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Conjoint Analysis Assignment

Learning objective: To practice Conjoint Analysis- an advanced product design technique.
Desired output: This is a practice assignment. Answer all three questions below. Your answers should be double spaced. There is no page limit, but be concise and to the point.
Due date: 10pm, Monday, Oct 27. Submit to Turnitin.

1. A credit card company conducts a conjoint survey to find out how consumers trade off various aspects of credit card offerings: the brand, annual fee and credit limit. A potential consumer rates each of the following nine credit cards on a 0 to 9-point scale, where 0 means that the offering is really terrible and 9 means that the offering is very excellent.

Card #1
Discover
$20 annual fee
$2,500 credit limit Score: 3
3
| Card #2
MasterCard
$20 annual fee
$5,000 credit limit Score: 8
8
| Card #3
Visa
$10 annual fee
$5,000 credit limit Score: 9
9
| Card #4
MasterCard
No annual fee
$1,000 credit limit Score: 4
4
| Card #5
Discover
$10 annual fee
$1,000 credit limit Score: 1
1
| Card #6
Discover
No annual fee
$5,000 credit limit Score: | Card #7
Visa
No annual fee
$2,500 credit limit Score: 5
5
| Card #8
MasterCard
$10 annual fee
$2,500 credit limit Score: | Card #9
Visa
$20 annual fee
$1,000 credit limit Score: 2
2
|

a. Utility function: Calculate the utility function of each brand based on the above response. Show how you calculate the utilities to demonstrate understanding. Record the utilities in the table below
Part worth utilities: Brand | Utility | Annual Fee | Utility | Credit Limit | Utility | Visa | 5.33 | No annual fee | 5.33 | $1,000 credit limit | 2.33 | MasterCard | 6.00 | $10 annual fee | 5.33 | $2,500 credit limit | 4.67 | Discover | 3.67 | $20 annual fee | 4.33 | $5,000 credit limit | 8.00 | Difference | 2.33 | | 1.00 | | 5.67 | | | | | | |

Importance scores (%):
Brand: 25.89%
Annual Fee: 11.11%
Credit limit: 63.00%
Total: 9.00

Show how you calculate the importance scores. Which feature is most/least important?

The importance scores are calculated by subtracting the lowest utility number from the highest utility number leaving you with a difference. I.e: Annual Fee 5.33-4.33=1.00. Next, you add the individual utilities column and then divide by the calculated difference. Last, you divide the individual calculated difference of each column by the total difference.

5.33-4.33= 1.00 2.33+1.00+5.67=9 1.00/9.00=11.11%

Most- Credit limit (63.0%)
Least- Annual fee (11.1%)

b. Market simulation: The credit card company is considering three offerings: * Card #1: Discover, $No annual fee, 2,500 credit limit * Card #2: Visa, $20 annual fee, 5,000 credit limit * Card #3: MasterCard, $10 annual fee, 2,500 credit limit

Use the Maximum Utility Rule to predict which offer the above consumer would prefer.

Maximum Utility Rule | | | | | | | | Card 1 | | Card 2 | | Card 3 | | | Feature | Utility | Feature | Utility | Feature | Utility | Brand | Discover | 3.67 | Visa | 5.33 | Master | 6.00 | Annual Fee | No fee | 5.33 | 20 | 4.33 | 10 | 5.33 | Credit Limit | 2500 | 4.67 | 5000 | 8.00 | 2500 | 4.67 | Total | | 13.67 | | 17.66 | | 16.00 |

* The consumer would prefer card #2; Visa, $20 Annual fee, and $5000 Credit limit. (17.66)

Use the Share of Utility Rule to predict the probability of the consumer buying each offer?

Total Utility Share of utility (%)
Card 1 13.67 29
Card 2 17.66 37
Card 3 16 34
Total 47.33 100

Show how you calculate the total utility and share of utility rule. Explain the results

You calculate the total utility by adding the three utilities (brand, annual fee, and credit limit) for each Card (1,2,3) individually.

To calculate the share of utility you divide the individual Card utility totals by the Total utility. Once you get the answer you multiply by 100 to get the share of utility percentage.

The most popular card is Card #2. The least popular is Card #1.

2. Jamie Austen is using a conjoint analysis approach to evaluate marriage proposals, and has identified three key attributes:

Attribute 1 – “Income”, which takes on three levels,
• Plus $50K, that is, $50,000 more than Jamie’s salary
• Matching, that is, about the same as Jamie’s salary
• Minus $50K, that is, $50,000 less than Jamie’s salary
Attribute 2 – “Education”, which takes on three levels,
• High School
• College BA
• PhD
Attribute 3 – “Personality”, which also takes on three levels,
• Fantastic (funny, charming, nice)
• Nice (nice)
• So-so (a little embarrassing in company, but basically OK)

After some soul-searching, Jamie rates these nine potential proposers on a 10-point scale, where 1 means that the proposer is terrible and 10 means that the proposer is excellent:

