Table 2. Diversity and ENS for GFP⁻.

The mean and 95% confidence intervals for relative inverse Simpson’s index (ISI) and several entropy-based indices discussed in the paper, reported for different size (n) sub-samples drawn from GFP⁻ dataset. The presented values (based on B = 500 repetitions) are reported relatively to the values in the complete dataset. For each pair of labeled rows, the top row gives the relative values of the indices and the bottom one gives the corresponding relative values of the effective numbers of species (ENS). In each scenario, the relative values closest to one are italicized. “Plug-in H₁” refers to the naive, empirical estimate of H₁.

	n = 102	n = 103	n = 104	n = 105
Stat/ENS	$\widehat{C}=0.30$	$\widehat{C}=0.62$	$\widehat{C}=0.83$	$\widehat{C}=0.94$
ISI	0.34 (0.19,0.45)	0.77 (0.52,1.07)	0.94 (0.83,1.08)	0.95 (0.90,0.99)
	0.34 (0.19,0.45)	0.77 (0.52,1.07)	0.94 (0.83,1.08)	0.95 (0.90,0.99)
$H_{\widehat{C}}$	0.46 (0.37,0.50)	0.74 (0.68,0.78)	0.92 (0.89,0.94)	0.96 (0.95,0.97)
	0.07 (0.04,0.08)	0.27 (0.21,0.35)	0.65 (0.57,0.74)	0.83 (0.78,0.86)
$H_{\widehat{C}}^{\left(n\right)}$	0.75 (0.49,1.00)	0.90 (0.82,0.98)	1.02 (1.00,1.06)	1.01 (1.00,1.02)
	0.29 (0.077,1.00)	0.60 (0.41,0.90)	1.13 (0.95,1.35)	1.07 (1.01,1.15)
$H_1^{\left(n\right)}$	0.73 (0.46,1.04)	0.80 (0.73,0.89)	0.92 (0.90,0.95)	0.96 (0.95,0.97)
	0.27 (0.06,1.22)	0.39 (0.26,0.56)	0.69 (0.60,0.78)	0.84 (0.79,0.88)
Plug-in H1	0.45 (0.36,0.50)	0.70 (0.65,0.76)	0.86 (0.84,0.88)	0.93 (0.92,0.94)
	0.06 (0.04,0.08)	0.23 (0.17,0.30)	0.50 (0.44,0.56)	0.70 (0.67,0.73)