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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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