MTB > exec 'pp_disc' MTB > ################################################################## MTB > # MACRO 'PP_DISC' # MTB > # (CHARACTER GRAPHICS VERSION) # MTB > # -------------------------------------------------------------- # MTB > # INFERENCE ABOUT 2 BINOMIAL PROPORTIONS # MTB > # USING A FINITE COLLECTION OF P1,P2 MODELS - UNIFORM PRIOR # MTB > # -------------------------------------------------------------- # MTB > # OUTPUT: COLUMNS 'P1', 'P2', 'PRIOR', 'POST', 'DIFF', 'P_DIFF'# MTB > ################################################################## FOR EACH P DISTRIBUTION: ------------------------ INPUT LO AND HI VALUES: DATA> 0 1 INPUT NUMBER OF MODELS: DATA> 11 INPUT OBSERVED NUMBER OF SUCCESSES AND FAILURES IN FIRST SAMPLE: DATA> 2 13 INPUT OBSERVED NUMBER OF SUCCESSES AND FAILURES IN SECOND SAMPLE: DATA> 14 1 Posterior distribution of P1 and P2: (Rows and columns are expressed in percentage format.) ROWS: PER_1 COLUMNS: PER_2 0 10 20 30 40 50 60 70 0 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 10 0.000000 0.000000 0.000000 0.000000 0.000021 0.000389 0.003996 0.025940 20 0.000000 0.000000 0.000000 0.000000 0.000018 0.000337 0.003457 0.022441 30 0.000000 0.000000 0.000000 0.000000 0.000007 0.000133 0.001371 0.008899 40 0.000000 0.000000 0.000000 0.000000 0.000002 0.000032 0.000329 0.002133 50 0.000000 0.000000 0.000000 0.000000 0.000000 0.000005 0.000048 0.000311 60 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000004 0.000025 70 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000001 80 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 90 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 1000.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 80 90 100 0 0.000000 0.000000 0.000000 10 0.112142 0.291657 0.000000 20 0.097016 0.252319 0.000000 30 0.038471 0.100055 0.000000 40 0.009219 0.023978 0.000000 50 0.001346 0.003502 0.000000 60 0.000107 0.000277 0.000000 70 0.000003 0.000009 0.000000 80 0.000000 0.000000 0.000000 90 0.000000 0.000000 0.000000 1000.000000 0.000000 0.000000 CELL CONTENTS -- POST:DATA TYPE 'Y' AND RETURN TO SEE A GRAPH OF THE POSTERIOR DISTRIBUTION: y - 1.05+ - . . . . . . . . . . . P1 - . . . . . . . . . . . - - . . . . . . . . . . . 0.70+ . . . . . . . . . . . - . . . . . . . . . . . - - . . . . . . . . . . . - . . . . . . . . / / . 0.35+ - . . . . . . . / / X . - . . . . . . . / X X . - - . . . . . . . / X X . 0.00+ . . . . . . . . . . . +---------+---------+---------+---------+---------+------P2 0.00 0.20 0.40 0.60 0.80 1.00 '0' < -3.0E-02 < '.' < 8.26E-03 < '/' < 4.66E-02 < 'X' TYPE 'Y' AND RETURN TO SEE A TABLE OF THE POSTERIOR DISTRIBUTION OF THE DIFFERENCE IN PROBABILITIES P2-P1: y Row DIFF P_DIFF 1 -1.0 0.000000 2 -0.9 0.000000 3 -0.8 0.000000 4 -0.7 0.000000 5 -0.6 0.000000 6 -0.5 0.000000 7 -0.4 0.000000 8 -0.3 0.000000 9 -0.2 0.000000 10 -0.1 0.000001 11 0.0 0.000011 12 0.1 0.000116 13 0.2 0.000907 14 0.3 0.005484 15 0.4 0.025466 16 0.5 0.088886 17 0.6 0.223011 18 0.7 0.364461 19 0.8 0.291657 20 0.9 0.000000 21 1.0 0.000000