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    Understanding Sources of Brand Equity: A New Method to Represent Unbiased

    Perceptions

    ABSTRACT

    In this study we propose a new method to represent unbiased perceptions of brands. Themethod is a likelihood-based model that simultaneously disentangles a major class of

    psychological bias affecting attribute based perceptions, and represent the common structure

    across multiple variable batteries, reducing the dimensionality of the problem. Our results

    indicate that it is feasible to deepen brand equitys sources through a cognitive representation

    that depicts the actual brand performance on attributes.

    KEYWORDS: Brand ratings, perceptual mapping, dimensionality reduction, brand equity.

    EMAC TRACK: Marketing Research and Research Methodology

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    In brand positioning literature, researchers often deal with the necessity to collect

    multiple batteries of measurements from the same set of respondents (DeSarbo and Wu,

    2001). In this line, as previously pointed out in related literature, a promising research stream

    is the one that jointly represents different types of data in a common dimensional space, that

    is a single geometric representation (Carroll and Green, 1997). Following DeSarbo and Wu

    (2001), our study proposes a MDS procedure that endeavours to analyze jointly variousdifferent variable batteries, such as brand-by-brand proximities (dissimilarities) and brand-by-

    attribute ratings (attribute ratings), sorting out at the same time sources of bias in ratings.

    The scale we chose is the brand personality measure, which has been developed in the

    context of consumer behaviour research (Aaker, 1997). Previous research on this topic was

    mainly focused - on the symbolic use of brands, since consumers often fill brands with human

    personality traits (e.g. Gilmore, 1919; Aaker, 1997). The general tenet of this literature is that

    the greater the correspondence between human characteristics and those that describe a brand,

    the greater the preference for the brand (Malhotra, 1988; Sirgy, 1982). Relatedly, the brand

    personality dimensions can be seen as a key way to differentiate a brand in a product category

    (Halliday, 1996) and therefore to compare brands.

    A specific contribution to the study is given by psychological literature that identifiesdifferent classes of bias affecting consumers evaluation of brands along attributes. As Dillon

    et al. (2001) discuss, classical perceptual mapping may be not informative and difficult to

    interpret in situations in which interattributes correlations are considerably high. See figures

    1a, b (Appendix B) for a clear depiction of this effect within the two categories considered in

    our study. This fact makes it impossible to evaluate the effect of a given attribute on the

    purchasing behaviour for each brand. Marketing literature on brand equity (Aaker, 1991;

    Keller, 1998; Dillon et al., 2001) recognizes that a brand rating contains something more than

    a mere performance on specific attributes.

    The process through which consumers obtain information likely depends on several

    factors, such as a specific brand related experience, the level of brand awareness, context

    effects that may affect information salience, earlier attribute ratings that affect later attribute

    ratings, and so on. The general brand impressions bias is relevant when information on a

    particular attribute are unavailable for a brand. In terms of brand rating variation this effect

    could be not due to an attribute specific evaluation of the brand. In this study we do not

    account for response style biases (Clemans, 1956; Rossi et al., 2000) while we drive our

    attention to the possibility to disentangle brand holistic preference from the joint set of brand

    ratings on specific attributes.

    THE STUDY

    The design of the study reflects our need to control for brands relevance for the target group

    as well as for intellectual and emotional situations. After identifying the product categories tobe used1, we built a questionnaire using the scale developed in the literature on the FCB

    matrix (McWilliam, 1997) to determine products positioning in the FCB matrixs quadrants.

    We decided to assess brand ratings in high involvement conditions, where the analytic

    valuation of the brand performance on one or more attributes is supposed to be high,

    controlling for emotional and intellectual situations in which the overall brand impressions

    (that is non-attribute information) may, or not, play a crucial role. We chose the 2 product

    categories resulted as polarities among the factors generated as outcome of the factor analysis,

    i.e.: notebook computer (high involvement, intellectual learning), cellular phone (high

    1 This information was collected through a questionnaire in which we asked to rate, on a 7 point Likert scale, thelevel of familiarity and relevance for each of 12 product categories we found in the literature on the FCB matrix

    (Weinberger and Spotts, 1989; Lambin, 2002). This procedure is aimed to obtain internal validity for the study.

