Multivariate Data Analysis Chapter6 – Multivariate Analysis of Variance
MIS 6093 Statistical Method Instructor: Dr. Ahmad Syamil
Chapter 6
What Is Multivariate Analysis of Variance?
Univariate Procedures For Assessing Group Differences
The t Test Analysis of Variance (ANOVA)
Multivariate Analysis of Variance (MANOVA)
The Two-Group Case: Hotelling's T2 The k-Group Case: MANOVA
Chapter 6
Differences Between MANOVA and Discriminant Analysis A Hypothetical Illustration of MANOVA When Should We Use MANOVA?
Control of Experimentwide Error Rate Differences Among A Combination of Dependent Variables
Chapter 6 A Decision Process for MANOVA
Stage 1: Objectives of MANOVA
Types of Multivariate Questions Suitable for MANOVA
Multiple Univariate Questions Structured Multivariate Questions Intrinsically Multivariate Questions Selecting the Dependent Measures
Chapter 6 A Decision Process for MANOVA Cont.
Stage 2: Issues in the Research Design of MANOVA
Sample Size Requirements---Overall and by Group Factorial Designs---Two or More Treatments
Selecting Treatments A Hypothetical Example Interpreting Interaction Terms MANOVA Counterparts of Other ANOVA Designs Objectives of Covariance Analysis Selecting Covariates A Special Case of MANOVA: Repeated Measures
Using Covariates---ANCOVA and MANCOVA
Chapter 6 A Decision Process for MANOVA Cont.
Stage 3: Assumptions of ANOVA and MANOVA
Independence Equality of Variance-Covariance Matrices Normality Linearity and Multicollinearity Among the Dependent Variables Sensitivity to Outliers
Chapter 6 A Decision Process for MANOVA Cont.
Stage 4: Estimation of the MANOVA Model and Assessing Overall Fit
Criteria for Significance Testing Statistical Power of the Multivariate Tests
Increasing Power in ANOVA and MANOVA Using Power in Both Planning and Analysis Calculating Power Levels The Effects of Dependent Variable Multicollinearity on Power
Chapter 6 A Decision Process for MANOVA Cont.
Stage 5: Interpretation of the MANOVA Results
Evaluating Covariates Assessing the Dependent Variate Identifying Differences Between Individual Groups
Post Hoc Methods A Priori or Planned Comparisons
Stage 6: Validation of the Results Summary
Chapter 6 Example 1: Difference Between Two Independent Groups
A Univariate Approach: The t Test
Stage Stage Stage Stage
Objectives of the Analysis Research Design of the ANOVA Assumptions in ANOVA Estimation of the ANOVA Model and Assessing Overall Fit Stage 5: Interpretation of the Results
1: 2: 3: 4:
Chapter 6 Example 1: Difference Between Two Independent Groups Cont.
A Multivariate Approach: Hotelling's T2
Stage Stage Stage Stage
Objectives of the MANOVA Research Design of MANOVA Assumptions in MANOVA Estimation of the MANOVA Model and Assessing Overall Fit Stage 5: Interpretation of the Results
1: 2: 3: 4:
Chapter 6 Example 2: Difference Between k Independent Groups
A Univariate Approach: k-Groups ANOVA
Stage Stage Stage Stage
Objectives of the ANOVA Research Design of ANOVA Assumptions in ANOVA Estimation of the ANOVA Model and Assessing Overall Fit Stage 5: Interpretation of the Results
1: 2: 3: 4:
Chapter 6 Example 2: Difference Between k Independent Groups Cont.
A Multivariate Approach: k-Groups MANOVA
Stage Stage Stage Stage
Objectives of the MANOVA Research Design of the MANOVA Assumptions in MANOVA Estimation of the MANOVA Model and Assessing Overall Fit Stage 5: Interpretation of the Results
1: 2: 3: 4:
Chapter 6 Example 3: A Factorial Design for MANOVA with Two Independent Variables
Stage Stage Stage Stage
Objectives of the MANOVA Research Design of the MANOVA Assumptions in MANOVA Estimation of the MANOVA Model and Assessing Overall Fit Stage 5: Interpretation of the Results
1: 2: 3: 4:
Chapter 6
A Managerial Overview of the Results Summary Questions References Annotated Articles
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