TABLE V.
Nearest-neighbor and histogram estimates of the mutual information expansion truncations Sm(1, . . . , 7) for Model System II, R,S-tartaric acid. Sample sizes, n, are in millions.
| Nearest Neighbor
|
Histogram
|
|||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| n × 10−6 | S1 | S2 | S3 | S4 | S5 | S6 | S7 | S1 | S2 | S3 |
| 0.05 | 6.4537 | 5.1252 | 5.2428 | 5.4943 | 5.4034 | 5.4657 | 5.4408 | 6.4061 | 2.3402 | −16.6412 |
| 0.10 | 6.4496 | 5.1970 | 5.0692 | 5.5097 | 5.3005 | 5.3824 | 5.3699 | 6.1944 | 3.4141 | −9.2524 |
| 0.20 | 6.4485 | 5.1642 | 5.2006 | 5.1525 | 5.4578 | 5.2749 | 5.3119 | 6.2605 | 4.1557 | −4.3927 |
| 0.40 | 6.4601 | 5.1263 | 5.1840 | 5.2117 | 5.2318 | 5.2674 | 5.2540 | 6.3444 | 4.5980 | −0.9626 |
| 0.60 | 6.4559 | 5.0918 | 5.2295 | 5.1041 | 5.2672 | 5.2332 | 5.2290 | 6.3992 | 4.7761 | 0.5356 |
| 0.80 | 6.4597 | 5.1100 | 5.1761 | 5.1676 | 5.2121 | 5.2265 | 5.2167 | 6.4270 | 4.8705 | 1.3798 |
| 1.00 meana | 6.449 | 5.141 | 5.107 | 5.208 | 5.178 | 5.218 | 5.205 | 6.433 | 4.954 | 1.932 |
| 1.00 sdb | 0.004 | 0.016 | 0.035 | 0.040 | 0.032 | 0.012 | 0.004 | 0.218 | 0.156 | 0.053 |
| 2.00 | 6.4485 | 5.1389 | 5.0709 | 5.2032 | 5.1250 | 5.1887 | 5.1728 | 6.5151 | 5.0823 | 3.2141 |
| 4.00 | 6.4480 | 5.1501 | 5.0537 | 5.1707 | 5.1290 | 5.1595 | 5.1488 | 6.4571 | 5.0953 | 3.9383 |
| 6.00 | 6.4506 | 5.1276 | 5.0548 | 5.1730 | 5.0950 | 5.1472 | 5.1373 | 6.4707 | 5.1218 | 4.2335 |
| 8.00 | 6.4495 | 5.1447 | 5.0087 | 5.2164 | 5.0595 | 5.1439 | 5.1291 | 6.4594 | 5.1205 | 4.3803 |
| 10.00 | 6.4502 | 5.1341 | 5.0345 | 5.1580 | 5.0998 | 5.1238 | 5.1239 | 6.4611 | 5.1271 | 4.4788 |
| 14.40 | 6.4489 | 5.1413 | 5.0074 | 5.1755 | 5.0753 | 5.1206 | 5.1154 | 6.4536 | 5.1272 | 4.5970 |
a
Data provided are means for 10 independent samples of n = 106.
b
Data provided are standard deviations for 10 independent samples of n = 106.