    3

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    involvement, emotional learning). Then we assigned brand names to each product category

    using subjects evoked set2.

    As already mentioned in the above section, the measure we selected to map brand

    perceptions is the brand personality scale (Aaker, 1997) which is composed of 15 items and

    measured with 7-point Likert scales. To this scale an attribute-free section was added in

    which subjects were asked to express dissimilarity judgments among brands on a 7-pointLikert scale. Appendix A shows the questionnaire structure. Acknowledging the cognitive

    effort required of respondents to make multiple brand-by-attribute ratings, we wanted to avoid

    any possible biases that may arise in responding to such a complex and large battery of

    questions, exceeding human capabilities to remain concentrated (e.g. Brown and Melamed,

    1990). Along these lines, we collected data from two samples of subjects, one for the

    notebook category and the other for the cellular category.Afterwards, as we will describe in

    detail in the next section, we develop a method which allows to ascertain the homogeneity of

    perceptions through the two groups.

    The questionnaires were distributed to university students. We gathered 130

    questionnaires for each product category, however a total of 211 questionnaires were

    completed and considered usable (109 cellular phone questionnaires, 102 notebookquestionnaires).

    THE MODEL

    Starting with subjects perceived brand ratings, the model implemented in the study

    decomposes the holistic dimension, defined as general brand impressions, and the unbiased

    perception of a brand on attributes, which represents the brand specific associations. This

    measure is then projected on T-dimensional space (where T = 2) using a joint representation

    of both attribute-free and attribute-based perceptions.

    Let Jj ...1= be the brands within a given product category. Brands evaluated by I

    consumers Ii ...1= along the attributes Mm ...1= . Leti

    mjx , be the evaluation given by

    individual i of brand j along attribute m . For each couple of brands let i kj , be the perceived dissimilarity between brand j and brand k rated by individual i . The aim ofthe paper is to develop a statistical procedure to simultaneously reduce the original

    dimensionality of the problem, and disentangle brand preference effects and attribute specific

    evaluations.

    To reduce the dimensionality of the problem we use an approach that finds a projection

    matrix ( )tmA ,= that, given the M -dimensions representation of brand j (namely thevector mjj xx ,1, ... of judgments along attributes), outputs a T -dimensional (usually

    2=T for perceptual mapping purposes) representation

    = ==

    m

    mTmmk

    m

    mmmkj xxAX

    1

    ,,

    1

    1,, ,..., . The matrix A will be the projection that ensures

    the best correspondence between empirical non attribute-based judgments jk, and distances

    jkd , between projected brands in the final T space. Namely distances in the projected

    spaces are defined by Euclidean norm:

    = ==

    =T

    t

    m

    m

    tm

    i

    mk

    m

    m

    tm

    i

    mj

    i

    kj xxd1

    2

    1

    ,,

    1

    ,,, (1)

    2 The notebook category is composed by the followings 6 competing brands: Acer, Apple, Asus, Hewlett-Packard, Sony, Toshiba. The cellular phone category is composed by the following 6 competing brands: LG,

    Motorola, Nokia, Samsung, Siemens, Sony-Ericsson.

    4

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    As in DeSarbo and Wu (2003) we can suppose that jkii

    jk

    i

    jkd ,,,, += with

    ),0(,, Njki . This allows us to solve the problem of finding A maximizing the

    associated likelihood =

    =I

    i

    P

    iLL1

    where:

    =J

    kj

    diiP

    i

    i

    kj

    i

    kj

    eXAL2

    2

    ,,

    2)(

    22

    1),|,(

    (2)

    is the individual likelihood for the projection problem.

