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Conjoint Analysis

         Sunny Bose
Definitions & Key Terms
   Conjoint Analysis- Is a term given to a multi variate analytical tool
    that CONsiders JOINTly the effect of the individual attributes of a
    product or a brand. This helps the marketer to analyze the utility that
    each varied combinations of the attributes of the product is providing
    to the customer.
   Utility- The subjective preference judgment of an individual that
    represent the total value or worth he is putting on the product having
    a combination of certain attributes.
   Part- Worth- The values of the individual attributes that sum up or
    produce the total utility for the product.
   Additive Model- Assumes that individuals just add up the individual
    Part- Worths to get to the overall utility.
   Interaction Model- Unlike the additive model, here the individual
    also considers the interactions between two independent Part- Worth
    while valuing the overall utility of the product.
Definitions & Key Terms (Contd.)
   Factorial Design- Method of designing stimuli by generating all
    possible combinations of levels. For example a three factor (attribute)
    conjoint analysis with three levels each will result in 3x3x3 = 27
    combinations which will form the total stimuli in the analysis.
   Full Profile Method- Analysis carries on based on the respondent’s
    evaluation of all the possible combinations in the stimuli.
   Fractional Factorial Design- Method of designing a stimuli that is a
    subset of the full factorial design so as to estimate the results based
    on the assumed compositional rule.
   Orthogonality- Joint occurrence of levels of different attributes will
    be equal or in proportional number of times.
   Validation Stimuli- Set of stimuli that are not used for estimation of
    the Part- Worths. Estimated Part- Worths are then used to predict
    preference for the validation stimuli to assess validity and reliability of
    the original estimates.
Definitions & Key Terms (Contd.)
   Pair wise Comparison Method- Method of presenting a pair of
    stimuli to the respondent for evaluation, with the respondent
    selecting one of the stimuli as preferred.
   Self Explicated Model- Compositional technique where the
    respondent provides the Part- Worth estimates directly without
    making choices.
   Adaptive (Hybrid) Conjoint Analysis (ACA)- ACA asks
    respondents to evaluate attribute levels directly, and then to assess
    the importance of each attribute, and finally to make paired
    comparisons between profile descriptions.
   Choice Based Conjoint (CBC)- An alternative form of conjoint
    analysis where the respondent’s task is of choosing a preferred
    profile similar to what he would actually buy in the marketplace. CBC
    analysis lets the researcher include a "None" option for respondents,
    which might read "I wouldn't choose any of these."
Usages of Conjoint Analysis
   Breaking down customer’s overall utility from the
    product into values put in by him on the products
    individual attributes.
   Product planning and design
   Accommodating conflicting interests-
       Buyers want all of the most desirable features at lowest
        possible price
       Sellers want to maximize profits by:
           Minimizing the costs of features provided
           Providing products that offer greater overall value than the
            competitors.
   Market segmentation based on the utility structures
Conjoint Analysis- Process Flow
                                  Stage 2
          Stage 1          Decide on the attributes              Stage 3
   Identify the research       and their levels         Chose the methodology
          problem           Focused Group is the        Traditional, ACA or CBC
                               most practiced




                                   Stage 5                     Stage 4
         Stage 6
                                 Run analysis             Collect responses
     Interpret results
                           Individual or aggregative     Rating or rank order




         Stage 7                    Stage 8
   Validate the results    Apply the Conjoint results
   External or internal       Product designing,
       validity tests      market segmentation etc.
Types of Conjoint Analysis
   Traditional Conjoint
       Full Profile
       Partial Profile / Fractional Factorial Design
       Paired Comparison
       Self Explicated
   Adaptive Conjoint Analysis (ACA)
   Choice Based Conjoint (CBC)
How Conjoint Analysis works
   Decompose the overall utility into its individual
    attribute’s part- worths
       Additive model- Overall utility = Sum total of all part-
        worths
           Total worth/ Utility = Part- worth of level i for factor 1+ Part-
            worth of level j for factor 2 + …. Part- worth of level n for factor
            m
       Interaction model- Overall utility > Sum total of all part-
        worths
           Total worth/ Utility = Part- worth of level i for factor 1+ Part-
            worth of level j for factor 2 + …. Part- worth of level n for factor
            m + I (Interaction effect between the attributes and their level)
   Generally, the Traditional Conjoint analyses use
    additive models whereas ACA and CBC use
    interaction models
Traditional Conjoint Analysis
   Full Profile
   Partial Profile
   Paired Comparison Test
   Self Explicated Method
Full Profile
   Let us assume that a cricket bat   Attribute   Level 1        Level 2
    maker is planning to launch a      Type        Heavy          Long handle
    new professional level cricket     Wood        Kashmir willow English
    bat. Based on the inputs from                                 willow
    focused group, salesman and        Grip        Single         Multi
    experts, he finds the following
    attributes important for a
    professional bat.
                                       Attribute       Level
   From the table let us take a
    profile as an example that a       Wood            English
                                                       Willow
    respondent would require to
    rank.                              Grip            Single

