ 18 -0.59 $\pm $ 0.20 0.61 $\pm $ 0.45 0.03 0.03 0.01

BRIII

 137 1424 $\pm $ 24 280 279 $\pm $ 17 -0.67 $\pm $ 0.21 0.72 $\pm $ 0.53 0.02 0.04 0.01
BRIV 127 1412 $\pm $ 25 283 282 $\pm $ 18 -0.63 $\pm $ 0.22 0.67 $\pm $ 0.52 0.03 0.02 0.01
Blue GCs $(m_R\geq21.1)$

BI

 256 1452 $\pm $ 23 362 358 $\pm $ 16 -0.06 $\pm $ 0.12 -0.35 $\pm $ 0.17 0.65 0.50 0.67

BII

 246 1435 $\pm $ 23 356 351 $\pm $ 16 -0.04 $\pm $ 0.12 -0.27 $\pm $ 0.18 0.72 0.55 0.81

BIII

 240 1415 $\pm $ 22 337 333 $\pm $ 16 -0.21 $\pm $ 0.11 -0.42 $\pm $ 0.16 0.22 0.14 0.09

BIV

 139 1426 $\pm $ 29 338 334 $\pm $ 20 -0.27 $\pm $ 0.14 -0.49 $\pm $ 0.20 0.10 0.06 0.07

BV

 336 1420 $\pm $ 17 316 312 $\pm $ 12 -0.3 $\pm $ 0.11 -0.14 $\pm $ 0.17 0.18 0.39 0.05

Red GCs $(m_R\geq21.1)$

RI

 256 1472 $\pm $ 16 259 256 $\pm $ 12 0.02 $\pm $ 0.14 0.02 $\pm $ 0.21 0.48 0.70 0.70
RII 247 1463 $\pm $ 16 254 251 $\pm $ 12 0.02 $\pm $ 0.14 0.09 $\pm $ 0.22 0.37 0.60 0.63
RIII 243 1463 $\pm $ 16 242 239 $\pm $ 11 0.04 $\pm $ 0.13 -0.08 $\pm $ 0.20 0.55 0.80 0.66
RIV 158 1437 $\pm $ 19 238 234 $\pm $ 13 -0.02 $\pm $ 0.14 -0.14 $\pm $ 0.25 0.80 0.63 0.76
RV 329 1453 $\pm $ 14 254 251 $\pm $ 10 -0.2 $\pm $ 0.15 0.33 $\pm $ 0.36 0.24 0.09 0.12

Notes. This table summarise the basic statistical properties for the velocity samples defined in Sect. 5.4. The samples are identified in the first column while the second column gives the corresponding number of GC velocities. Column 3 lists the mean velocity, and the standard deviation is given Col. 4. The dispersion $\sigma_{\rm {los}}$, as returned by the Pryor & Meylan (1993) estimator, is given in Col. 5. The third and fourth moments of the velocity distributions, the skewness and the (reduced) kurtosis $\kappa$, are listed in Cols. 6 and 7, respectively, and the uncertainties were estimated using bootstrap resampling. Columns 8 through 10 give the p-values returned by the Anderson-Darling, Lilliefors (Kolmogorov-Smirnov), and the Shapiro-Wilks (W-test) test for normality, respectively. The Roman numerals refer to the sequence of subsamples defined in Sect. 5.4, where (I) is the full sample, prior to interloper removal. (II): GCs within 3$^\prime $ of NGC 1404 removed, (III): extreme velocities removed via TME algorithm (Sect. 5.3); (IV): restriction to Class A velocity measurements, and (V) includes the data from B+07.


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