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Table 5

Statistical comparisons of the spectral gradient distributions of pairs of MBOSS populations: t-test, f-test, and KS test.

Resonant Classical Classical Scattered Detached Centaurs Short Long Trojans
(others) cold hot disk disk period period
objects objects comets comets

N 15 43 28 23 17 26 44 0 60

Resonant 31 t 0.701 0.002 0.713 0.340 0.056 0.768 0.006 0.000
3:2 f 0.367 0.209 0.505 0.777 0.264 0.163 0.334 0.000
KS 0.810 0.000 0.817 0.612 0.023 0.438 0.072 0.000
Indist. Not comp. Indist. Indist. Marginal Indist. Marginal –/– Not comp.

Resonant 15 t 0.019 0.485 0.211 0.034 0.968 0.005 0.000
others f . 0.986 0.166 0.523 0.881 0.057 0.810 0.000
KS 0.019 0.680 0.183 0.009 0.101 0.020 0.000
Marginal Indist. Indist. Marginal Indist. Marginal –/– Not comp.

Classical 43 t 0.002 0.000 0.000 0.038 0.000 0.000
cold f . 0.051 0.402 0.839 0.006 0.747 0.000
KS 0.006 0.000 0.000 0.000 0.000 0.000
Not comp. Not comp. Not comp. Not comp. –/– Not comp.

Classic 28 t 0.602 0.160 0.560 0.039 0.000
hot f . 0.377 0.106 0.471 0.094 0.000
KS 0.161 0.002 0.284 0.040 0.000
Indist. Marginal Indist. Marginal –/– Not comp.

Scattered 23 t 0.355 0.286 0.114 0.001
disk f . 0.406 0.125 0.569 0.000
objects KS 0.280 0.358 0.359 0.000
Indist. Indist. Indist. –/– Not comp.

Detached 17 t 0.064 0.583 0.020
disk f . 0.031 0.662 0.000
objects KS 0.182 0.444 0.000
Indist. Indist. –/– Not comp.

Centaurs 26 t 0.015 0.000
f . 0.014 0.000
KS 0.035 0.000
Marginal –/– Not comp.

Short 44 t 0.090
period f . 0.000
comets KS 0.000
–/– Not comp.

Notes. The three tests are the Student t- and f-tests and the KS test. The number N indicates how many objects have measurements. The result is the probability that the two distributions are randomly extracted from the same population. The label indicates whether the populations are significantly different (i.e., not compatible), marginally different, or statistically indistinguishable (see text for details).

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