* calhnb 2.27 calculate statistics of hnb * * genomic composition: a = 1, c = 1, g = 1, t = 1 * genomic uncertainty, hg = 2.00000 bits * * n is the number of sequence examples * e(hnb) is the expectation of the uncertainty hnb calculated from n examples * ae(hnb) an approximation of e(hnb) that is calculated * more rapidly than e(hnb) for large n * e diff e(hnb)-ae(hnb) * var(hnb) is the variance of hnb * avar(hnb) is the approximate variance of hnb * std diff is the difference between the standard deviations * (square roots of) var(hnb) and avar(hnb) * e(n) hg - e(hnb), the sampling error. * sd(n) square root of var(hnb). * * units are bits/base, except for the variances which * are the square of these. * * n e(hnb) ae(hnb) e diff var(hnb) avar(hnb) std diff e(n) sd(n) * 1 0.00000 -0.16404 0.16404 0.00000 4.68308 -2.16404 2.00000 0.00000 2 0.75000 0.91798 -0.16798 0.18750 1.17077 -0.64901 1.25000 0.43301 3 1.11090 1.27865 -0.16775 0.18227 0.52034 -0.29441 0.88910 0.42694 4 1.32399 1.45899 -0.13500 0.15171 0.29269 -0.15151 0.67601 0.38950 5 1.46291 1.56719 -0.10429 0.12148 0.18732 -0.08427 0.53709 0.34854 6 1.55923 1.63933 -0.08010 0.09639 0.13009 -0.05021 0.44077 0.31046 7 1.62900 1.69085 -0.06185 0.07661 0.09557 -0.03237 0.37100 0.27678 8 1.68129 1.72949 -0.04821 0.06129 0.07317 -0.02294 0.31871 0.24756 9 1.72155 1.75955 -0.03800 0.04947 0.05782 -0.01802 0.27845 0.22243 10 1.75328 1.78360 -0.03031 0.04034 0.04683 -0.01555 0.24672 0.20086 11 1.77879 1.80327 -0.02448 0.03325 0.03870 -0.01439 0.22121 0.18234 12 1.79966 1.81966 -0.02000 0.02769 0.03252 -0.01392 0.20034 0.16641 13 1.81699 1.83354 -0.01654 0.02331 0.02771 -0.01379 0.18301 0.15267 14 1.83159 1.84543 -0.01384 0.01982 0.02389 -0.01380 0.16841 0.14077 15 1.84403 1.85573 -0.01170 0.01701 0.02081 -0.01384 0.15597 0.13043 16 1.85475 1.86475 -0.00999 0.01473 0.01829 -0.01387 0.14525 0.12138 17 1.86408 1.87270 -0.00862 0.01287 0.01620 -0.01385 0.13592 0.11344 18 1.87227 1.87978 -0.00750 0.01133 0.01445 -0.01379 0.12773 0.10644 19 1.87952 1.88610 -0.00658 0.01004 0.01297 -0.01367 0.12048 0.10022 20 1.88598 1.89180 -0.00582 0.00897 0.01171 -0.01352 0.11402 0.09468 21 1.89177 1.89695 -0.00518 0.00805 0.01062 -0.01333 0.10823 0.08972 22 1.89699 1.90163 -0.00465 0.00727 0.00968 -0.01311 0.10301 0.08526 23 1.90172 1.90591 -0.00419 0.00660 0.00885 -0.01287 0.09828 0.08122 24 1.90604 1.90983 -0.00380 0.00601 0.00813 -0.01262 0.09396 0.07755 25 1.90998 1.91344 -0.00346 0.00551 0.00749 -0.01235 0.09002 0.07421 26 1.91361 1.91677 -0.00316 0.00506 0.00693 -0.01209 0.08639 0.07115 27 1.91695 1.91985 -0.00290 0.00467 0.00642 -0.01182 0.08305 0.06833 28 1.92003 1.92271 -0.00268 0.00432 0.00597 -0.01155 0.07997 0.06574 29 1.92290 1.92538 -0.00248 0.00401 0.00557 -0.01128 0.07710 0.06334 30 1.92557 1.92787 -0.00230 0.00373 0.00520 -0.01102 0.07443 0.06111 31 1.92805 1.93019 -0.00214 0.00349 0.00487 -0.01077 0.07195 0.05904 32 1.93038 1.93237 -0.00200 0.00326 0.00457 -0.01052 0.06962 0.05710 33 1.93256 1.93442 -0.00187 0.00306 0.00430 -0.01028 0.06744 0.05529 34 1.93460 1.93635 -0.00175 0.00287 0.00405 -0.01005 0.06540 0.05360 35 1.93652 1.93817 -0.00165 0.00270 0.00382 -0.00982 0.06348 0.05201 36 1.93834 1.93989 -0.00155 0.00255 0.00361 -0.00961 0.06166 0.05051 37 1.94005 1.94151 -0.00146 0.00241 0.00342 -0.00940 0.05995 0.04909 38 1.94167 1.94305 -0.00138 0.00228 0.00324 -0.00920 0.05833 0.04775 39 1.94321 1.94451 -0.00131 0.00216 0.00308 -0.00900 0.05679 0.04649 40 1.94466 1.94590 -0.00124 0.00205 0.00293 -0.00881 0.05534 0.04529 41 1.94604 1.94722 -0.00117 0.00195 0.00279 -0.00863 0.05396 0.04415 42 1.94736 1.94848 -0.00112 0.00185 0.00265 -0.00846 0.05264 0.04307 43 1.94861 1.94967 -0.00106 0.00177 0.00253 -0.00829 0.05139 0.04204 44 1.94980 1.95082 -0.00101 0.00169 0.00242 -0.00812 0.05020 0.04106 45 1.95094 1.95191 -0.00097 0.00161 0.00231 -0.00797 0.04906 0.04012 46 1.95203 1.95296 -0.00092 0.00154 0.00221 -0.00782 0.04797 0.03923 47 1.95307 1.95396 -0.00088 0.00147 0.00212 -0.00767 0.04693 0.03837 48 1.95407 1.95492 -0.00084 0.00141 0.00203 -0.00753 0.04593 0.03755 49 1.95503 1.95584 -0.00081 0.00135 0.00195 -0.00739 0.04497 0.03677 50 1.95594 1.95672 -0.00078 0.00130 0.00187 -0.00726 0.04406 0.03602