Observations of Herbig Ae/Be stars with Herschel/PACS - The atomic and molecular contents of their protoplanetary discs

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Table 7

Probability p (in percentage) that the two parameters (x, y) under consideration are not correlated, calculated with several statistical methods: Spearman’s, Kendall’s, and Cox-Hazard’s.

Parameters		p Spearman	p Kendall	p Cox-Hazard	Result	Linear fit: y = a × x + b
x	y					a	b

log [O i] 63 μm	log [O i] 145 μm	0.07	0.06	< 0.1	Correlated	1.2 ± 0.21	1.8 ± 3.3
log [O i] 63 μm	log CO J18–17	0.06	0.03	< 0.1	Correlated	0.64 ± 0.07	–7.1 ± 1.1
log L_UV	log [O i] 63 μm	0.33	0.32	–	Correlated	0.72 ± 0.20	–16.1 ± 0.1
log T_eff	log L_UV	0.05	< 0.1	< 0.1	Correlated	9.3 ± 0.2	–36.5 ± 4.4
log L_{[ OI ] 6300 Å}	log [O i] 63 μm	0.88	0.45	–	Correlated	0.83 ± 0.21	–12.4 ± 1 = 0.9
log F_63 μm	log F_1.3 mm	0.19	0.09	0.01	Correlated	0.72 ± 0.1	–0.20 ± 0.2

log F_63 μm	log [O i] 63 μm	4.6	4.4	2.7	Correlated?
log CO J 3–2	log [O i] 63 μm	3.7	2.4	–	Correlated?
log T_eff	log [O i] 63 μm	4.7	3.5	1.6	Correlated?
log L_{PAH6.2 μm}	log [O i] 63 μm	6.6	4.4	–	Correlated?
log L_Brγ	log [O i] 63 μm	4.6	4.4	–	Correlated?

log CO J 2–1	log [O i] 63 μm	54	31	–	Not correlated
log L_∗	log [O i] 63 μm	7.2	9.2	18	Not correlated
log L_X	log [O i] 63 μm	84	71	–	Not correlated
log F_1.3 mm	log [O i] 63 μm	34	27	44	Not correlated
log L_Acc (BaDis)	log [O i] 63 μm	84	83	–	Not correlated
log F_IR/F_∗	log [O i] 63 μm	21	27	47	Not correlated
slope b	log [O i] 63 μm	43	38	72	Not correlated

Notes. Under “result” we indicate the results of these statistical tests.

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