Identifying Multivariate Analysis Methods

Multivariate analysis encompasses statistical methods that examine relationships among three or more variables simultaneously. The goal is to understand complex data structures.

Analysis of Statistical Methods

Let's analyze each method listed:

• A. Chi-square (${\chi}^2$) Test: Primarily used to analyze categorical data. It typically assesses the independence between two categorical variables or compares observed frequencies to expected frequencies. While it can involve contingency tables, it's generally considered bivariate or univariate, not fundamentally multivariate.
• B. Regression Analysis: Examines the relationship between a dependent variable and one or more independent variables. Multiple Regression Analysis, with multiple predictors, is a core multivariate technique as it analyzes how several variables influence another.
• C. Factor Analysis: A technique used to identify underlying latent variables (factors) that explain the correlations among a set of observed variables. It inherently deals with relationships among multiple variables and is distinctly multivariate.
• D. Sequential Equation Modelling (SEM): A comprehensive statistical methodology used to analyze complex relationships between observed and latent variables. SEM allows for testing intricate causal models involving multiple variables and paths, making it a multivariate technique.
• E. Percentage Analysis: This is a descriptive statistic used to express proportions or frequencies relative to a total. It is typically univariate (describing one variable) or bivariate (comparing percentages between two groups) and not considered a multivariate analysis method.

Conclusion on Multivariate Techniques

Based on the analysis:

• Regression Analysis (B) is multivariate (specifically multiple regression).
• Factor Analysis (C) is multivariate.
• Sequential Equation Modelling (D) is multivariate.
• Chi-square (A) and Percentage Analysis (E) are not typically classified as multivariate methods.

Therefore, the correct set of multivariate analysis methods includes B, C, and D.