Factorial Analysis

Question 1

Factor analysis and what are closely related?

Answer 1

Factor analysis and principle component analysis

-hypothesis generating

Question 2

What do Grey and Eynsenicks models use?

Answer 2

Factorial analysis

Question 3

Which variables such as Extroversion “cause” observational variables (happiness)?

Answer 3

Latent variables Y

Question 4

X- expecting the worst/ preference for lots of people: are both examples of which variables?

Answer 4

Observable variables
-we can ask these to people to determine latent variables (extroversion)

Question 5

Which variable can you NOYT directly measure due to indirect access?

Answer 5

Latent variables Y

Question 6

A personality factor or a physiological brain source in EEG is represented by which letter?

Answer 6

Y
(latent variables)

Question 7

What related Y (latent variables) to X (observer variables)?

Answer 7

U
-projection of latent variables onto observer variables

Question 8

What is the equation for the representation of
U -projection of latent variables onto observer variables?

Answer 8

Model: X= U . Y

But we dont know Y, we need to empirically estimate Y thus forming V
New model: Y= X . V

Question 9

Which letter signifies the rotation matrix?
(vectors constituting this matrix are called eigenvectors)

Answer 9

V

Question 10

All variables of Y (latent variables: Extroversion) are mutually orthogonal.
What does this mean?

Answer 10

Uncorrelated

-also successively explain maximum variance

Question 11

why is it important that Y latent variables explain maximum variance?

Answer 11

To ensure as much information is captured in as few variables as possible and that these provide non-redundant information (uncorrelated)

Question 12

What do Eigen values inform us?

Answer 12

how much info the new variables explain from the data set
what each factor explains

-strictly ordered (eg. lambda)

Question 13

What do factor loadings represent?

Answer 13

How to interpret new variables

Question 14

Which letter contains original raw data, e.g. the participants’ responses to the questionnaire item?

Answer 14

XW

Question 15

What does it mean when the Eigen value is greater than 1

Answer 15

It explains more than one original variable variance

Question 16

Which letter contains the factor scores – each individual’s values (‘score’) in the new coordinate system / variables, e.g. how neurotic someone is, how conscientious etc. These factors are mutually orthogonal, i.e. uncorrelated.

Answer 16

Y

Question 17

What do factor loadings determine?

Answer 17

their position within the coordinate system