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Chapter Fifteen Data Analysis: Testing for Interdependence Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-1 Learning Objectives  Describe interdependence techniques  Define and understand factor analysis and cluster analysis Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-2 Introduction PHASE III: Execute the research Marketing Research Analyse the data Step 8:  Assessing interdependence between variables allows the researcher to summarise and understand a large number of independent variables  Techniques for grouping X variables include:  Factor analysis, to reduce and summarise data  Cluster analysis, to classify objects Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-3 Summary of Selected Interdependence Methods  Factor analysis is used to summarise the information contained in a large number of variables into a smaller number of subsets called factors.  Cluster analysis is used to classify respondents or objects (e.g. products, stores) into groups that are homogeneous, or similar within the groups but different between groups. Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-4 Classification of Multivariate Methods Dependence Methods (Non-metric) Nominal One Number of Dependent Variables None Interdependence Methods (Metric) Dependent Variable Level of Measurement Interval or Ratio • Factor Analysis • Cluster Analysis • Perceptual Mapping Ordinal • Discriminant Analysis • Conjoint • Spearman’s Rank Correlation • Multiple Regression • ANOVA • MANOVA • Conjoint Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-5 Factor Analysis  A technique to summarise information contained in a large number of variables into a smaller number of subsets or factors  To simplify the data  No distinction between X and Y— analysed together Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-6 Factor Analysis  Factor Loadings  The correlation between each factor score and each of the original variables  Each factor loading is a measure of the importance of the variable in measuring the factor  From –1 to +1  A factor loading or correlation between each variable and the factor it is associated with  ‘High loading’—the variable helps define the factor Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-7 Factor Analysis  Naming Factors  Combine intuition and knowledge of the variables with an inspection of the variables that have high loadings on each factor Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-8 Factor Analysis  How many factors?  Look at the percentage of variation.  Factor Scores  Produce composite variables when applied to a number of variables.  A factor is a weighted summary score of a set of related variables. Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-9 Factor Analysis—An Example to Consider Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-10 Factor Analysis—Example to Consider Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-11 Factor Loading for Example  Service quality—because all variables load on some aspect of the service experience  Food quality—related to food  Can be a subjective process  How many factors to retain?  Be aware of applications Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-12 Cluster Analysis  Interdependence method—why?  Groups objects within each group that are similar on a variety of measures  Be aware of applications Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-13 Cluster Analysis  Marketing researchers draw upon the power of cluster analysis to classify objects or respondents into groups that have something in common.  Cluster analysis pinpoints what is similar within groups but different between them. Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-14 Cluster Analysis—An Example to Consider Copyright  2004 McGraw-Hill Pty Ltd PPTs t/a Marketing Research by Lukas, Hair, Bush and Ortinau Slides prepared by Tony Peloso 15-15