Dear Experts, There are all provided information. Unfortunatelly, there are no a

Question

Dear Experts,

There are all provided information. Unfortunatelly, there are no additional images :(

Thanks in advance!

Question 1

What is factor analysis?

Factor analysis is ...

Select one:

a. a method of data reduction

b. a statistical process for estimating the relationships among variables

c. a task of grouping a set of objects in such a way that objects in the same group are more similar to each other than to those in other groups

d. I do not know

Question 2

In factor analysis we use standardized variables.

Select one:

a. True

b. False

Question 3

Standardized data are made according to the following formula:

Select one:

Question 4

Quantative data can be used in factor analysis.

Select one:

a. False

b. True

Question 5

Any number of variables and cases can be used in factor analysis.

Select one:

a. False

b. True

Question 6

Existence of correlation between the variables is very important for factor analysis.

Select one:

a. True

b. False

c. I do not know

Question 7

What type of data is represented in the image?

Select one:

a. quantative

b. qualitative

c. I do not know

Question 8

Which test compares a correlation matrix to the identity matrix?

Select one:

a. Kaiser-Meyer-Olkin (KMO) test

b. Bartlett's test of sphericity

c. Chi-square test

d. Kolmogorov-Smirnov test

Question 9

According the statistics below Is the analyzed sampling adequate for factor analysis?

Select one:

a. yes

b. no

Question 10

Is this the identity matrix?

Select one:

a. yes

b. no

Question 11

According to this statistics does your correlation matrix statistically significantly differ from the identity matrix?

Select one:

a. yes

b. no

Question 12

According to this statistics choose the correct answer.

Select one:

a. my correlation matrix does not differ from the identity matrix because Sig. = 0.878 that is higher than 0.05.

b. my correlation matrix differs from the identity matrix because Sig. = 0.878 that is higher than 0.05.

c. my correlation matrix does not differ from the identity matrix because KMO = 0.578 that is higher than 0.05.

d. my correlation matrix differs from the identity matrix because KMO = 0.578 that is higher than 0.05.

Question 13

According to this statistics choose the correct answer.

Select one:

a. factor analysis is adequate because Sig. = 0.024 that is lower than 0.05.

b. factor analysis is not adequate because Sig. = 0.024 that is lower than 0.05.

c. factor analysis is adequate because KMO = 0.333 that is lower than 0.4.

d. factor analysis is not adequate because KMO = 0.333 that is lower than 0.4.

e. factor analysis is not adequate because KMO = 0.333 that is higher than 0.05.

f. factor analysis is adequate because KMO = 0.333 that is higher than 0.05.

Question 14

Let's make factor analysis for the initial data! In SPSS go to Analyze - Dimension Reduction - Factor...

Move all variables in the Variables window! Then fill the sub-windows as shown below:

In the main windows press the OK button and let's analyze the results!

How much is KMO value?

Select one:

a. 0.741

b. 0

c. 0.851

d. 0.642

e. 120

Question 15

Are your factor analysis can be considered as adequate?

Select one:

a. yes

b. no

Question 16

Why do you think so?

Select one:

a. because KMO value is higher than 0.4

b. because KMO value is lower than 0.4

c. because Sig. value is higher than 0.05

d. because Sig. value is lower than 0.05

Question 17

Is there enough correlation to make factor analysis?

Select one:

a. yes

b. no

Question 18

Why do you think so?

Select one:

a. because KMO value is higher than 0.4

b. because KMO value is lower than 0.4

c. because Sig. value is higher than 0.05

d. because Sig. value is lower than 0.05

Question 19

Look at the Communalities table! How much variance of the variable x3 is explained by four factors? Write the number with 3 decimals!

Answer:

Question 20

Look at the Total variance explained table! How much initial variance is explained by the second factor? Write only integer number without percentage and rounding!

For example, if the number is "65.724%", the answer should written as "65".

Answer:

Question 21

How much total variance is explained by two factors? Write the number with 3 decimals without percentage! For example, the number "86.836%" should be input as "86.836".

Answer:

Question 22

Look at the Rotated component matrix table! How many variables are united in the second factor?

Answer:

Question 23

Using the statistics from the Descriptive Statistics table, calculate the standardized value for the first case of the x3 variable! How much is it? Write this number with 3 decimals without rounding!

Answer:

Question 24

Using the Component Score Coefficient Matrix table calculate the value of the second factor for the first case! Write the value with 3 decimals without rounding!

Answer:

Explanation / Answer

1. a. a method of data reduction because we use factor anaysis to find the most important variables to be used

2. a. True

3. No images

4. b. True

5. a. False: The number of cases used in the analysis < number of cases in the data file if there are missing values in the variables we are using

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