   Like the profile in example, a     Type            Long handle
    full profile would provide 2x2x2
    = 8 combinations
Full Profile (Contd.)
   Now, let us assume a respondent ranks all these
    profiles based on his utility from these profiles (1-
    Highest and 8- Lowest)

    Profile   Type          Wood             Grip     Rank
    1         Heavy         English willow   Multi    1
    2         Heavy         English willow   Single   2
    3         Heavy         Kashmir          Multi    4
                            willow
    4         Heavy         Kashmir          Single   5
                            willow
    5         Long handle   English willow   Multi    3
    6         Long handle   English willow   Single   6
    7         Long handle   Kashmir          Multi    7
                            willow
Full Profile (Contd.)
     To estimate the Part- Worth of each attribute,
      average ranks or ratings for each attribute level is
      measured
    Attribute Levels   Ranks Across Stimuli   Average Rank (AR)   Deviation from Overall Rank
                                                                  (DOR)

    Type
    Heavy              1,2,4,5                3.0                 -1.5
    Long handle        3,6,7,8                6.0                 +1.5
    Wood
    English willow     1,2,3,6                3.0                 -1.5
    Kashmir willow     4,5,7,8                6.0                 +1.5
    Grip
    Multi              1,3,4,7                3.75                -0.75
    Single             2,5,6,8                5.25                +0.75
Full Profile (Contd.)
   These deviations of ranks from the overall average rank
    is used to compute the individual Part- Worths
       StD= SDxSV, where SV= No. of levels/ SD= 6/10.125= 0.592
    Attribute Levels   Reversed Deviations   Squared Deviation   Standardized Deviation   Estimated Part-
                       (RD)                  (SD)                (StD)                    Worth

    Type
    Heavy              +1.5                  2.25                +1.332                   +1.154
    Long handle        -1.5                  2.25                -1.332                   -1.154
    Wood
    English willow     +1.5                  2.25                +1.332                   +1.154
    Kashmir            -1.5                  2.25                -1.332                   -1.154
    willow
    Grip
    Multi              +0.75                 0.5625              +0.333                   +0.577
    Single             -0.75                 0.5625              -0.333                   -0.577
Full Profile (Contd.)
       Let us check whether the Part- worths are reliable
    Pro    Type    Wood   Grip     P-W      P- W     P-W      Total    Estimate   Ran
    file                           Type     Wood     Grip     P-W      Rank       k
    1      Heavy   EW     Multi    1.154    1.332    0.333    2.819    1          1

