Multivariate statistical analysis (analysis of dependence)

Question 1

What is Multivariate Analysis?

Answer 1

Statistical analysis involving the simultaneous investigation of more than two variables

Question 2

What is the difference between dependence and interdependence techniques?

Answer 2

• Dependence explain or predict dependent variables based on independent variables
• Interdependence techniques group variables or cases together without clear dependent variables

Question 3

When would you use partial correlation analysis?

Answer 3

• To measure the association between two variables after controlling for the effects of other variables

Question 4

What is an n-way cross tabulation?

Answer 4

A table analyzing relationships between two categorical variables while controlling for a third or more categorical variable.

Question 5

Define n-way univariate ANOVA

Answer 5

A statistical method testing differences in a metric-dependent variable across two or more non-metric independent variables simultaneously

Question 6

What does multiple regression analysis investigate?

Answer 6

The simultaneous effect of two or more independent variables on one interval-scaled dependent variable

Question 7

What is multicollinearity?

Answer 7

When independent variables in multiple regression are correlated with each other causing unreliable parameter estimates

Question 8

What is Binary logistic regression?

Answer 8

A regression method used to predict a binary (two-category) dependent variable based on two or more independent metric variables

Question 9

When analysing regression outputs, what are standardized coefficents used for?

Answer 9

To compare which independent variable has the greatest relative influence on the dependent variable

Question 10

In regression, what does the coefficent of determination represent?

Answer 10

The proportion of variation in the dependent variable explained by all the independent variables

Question 11

When should you use binary logistic regression instead of multiple linear regression?

Answer 11

When predicting a categorical dependent variable from metric independent variables

Question 12

Give an example of an analysis of dependence

Answer 12

Examining how advertising level, product distribution, and pricing infleunce sales

Question 13

Why is the measurement scale important in multivariate analysis?

Answer 13

It determines which statistical technique is appropriate for analysing data

Question 14

If independent variables are correlated with each other in multiple regression, what problem arises?

Answer 14

• Multicollienarity, leading to unreliable results