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**Cluster Analysis vs. Market Segmentation**

Pavel Brusilovsky

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Objectives Introduce cluster analysis and market segmentation by discussing: Concept of cluster analysis and basic ideas and algorithms Concept of market segmentation and basic ideas Comparison of these two approaches

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**Cluster Analysis Algorithms**

There appear to be more algorithms for clustering data than data to analyze Quant People Folklore

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**What is Cluster Analysis?**

Cluster is a group of similar objects (cases, points, observations, examples, members, customers, patients, locations, etc) Cluster Analysis is a set of data-driven partitioning techniques designed to group a collection of objects into clusters, such that the number of groups (clusters) as well as their forms are unknown the degree of association or similarity is strong between members of the same cluster is weak between members of different clusters The nature of Cluster Analysis is data exploration that conducted in repetitive fashion. Clusterization is not a single grouping, but the process of getting well interpretable groups of objects under consideration. 4

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**What is not Cluster Analysis?**

Supervised classification, for example, Discriminant Analysis, Naïve Bayes Classifier, Support Vector Machines, etc. Have class label information Simple segmentation Doctors’ segmentation by specialty, assuming that each doctor’s specialty is known Customer segmentation by sex, education level, geography and response rate (assuming that these customer attributes are known) Results of a query (groupings are the outcome of an external specification) 5

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**Supervised vs. Unsupervised**

Cluster analysis is a product of at least two different quantitative fields: statistics and machine learning Machine learning Unsupervised is a learning from raw data (no examples of correct classification). In other words, class label information is unavailable. No measure of success Heuristic arguments for judgments Lots of methods developed Supervised is a learning from data where the correct classification of examples is given (class label information is available) 6

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**Questions about groups**

Groups are unknown Are there groups in the data? Traditional Cluster Analysis Kohonen Vector Quantization Groups are known Given the groups, are there differences in the central tendency of the groups? ANOVA (one dependent variable) MANOVA (several dependent variables) To which groups does this new object belong? Discriminant Analysis 7

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Market segmentation Market segmentation is one of the most fundamental strategic marketing concepts: grouping people (with the willingness, purchasing power, and the authority to buy) according to their similarity in several dimensions related to a product under consideration. The better the segments chosen for targeting by a particular organization, the more successful the organization is in the marketplace. The objectives are accurately predict the needs of customers and improve the profitability. 8

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**Variables used in market segmentation**

Demographics Age Gender Education Income Home ownership, etc. Psychographics Lifestyle Attitude Beliefs Personality Buying motives, etc. Brand Loyalty Geography State ZIP City size Rural vs. Urban, etc. 9

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**Market Segmentation and Cluster Analysis**

Help marketers discover distinct groups in their customer bases, and then use this knowledge to develop targeted marketing programs The underlying definition of cluster analysis procedures mimic the goals of market segmentation: to identify groups of respondents that minimizes differences among members of the same group highly internally homogeneous groups while maximizing differences between different groups highly externally heterogeneous groups Market Segmentation solution depends on variables used to segment the market method used to arrive at a certain segmentation 10

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**Criteria for Successful Market Segmentation**

Identifiability Can we see clear differences between segments? Substantiality Are the segments large enough to warrant separate marketing targeting? Accessibility Can we reach our customers? Stability Do our segments stable over a certain period of time? Responsiveness Is the response to our marketing effort segment specific? Actionability Do the segmentation provides direction of marketing efforts? 11

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**Types of Clustering Partitional clustering**

A division of objects into non-overlapping subsets (clusters) such that each object is in exactly one cluster Hierarchical clustering A set of nested clusters organized as a hierarchical tree 12

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**Other Distinctions Between Different Clustering**

Different treatment of object characteristics vs. even treatment Characteristics are subdivided into two groups: dependent variable and independent variables (Classification and Regression trees) There is no such a subdivision (K-means) Model-based vs. Non-model-based A model is hypothesized for each of the clusters and the idea is to find the best fit of that model to each cluster (Latent Class Clustering) 13

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**Limitations and Problems of Traditional Cluster Analysis Methods**

Need to specify K (number of clusters) in advance Applicable only for interval variables (only numeric data) Has problems when clusters are of differing Sizes Densities Non-globular shapes Unable to handle noisy data and outliers 14

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**Latent Class Cluster Analysis (LCCA)**

LCCA is a model-based approach: Statistical model is postulated for the population from which the data sample is obtained LC model do not rely on the traditional modeling assumptions (linearity, normality, homogeneity) It is assumed that a mixture of underlying probability distributions generates the data LC model includes a K-category latent variable, each category represents a cluster Objects are classified into clusters based upon membership probabilities that are estimated directly from the data 15

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**Advantages of Latent Class Cluster Analysis (LCCA)**

