MTB > exec 'm_norm_t' MTB > ################################################################## MTB > # MACRO 'M_NORM_T' # MTB > # -------------------------------------------------------------- # MTB > # TESTS THE HYPOTHESIS THAT M = M0 USING A NORMAL PRIOR # MTB > ################################################################## ENTER THE NULL HYPOTHESIS MEAN M0: DATA> 170 ENTER THE PRIOR PROBABILITY OF M0: DATA> .5 FOR THE ALTERNATIVE HYPOTHESIS THAT M = M0, ENTER STANDARD DEVIATION(S) OF THE NORMAL PRIOR DISTRIBUTION: DATA> .5 1 2 4 8 DATA> end ENTER THE STANDARD DEVIATION OF THE POPULATION: DATA> 3 OBSERVED DATA IN WORKSHEET? (TYPE 'y' OR 'n'.) IF YES, INPUT NUMBER OF COLUMN. IF NO, INPUT OBSERVED SAMPLE MEAN AND SAMPLE SIZE: y DATA> 3 OBS_DATA 182 172 173 176 176 180 173 174 179 175 Mean of OBS_DATA= 176.00 Total number of observations in OBS_DATA= 10 The Bayes factor in favor of the null hypothesis is: BF_HK 0.0146215 0.0000390 0.0000002 0.0000000 0.0000000 The Bayes factor against the null hypothesis is: BF_KH 68 25661 5278923 38592804 43294996 The posterior probability of the null hypothesis is: prob_H 0.0144108 0.0000390 0.0000002 0.0000000 0.0000000