Worksheet to Construct Prior Probability Distribution for Project
(you fill one out for each survey question you ask)
Your name: _________________________________________
Question you will ask (with a yes or no response):
_____________________________________________________________
In my problem, p is the proportion of all BGSU undergraduate students who _____________________________________________________________
Make a guess at what YOU think the value of p is: ____________________
We will assume in defining your prior that p can only be one of the values 0, .1, .2, .... , .8, .9, 1
Constructing your prior:
A. First fill out the Whole number column.
1. Assign the number 10 to the value of p that you think is most likely. Put this number in the table.
2. Consider other values of p that are not the most likely. If you think another value of p is half a likely as the most likely value, give it a 5. If you think a value of p is 1/10th as likely as the most likely value, give it a 1. Continue until you've assigned whole numbers to all 11 values of p.
3. If you give a value of p a 0, this means that you think that it is impossible that the proportion is this value.
B. Convert the whole numbers to probabilities.
1. Find the sum of the whole numbers -- put the sum in the SUM row.
2. Divide each whole number by the sum to get the probabilities. (The probabilities will add up to one.)
p |
Whole number |
Probability |
0 |
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.1 |
||
.2 |
||
.3 |
||
.4 |
||
.5 |
||
.6 |
||
.7 |
||
.8 |
||
.9 |
||
1 |
||
SUM |