We will employ the SPSS dataset talent.sav, which can be found in Doc Sharing, in our exploration of interpreting a One-Way MANOVA. You will need to install the PASW Grad Pack 18.0 in order to download the dataset.
Open the SPSS dataset talent.sav. This dataset is composed of responses to a survey of more than 500 high school seniors. The dataset was collected for the purpose of attempting to employ aptitude, achievement, and demographic variables to predict the seniors' future career choices.
Here are our variables:
Categorical predictor/"Fixed Factor" - "collplan" - this variable is composed of the individual’s membership in the following categories (the individual’s plan to focus on the following areas in college):
None
Teacher college
Agricultural college
Engineering college
Liberal arts
Music/arts
University
Other
No plans yet
Quantitative Outcome Variables:
"abstract" - a test of abstract reasoning
"creative" - a test of creativity
We are attempting to answer the following question: How well do the categorical predictor variable "factors" (levels) predict scores on a.) a measure of abstract reasoning ability, and b.) a measure of creativity?
Open the SPSS dataset talent.sav.
Select "Analyze," "General Linear Model," then "Multivariate."
Move "abstract" and "creative" into the Dependent Variable window.
Move "collplan" to the Fixed Factor window (categorical predictor variable).
"Continue"
Select "Options" - Under Factor(s) and Factor Interactions, move "collplan" to "Display means for" window
Select "Display," then check "Descriptive Statistics" and "Homogeneity tests."
"Continue"
Select "OK" to run the analyses.
On the basis of these analyses, answer the following questions:
What is the Box’s M Test F and associated p value? What does this tell us?
What is the Levene’s F and associated p value? What does this tell us?
Examining the Wilk’s Lambda for "collplan":
What is the F and associated p value?
What does this tell us?
Examining the descriptive statistics and the results of the omnibus F ratio, write a brief summary verbally interpreting these results for your reader.
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Also, we do not do your work for you. Once you have attempted to answer your questions, we will be happy to give you feedback on your work. Although it might require more time and effort, you will learn more if you do your own work. Isn't that why you go to school?
What are the steps espoused by the Applied Statistics in Business and Economics for formal hypothesis testing? Provide examples.
BOX m 23.586 f= .925 p=.568
find u=(*)
To answer the questions and interpret the results, follow these steps:
1. Install the PASW Grad Pack 18.0 and download the dataset talent.sav from the Doc Sharing section.
2. Open the SPSS software and load the talent.sav dataset.
3. Go to the "Analyze" menu, select "General Linear Model," and then choose "Multivariate."
4. In the "Dependent Variable" window, move the variables "abstract" and "creative."
5. In the "Fixed Factor" window, move the variable "collplan" (categorical predictor).
6. Click on "Continue."
7. Select "Options." Under "Factor(s) and Factor Interactions," move "collplan" to the "Display means for" window.
8. Select "Display" and check both "Descriptive Statistics" and "Homogeneity tests."
9. Click on "Continue."
10. Finally, click on "OK" to run the analyses.
Now, let's interpret the results:
Q1: What is the Box's M Test F and associated p-value? What does this tell us?
The Box's M Test is used to test the assumption of homogeneity of covariance matrices across groups. The test provides an F-value and associated p-value. A p-value less than 0.05 indicates that the assumption of homogeneity is violated. On the output, locate the Box's M Test result, note the F-value and associated p-value, and interpret whether the assumption of homogeneity is violated or not.
Q2: What is the Levene's F and associated p-value? What does this tell us?
Levene's test is used to test the assumption of homogeneity of variances across groups. The test provides an F-value and associated p-value. A p-value less than 0.05 indicates that the assumption of homogeneity is violated. On the output, locate the Levene's Test result, note the F-value and associated p-value, and interpret whether the assumption of homogeneity is violated or not.
Q3: Examining the Wilk's Lambda for "collplan": What is the F and associated p-value? What does this tell us?
Wilk's Lambda is a multivariate test statistic used to determine if there are significant differences between groups. It provides an F-value and associated p-value. A small p-value indicates that there are significant differences between the groups. On the output, locate the Wilk's Lambda result for "collplan," note the F-value and associated p-value, and interpret whether the groups significantly differ or not.
Q4: Examining the descriptive statistics and the results of the omnibus F ratio, write a brief summary verbally interpreting these results for your reader.
To interpret the descriptive statistics and the omnibus F ratio, examine the means, standard deviations, and overall F-value of the analysis. Describe the pattern of means across the levels of the categorical predictor variable "collplan" for both the "abstract" and "creative" outcome variables. Discuss whether there are any significant differences between the groups based on the F-value. Provide a clear and concise interpretation of the results for your reader.