Investigate if being above or below the median income medloinc impacts ACT means act94 for schools
1- You are interested in investigating if being above or below the median income (medloinc) impacts ACT means (act94) for schools. Complete the necessary steps to examine univariate grouped data in order to respond to the questions below. Although deletions and/or transformations may be implied from your examination, all steps will examine original variables.
a. How many participants have missing values for medloinc and act94?
b. Is there a severe split in frequencies between groups?
c. What are the cutoff values for outliers in each group?
d. Which outlying cases should be deleted for each group?
e. Analyzing histograms, normal Q-Q plots, and tests of normality, what is your conclusion regarding normality? If a transformation is necessary, which one would you use?
f. Do the results from Levene’s test for equal variances indicate homogeneity of variance? Explain.
2- You are interested in studying predictors (math94me, loinc93, and read94me) of the percentage graduating in 1994 (grad1994).
a. Examine univariate normality for each variable. What are your conclusions about distributions? What transformation should be conducted?
b. After making the necessary transformations, examine multivariate outliers using Mahalanobis distance. What cases should be deleted?
c. After deleting the multivariate outliers, examine multivariate normality and linearity by creating a Scatterplot Matrix.
d. Examine the variables for homoscedasticity by creating a residuals plot (standardized vs. predicted values). What are your conclusions about homoscedasticity?
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