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T-test |
The program performs Student's t-test for significantly different means. This test is applied when two distributions x and y are thought to have the same variance, but possibly different means. The test evaluates the significance of the t=(x0-y0)/SD, where x0 and y0 are mean estimates for x and y, SD is the "pooled variance". The t value follows Student's t-distribution with Nx + Ny - 2 degrees of freedom, where Nx and Ny are sample sizes for x and y. The significance is the probability that |t| could be this large or larger just by chance, for distributions with equal means; a value of the significance smaller than, for example, 0.05 means that the observed difference is significant at 95% confidence.
This program use statistical functions from "R" free software environment for statistical computing and graphics (http://www.r-project.org).
This program requires the R-package to be installed on your computer.
Input file should contain table of numerical data: lines for observations (cases) columns should be separated by tabulation or user-defines symbol (; , etc); for example, if comma (,) separator is used, the file format is the same as the CSV (comma separated values) format. No missing data allowed.
Example of output data:
T-test for means difference (two-tailed): VarName M Var Feat1 -2.6040 101.8692 Feat5 2.0072 102.6015 PooledVariance 102.2353 t-statistics 2.2803 df 98 prob 0.0248
First line is the header. Second line is the data descriptions, separated by tabulation (VarName - names for selected variables; M - mean values for variables; Var - variances for variables). Next lines list data for variables (names, means and variances), separated by tabulation. After the variable list the following parameters are printed out: Pooled Variance (PooledVariance), t-statistics, number of degrees of freedom (df) and the probability that |t| could be this large or larger just by chance (prob).
Example of input data file format:
ItemName Feat1 Feat2 Feat3 Feat4 Feat5 ClassVar Item1 -11.761101 -5.295846 -2.491684 4.151158 9.777093 1 Item2 -11.425886 -6.753716 0.136692 5.161748 13.618702 1 Item3 -7.069796 0.545457 0.097140 0.678579 10.302988 1 Item4 -13.480880 -3.867702 0.119297 2.333842 10.992096 1 Item5 -9.707938 -2.597949 -2.329997 2.928526 8.441053 1 Item6 -10.013794 -2.165258 -3.169195 2.625904 10.611103 1 Item7 -9.057161 -4.766594 1.691733 1.655782 7.046236 1 Item8 -8.562761 -1.272652 -3.990204 2.286294 12.768212 1 Item9 -12.724631 -4.710623 -2.114719 2.812189 6.434645 1 Item10 -9.593738 -5.478652 -1.799524 4.306497 9.514756 1 Item11 -7.699759 -1.546648 -0.423322 4.889767 9.228675 1 Item12 -13.158116 -2.891354 0.595935 2.264199 12.004761 1 Item13 -10.509598 -3.414075 -1.962310 1.263863 10.199896 1 Item14 -6.547624 -3.594928 -2.117222 5.168950 10.838221 1 Item15 -12.375988 -3.130436 -2.169164 1.537614 11.112888 1 Item16 -12.953032 -2.805048 0.085116 3.303354 7.405194 1 Item17 -11.370708 -2.848384 -0.848201 3.885525 10.569231 1 Item18 -13.117222 -7.025575 1.406507 7.069338 12.230415 1 Item19 -11.573168 0.288003 -2.826167 4.397137 10.851711 1 Item20 -7.993835 -1.204352 -1.924345 0.829829 10.314768 1 Item21 -9.225135 -2.512925 -1.608051 1.420301 9.766411 1 Item22 -8.402783 -0.890500 3.189703 3.754479 7.481063 1 Item23 -9.888180 -3.345775 1.965667 2.906369 11.488815 1 Item24 -11.686270 -5.389477 2.556932 1.661153 9.717826 1 Item25 -12.599567 -0.266091 -3.936308 0.751762 10.405225 1 Item26 -11.365093 -1.919706 -0.458052 1.861843 9.521104 1 Item27 -11.027619 -2.944884 -2.792962 4.144322 7.958556 1 Item28 -11.795160 -6.769646 0.908383 1.005066 11.240333 1 Item29 -13.629933 0.674184 -3.386853 -0.095859 10.490432 1 Item30 -7.823298 -5.452589 -2.336894 1.919889 9.421125 1 Item31 6.360118 6.794549 4.168188 -4.492538 -12.297555 0 Item32 8.774682 0.492721 1.587909 -5.486587 -12.361278 0 Item33 7.768181 3.989776 3.289377 -0.895444 -13.067171 0 Item34 8.581133 2.922361 3.952544 -4.450362 -6.787133 0 Item35 6.176519 4.526292 -2.771599 -3.477187 -7.316202 0 Item36 11.539781 -0.892880 2.868221 -1.456557 -11.008881 0 Item37 11.743034 3.527726 -0.635792 -2.067965 -7.151524 0 Item38 10.527299 1.460768 0.862300 -1.967742 -8.819727 0 Item39 8.148808 5.157964 -0.916135 -1.551958 -9.467513 0 Item40 9.241432 1.483108 -0.981933 1.046571 -8.504166 0 Item41 9.444197 4.963927 1.127201 -0.523484 -9.102817 0 Item42 11.545396 4.604968 4.818171 -5.046815 -13.494675 0 Item43 11.890988 1.220710 -2.069796 -2.942747 -8.996673 0 Item44 11.810480 2.031465 2.987976 -5.699606 -10.026246 0 Item45 10.806543 5.275155 4.969420 -2.792596 -11.345561 0 Item46 10.261177 3.586077 3.340220 -3.339244 -7.795038 0 Item47 8.407544 2.887997 3.104312 -3.734519 -9.758477 0 Item48 7.317484 5.553850 1.618000 -2.525315 -13.613147 0 Item49 10.654500 2.579577 1.922452 -3.765160 -10.414136 0 Item50 6.940641 3.525834 -0.660756 -4.105869 -10.064455 0