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.
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
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
Any problems with the
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.
Method of extraction
and rotation(use only
Maximum Likelihood with Direct Oblimin rotation
Excluded W18, W21
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
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)
|Due By (Pacific Time)||09/10/2014 12:00 am|
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