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Multivariate Data Analysis Chapter 2 – Examining Your Data

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Presentation on theme: "Multivariate Data Analysis Chapter 2 – Examining Your Data"— Presentation transcript:

1 Multivariate Data Analysis Chapter 2 – Examining Your Data

2 Road Map Introduction Graphical Examination of the Data
The Nature of the Variable: Examining the Shape of the Distribution Examining the Relationship Between Variables Examining Group Differences Multivariate Profiles Summary

3 Missing Data A Simple Example of a Missing Data Analysis
Understanding the Reasons Leading to Missing Data Ignorable Missing Data Other Types of Missing Data Processes Examining the Patterns of Missing Data Diagnosing the Randomness of the Missing Data Process

4 Missing Data (Cont.) Approaches for Dealing with Missing Data
Use of Only Observations with Complete Data Delete Case(s) and/or Variable(s)

5 Outliers Detecting Outliers Outlier Description and Profiling
Univariate Detection Bivariate Detection Outlier Designation Outlier Description and Profiling Retention or Deletion of the Outlier

6 Outliers (Cont.) An Illustrative Example of Analyzing Outliers
Univariate and Bivariate Detection Multivariate Detection Retention or Deletion of the Outliers

7 Testing the Assumptions of Multivariate Analysis
Assessing Individual Variables Versus the Variate Normality Graphical Analysis of Normality Statistical Tests of Normality Remedies for Nonnormality

8 Testing the Assumptions of Multivariate Analysis (Cont.)
Homoscedasticity Graphical Tests of Equal Variance Dispersion Statistical Tests for Homoscedasticity Remedies for Heteroscedasticity

9 Testing the Assumptions of Multivariate Analysis (Cont.)
Absence of Correlated Errors Identifying Correlated Errors Remedies for Correlated Errors Data Transformations Transformations to Achieve Normality and Homoscedasticity Transformations to Achieve Linearity General Guidelines for Transformations

10 Testing the Assumptions of Multivariate Analysis (Cont.)
An Illustration of Testing the Assumptions Underlying Multivariate Analysis Normality Homoscedasticity Linearity Summary


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