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Table 4

Spearman’s rank correlation coeficient and significance (in parenthesis) for the relation between the various bar strength proxies, with and without halo correction, in different morphological class bins.

Correlations Qb vs. ε ε vs. Qb vs. vs. ε QT(rε) vs. ε vs. ε vs. QT(rbar) vs. A2(rbar) vs. A2(rbar)

T< 0 0.80(6.5 × 10-11) 0.84(5.2 × 10-13) 0.72(3.9 × 10-9) 0.79(8.1 × 10-6) 0.78(9.0 × 10-11) 0.78(9.0 × 10-11) 0.73(3.2 × 10-5) 0.40(0. × 10-3) 0.44(0 × 10-2)
T ∈ [0,3) 0.88(3.1 × 10-41) 0.58(1.3 × 10-12) 0.62(3.4 × 10-15) 0.80(3.2 × 10-23) 0.85(5.9 × 10-37) 0.85(5.9 × 10-37) 0.64(9.8 × 10-13) 0.43(3.7 × 10-8) 0.42(4.7 × 10-6)
T ∈ [3,5) 0.88(1.6 × 10-27) 0.65(1.9 × 10-11) 0.70(3.9 × 10-14) 0.84(4.8 × 10-20) 0.68(7.3 × 10-14) 0.68(7.3 × 10-14) 0.67(2.4 × 10-11) 0.42(6.3 × 10-6) 0.44(1.3 × 10-5)
T ∈ [5,7] 0.86(7.5 × 10-44) 0.81(7.9 × 10-36) 0.88(0.0) 0.81(3.0 × 10-33) 0.70(1.2 × 10-30) 0.70(1.2 × 10-30) 0.83(1.0 × 10-40) 0.58(8.2 × 10-24) 0.48(1.4 × 10-14)
T> 7 0.84(3.5 × 10-29) 0.69(2.8 × 10-15) 0.78(2.0 × 10-27) 0.76(5.0 × 10-18) 0.74(2.4 × 10-33) 0.74(2.4 × 10-33) 0.66(4.2 × 10-15) 0.69(1.2 × 10-43) 0.50(1.6 × 10-18)

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