Topic 21: Learning About Two Proportions

Minitab Local Macro pp_disc

Finds posterior distribution for (p1, p2) when a uniform prior is used.

TO RUN:

Suppose that the prior distribution is located in columns 'p1', 'p2', 'prior' and you observe 4 successes and 16 failures in the first sample and 8 successes and 12 failures in the second sample. To display the posterior probabilities for the two proportions, type the following command in the Minitab Session Window.

MTB > %pp_disc 'p1' 'p2' 'prior';

SUBC> data 4 16 8 12.

Probability distribution of P1 and P2:

(Rows and columns are expressed in percentage format.)

Rows: PER_1 Columns: PER_2

10 20 30 40 50 60 70 80

10 0.000140 0.008735 0.045094 0.070837 0.047355 0.013993 0.001521 0.000034

20 0.000341 0.021231 0.109596 0.172164 0.115093 0.034008 0.003697 0.000083

30 0.000204 0.012690 0.065507 0.102905 0.068793 0.020327 0.002210 0.000050

40 0.000055 0.003405 0.017575 0.027608 0.018456 0.005454 0.000593 0.000013

50 0.000007 0.000450 0.002321 0.003646 0.002437 0.000720 0.000078 0.000002

60 0.000000 0.000026 0.000135 0.000213 0.000142 0.000042 0.000005 0.000000

70 0.000000 0.000000 0.000003 0.000004 0.000003 0.000001 0.000000 0.000000

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

90

10 0.000000

20 0.000000

30 0.000000

40 0.000000

50 0.000000

60 0.000000

70 0.000000

80 0.000000

90 0.000000

Cell Contents --

PROB:Data