Links

F. Husson website





Book Exploratory Multivariate Analysis Using R

Outline

Introduction

Principal Component Analysis

Correspondence Analysis

Multiple Correspondence Analysis

Clustering

Multiple Factor Analysis

To conclude

Forum

Quiz 4 on Multiple Factor Analysis: Further topics (categorical data, frequency tables, interpretation aids)

For each question, tick the correct answer or answers.

Q1) When analyzing a data table using MFA,
groups of quantitative variables can be active
groups of quantitative variables can be supplementary
groups of qualitative variables can also be supplementary
frequency tables can also be active
frequency tables can also be supplementary

Q2) When applying MFA to groups of qualitative variables,
the weighting of a group can be calculated using the first eigenvalue of the group’s MCA
the partial individuals plot contains mean and partial individuals, and mean and partial categories of each variable
a partial category is located at the barycenter of the partial points of the individuals in that category
it is not possible to show groups

Q3) When applying MFA to contingency tables,
the rows (or columns) of each table have to be identical
we can compare the results of several CA (one per table) in a shared framework
we weight each row by the sum of its values in the first table
we weight each row by the sum of its values over all tables

Q4) Contributions and quality of representation.
In an MFA, the contribution of a group to construction of an axis is

equal to its coordinate value (divided by the sum of the coordinate values of the groups on that axis)
equal to the square of its coordinate value (divided by the sum of squares of the coordinate values of the groups on that axis)
weak if the group is multidimensional
strong if the group is multidimensional

Q5) Here are the 5 steps required to run MFA.
       A. Define the groups of variables
       B. Choose the number of dimensions to interpret
       C. Interpret the results
       D. Choose the active groups
       E. Run the MFA
In what order should these steps be performed?

A - C - B - D - E
A - D - E - B - C
D - A - B - E - C
D - A - B - C - E

Score =
Correct answers: