TABTEST <table_of_frequencies>,L performs various tests for independence etc. by simulation for a two-dimensional table of frequencies. The table is given in edit field in the form used by the TAB operations. The table can be also given in a simpler form without any labels: TABLE TEST / Example (An empty line indicates the end of the table.) 7 2 0 3 1 5 Different assumptions about the stochastic structure of the table are determined by a FIX specification with following alternatives: FIX=Fisher Both row and column margins fixed (exact test) FIX=RC Both row and column margins fixed FIX=C Column margins (vertical sums) fixed FIX=R Row margins (horizontal sums) fixed FIX=N No fixed margins, only the grand total fixed FIX=F(i,j) Element of row i and column j fixedFIX=FIT Goodness of fit test for an n x 2 tableThe test statistics used in simulation is selected by a TEST specification: TEST=X^2 is the common Pearson's chi-square statistics: sum of (O-E)^2/E . TEST=G^2 is the likelihood statistics: sum of -2*O*log(O/E) . TEST=PROB is the probability of the simulated table. The unknown margin probabilities are replaced by simulated relative frequencies. We call this `Probability statistics'. In case FIX=Fisher, TEST=PROB is always selected. In other cases TEST=X^2 is default. Maximum number of replicates is given by SIMUMAX (default 10000000). The seed number of the random number generator (either 'rand' or 'urand') is given by RAND (default RAND=rand(12345). See RAND? . The process may be interrupted by pressing any key. The results are displayed after each 100 replicates as a table of the form N P Confidence interval (level=0.95) # of replicates Estimate of P lower limit s.e. Standard error upper limit The confidence level for P is set by CONF=p (0.8<p<1). Default is CONF=0.95 The two-way table is also saved as a matrix by using the specification MATRIX=<name_of_a_matrix_file> , say, MATRIX=T . This matrix can be analyzed further, for example, by the sucro command /X2 which computes various derived tables as matrices such as the expected frequencies and decomposition of the X^2 statistics in cells and margins. ........................................................................ Example: TABLE T / This 2x2 table is tested with default settings. 7 2 1 4 TABTEST T,CUR+1G = Goodness of fit test for an n x 2 tableT = More information on TAB operations S = More information on statistical tests

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