PSY 870: Module 5 Problem Set

PSY 870: Module 5 Problem SetAnxiety and CountryThis
study examined differences in anxiety level between an industrial
country and a nonindustrial country. Anxiety is assessed three
ways—cognitive, affective, and behavioral—with higher scores indicating
higher levels of the anxiety dimensions.Directions:Using
the SPSS data file for Module 5 (located in Topic Materials), answer
the following questions. NOTE: Helpful hints are provided here for you
to use while answering these questions.1. What is the ONE independent variable in this study? What are the dependent variables?2. Why is a one-way between-subjects MANOVA appropriate to use for this research design?HINT:Consider the number of IVs and the number of DVs for your answer.3.
Did you find any errors that the researcher made when setting up the
SPSS data file (don’t forget to check the variable view)? If so, what
did you find? How did you correct it?HINT:YES!
The Measures (for scale of measurement) is wrong for each of the 4
variables! You need to indicate what was wrong and what should be the
correct measures.4.
Perform Initial Data Screening. What did you find regarding missing
values, univariate outliers, multivariate outliers, normality? Although
you are not asked to make adjustments, what should you consider when you
find these kinds of outcomes?HINTS:• For missing values, see Case Processing Summary• Univariate outliers: inspect boxplots•
Multivariate outliers: Don’t forget to create the Case ID variable to
do this analysis. Then, perform a regression analysis with CaseID as the
DV and Country as the IV in order to compute the Mahalanobis distance
measures. Be sure to click Save when you are setting up the regression
so the regression scores will be saved to a new variable (automatically
named MAH_1). Then, Explore MAH_1 scores, remembering to check the
“Outliers” box that is found with Plots. This will give you information
about multivariate outliers.• Normality:? Examine the skewness and kurtosis values for each dependent variable:? Examining the histograms? Examine the Shapiro-Wilks’ results5.
Perform a one-way between-subjects MANOVA on the data. Before
interpreting the results of the MANOVA, check outcomes that test other
assumptions for this statistic: equality of covariance matrices (see
Box’s Test) and sufficient correlation among the DVs (see Bartlett’s
Test of Sphericity). Also check the results of the Levene’s Test of
Equality of Error Variances to evaluate that assumption for the
univariate ANOVAs that are run and show in the Tests of Between-Subjects
Effects output. What have you found about whether the data meet these
additional assumptions for the MANOVA and followup ANOVAs?HINTS:•
Be sure to read the instructions very carefully in the textbook for
what to check to get these results for these tests of assumptions (e.g.,
you have to check Residual SSCP matrix within Options to get the
results of the Bartlett’s Test of Sphericity).•
Be sure to review what a statistically significant outcome means for
each test: in some cases, it means a violation, but in others it means
an assumption is met.6.
What is the outcome of the multivariate tests (which looks at the
effects of the IV on all three DVs at the same time)? Given results of
your tests for homogeneity of variance-covariance matrices for the
dependent variables, is it more appropriate to use Wilks’ lambda or
Pillai’s trace to interpret outcomes, or does it make a difference?
Report either the Pillai’s Trace or Wilks’s Lambda for your results, as
well as the associated F value and its statistical significance. Use the
following format for notation: Pillai’s Trace OR Wilks’ lambda = ____;
F(df, df) = ____, p = ____, ?2= _____. What does this information tell
you about the difference between the two countries on the linear
combination (the variate) of the dependent variables?HINT:Here,
and ONLY for a one-way MANOVA with only two groups for the IV, eta
squared and partial eta squared are the same value; you can use the
value given for partial eta squared in the SPSS results of the
Multivariate Tests to be eta squared, ?2, and save the step of hand
calculating ?2 .)7.
Given the results of the multivariate tests, is it OK now to move on to
interpret the results of the Tests of Between-Subjects Tests? Why?
Explain. If yes, what are the results and what do they mean? (Report
each of the results using the format of F(df, df) = _____, p = _____ ,
?2 = _____ for each DV. )8.
Citing the results of your statistical analyses, what is the conclusion
you can draw (and support) regarding research question that was posed
in this research (see problem statement)?HINT:
Use the sample results write-up in the textbook to see what you should
report and how to say it. Just substitute the correct language and
values for the analyses you have done for this problem.