Multivariate analysis - Exam
  • 1. Multivariate analysis is a statistical technique used to analyze data sets that contain observations on multiple variables. It allows researchers to understand the relationships between these variables and uncover patterns or trends that may not be apparent when analyzing each variable individually. By examining multiple variables simultaneously, multivariate analysis provides a more comprehensive and holistic understanding of the data, enabling researchers to make more informed decisions and draw reliable conclusions. Common methods of multivariate analysis include principal component analysis, factor analysis, cluster analysis, and multivariate regression. These techniques are widely used across various fields such as economics, psychology, biology, and marketing to explore complex relationships and extract meaningful insights from data.

    What is multivariate analysis?
A) Analysis of two variables
B) Analysis of continuous variables only
C) Analysis of a single variable
D) Analysis of multiple variables simultaneously
  • 2. Which statistical technique is commonly used in multivariate analysis?
A) ANOVA
B) Chi-square test
C) Principal component analysis
D) T-test
  • 3. Which analysis is used in multivariate analysis to group variables based on similarities?
A) Cluster analysis
B) Regression analysis
C) ANOVA
D) Correlation analysis
  • 4. What is the aim of discriminant analysis in multivariate analysis?
A) To determine outliers
B) To determine which variables discriminate between two or more group
C) To determine correlation coefficients
D) To determine descriptive statistics
  • 5. What is a scree plot used for in multivariate analysis?
A) To show correlation coefficients
B) To identify outliers
C) To plot data points
D) To determine the number of factors to retain in factor analysis
  • 6. What does cluster analysis in multivariate analysis aim to do?
A) Testing for differences between groups
B) Plotting bivariate data
C) Conducting factor analysis
D) Grouping similar observations into clusters
  • 7. What does discriminant analysis allow researchers to do?
A) Test for correlations
B) Conduct factor analysis
C) Determine which variables best predict group membership
D) Identify outliers in the data
  • 8. When should covariance matrix be used in multivariate analysis?
A) To understand the relationships and variances between multiple variables
B) To perform factor analysis
C) To determine sample size
D) To test for outliers
  • 9. What is discriminant function analysis used for in multivariate analysis?
A) To predict group membership based on predictor variables
B) To determine correlations
C) To perform cluster analysis
D) To find outliers
  • 10. What is the purpose of canonical correlation analysis?
A) To determine the relationship between two sets of variables
B) To determine outliers
C) To determine factor loadings
D) To perform hypothesis testing
  • 11. What is canonical correlation analysis used for in multivariate analysis?
A) To examine the relationships between two sets of variables
B) To test hypotheses
C) To find correlation between a variable and itself
D) To perform regression analysis
  • 12. When can principal component analysis be appropriate to use in multivariate analysis?
A) When variables are independent
B) When variables are highly correlated
C) When outliers are present
D) When dealing with categorical data only
  • 13. What does a scree test help determine in factor analysis?
A) The standard deviation of variables
B) The correlation between variables
C) The significance of variables
D) The number of factors to retain
  • 14. How is MANOVA different from ANOVA in multivariate analysis?
A) MANOVA considers multiple dependent variables simultaneously, while ANOVA focuses on a single dependent variable
B) ANOVA is appropriate for small sample sizes, while MANOVA is for large sample sizes
C) MANOVA is used for categorical data analysis, while ANOVA is used for continuous data analysis
D) ANOVA uses mixed-effect models, while MANOVA uses fixed-effect models
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