Table 3: The significance (Fisher test) of the null hypothesis that the ${\theta }_{\rm cs}$ are equal in two equal subsamples divided by $L_{[\rm O~III] }$ , $L_{\rm {151}}$ and redshift z, respectively. Probabilities are calculated for: (1) the sample which includes 20 WQs grouped with HEGs rather than quasars; (2) the sample consisting only of HEGs and quasars; and (3) the sample which excludes 12 transitional sources with $\log~(L_{151}$ / W Hz^-1 sr ^-1) < 25.3.
Relation Fisher test (%) Fisher test (%) Fisher test (%)

plane (1) (2) (3)

$\overline{\theta}_{\rm cs}-L_{[\rm {O III}]}$ 99.4 99.3 98.6

$\overline{\theta}_{\rm cs}-L_{\rm {151}}$ 63.6 71.7 60.2

$\overline{\theta}_{\rm cs}-z$ 4.8 32.5 38.7

**Table 3:** The significance (*Fisher* test) of the null hypothesis that the ${\theta }_{\rm cs}$ are equal in two equal subsamples divided by $L_{[\rm O~III] }$ , $L_{\rm {151}}$ and redshift z, respectively. Probabilities are calculated for: (1) the sample which includes 20 WQs grouped with HEGs rather than quasars; (2) the sample consisting only of HEGs and quasars; and (3) the sample which excludes 12 transitional sources with $\log~(L_{151}$ / W Hz^-1 sr ^-1) < 25.3.
Relation	Fisher test (%)	Fisher test (%)	Fisher test (%)
plane	(1)	(2)	(3)
$\overline{\theta}_{\rm cs}-L_{[\rm {O III}]}$	99.4	99.3	98.6
$\overline{\theta}_{\rm cs}-L_{\rm {151}}$	63.6	71.7	60.2
$\overline{\theta}_{\rm cs}-z$	4.8	32.5	38.7

Source LaTeX | All tables | In the text

	1 Introduction
	2 Equations for the opening angle of the torus
	3 The sample and selection criteria
	4 Relations for the torus opening angle
	5 Discussion and conclusions
	Appendix: Equation for estimating the critical viewing angle
	References