MULTIVARIATE ANALYSIS OF VARIANCE

Bray's monograph considers the multivariate form of analysis of variance (MANOVA). The primary emphasis of the book is on methods for interpreting MANOVA statistical analyses. These are illustrated through the use of two numerical examples: one involves a small, hypothetical data set, which can be analyzed by the reader with minimal effort; the other involves real data and shows how MANOVA can be used in actual research. MANOVA represents a logical extension of Analysis of Variance by Iversen and Norpoth (QASS 1).

Series Editor's Introduction

5

(7)

Introduction to Multivariate Analysis of Variance

7

(6)

Use of Multiple Criterion Variables

9

(1)

Relationship of Anova to Manova

10

(1)

Why Use MANOVA?

10

(3)

Omnibus MANOVA Tests

13

(26)

Multivariate Null Hypothesis

14

(1)

Univariate Test of Significance

15

(5)

Multivariate Test of Significance

20

(3)

Role of Discriminant Function Variates

23

(3)

Multivariate Test Statistics

26

(3)

Comparison of MANOVA and ANOVA

29

(3)

Assumptions of MANOVA

32

(1)

Robustness of MANOVA

33

(1)

Statistical Power

34

(1)

Measures of Effect Size

35

(2)

Numerical Example

37

(2)

Analyzing and Interpreting Significant MANOV As

39

(18)

Analyzing Criterion Variables

40

(10)

Analyzing Classification Variables

50

(3)

Analyzing Criterion and Classification Variables Simultaneously

53

(1)

Numerical Example

54

(3)

Causal Models Underlying MANOVA Analyses

57

(11)

Purpose of Path-Analytic Representations

57

(1)

Overview of Path-Analytic Representation of MANOVA

57

(2)

Omnibus MANOVA Test

59

(1)

Univariate Tests

59

(2)

Discriminant Analysis Model

61

(2)

Model for the Step-Down Tests

63

(3)

MANOVA and LISREL

66

(1)

Numerical Example

67

(1)

Complex Designs

68

(3)

Higher-Order MANOVA

68

(1)

Repeated Measures Designs

69

(1)

Profile Analysis

69

(1)

Doubly Multivariate Designs

70

(1)

Multivariate Analysis of Covariance

71

(1)

Overview of Computer Programs for MANOVA

71

(4)

References

75

(5)

About the Authors

80

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MULTIVARIATE ANALYSIS OF VARIANCE

Summary

Table of Contents

Supplemental Materials