    The second problem requires a different approach. We suppose (see Dillon et al., 2001) that

    attribute specific judgements mjx , for brand j can be decomposed into a brand preference

    effect jand an attribute specific evaluation mj , . We can suppose that for each observed

    individual i , it holds mjijmji

    mjx ,,,, ++= where ),0(,, Nmji . This allows us a

    likelihood representation of the problem, with individual likelihood given by:

    = =

    +

    =J

    j

    M

    m

    x

    ijmmj

    Di

    jmmjimj

    eXBL1 1

    2

    ))((

    2,

    2

    2,,

    21)|,,,(

    (3)

    Maximization of =

    =I

    i

    D

    iLL1

    gives the best choice of matrix mj,= of genuine attribute

    based representation of brands, and vector jB = of holistic evaluation of brands.Note that

    P

    iL and

    DiL are defined by different psychological underlying processes. This

    (Ramsay, 1980; MacKay et al., 1995) allows to consider )mji ,, and )jki ,, independentand to evaluate a joint likelihood

    CL . The individual likelihoodC

    iL is formally the productD

    i

    P

    i

    P

    iLLL = but the definition of distances jkd , between projected brands must discount the

    holistic terms. The new definition of jkd , is obtained modifying equation (1) and gives:

    ( ) ( ) = ==

    =

    T

    t

    m

    m

    tmk

    i

    mk

    m

    m

    tmj

    i

    mj

    i

    kj xxd1

    2

    1

    ,,

    1

    ,,, (4)

    Consequently the complete likelihood of the problem is:

    =

    =I

    i

    iiP

    i

    iD

    i BXALXBLXBAL1

    ),,|,()|,,(),|,,,,(

    (5)

    where ( )i mjxX ,= is the MJI matrix of attribute based data, ( )i

    mj

    i xX ,= is the i th

    MJ block pertaining individual i , and with the same notation ( )i mj ,= and( )i mj

    i

    ,= store the 2/)1( JJI dissimilarities judgements.

    RESULTS

    Figure 1a and Figure 1b (Appendix B) are the PCA maps obtained from attribute-based

    ratings respectively in the cellular phone and notebook product categories. The first PCA

    component accounts for about 90% of variance in the case of cellular phones and for more

    than 95% in the case of notebooks. These results are consistent with Dillon et al. (2001) even

    with a different measurement of perceptions. The two situations are non informative in terms

    of attribute specific performance for each brand. As the maps show the attributes arrows have

    all the same orientation. Therefore brand ratings dont indicate why some brands are mostliked, as the first dimension provides only a connotative meaning. Conversely, Figure 2a and

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    2b (Appendix B) show a clear and informative configuration of brand positions along

    attributes. In fact disentangling general brand impressions (i.e. brand image) the configuration

    of brands and attributes spreads out to explain the specific impact of attributes on each brand.

    The following two examples may clarify the implications of our result. Acer is a leader in the

    national notebook market used in this study, however the PCA map (Figure 1b) fails to assign

    a set of favourable brand associations. Figure 2b explains the origin of this lack of brandpersonality, as remarked by the holistic rating calculated in Table 2b. In the same line, Nokia

    seems to be the favourite cellular phone brand in the PCA map (Figure 1a). However, table 2a

    fails to show the highest holistic rating for this brand, and map 2a fails to show a well defined

    positioning on most attributes.

    CONCLUSIONS

    The objective of the study was to offer a perceptual mapping approach that depicts the real

    perceived brand positioning along a set of attributes. In fact, perceived brand performance on

    one or more attributes may lack revealing diagnostic power given the spurious intertwinement

    among the actual brand-specific associations and the overall global brand impressions.

    The main contribution of the study is the simultaneous decomposition of a brandrating into its two main components, and the projection of the unbiased rating in a two-

    dimensional space, in which distances between objects reflect the observed dissimilarities, as

    the map is obtained through the joint representation of two batteries of variables

    (dissimilarities and attribute ratings). The model is a likelihood-based procedure which uses a

    parsimonious set of parameters, as compared to other similar models in literature.

    The implemented model has important implications for the analysis of brand equity.

    By showing the actual brand ratings, our method provides a means to assess the uniqueness

    and strength of brand associations (Dillon et al., 2001). The cognitive representation offered

    by the map helps us to reach a better comprehension of both the specific impact of each

    attribute on the brands, and the role played by the semantic structure underlying the

    measurement scale used in this study.

