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Simpson

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Validate output by making calculations by hand

*.simpson

These files give the classic Simpson Index of diversity.


<math>H_{Simpson} = \frac {\sum_{i=1}^{S_{obs}} {S_i \left ( S_i - 1 \right )}}{N \left( N-1 \right )}</math>


For the Amazonian dataset at distance 0.03, the Simpson Index is 0.0044.


  • .simpson
numsampled	0.01	lci	hci	0.02	lci	hci	0.03	lci	hci	
1		0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	
10		0.0000	0.0000	0.0000	0.0667	-0.0464	0.1797	0.0222	-0.0271	0.0716	
20		0.0000	0.0000	0.0000	0.0316	-0.0207	0.0839	0.0053	-0.0078	0.0183	
30		0.0000	0.0000	0.0000	0.0161	-0.0082	0.0404	0.0046	-0.0035	0.0127	
40		0.0000	0.0000	0.0000	0.0090	-0.0050	0.0230	0.0026	-0.0021	0.0072	
50		0.0000	-0.0000	0.0000	0.0073	-0.0020	0.0166	0.0024	-0.0011	0.0060	
60		0.0006	-0.0009	0.0021	0.0062	-0.0010	0.0134	0.0017	-0.0008	0.0042	
70		0.0015	0.0008	-0.0007	0.0024	0.0046	-0.0008	0.0099	0.0021	-0.0003	
80		0.0016	-0.0002	0.0034	0.0041	-0.0003	0.0086	0.0035	0.0003	0.0067	
90		0.0012	-0.0002	0.0027	0.0032	-0.0003	0.0068	0.0042	0.0006	0.0079	
98		0.0011	-0.0002	0.0023	0.0029	-0.0001	0.0060	0.0044	0.0008	0.0080