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 Correspondence Analysis: Simultaneous representation

For each question, tick the correct answer or answers.

Q1) In the simultaneous representation plot,
the i-th row is at the barycenter of all the columns, where each column has been given the weight fij/fi, which is the j-th term of the i-th row profile, give or take some dilation.
a row is located on the side of the columns with which it is most associated
a column is located on the side of the rows with which it is most associated
the dilation constant used in the 1st dimension is greater than or equal to that of the constant used in the 2nd dimension
for each dimension, the dilation constant used for the rows is the same as that used for the columns

Q2) In the simultaneous representation plot,
the mean row profile and the mean column profile are located one on top of the other
if two row points are superposed for every choice of projection plane, then their profiles are the same
if two column points are superposed for every choice of projection plane, then their profiles are proportional to each other
if a row point is superposed on a column point for every choice of projection plane, then they have the same profiles
if a row point is superposed on a column point for every choice of projection plane, then their profiles are proportional to each other

Q3) 100 participants were asked to characterize 12 perfumes using words. A contingency table was then constructed with the 12 perfumes against the 15 most-used words, and a CA was then run to output the simultaneous representation plot:
The word that best describes the Lolita Lempika perfume (in the sense that it is proportionally the most-used word for this perfume with respect to the others):

is the word Sugary, as this is the one that is the closest to Lolita Lempika perfume
must be the word vanilla, because it is the one that is the furthest from the clouds’ center of gravity, in the direction of Lolita Lempika perfume
must be the word vanilla, because it is the one that is the furthest from the cloud’s center of gravity, in the direction of Lolita Lempika perfume, though we must first check that the word vanilla is not an outlier due to having been extremely rarely used for perfumes like Pleasures, Pure Poison and J’adore (ET)

Q4) Suppose we have run CA on the following data set:

We calculate the column profiles and mean column profile to 2 decimal places:

In the following plot, we have removed the labels of certain columns.

Find the label of the column:

c2 = A
c2 = B
c2 = D

c4 = A
c4 = B
c4 = D

c5 = A
c5 = B
c5 = D

Score =
Correct answers: