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Business Intelligence & Data Mining-2

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    Conjoint Analysis

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    Different Perspectives, Different Goals

    Buyers want all of the most desirable features atlowest possible price

    Sellers want to maximize profits by:

    1) minimizing costs of providing features2) providing products that offer greater overall value than thecompetition

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    Demand Side of Equation

    Typical market research role is to focus first ondemand side of the equation

    After figuring out what buyers want, next assesswhether it can be built/provided in a cost-effective manner

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    Products/Services are Composed of

    Features/Attributes Credit Card:

    Brand + Interest Rate + Annual Fee + Credit Limit

    On-Line Brokerage:

    Brand + Fee + Speed of Transaction + Reliability of

    Transaction + Research/Charting Options

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    Breaking the Problem Down

    If we can find out how buyers value the

    components of a product, we will be in a better position to design those that improve profitability

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    How to find out What Customers Want?

    Ask Direct Questions about preference:

    What brand do you prefer? What Interest Rate would you like? What Annual Fee would you like? What Credit Limit would you like?

    Answers often trivial / obvious and unenlightening

    (e.g. respondents prefer low fees to high fees, highcredit limits to low credit limits)

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    Stated Importances

    Importance Ratings often have low discrimination:

    Average Importance Ratings

    7.5

    8.1

    7.2

    6.7

    0 5 10

    Credit Limit

    Annual Fee

    Interest Rate

    Brand

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    Stated Importances

    Answers often have low discrimination, with mostanswers falling in very important categories

    Answers sometimes useful for segmenting themarket, but still not as actionable as could be

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    What is Conjoint Analysis?

    Research technique developed in early 70s

    Measures how buyers value components of a

    product/service bundle

    Dictionary definition-- Conjoint: Joined together,combined.

    Marketers term -- Features CONsidered JOINTly

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    How Does Conjoint Analysis Work?

    We vary the product features (independent variables) to buildmany (usually 12 or more) product concepts (Bundle of features)

    We ask respondents to rate/rank those product concepts(dependent variable)

    Based on the respondents evaluations of the product concepts,we figure out how much unique value (utility) each of thefeatures added

    Regress dependent variable on independent variables (the betasequal part worth utilities.)

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    Whats So Good about Conjoint?

    More realistic questions:

    Would you prefer . . .

    210 Horsepower or 140 Horsepower 17 MPG 28 MPG

    If choose left, you prefer Power. If choose right, you prefer Fuel Economy

    Rather than ask directly whether you prefer Power overFuel Economy, we present realistic tradeoff scenarios andinfer preferences from your product choices

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    Tradeoffs

    When respondents are forced to make difficult

    tradeoffs, we learn what they truly value

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    First Step: Create Attribute List

    Attributes assumed to be independent (Brand,Speed, Color, Price, etc.)

    Each attribute has varying degrees, or levels

    Brand: Coke, Pepsi, Sprite Speed: 5 pages per minute, 10 pages per minute Color: Red, Blue, Green, Black

    Each level is assumed to be mutually exclusive of theothers (a product has one and only one level among the possible levels of that attribute)

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    Rules for FormulatingAttribute Levels

    Levels are assumed to be mutually exclusive

    Attribute: Add-on features

    level 1: Sunroof level 2: GPS Systemlevel 3: Video Screen

    If define levels in this way, you cannot determine thevalue of providing two or three of these features at thesame time

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    Rules for FormulatingAttribute Levels

    Levels should have concrete/unambiguousmeaning

    Very expensive vs. Costs $575

    Weight: 5 to 7 kilos vs. Weight 6 kilos

    One description leaves meaning up to individualinterpretation, while the other does not

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    Rules for FormulatingAttribute Levels

    Dont include too many levels for any oneattribute

    The usual number is about 3 to 5 levels per attribute The temptation is to include many, many levels of price, so we can

    estimate peoples preferences for each But, you spread your precious observations across more

    parameters to be estimated, resulting in noisier (less precise)measurement of ALL price levels

    Better approach usually is to interpolate between fewer more precisely measured levels for not asked about prices

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    Rules for FormulatingAttribute Levels

    Whenever possible, try to balance the number of levelsacross attributes

    There is a well-known bias in conjoint analysis called theNumber of Levels Effect

    Holding all else constant, attributes defined on more levels thanothers will be biased upwards in importance

    For example, price defined as ($10, $12, $14, $16, $18, $20) willreceive higher relative importance than when defined as ($10, $15,

    $20) even though the same range was measured The Number of Levels effect holds for quantitative (e.g. price,

    speed) and categorical (e.g. brand, color) attributes

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    Rules for FormulatingAttribute Levels

    Make sure levels from your attributes can combine freelywith one another without resulting in utterly impossiblecombinations (very unlikely combinations are OK)

    Resist temptation to make attribute prohibitions (prohibiting levelsfrom one attribute from occurring with levels from otherattributes)!

    Respondents can imagine many possibilities (and evaluate themconsistently) though the organization conducting the study doesnt

    plan to/cant offer some of the combinations. By avoiding prohibitions, we usually improve the estimates of the combinationsthat we will actually focus on.

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    Conjoint Analysis Output

    Utilities (part worths)

    Importances

    Market simulations

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    Conjoint Utilities (Part Worths)

    Numeric values that reflect how desirable differentfeatures are:

    Feature & Level UtilityVanilla 2.5

    Chocolate 1.8

    25 5.335 3.250 1.4

    The higher the utility, the more desirable for the buyer

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    Conjoint Importances

    Measure of how much influence each attribute has on buyers choices

    Best minus worst level of each attribute, percentaged:

    Vanilla - Chocolate (2.5 - 1.8) = 0.7 15.2%25 - 50 (5.3 - 1.4) = 3.9 84.8%

    ----- --------Totals: 4.6 100.0%

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    Market Simulations

    Make competitive market scenarios and predict which products respondents would choose

    Accumulate (aggregate) respondent predictions to makeShares of Preference (some refer to them as marketshares)

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    Market Simulation Example

    Predict market shares for 35 Vanilla cone vs. 25Chocolate cone for Respondent #1:

    Vanilla (2.5) + 35 (3.2) = 5.7Chocolate (1.8) + 25 (5.3) = 7.1

    Respondent #1 chooses 25 Chocolate cone!

    Repeat for rest of the respondents. . .

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    Market Simulation Results

    Predict responses for 500 respondents, and we might seeshares of preference like:

    65% of respondents prefer the 25 Chocolate cone

    35%

    65%

    Vanilla @ 35

    Chocolate @ 25

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    Conjoint Market Simulation Assumptions

    All attributes that affect buyer choices in the real worldhave been accounted for

    Equal availability (distribution)

    Respondents are aware of all products

    Long-range equilibrium (equal time on market)

    Equal effectiveness of sales force

    No out-of-stock conditions

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    Shares of Preference Dont Always Match

    Actual Market Shares Conjoint simulator assumptions usually dont hold true in

    the real world

    But this doesnt mean that conjoint simulators are notvaluable!

    Simulators turn esoteric utilities into concrete shares

    Conjoint simulators predict respondents interest in products/services assuming a level playing field

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    Value of Conjoint SimulatorsSome Examples

    Lets you play what-if games to investigate the value ofmodifications to an existing product

    Lets you estimate how to design new products to maximize buyer interest at low manufacturing cost

    Lets you investigate product line extensions: do wecannibalize our own share or take mostly fromcompetitors?

    Lets you estimate demand curves, and cross-elasticitycurves

    Can provide an important input into demand forecastingmodels (for various price levels)

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    Three Main Flavors of ConjointAnalysis

    Traditional Full-Profile Conjoint

    Adaptive Conjoint Analysis (ACA)

    Choice-Based Conjoint (CBC), also known asDiscrete Choice Modeling (DCM)

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    Strengths of Traditional Conjoint

    Good for both product design and pricing issues

    Can be administered on paper or computer/internet

    Shows products in full-profile, which many arguemimics real-world

    Can be used even with very small sample sizes

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    Weaknesses of Traditional Full-Profile

    Conjoint Limited ability to study large number of attributes

    (more than about six)

    Limited ability to measure interactions and otherhigher-order effects (cross-effects)

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    Traditional Conjoint(Six Attributes)

    Using a 100-pt scale where 0 means definitely

    would NOT and 100 means definitely WOULD

    How likely are you to purchase

    1997 Honda AccordAutomatic transmission

    No antilock brakesDriver and passenger airbag

    Blue exterior/Black interior $18,900

    Your Answer:___________

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    Six Attributes: Challenging

    Respondents find six attributes in full-profilechallenging

    Need to read a lot of information to evaluate each card Each respondent typically needs to evaluate around 24-

    36 cards

    T diti l C j i t C d S t M th d

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    Traditional Conjoint: Card-Sort Method(15 Attributes)

    Using a 100-pt scale where 0 means definitely would

    NOT and 100 means definitely WOULD

    How likely are you to purchase

    1997 Honda AccordAutomatic transmission

    No antilock brakesDriver and passenger airbagBlue exterior/Black interior

    50,000 mile warrantyLeather seats

    optional trim package3-year loan

    5.9% APR financingCD-player

    No cruise controlPower windows/locksRemote alarm system

    $18,900

    Your Answer:___ ________

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    15 Attributes: Near Impossible

    Faced with so much reading, respondents are forcedto simplify (focus on just the top few attributes inimportance)

    To get good individual-level results, respondentsneed to evaluate around 60-90 cards

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    Adaptive Conjoint Analysis

    Developed in 80s by Rich Johnson, Sawtooth Software

    Devised as way to study more attributes than was prudent

    with traditional full-profile conjoint

    Adapts to the respondent, focusing on most importantattributes and most relevant levels

    Shows only a few attributes at a time (partial profile) ratherthan all attributes at a time (full-profile)

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    Steps in ACA Survey (1)

    Self-Explicated Priors Section Preference Ratings for the levels of any attributes that

    we do not know ahead of time (e.g. brand, color).

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    Steps in ACA Survey (2)

    Self-Explicated Priors Section Show best and worst levels of each attribute, and ask

    respondents how important the difference is.

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    Steps in ACA Survey (3)

    Conjoint Pairs / trade-offs (show only two tofive attributes at a time)

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    Adaptive Conjoint Analysis Example

    Sample ACA survey:http://www.sawtoothsoftware.com/support/technical-support/104-support/sample-surveys/77-aca-sample-study

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    Strengths of ACA

    Ability to measure many attributes, withoutwearing out respondent

    Respondents find interview more interesting and

    engaging

    Efficient interview: high ratio of informationgained per respondent effort

    Can be used even with very small sample sizes

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    Weaknesses of ACA

    Partial-profile presentation less realistic than realworld Respondents may not be able to assume attributes not

    shown are held constant

    Often not good at pricing research Tends to understate importance of price

    Must be computer-administered (PC or Web)

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    Choice-Based Conjoint (CBC)

    Became popular starting in early 90s

    Respondents are shown sets of cards and asked to

    choose which one they would buy

    Can include None of the above response

    Ch i B d C j i Q i

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    Choice-Based Conjoint Question

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    Strengths of CBC

    Questions closely mimic what buyers do in real world:choose from available products

    Can investigate interactions, alternative-specific effects

    Can include None alternative

    Paper or Computer/Web based interviews possible

    k f

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    Weaknesses of CBC

    Usually requires larger sample sizes than with Full Profileor ACA

    Tasks are more complex, so respondents can process fewerattributes (CBC recommended

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    The basic conjoint analysis model can be represented by the

    following formula:

    where

    U(X) = overall utility of an alternative= the part-worth contribution or utility associated with

    the j th level ( j, j = 1, 2, . . . k i) of the i th attribute(i , i = 1, 2, . . . m)

    x jj = 1 if the j th level of the i th attribute is present= 0 otherwise

    k i = number of levels of attribute im = number of attributes

    Conjoint Analysis Model

    xij j

    ij

    m

    i

    k X U

    i

    ==

    =11

    )(

    ij

    Importance of Attributes

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    The importance of an attribute, I i is defined in terms of the

    range of the part-worths, across the levels of thatattribute:

    The attribute's importance is normalized to ascertain itsimportance relative to other attributes, W i :

    So that

    i

    =

    =m

    ii

    ii

    I I W

    1

    11

    ==

    m

    iiW

    Importance of Attributes

    H h M d l W k

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    How the Model Works

    Conjoint analysis is run as a regression model

    Dependent variable Ratings or rankings

    Aim of the model estimation: is to estimate the part-worth of every attribute level.

    Methods: ANOVA, Dummy Variable Regression,Logit model and Probit model.

    The regression coefficients provide the part utility ofeach level of attributes.

    From that we can find range of utility and relativeimportance of attributes.

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    Assessing reliability and validity

    Goodness-of-fit of the model (if dummy-variable regression R Square)

    Test-retest reliability repeat interview

    Holdout/ validation internal validity

    ld d

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    Holdout Cards

    Rated by subjects but are not included in the conjointanalysis for coefficient / utilities estimations, or

    Generated from another random plan, (not the maineffects experimental plan) without any duplication.

    Conjoint computes correlations between the observedand predicted rank orders for these cards as a checkon the validity of the utilities.

    It can be expected that holdouts will always havelower correlation .