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### Multivariate Analysis Techniques

• 2. 2 FACTORS INFLUENCING THE SELECTION OF A DATA ANALYSIS STRATEGY • Previous steps of the marketing research project—Problem definition, development of an approach, and research design. Data analysis is geared toward providing information that will help answer the problem at hand.
• 3. 3 FACTORS INFLUENCING THE SELECTION OF A DATA ANALYSIS STRATEGY • Known characteristics of the data—For example, scale of measurement (nominal, ordinal, interval, or ratio). Certain techniques are only appropriate for certain types of data.
• 4. 4 FACTORS INFLUENCING THE SELECTION OF A DATA ANALYSIS STRATEGY • Properties of the statistical techniques— Different statistical techniques serve different purposes and have different underlying assumptions with varying degrees of robustness to their violations. Statistical techniques vary in their purpose and involve different assumptions.
• 5. 5 FACTORS INFLUENCING THE SELECTION OF A DATA ANALYSIS STRATEGY • Background and philosophy of the researcher—Researchers vary in degree of sophistication and philosophies (in making assumptions about the variables and their underlying populations).
• 6. 6 CLASSIFICATION OF STATISTICAL TECHNIQUES • Statistical techniques can be classified as univariate and multivariate. • Univariate techniques are appropriate for analyzing data when there is a single measurement of each element in the sample, or if there are several measurements on each element, each variable is analyzed in isolation.
• 7. Independent Related Independent Related * Two- Group t test * Z test * One-Way ANOVA * Paired t test * Chi-Square * Mann-Whitney * Median * K-S * K-W ANOVA * Sign * Wilcoxon * McNemar * Chi-Square Metric Data Non-metric Data Univariate Techniques One Sample Two or More Samples One Sample Two or More Samples * t test * Z test * Frequency * Chi-Square * K-S * Runs * Binomial
• 8. 8 • Multivariate techniques are suitable for analyzing data when there are two or more measurements on each element and the variables are analyzed simultaneously. • They differ from univariate (single phenomenon) techniques in that they shift the focus away from the levels (averages) and distributions (variances) of phenomena, concentrating instead upon the degree of relationships (correlations or covariances) among these phenomena.
• 9. 9 • Multivariate statistical techniques can be classified as dependence techniques or inter­ dependence techniques. • Dependence techniques are appropriate when one or more variables can be identified as dependent variables and the remaining as independent variables. • In interdependence techniques, the variables are not classified as dependent or independent; rather, the whole set of interdependent relationships is examined.
• 10. 10 More Than One Dependent Variable * Multivariate Analysis of Variance and Covariance * Canonical Correlation * Multiple Discriminant Analysis * Cross- Tabulation * Analysis of Variance and Covariance * Multiple Regression * Conjoint Analysis * Factor Analysis One Dependent Variable Variable Interdependence Inter-object Similarity * Cluster Analysis * Multidimensional Scaling Dependence Technique Interdependence Technique Multivariate Techniques
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