    LIMITATIONS AND FUTURE DIRECTIONS

    The model presented in this paper focuses on the purification of perceptions with respect to

    general brand impressions bias. Other sources of biases can be analyzed and their effect could

    be disentangled as well. A major bias to take into account is given by the idiosyncratic

    perceived importance of attributes assigned by consumers. This might be a strategic issue to

    classify heterogeneity, operatively changing the expression mjijmji

    mjx ,,,, ++= into the

    expression mjiji

    mmj

    i

    mjx ,,,, ++= . This formulation could be convenient but theestimation problem could be difficult to address.

    Another direction suggested by the study is the use of other measurement scales. Ourstudy focuses only Aakers brand personality, but some other theoretical frameworks of brand

    equity measurement should be taken into account.

    Finally, this study focuses on high-involvement product categories while could be of

    interest to consider routine or impulse products.

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    APPENDIX A

    QUESTIONNAIRES STRUCTURE

    BRAND PERSONALITY QUESTIONNAIRE

    Strongly Strongly

    X is a brand: disagree agree

    Down-to-earth.

    Honest.....

    Wholesome..

    Cheerful

    Daring .

    Spirited. ..

    Imaginative.

    Up-to-date.......

    Reliable...

    Intelligent... Successful..

    Upper class.....

    Charming...

    Outdoorsy..

    Tough.

    ATTRIBUTE-FREE QUESTIONNAIRES

    a. CELLULAR PHONES

    Very Very

    dissimilar similar

    1. Nokia and Motorola ...............

    2. Sony-Ericsson and Samsung ..

    3. Siemens and Nokia .

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    4. LG and Motorola.....

    5. Siemens and Sony-Ericsson

    6. Samsung and Asus ..

    7. Siemens and LG ..........

    8. Apple and Nokia......................

    9. Toshiba and Sony-Ericsson ....

    10. Nokia and LG..................................

    11. Sony-Ericsson and Motorola ...

    12. Motorola and Siemens .....

    13. Samsung and Motorola

    14. Samsung and LG .

    15. Nokia and Sony-Ericsson ............

    b. NOTEBOOK COMPUTERS

    Very Very

    dissimilar similar

    16. Acer and Sony .......................

    17. Hewlett-Packard and Apple .. 18. Asus and Acer ...

    19. Toshiba and Sony...

    20. Asus and Hewlett-Packard

    21. Apple and Asus .

    22. Asus and Toshiba ......

    23. Apple and Acer......................

    24. Toshiba and Hewlett-Packard ..

    25. Acer and Toshiba ..........................

    26. Hewlett-Packard and Sony

    27. Sony and Asus ...............

    28. Apple and Sony .

    29. Apple and Toshiba .

    30. Acer and Hewlett-Packard .........

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    APPENDIX B

    THE MAPS

    Figure 1a (cellular phones): Principal Component Analysis

    Table 1a: Importance of components:PC1 PC2 PC3 PC4 PC5 PC6

    Standard deviation 2.414 0.6893 0.3416 0.14513 0.14189 8.34e-16

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    Proportion of

    Variance

    0.902 0.0735 0.0181 0.00326 0.00312 0.00e+00

    Cumulative

    Proportion

    0.902 0.9756 0.9936 0.99688 1.00000 1.00e+00

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    Figure 2a (cellular phones): Model map (joint unbiased perception map)

    Table 2a: Brand image (holistic) ratingsNokia Motorola Sony-Ericsson Samsung Siemens LG

    4.552316 3.324714 4.485089 5.182024 2.929133 5.749445

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    Figure 1b (computer notebook): Principal Component Analysis

    Table 1b: Importance of componentsPC1 PC2 PC3 PC4 PC5 PC6

    Standard deviation 2.355 0.451

    3

    0.18073 0.14834 0.10317 8.15e-16

    Proportion of Variance 0.954 0.035

    0

    0.00562 0.00379 0.00183 0.00e+00

    Cumulative Proportion 0.954 0.988

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    0.99438 0.99817 1.00000 1.00e+00

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    Figure 2b (computer notebook): Model map (joint unbiased perception map)

    Table 2b: Brand image (holistic) ratingsAcer Sony Hewlett-

    Packard

    Toshiba Asus Apple

    3.487614 4.908848 4.100208 3.749849 3.678156 5.377646

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