EXERCISES AND REVIEW QUESTIONS
PART
FIVE: STATISTICAL TECHNIQUES TO COMPARE GROUPS
Before attempting these questions read through the
introduction to Part Five and Chapters 16-21 of the SPSS Survival
Manual.
T-tests
5.1 Using the data file survey.sav follow the instructions in
Chapter 16 of the SPSS Survival Manual to find out if there is
a statistically significant difference in the mean score for males
and females on the Total Life Satisfaction Scale (tlifesat). Present
this information in a brief report.
5.2 Using the data file experim.sav apply whichever of the t-test
procedures covered in Chapter 16 of the SPSS Survival Manual that
you think are appropriate to answer the following questions.
(a) Who has the greatest fear of statistics at time 1, males or
females?
(b) Was the intervention
effective in increasing students’ confidence
in their ability to cope with statistics? You will need to use
the variables, confidence time1 (conf1) and confidence time2 (conf2).
Write your results up in a report.
(c) What impact did
the intervention have on students’ levels
of depression?
One-way analysis of variance
For exercises 5.3, 5.4 and 5.5, you will need to open the data
file survey.sav.
5.3 Perform a one-way between-groups ANOVA to compare the levels
of perceived stress (tpstress) for the five different age groups
(agegp5), 18-24yrs, 25-32yrs, 33-40yrs, 41-49yrs and 50+yrs.
5.4 Perform post-hoc tests to compare the Self esteem scores (tslfest)
for people across the three different age groups (use the agegp3
variable).
For the following exercise you will need to open the data file
experim.sav.
5.5 Use one-way repeated measures ANOVA to compare the Fear of
Statistics scores for the three time periods (time1, time2 and
time3). Inspect the means plots and describe the impact of the
intervention and the subsequent follow-up three months later.
Two-way between-groups ANOVA
5.6 For this exercise you will need to open the data file survey.sav.
Follow the instructions in Chapter 18 of the SPSS Survival Manual
to conduct a two-way ANOVA to explore the impact of sex and age
group on levels of perceived stress. The three variables you will
need are sex, agegp5 and tpstress.
(a) Interpret the results. Is there a significant interaction
effect? Are the two main effects significant?
(b) Write up this analysis
and the results in a report. (Don’t
forget to report the means and standard deviations for each group.)
Mixed between-within subjects analysis of variance
5.7 In Chapter 19 of
the SPSS Survival Manual we explored the impact of two different
intervention programs (maths skills/confidence
building) on participants’ fear of statistics. We found that
both interventions were equally effective in reducing participants’ fear—that
is, we found no differences between groups—but a significant
difference across the three time periods. Repeat these analyses,
but this time use confidence scores as the dependent variable.
You will need to use the following variables: group, conf1, conf2
and conf3.
(a) Is there a significant interaction effect between type of
intervention (group) and time?
(b) Is there a significant main effect for the within-subjects
independent variable, time?
(c) Is there a significant main effect for the between-subjects
independent variable, group (maths skills/confidence building)?
Multivariate analysis of variance
5.8 How does MANOVA differ from ANOVA?
5.9 In Chapter 20 of the SPSS Survival Manual it is recommended
that you check the Mahalonobis distances before proceeding with
MANOVA. What does this allow you to check for?
5.10 Which assumption
is Box’s Test used to assess?
5.11 Follow the procedure detailed in Chapter 20 of the SPSS Survival
Manual to perform a MANOVA to explore positive and negative affect
scores for the three age groups (18-29yrs, 30-44yrs, 45+yrs). The
three variables you will need are tposaff, tnegaff, agegp3. Remember
to check your assumptions first.
Analysis of covariance
5.12 Under what circumstances would you want to consider using
analysis of covariance?
5.13 What issues do you need to consider when you are selecting
possible covariates?
5.14 Using the experim.sav data file, perform the appropriate
analyses (including assumption testing) to compare the confidence
scores for the two groups (maths skills, confidence building) at
time 2, while controlling for confidence scores at time 1. The
variables you will need are group, conf1, conf2.
5.15 Perform a two-way
analysis of covariance to explore the question: Does gender influence
the effectiveness of the two intervention
programs designed to increase participants’ confidence in
being able to cope with statistics training? You will need to assess
the impact of sex and type of intervention (group) on confidence
at time 2, controlling for confidence scores at time 1.
Non-parametric statistics
5.16 What is the difference between parametric techniques and
non-parametric techniques?
5.17 What factors would you consider when choosing whether to
use a parametric or a non-parametric technique?
5.18 For each of the following parametric techniques indicate
the non-parametric alternative (if one exists).
(a) one-way between-groups ANOVA
(b) Pearson’s product-moment correlation
(c) independent samples t-test
(d) multivariate analysis of variance
(e) one-way repeated measures ANOVA
(f) paired samples t-test
(g) partial correlation
(h) one-way repeated measures ANOVA
5.19 Choose and perform the appropriate non-parametric test to
address each of the following research questions.
(a) Using the survey.sav data file find out whether smokers are
significantly more stressed than non-smokers. The variables you
will need are smoke and total perceived stress (tpstress).
(b) Using the survey.sav data file compare the self-esteem scores
across the three different age groups (18-29yrs, 30-44yrs, 45+yrs).
The variables you will need are tslfest and agegp3.
(c) Using the survey.sav data file explore the relationship between
optimism and negative affect. The variables you will need are toptim
and tnegaff.
(d) Using the survey.sav data file explore the association between
education level and smoking. The variables you will need are educ2
and smoke. Check the codebook and the questionnaire in the appendix
of the SPSS Survival Manual for details on these two variables.
(e) Using the experim.sav data file compare the depression scores
at time 1 and the depression scores at time 2. Did the intervention
result in a significant change in depression scores? The variables
you will need are depress1 and depress2.
(f) Using the experim.sav data file compare the depression scores
for the three time periods involved in the study (before the intervention,
after the intervention and at the three-month follow up). The variables
you will need are depress1, depress2 and depress3.
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