Income | Education | "Personality" | Rating | Plus $50K | High School | Fantastic | 6 | Plus $50K | College | Nice | 8 | Plus $50K | PhD | So-so | 7 | Minus $50K | High School | So-so | 1 | Minus $50K | College | Fantastic | 5 | Minus $50K | PhD | Nice | 3 | Matching | High School | Nice | 4 | Matching | College | So-so | 2 | Matching | PhD | Fantastic | 9 |

a. Please estimate Jamie’s utility function for the attribute levels. Show how you calculate the utilities

Person 1Plus $50KHigh SchoolFantasticScore: 6 | Person 2Plus $50KCollegeNiceScore: 8 | Person 3Plus $50KPhDSo-soScore: 7 | Person 4Minus $50KHigh SchoolSo-soScore: 1 | Person 5Minus $50KCollegeFantasticScore: 5 | Person 6Minus $50KPhDNiceScore: 3 | Person 7Matching $High SchoolNiceScore: 4 | Person 8Matching $CollegeSo-soScore: 2 | Person 9Matching $PhDFantasticScore: 9 |

Importance Scores:

Income: | | Education: | | Personality: | | Plus $50K | 7.00 | High School | 3.67 | Fantastic | 6.67 | Minus $50K | 3.00 | College | 5.00 | Nice | 5.00 | Matching | 5.00 | PhD | 6.33 | So-so | 3.33 | | | | | | | Differences: | Difference | % | Income | 4.00 | 40.0 | Education | 2.66 | 26.6 | Personality | 3.34 | 33.4 | Total | 10.00 | 100 |

b. Which attribute is most important, and which one is least important?
Income: Greatest
Least: Education

c. Suppose Jamie meets two persons:
Pat, who has a Matching salary (5), College education and a Nice personality.
Dana, who makes $25,000 more than Jamie, has a PhD, and a So-so personality.
Which person is more attractive marriage partner, according to Jamie’s utility function? Show how you arrive at the answer.

Dana is the more attractive marriage partner in relation to Jamie’s utility function.

Utility Table | | | | | | Pat | | Dana | | | Feature | Utility | Feature | Utility | Income | Matching | 5.00 | Plus $25K | 6.00(in the middle of 5/7) | Education | College | 5.00 | PhD | 6.33 | Personality | Nice | 5.00 | So-so | 3.33 | Total | | 15.00 | | 15.66 |

What is the probability that she will choose Pat? Dana? Show how you arrive at the answer.

Pat= 48.92%
Dana= 51.08%

Share of Utility | | | | Total Utility | Share of Utility % | Pat | 15.00 | 48.92 | Dana | 15.66 | 51.08 | Total | 30.66 | 100.0% |

3. This question is based on your team file at the end of period 3 (beginning of period 4). You will be assigned a brand in your firm’s brand portfolio for this assignment. Identify its primary target segment and 2-3 top competitive brands in the segment. a. Estimate the total conjoint utility of your brand and the competitive brands. | Segment Share: Buffs | | Period 2 | Period 3 | SAFE | 8.3% | 6.4% | SUNY | 18.4% | 19.9% | SURF | 4.3% | 4.1% |

Segment Buffs | | | | | | | | | SAFE | | SUNY | | SURF | | Total | | Feature | Utility | Feature | Utility | Feature | Utility | | Design | 4 | 51 | 4 | 51 | 7 | 52 | 154 | Max Fre | 46 | 63 | 45 | 62 | 40 | 56 | 181 | Power | 91 | 94 | 90 | 95 | 75 | 40 | 229 | Price | 340 | 88 | 410 | 50 | 485 | 5 | 143 | Total | -- | 296 | -- | 258 | -- | 153 | 707 | Predicted Segment Share | 41.9% | | 36.5% | | 21.6% | | Actual Segment Share | 48.4% | | 22.6% | | 6.9% | |

b. Based on a/, use the Maximum Utility Rule to predict which brand the target segment would prefer.

* The Buffs segment would prefer SAFE based on the Max. Utility numbers.

c. Based on a/, use the Share of Utility Rule to predict the segment share of each brand. * Seen Above: * SAFE: 41.9% * SUNY: 36.5% * SURF: 21.6%

d. Comment on the extent that the actual segment share of each brand matches your prediction in c/. Explain the sources of discrepancies, if any.

* SAFE, has more than it deserves. This is because the actual segment size is higher than the predicted segment share. Increased advertising is not needed due to the fact that the numbers are close and already exceeding of what is deserved. As for SUNY, they must increase advertising. SUNY has good power which is the most important in the BUFFS market. SUNY should consider dropping their price due to the fact that SAFE is a better product and is $70 cheaper. SURF must modify and put money into R&D to increase its Power along with increasing advertising because it has low awareness. The gap between the predicted and actual is too large and is unacceptable. Price is the second most important feature to Buffs and the competition is not close enough to SAFE. e. Base on the above analysis; propose what to do to improve the performance of your brand in period 4.

* Power and Price are the two most important characteristics for the Buffs segment when looking at their perceptions and habits. SAFE leads the competition is Power and Price. Our Price is the best in the market and the competition cannot hang with it. We can increase our price to $350 so we can generate more of a profit due to our superior product. Our marketing/advertising efforts will not change much. The Buffs market is expected to decrease in the next 5 periods so we will not be putting our money and effort into SAFE in comparison to our other products.

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