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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