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tabcmp - Student T and F test for mean and variance comparisons 
tabcmp
[parameter=value] 
tabcmp compares two columns from two tables.
It uses the Student’s t-test and f-test to  assess if their means and variances
are significantly different. It also assesses the two distributions using
a non-parametric Kolmogorov-Smirnov test. 
 
t-test      different mean? But variances are expected to be the same
tu-test      different mean? But variances are allowed different
tp-test       different mean? Paired arrays
f-test        different variances? Different arrays allowed
ks2           non-parametric Kolmogorov-Smirnov test
 
The following parameters are recognized in any order if the
keyword is also given: 
- in1= 
- First dataset, a simple ascii table. No default.
- in2= 
- Second dataset. No default. 
- col1= 
- Column from 1st dataset (in1=). Default:
1. 
- col2= 
- Column from 2nd dataset (in2=). Default: 1. 
- nmax= 
- Max allocated lines
in data if from a pipe. Default: 10000. 
Here is an example to compare
two gaussian distributions, fully done  through NEMO. First create two simple
tables, random gaussian numbers with mean 0 and dispersion 1 (make sure
they are not identical, or use seed=-1 in tabmath):
    % nemoinp 1:20 | tabmath - - "rang(0,1)" all > tab1
    % nemoinp 1:20 | tabmath - - "rang(0,1)" all > tab2
    % cmp tab1 tab2
    % tabcmp tab1 tab2
    F-test: f=1.33497  prob=0.535006
    T-test: t=-0.77149  prob=0.445188
    TU-test: tu=-0.77149  prob=0.445285
    TP-test: tp=-0.796496  prob=0.435584
    KS2-test: ks2=0.15  prob=0.965485
Paired t-Test cannot handle identical arrays. 
tabhist(1NEMO)
,
tabplot(1NEMO)
, table(5NEMO)
, nemoinp(1NEMO)
, tabmath(1NEMO)
 
http://www.physics.csbsju.edu/stats/KS-test.n.plot_form.html
Filessrc/kernel/tab/tabcmp.c AuthorPeter Teuben Update History
7-Oct-97    V0.1 adopted from Numerical Recipes routines    PJT
8-oct-97    V0.2 added col1=,col2= and same-table processing    PJT
5-oct-00    V0.3 added KS2 test, also from NR    PJT
10-aug-03    fixed kstwo() indexing error    PJT
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