Table 4: Generalised Kendall's test probabilities for the null hypothesis that no relation exists between any two given quantities. The sample includes the IFS objects and the RLQs in H91b. The values in brackets give the correlation coefficients. The observed properties involved here are: the total luminosity in Ly $\alpha$ in the EELRs ( $L_{{\rm Ly\alpha ,neb}}$ ), the flux from the QSOs in the broad Ly $\alpha$ line ( $L_{{\rm Ly\alpha ,QSO}}$ ), the maximum extension of the Ly $\alpha$ nebulae (size), the quasar luminosities estimated at the rest-frame 912 Å ( $L_{{\rm Ly\alpha,912~{\AA}}}$ ).
$L_{{\rm Ly\alpha ,neb}}$ Size $L_{{\rm QSO},912~{\rm\AA}}$

$L_{{\rm Ly\alpha ,QSO}}$ 0.174 (0.403) 0.266 (-0.332) 0.003 (0.885)

$L_{{\rm Ly\alpha ,neb}}$ ... 0.001 (1.020) 0.594 (-0.158)

Size ... ... 0.234 (-0.356)

**Table 4:** Generalised Kendall's test probabilities for the null hypothesis that no relation exists between any two given quantities. The sample includes the IFS objects and the RLQs in H91b. The values in brackets give the correlation coefficients. The observed properties involved here are: the total luminosity in Ly $\alpha$ in the EELRs ( $L_{{\rm Ly\alpha ,neb}}$ ), the flux from the QSOs in the broad Ly $\alpha$ line ( $L_{{\rm Ly\alpha ,QSO}}$ ), the maximum extension of the Ly $\alpha$ nebulae (size), the quasar luminosities estimated at the rest-frame 912 Å ( $L_{{\rm Ly\alpha,912~{\AA}}}$ ).
	$L_{{\rm Ly\alpha ,neb}}$	Size	$L_{{\rm QSO},912~{\rm\AA}}$
$L_{{\rm Ly\alpha ,QSO}}$	0.174 (0.403)	0.266 (-0.332)	0.003 (0.885)
$L_{{\rm Ly\alpha ,neb}}$	...	0.001 (1.020)	0.594 (-0.158)
Size	...	...	0.234 (-0.356)

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