Table 4.

Partial Correlation and Path Analysis (Data Set 2)

# Species	Brancha	n	Partial Correlation Analysis						Path Analysis
			ω		dN		dS		ω		dN		dS
			ρ	Pb	ρ	Pb	ρ	Pc	β	Pb	β	Pb	β	Pc
6	Alld	20	−0.144	0.299	−0.117	0.335	0.084	0.762	−0.138	0.276	−0.189	0.213	−0.156	0.380
	a	20	−0.252	0.174	−0.173	0.264	0.457	0.064	−0.121	0.313	−0.076	0.379	−0.098	0.486
	b	20	−0.172	0.264	−0.210	0.219	−0.399	0.117	−0.102	0.330	−0.208	0.179	−0.276	0.122
	c	20	−0.121	0.330	−0.163	0.276	−0.118	0.667	−0.049	0.414	−0.071	0.379	−0.276	0.127
	d	19	−0.203	0.236	−0.102	0.361	0.141	0.622	−0.134	0.284	−0.106	0.317	0.047	0.834
	e	19	−0.141	0.310	−0.098	0.367	0.103	0.720	−0.126	0.301	−0.107	0.322	0.142	0.483
	f	20	−0.081	0.385	0.014	0.520	0.197	0.470	−0.015	0.476	0.003	0.505	0.020	0.934
	g	13	−0.817	<0.001***	−0.812	<0.001***	−0.124	0.760	−0.587	0.004**	−0.649	<0.001***	−0.265	0.370
	h	20	−0.190	0.243	−0.173	0.263	0.226	0.404	−0.184	0.200	−0.302	0.092	−0.154	0.487
	i	15	−0.025	0.472	−0.164	0.319	−0.007	0.984	−0.189	0.079	−0.381	0.041*	0.012	0.963
5e	Alld	20	−0.408	0.054	−0.321	0.111	0.236	0.381	−0.307	0.074	−0.307	0.090	−0.033	0.847
	a	20	−0.449	0.035*	−0.349	0.090	0.299	0.259	−0.315	0.085	−0.294	0.097	−0.085	0.566
	b	20	−0.393	0.062	−0.339	0.097	−0.085	0.759	−0.277	0.100	−0.366	0.042*	−0.255	0.144
	c	20	−0.414	0.051	−0.273	0.153	−0.121	0.659	−0.197	0.169	−0.214	0.164	−0.177	0.338
	d	19	−0.381	0.077	−0.256	0.180	0.242	0.388	−0.369	0.046*	−0.276	0.102	0.051	0.819
	f + i	20	−0.309	0.121	−0.145	0.298	0.025	0.929	−0.218	0.171	−0.135	0.293	−0.003	0.987
	g	13	−0.721	0.005**	−0.739	0.004**	−0.081	0.843	−0.561	0.018*	−0.736	0.001**	−0.164	0.492
	h	20	−0.263	0.163	−0.346	0.092	−0.097	0.726	−0.221	0.150	−0.358	0.039*	−0.165	0.407

Note.—Association between pathway position and ω, d_N, and d_S values after controlling for expression level and breadth, codon bias, protein length, and connectivity. Unless noticed otherwise, all correlations are based on values estimated under the FR model.

^aBranch codes according to figure 2.

^bOne-tailed P values.

^cTwo-tailed P values.

^dUsing overall ω, d_N, and d_S values (M0 model).

^eExcluding Ornithorhynchus anatinus.

^*P < 0.05, **P < 0.01, and ***P < 0.001.