Understanding and Exploring Assumptions
Application ? Exploring Assumptions
You will submit one Word document for this activity, including your SPSS output.
1. Why do we care whether the assumptions required for statistical tests are met? (Tip: You might also
want to write your answer on a note card you paste to your computer.)
2. Open the data set that you corrected in Activity #1 for DownloadFestival.sav. You will use the
following variables: Day1, Day2, and Day3 (hygiene variable for all three days). Create a simple
histogram for each variable. Choose to display the normal curve (under Element Properties) and title
your charts. Copy these plots into your Word document.
3. Now create probability-probability (p-p) plots for each variable. This output will give you additional
information. Read over the Case Processing Summary. Notice that there is missing data for Days 2 and
Day 3. Copy only the Normal p-p Plots into your Word document (you do not need to copy the beginning
output nor the Detrended Normal p-p Plots).
4. Examining the histograms and p-p plots, describe the dataset with particular attention toward the
assumption of normality. For each day, do you think the responses are reasonably normally distributed?
(Just give your impression of the data.) Why or why not?
5. Using the same dataset and the Frequency command, calculate the standard descriptive measures
(mean, median, mode, standard deviation, variance and range) as well as kurtosis and skew for all three
hygiene variables. Paste your output into your Word document (you do not need to paste the Frequency
Table). What does the output tell you? You will need to comment on: sample size, measures of central
tendency and dispersion and well as kurtosis and skewness. You will need to either calculate z scores for
skewness and kurtosis or use those given in the book to provide a complete answer. Bottom line: is the
assumption of normality met for these three variables? Does this match your visual observations from
6. Using the dataset SPSSExam.sav and the Frequency command, calculate: the standard descriptive
statistics (mean, median, mode, standard deviation, variance and range) plus skew and kurtosis, and
histograms with the normal curve on the following variables: Computer, Exam, Lecture, and Numeracy
for the entire dataset. Complete the same analysis using University as a grouping variable. Paste your
output into your Word document (you do not need to paste the Frequency Table). What do the results
tell you with regard to whether the data is normally distributed?
7. Using the dataset SPSSExam.sav, determine whether the scores on computer literacy and percentage
of lectures attended (with University as a grouping variable) meet the assumption of homogeneity of
variance (use Levene?s test). You must remember to unclick the ?split file? option used above before
conducting this test. What does the output tell you? (Be as specific as possible.)
8. Describe the assumptions of normality and homogeneity of variance. When these assumptions are
violated, what are your options? Are there cases in which the assumptions may technically be violated,
yet have no impact on your intended analyses? Explain.
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