Project #39546 - SPSS Factor analysis

Assessment overview (will upload additional files)

For this assessment, you need to use the SPSS data file entitled ‘Wbk3.sav’ (link will be supplied in a seperate document) to conduct a factor

analysis until simple structure is achieved.

Assessment details

When conducting the factor analysis you need to report the changes you make at each step of the

analysis in the document entitled ‘Answer3’ (you can download this from Blackboard). You need to

save this file as ‘SurnameAnswer3.doc’ and submit it to Blackboard when you have finished the

assessment.

In a study conducted by a psychologist, respondents were asked to consider the following

statements and to indicate the extent to which they agreed or disagreed with each statement.

N21 I'm pretty good about pacing myself so as to get things done on time

N22 I rarely have time to look at art

N23 I am intrigued by the patterns I find in art and nature

N24 I rarely feel lonely or blue

N25 I often feel tense and jittery

N26 Poetry has little effect on me

N27 I have a clear set of goals and work towards them in an orderly fashion

N28 Sometimes I feel completely worthless

N29 I often try new and foreign foods

N30 I waste a lot of time before settling down to work

N31 I rarely feel fearful or anxious

N32 I work hard to accomplish my goals

N33 I am a cheerful optimist

N34 Sometimes when I am reading poetry or looking at art I feel a chill of excitement

N35 I am seldom sad or depressed

N36 I have little interest in speculating on the nature of the universe

N37 I never seem able to get organised

Data based on this survey is given in Wbk3.sav

a. Use SPSS to perform a factor analysis on N21 to N37. (NB: DO NOT include gender

and age in your analysis. These variables are only for use in part g.) Use the principal axis

factoring, Kaiser’s criterion and a direct oblimin rotation. For your answer to this part give

the pattern matrix to show that you have performed the analysis.

b. Using the pattern matrix, describe the sort of participant who would score high on factor

1. (Take careful note of how the variables have been coded in the SPSS data file.)

c. Comment on the problems with the factor solution produced in part a. What is the first step

you would take to improve the factor solution? Give the pattern matrix for this next factor

analysis.STA20007 Multivariate statistics

d. Continue to work on improving your factor solution. Take any further steps you think

necessary to produce a better factor solution. (You should try different methods of

extraction, leave out variables, try different numbers of factors etc.) In your answer discuss

the alternatives you have tried and why you tried them. For each alternative you give a copy

of the pattern matrix and draw up the following table:

e pattern matrix and draw up the following table:

Method of extraction

Method of rotation

(use only oblique

rot AnaytiVoans) riables

exNucmlubded er of factors

retained

Any problems with the

factor solution

Next step and why

See example below

We are looking for you to demonstrate a systematic approach to the actor analysis – see page

264 of the text for suggestions regarding the process to follow.

e. When you are happy with the factor solution you have produced, give the SPSS output

showing the full pattern matrix (with no suppressed values) and the factor correlation

matrix (the table of correlations between the factors).

f. For your final factor solution, give a name for each factor, and indicate what a high score

on each factor represents.

g. Produce factors scores for the final factors and use the SPSS CORRELATION procedure

to calculate the correlation between age and each of the factors. Briefly describe these

correlations, including the value of Pearson’s r.

Example:

Method of extraction

and rotation(use only

oblique rotations)

Maximum Likelihood with Direct Oblimin rotation

Any Variables

excluded

Excluded W18, W21

Number of

factors retained

Kaiser’s criterion used, 3 factors retained

Any problems with

the factor solution

W4 and W8 don’t have substantial loadings on any

factor. W7 has substantial loadings on both factor

Next step 2Keaenpdofact neomro3re factor

Assessment criteria

Total is out of 12 marks, which are distributed as follows:

Q1a: Pattern matrix correct (1 mark).

Q1b: Direction correct (0.5 marks).

Mentions all relevant variables (0.5 marks).

Gives suitable overview of factor (0.5 marks).

Q1c: Notes issues with first attempt at factor analysis (2.5 marks)

Q1d: Final analysis shows simple structure (or if can’t achieve perfect simple structure, notes

why; 2 marks)

Shows systematic approach (tries different extractions, notes problems correctly,

removes only one variable at a time; 2 marks)

Q1e: Correctly produces full pattern matrix and factor correlation matrix (1 mark)

Q1f: Suitable names and direction for each factor (1 mark)

Q1g: Correct correlations produced, and correctly discussed (1 mark)

 Subject General Due By (Pacific Time) 09/10/2014 12:00 am
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