    2      Heavy   EW     Single   1.154    1.332    -0.333   2.153    2          2

    3      Heavy   KW     Multi    1.154    -1.332   0.333    0.155    4          4

    4      Heavy   KW     Single   1.154    -1.332   -0.333   -0.511   6          5

    5      LH      EW     Multi    -1.154   1.332    0.333    0.511    3          3

    6      LH      EW     Single   -1.154   1.332    -0.333   -0.155   5          6

    7      LH      KW     Multi    -1.154   -1.332   0.333    -2.153   7          7

    8      LH      KW     Single   -1.154   -1.332   -0.333   -2.819   8          8
Partial Profile
   Partial profile is a necessity when the number of
    attributes and the levels within the attributes are
    large.
       In such a case, it becomes almost impossible for the
        respondent to evaluate the full profile
           4 attributes having 4 levels each will result in 4x4x4x4 = 256
            profiles
   Partial profile considers a subset of the entire which
    would be representative of the full profile
       This is done through an orthogonal process so that the
        profiles contain the levels equally or in proportion.
       Partial profile eases the pressure of evaluation for the
        respondent
           Out of 256 profiles, a partial profile might contain only 16
            representative profiles
Paired Comparison Test
   Also known as Trade off Approach as the respondent
    is forced to make a trade- offs between the attribute
    levels.
   Instead of full profiles or partial profiles, trade off
    matrices are created considering all the levels of two
    attributes taken at a time.
   Incase of more than two attributes sequential trade
    off matrices are given to be ranked or rated in an
    order such that there is at least one attribute from
    the previous matrix is present.
       In Paired Comparison Tests, the value of the individual
        attributes come out from the different ratings its levels
        receive in a paired combination with the other attributes.
Paired Comparison Test (Contd.)
   Let us consider that a realtor is considering to build a
    multi storied residential apartment. From his prior
    knowledge he knows that other than price, the
    important considerations for purchasing a flat are:
       proximity of schools, markets, hospitals and other utilities,
       availability of transportation to various locations of the city
       Provision of elevator and garage
   On these attributes he can give the following options:
            Attributes       Level 1          Level 2
            Proximity        Yes              No
            Transportation   Yes              No
            Provision        Yes              No
Paired Comparison Test (Contd.)
   Unlike Full Profile which would generate 2x2x2 = 8
    combinations, the Paired Comparison Test in this
    case would generate
         Attributes             Proximity (Yes)   Proximity (No)
         Transportation (Yes)   9                 6
         Transportation (No)    5                 3

         Attributes             Proximity (Yes)   Proximity (No)
         Provision (Yes)        9                 6
         Provision (No)         4                 2

         Attributes             Provision (Yes)   Provision (No)
         Transportation (Yes)   10                4
         Transportation (No)    4                 2
Paired Comparison Test (Contd.)
   From the matrices it is evident that when considering the
    combinations between transportation - provision and transportation –
    proximity, the respondent has rated the provision (Yes) higher than
    proximity (Yes) and again provision (No)lower than proximity
    (No)(transportation is constant).
       Value of Provision > Value of Proximity
   Similarly, between provision- transportation and provision- proximity,
    the combinations of transportation (Yes) got higher rating than
    proximity (Yes) whereas, transportation (No) got lower ratings than
    proximity (No).
       Value of Transportation > Value of Proximity
   Finally, taking proximity constant in proximity- provision and
    proximity- transportation, the combinations with provisions (Yes)
    have either got equal or higher rating than combinations with
    transportation (Yes) and provision (No) have equal or lower ratings
    than transportation (No).
       Value of Provision > value of Transportation
   Thus, Provision > Transportation > Proximity
Self Explicated Method
   Purists do not consider it to be a conjoint as there is
    no trade off to be made.
   Compositional techniques as the respondents rate or
    rank the attributes and their levels.
   Preferable option over traditional conjoint when the
    attributes and their levels are large
   Used as a fundamental part of ACA or hybrid
    conjoint.
Self Explicated Method (Contd.)
   Please rate the levels in a scale of 1-10 (1- Lowest,
    10- Highest) based on the value you think they
    would provides you and divide 100 points among the
    attributes based on the importance you give to each
    of them for contributing to the functionability of a
    laptop (Total points should not be more or less than
    100).
    Attribute   Level 1   Level 2     Level 3           Level 4
    Hard Disk   150 GB    200 GB      250 GB            300 GB
    RAM         1 GB      2 GB        3 GB              4 GB
    Processor   1.5 GHz   1.8 GHz     2.0 GHz           2.2 GHz
    OS          Win XP    Win Vista   Win Vista (Pro)   Linux
                          (Home)
Self Explicated Method (Contd.)
   Below is the table showing the self explicated
    ratings. Note, Total possible value for the entire
    profile = (40)x100= 4000
       Hard Disk = 980/4000 = 0.245
       RAM = 560/4000 = 0.14
       Processor = 750/ 4000 = 0.1875
       Operating System = 440/4000 = 0.11
Attribute        Level 1   Level 2   Level 3   Level 4   Total
Hard Disk (35)   5         6         8         9         (28)x35= 980
RAM (20)         6         6         7         9         (28)x20= 560
Processor (25)   6         7         8         9         (30)x25= 750
OS (20)          4         6         9         3         (22)x20= 440
Self Explicated Method (Contd.)
   The inherent problem with this method is that
    respondents inadvertently tend to give higher ratings
    to the levels that have higher value. As a result, at
    the initial stage itself this estimation technique is
    flawed.
   Due to the absence of trade off while rating the
    stimuli, the respondents have the inclination to rate
    the attributes and their levels based on what he
    thinks to be most ideal and not what gives him the
    greatest utility.
   When the attributes are large it is taxing on the
    respondent to rate them or put value to them
    objectively.
Thank You.

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Conjoint analysis

  • 1. Conjoint Analysis Sunny Bose
  • 2. Definitions & Key Terms  Conjoint Analysis- Is a term given to a multi variate analytical tool that CONsiders JOINTly the effect of the individual attributes of a product or a brand. This helps the marketer to analyze the utility that each varied combinations of the attributes of the product is providing to the customer.  Utility- The subjective preference judgment of an individual that represent the total value or worth he is putting on the product having a combination of certain attributes.  Part- Worth- The values of the individual attributes that sum up or produce the total utility for the product.  Additive Model- Assumes that individuals just add up the individual Part- Worths to get to the overall utility.  Interaction Model- Unlike the additive model, here the individual also considers the interactions between two independent Part- Worth while valuing the overall utility of the product.
  • 3. Definitions & Key Terms (Contd.)  Factorial Design- Method of designing stimuli by generating all possible combinations of levels. For example a three factor (attribute) conjoint analysis with three levels each will result in 3x3x3 = 27 combinations which will form the total stimuli in the analysis.  Full Profile Method- Analysis carries on based on the respondent’s evaluation of all the possible combinations in the stimuli.  Fractional Factorial Design- Method of designing a stimuli that is a subset of the full factorial design so as to estimate the results based on the assumed compositional rule.  Orthogonality- Joint occurrence of levels of different attributes will be equal or in proportional number of times.  Validation Stimuli- Set of stimuli that are not used for estimation of the Part- Worths. Estimated Part- Worths are then used to predict preference for the validation stimuli to assess validity and reliability of the original estimates.
  • 4. Definitions & Key Terms (Contd.)  Pair wise Comparison Method- Method of presenting a pair of stimuli to the respondent for evaluation, with the respondent selecting one of the stimuli as preferred.  Self Explicated Model- Compositional technique where the respondent provides the Part- Worth estimates directly without making choices.  Adaptive (Hybrid) Conjoint Analysis (ACA)- ACA asks respondents to evaluate attribute levels directly, and then to assess the importance of each attribute, and finally to make paired comparisons between profile descriptions.  Choice Based Conjoint (CBC)- An alternative form of conjoint analysis where the respondent’s task is of choosing a preferred profile similar to what he would actually buy in the marketplace. CBC analysis lets the researcher include a "None" option for respondents, which might read "I wouldn't choose any of these."
  • 5. Usages of Conjoint Analysis  Breaking down customer’s overall utility from the product into values put in by him on the products individual attributes.  Product planning and design  Accommodating conflicting interests-  Buyers want all of the most desirable features at lowest possible price  Sellers want to maximize profits by:  Minimizing the costs of features provided  Providing products that offer greater overall value than the competitors.  Market segmentation based on the utility structures
  • 6. Conjoint Analysis- Process Flow Stage 2 Stage 1 Decide on the attributes Stage 3 Identify the research and their levels Chose the methodology problem Focused Group is the Traditional, ACA or CBC most practiced Stage 5 Stage 4 Stage 6 Run analysis Collect responses Interpret results Individual or aggregative Rating or rank order Stage 7 Stage 8 Validate the results Apply the Conjoint results External or internal Product designing, validity tests market segmentation etc.
  • 7. Types of Conjoint Analysis  Traditional Conjoint  Full Profile  Partial Profile / Fractional Factorial Design  Paired Comparison  Self Explicated  Adaptive Conjoint Analysis (ACA)  Choice Based Conjoint (CBC)
  • 8. How Conjoint Analysis works  Decompose the overall utility into its individual attribute’s part- worths  Additive model- Overall utility = Sum total of all part- worths  Total worth/ Utility = Part- worth of level i for factor 1+ Part- worth of level j for factor 2 + …. Part- worth of level n for factor m  Interaction model- Overall utility > Sum total of all part- worths  Total worth/ Utility = Part- worth of level i for factor 1+ Part- worth of level j for factor 2 + …. Part- worth of level n for factor m + I (Interaction effect between the attributes and their level)  Generally, the Traditional Conjoint analyses use additive models whereas ACA and CBC use interaction models
  • 9. Traditional Conjoint Analysis  Full Profile  Partial Profile  Paired Comparison Test  Self Explicated Method
  • 10. Full Profile  Let us assume that a cricket bat Attribute Level 1 Level 2 maker is planning to launch a Type Heavy Long handle new professional level cricket Wood Kashmir willow English bat. Based on the inputs from willow focused group, salesman and Grip Single Multi experts, he finds the following attributes important for a professional bat. Attribute Level  From the table let us take a profile as an example that a Wood English Willow respondent would require to rank. Grip Single  Like the profile in example, a Type Long handle full profile would provide 2x2x2 = 8 combinations
  • 11. Full Profile (Contd.)  Now, let us assume a respondent ranks all these profiles based on his utility from these profiles (1- Highest and 8- Lowest) Profile Type Wood Grip Rank 1 Heavy English willow Multi 1 2 Heavy English willow Single 2 3 Heavy Kashmir Multi 4 willow 4 Heavy Kashmir Single 5 willow 5 Long handle English willow Multi 3 6 Long handle English willow Single 6 7 Long handle Kashmir Multi 7 willow
  • 12. Full Profile (Contd.)  To estimate the Part- Worth of each attribute, average ranks or ratings for each attribute level is measured Attribute Levels Ranks Across Stimuli Average Rank (AR) Deviation from Overall Rank (DOR) Type Heavy 1,2,4,5 3.0 -1.5 Long handle 3,6,7,8 6.0 +1.5 Wood English willow 1,2,3,6 3.0 -1.5 Kashmir willow 4,5,7,8 6.0 +1.5 Grip Multi 1,3,4,7 3.75 -0.75 Single 2,5,6,8 5.25 +0.75
  • 13. Full Profile (Contd.)  These deviations of ranks from the overall average rank is used to compute the individual Part- Worths  StD= SDxSV, where SV= No. of levels/ SD= 6/10.125= 0.592 Attribute Levels Reversed Deviations Squared Deviation Standardized Deviation Estimated Part- (RD) (SD) (StD) Worth Type Heavy +1.5 2.25 +1.332 +1.154 Long handle -1.5 2.25 -1.332 -1.154 Wood English willow +1.5 2.25 +1.332 +1.154 Kashmir -1.5 2.25 -1.332 -1.154 willow Grip Multi +0.75 0.5625 +0.333 +0.577 Single -0.75 0.5625 -0.333 -0.577
  • 14. Full Profile (Contd.)  Let us check whether the Part- worths are reliable Pro Type Wood Grip P-W P- W P-W Total Estimate Ran file Type Wood Grip P-W Rank k 1 Heavy EW Multi 1.154 1.332 0.333 2.819 1 1 2 Heavy EW Single 1.154 1.332 -0.333 2.153 2 2 3 Heavy KW Multi 1.154 -1.332 0.333 0.155 4 4 4 Heavy KW Single 1.154 -1.332 -0.333 -0.511 6 5 5 LH EW Multi -1.154 1.332 0.333 0.511 3 3 6 LH EW Single -1.154 1.332 -0.333 -0.155 5 6 7 LH KW Multi -1.154 -1.332 0.333 -2.153 7 7 8 LH KW Single -1.154 -1.332 -0.333 -2.819 8 8
  • 15. Partial Profile  Partial profile is a necessity when the number of attributes and the levels within the attributes are large.  In such a case, it becomes almost impossible for the respondent to evaluate the full profile  4 attributes having 4 levels each will result in 4x4x4x4 = 256 profiles  Partial profile considers a subset of the entire which would be representative of the full profile  This is done through an orthogonal process so that the profiles contain the levels equally or in proportion.  Partial profile eases the pressure of evaluation for the respondent  Out of 256 profiles, a partial profile might contain only 16 representative profiles
  • 16. Paired Comparison Test  Also known as Trade off Approach as the respondent is forced to make a trade- offs between the attribute levels.  Instead of full profiles or partial profiles, trade off matrices are created considering all the levels of two attributes taken at a time.  Incase of more than two attributes sequential trade off matrices are given to be ranked or rated in an order such that there is at least one attribute from the previous matrix is present.  In Paired Comparison Tests, the value of the individual attributes come out from the different ratings its levels receive in a paired combination with the other attributes.