Optimal number of clusters is determined as a result of LCCA, using rigorous statistical tests No decisions have to be made about the scaling of the observed variables Variables maybe continuous, nominal, ordinal, count, or any combination of these 16

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**Theory and Cluster Analysis**

Is clustering a theory? A theory could be true or false Unlike a theory, a clustering is neither true nor false, and should be judged largely on the interpretability and usefulness of results No measure of success Heuristic arguments for judgments Selection of right method is a problem However, a clustering may be useful for suggesting a theory, which could then be tested 17

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References Leonard Kaufman and Peter Rousseeuw (2005), Finding Groups in Data: An Introduction to Cluster Analysis, Wiley Series in Probability and Statistics, 337 p. Mark Aldenderfer and Roger Blashfield (1984), Cluster Analysis (Quantitative Applications in the Social Sciences), SAGE Publications, Inc., 90 p. Brian Everitt, Sabine Landau and Morven Leese (2001) Cluster Analysis, Oxford University Press, 248 p. Marketing Segmentation (http://www.beckmanmarketing8e.nelson.com/ppt/chapter03.pps. ) 18

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**Application of clustering and customer segmentation to survey data**

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**Case study: background, objectives, and methodology**

Producer and distributor of health and beauty products launched a new product. The product can be ordered only on the website. In six month an internet survey was conducted. Only three simple questions were asked: How many adults are in your household? How many of them adopted the product? How many of them did not adopt the product? When the total number of adopters and non-adopters is less than the number of adults in a household, the difference is treated as the number of unknowns. There are some other situation when the number of unknown makes sense to introduce. The client asked us to analyze the survey data (obviously it is not the most informative survey BI Solutions dealt with). The objectives of the study was to extract as much as possible useful information from the survey data in order to understand the distribution and the usage of the product among households, associate with each household a corresponding likelihood of adoption, and develop methodology to employ this info in the marketing programs. Methodology: synergy of cluster analysis of proportional data and intuitive segmentation. 20

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**Clustering of households**

We calculated the following three variables: P1 is a proportion of customers in a household with unknown product adaption behavior P2 is a proportion of customers in a household who adopted the product P3 is a proportion of customers in a household who did not adopt the product Therefore, each household is characterized by a point in three-dimensional proportion space. Once again, it was the only available information (that we got from the client). We decided to employ synergy of cluster analysis and customer segmentation. Six clusters were identified as the result of K-means clustering. Variables importance in K-means clustering: 21

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**Household representation in three dimensional proportion space**

Each household is represented by a data point (a square) in 3-dimensional proportion space. Households form a 2-dimensional triangle. Each square might represent several customers. 22

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**Clusters of households: mean value of proportions and cluster interpretation**

Number of customers Mean value (%) P1 (Non-Adopters) P2 (Adopters) P3 (Unknown) 1 Non-Adopters 1463 96.4 0.6 3.0 2 Adopters 3915 0.3 97.9 1.8 3 Mixed households with adopters and non-adopters 474 46.3 51.8 1.9 4 Mixed households with non-adopters and unknowns 537 54.0 4.3 41.7 5 Unknowns 1097 0.8 0.9 98.3 6 Households with adopters and unknowns 1201 57.9 41.8 23

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**Cluster Profiling: good separation and good interpretability**

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**Households as a set of three proportions / percentages**

P1 (unknown) P2 (non-adopters) P3 (adopters) Different color reflect clusters Cluster (Non-Adopters) Cluster (Adopters) Cluster (Adopters and Non-Adopters) Cluster (Non-Adopters and Unknown) Cluster (Uncertain) Cluster (Adopters and Unknown) 25

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**Cluster /Sub-cluster profile**

Number of Households in Cluster Cluster Profile Likelihood of Adoption Segmentation Rule Number of Households in Sub-Cluster 1 1,463 Non-Adopters Low All households in cluster 2 3,915 Adopters High Medium Likely to adopt > 40% The Rest 1, ,041 3 474 Mixed households with adopters and non-adopters Medium Low Likely/Unlikely >= 40% The rest 4 537 Mixed households with non-adopters and unknowns 5 1,097 Unknowns Unknown 6 1,201 Households with adopters and unknowns High Low Unknown Likely to adopt > 60% Likely/Unlikely >= 40% The rest 26

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**Likelihood of the new product adoption**

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**Next steps Customer profiling Data enrichment**

Data enrichment (ZIP level census data) Usage other health/beauty products (household level data) Estimation of the likelihood of the product adoption by data mining predictive analysts / scoring households with unknown purchasing behaviour Identifying customers with high likelihood of the product adoption for targeting Developing program for increasing up-sell and cross-sell Developing program for customer retention Spatial clustering of potential and real customers 28

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