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Table 3

Statistical results from three different two-sided tests (AD, CvM, and KS) performed to check whether two samples come from the same distribution for the Gauss-Hermite h4 parameter.

Empirical

Test Crit. Obs. p-value

early (N = 276) vs. late (N = 1893)

AD 1.945 57.5 8e-25
CvM 0.034 0.75 0
KS 0.087 0.29 2e-16

E (N = 86) vs. S0 (N = 190)

AD 1.945 0.280 0.26
CvM 0.049 0.027 0.2
KS 0.173 0.15 0.18

Sab (N = 913) vs. Scd (N = 980)

AD 1.945 34.8 2e-15
CvM 0.030 0.40 0
KS 0.062 0.18 2e-13

Synthetic

early (N = 267) vs. late (N = 1788)

AD 1.945 67.8 4e-29
CvM 0.08 1.40 0
KS 0.088 0.319 2e-16

E (N = 84) vs. S0 (N = 183)

AD 1.945 1.6 0.07
CvM 0.06 0.05 0.06
KS 0.173 0.176 0.06546

Sab (N = 859) vs. Scd (N = 929)

AD 1.945 47.1 2e-20
CvM 0.08 1.20 0
KS 0.064 0.182 2e-13

Notes. The tests were performed for the case when the empirical template library (top) and synthetic library (bottom) were used. The listed parameters in the second and the third columns are the critical (“crit.”) or tabulated values of the test and the observed (“obs.”) values. The number of galaxies of this particular type used for testing is given in brackets next to the galaxy type .

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