  • 17. Paired Comparison Test (Contd.)  Let us consider that a realtor is considering to build a multi storied residential apartment. From his prior knowledge he knows that other than price, the important considerations for purchasing a flat are:  proximity of schools, markets, hospitals and other utilities,  availability of transportation to various locations of the city  Provision of elevator and garage  On these attributes he can give the following options: Attributes Level 1 Level 2 Proximity Yes No Transportation Yes No Provision Yes No
  • 18. Paired Comparison Test (Contd.)  Unlike Full Profile which would generate 2x2x2 = 8 combinations, the Paired Comparison Test in this case would generate Attributes Proximity (Yes) Proximity (No) Transportation (Yes) 9 6 Transportation (No) 5 3 Attributes Proximity (Yes) Proximity (No) Provision (Yes) 9 6 Provision (No) 4 2 Attributes Provision (Yes) Provision (No) Transportation (Yes) 10 4 Transportation (No) 4 2
  • 19. Paired Comparison Test (Contd.)  From the matrices it is evident that when considering the combinations between transportation - provision and transportation – proximity, the respondent has rated the provision (Yes) higher than proximity (Yes) and again provision (No)lower than proximity (No)(transportation is constant).  Value of Provision > Value of Proximity  Similarly, between provision- transportation and provision- proximity, the combinations of transportation (Yes) got higher rating than proximity (Yes) whereas, transportation (No) got lower ratings than proximity (No).  Value of Transportation > Value of Proximity  Finally, taking proximity constant in proximity- provision and proximity- transportation, the combinations with provisions (Yes) have either got equal or higher rating than combinations with transportation (Yes) and provision (No) have equal or lower ratings than transportation (No).  Value of Provision > value of Transportation  Thus, Provision > Transportation > Proximity
  • 20. Self Explicated Method  Purists do not consider it to be a conjoint as there is no trade off to be made.  Compositional techniques as the respondents rate or rank the attributes and their levels.  Preferable option over traditional conjoint when the attributes and their levels are large  Used as a fundamental part of ACA or hybrid conjoint.
  • 21. Self Explicated Method (Contd.)  Please rate the levels in a scale of 1-10 (1- Lowest, 10- Highest) based on the value you think they would provides you and divide 100 points among the attributes based on the importance you give to each of them for contributing to the functionability of a laptop (Total points should not be more or less than 100). Attribute Level 1 Level 2 Level 3 Level 4 Hard Disk 150 GB 200 GB 250 GB 300 GB RAM 1 GB 2 GB 3 GB 4 GB Processor 1.5 GHz 1.8 GHz 2.0 GHz 2.2 GHz OS Win XP Win Vista Win Vista (Pro) Linux (Home)
  • 22. Self Explicated Method (Contd.)  Below is the table showing the self explicated ratings. Note, Total possible value for the entire profile = (40)x100= 4000  Hard Disk = 980/4000 = 0.245  RAM = 560/4000 = 0.14  Processor = 750/ 4000 = 0.1875  Operating System = 440/4000 = 0.11 Attribute Level 1 Level 2 Level 3 Level 4 Total Hard Disk (35) 5 6 8 9 (28)x35= 980 RAM (20) 6 6 7 9 (28)x20= 560 Processor (25) 6 7 8 9 (30)x25= 750 OS (20) 4 6 9 3 (22)x20= 440
  • 23. Self Explicated Method (Contd.)  The inherent problem with this method is that respondents inadvertently tend to give higher ratings to the levels that have higher value. As a result, at the initial stage itself this estimation technique is flawed.  Due to the absence of trade off while rating the stimuli, the respondents have the inclination to rate the attributes and their levels based on what he thinks to be most ideal and not what gives him the greatest utility.  When the attributes are large it is taxing on the respondent to rate them or put value to them objectively.