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DECISION ANALYSIS WITH SAMPLE INFORMATION 565
Figure 13.13 The PDC Decision Tree
Strong (s ) 8
1
Small (d ) P(s 1 |F )
1
6
Weak (s 2 ) 7
P(s |F )
2
Strong (s ) 14
1
Favourable 3 Medium (d ) 7 P(s |F )
1
2
Report P(F) Weak (s )
2
P(s 2 |F ) 5
Strong (s 1 ) 20
Large (d ) P(s |F )
1
3
8
Weak (s 2 ) –9
Market Research P(s 2 |F )
Study 2 Strong (s 1 ) 8
1
Small (d 1 ) P(s |U )
9
Weak (s 2 ) 7
P(s 2 |U )
Strong (s 1 ) 14
Unfavourable Medium (d ) P(s |U )
1
2
1 Report P(U) 4 10
Weak (s 2 ) 5
P(s 2 |U )
Strong (s 1 )
Large (d ) P(s |U ) 20
1
3
11
Weak (s 2 ) –9
P(s 2 |U )
Strong (s ) 8
1
Small (d 1 ) P(s 1 )
12
Weak (s 2 ) 7
P(s 2 )
Strong (s 1 ) 14
No Market Research Medium (d ) P(s 1 )
2
Study 5 13
Weak (s 2 ) 5
P(s 2 )
Strong (s )
1
Large (d ) P(s 1 ) 20
3
14
Weak (s 2 ) –9
P(s 2 )
Efficiency of Sample Information
In Section 13.3 we showed that the expected value of perfect information (EVPI) for
the PDC problem is R3.2 million. We never anticipated that the market research
report would obtain perfect information, but we can use an efficiency measure to
express the value of the market research information. With perfect information
having an efficiency rating of 100 per cent, the efficiency rating E for sample
information is computed as follows.
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