Data Analysis III: Logistic Regression, Conjoint Analysis (Week 10) Flashcards

1
Q

What is logistic regression?

A

Logistic regression: Binary variables for DVs

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2
Q

What is the equation for logistic regression?

A

Zi = βo + β1 Xi + … + εi

*Coefficients βs affect Z, not response directly

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3
Q

What is the formula relating Z to response?

A

Responsei = e^Zi / (1 + e^Zi)

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4
Q

What are the statistics involved in logistic regression?

A

No F-stat and R^2

1) Hit rate
2) Coefficients - Significance and sign only. No size.

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5
Q

What is hit rate?

A

Hit rate = Overall accuracy of the model

Higher hit rate -> More accurate model

Cutoff value = 0.5 (i.e. Hit rate at least 50%)

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6
Q

What adjustments should we make when responses are unbalanced?

A

We should adjust cutoff value to empirical mean of DV

To increase accuracy of model (not increase hit rate)

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7
Q

What is conjoint analysis?

A
  • Asking consumers to rate bundle of attributes (with certain levels)
  • INFER how impt attributes are based on their ratings
  • For product design
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8
Q

How does conjoint analysis reveal the importance of attributes of a product?

A

Customer must make tradeoffs. Conjoint analysis reveals the “value system” behind customer decisions

The more the product rating changes when we vary attribute levels, the more important the attribute

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9
Q

What are the types of conjoint analysis?

A

1) Rating-based

2) Choice-based

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10
Q

What is rating-based conjoint analysis?

A

Ask respondents to RATE products, one prdt at a time

Ratings = On a scale

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11
Q

What is choice-based conjoint analysis?

A

Ask respondents to CHOOSE a prdt, one set at a time

Choice = 0/1

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12
Q

Which attributes do we include in conjoint analysis?

A
  • Find out which attribs. are IMPT to consumers through focus grps, interviews, business reports
  • Attribs we can control
  • Some attribs are not actionable but impt, e.g. brand
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13
Q

Which attribute levels do we include in conjoint analysis?

A
  • Which attrib. levels do we consider for our new/revised product?
  • Which levels are AVAILABLE in the mkt?
  • Use concrete levels e.g. 3x3cm vs. small
  • Possible to exclude combinations but advised to minimise no. of exclusions
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14
Q

What is full factorial design?

A

Present all possible combinations

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15
Q

How do you calculate number of combinations for factorial design?

A

No. of levels for Attrib. 1 x No. of levels for Attrib. 2 x …

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16
Q

What is fractional factorial design?

A

Present a FRACTION of all combinations

MINIMUM no. of combinations that allows for testing of all main effects

17
Q

What are the advantages and disadvantages of fractional factorial design?

A

Adv: Able to capture all main effects
Disadv: Won’t be able to capture interaction effect

18
Q

What are part-worths?

A

Regression coefficients of conjoint analysis

19
Q

How do we interpret part-worths?

A

How much UTILITY does black give (as opposed to base red)?

BASE product has utility of ZERO

20
Q

How do we interpret attribute importance from part-worths?

A
  1. Calculate Range(= Max utility - Min utility) for each attribute
  2. Sum the total range for all attributes
  3. Calculate Importance = Range/Sum x 100%
21
Q

How do we interpret price from part-worths?

A

Price as an attribute in conjoint analysis:

Calculate whether Option 1 has a greater utility than Option 2

22
Q

What are the different choice rules? Which rule applies?

A
  1. First choice
  2. Share of preferences

Depends on context

23
Q

What is the first choice choice rule?

A

Consumer picks product that gives HIGHEST UTILITY

  • Rational decision making
  • High price
  • High involvement
24
Q

What is the share of preferences choice rule?

A

Utility of product over all products

E.g. Share product 1 = Utility prdt 1 / Utility over all prdts

25
Q

What is the process of conjoint analysis?

A
  1. Determine attributes & levels
  2. Create design
  3. Collect ratings from many respondents
  4. Estimate part-worths (regression)
    - Per respondent
    - For groups of respondents
  5. Determine:
    - Attribute importance
    - Ideal prdt (possibly for diff. segments)
    - Market shares