Directions: Answer each question completely, showing all your work. Refer to the SPSS tutorials as needed (see all attachments). Copy and Paste the SPSS output into the word document for the calculati

Example:

An instructor was interested to learn if there was an academic difference in stu- dents from different states. She randomly selected 20 students from each of three states; California, Arizona, and Colorado who were a part of the entering freshman class at the University. She assessed them based on their English and math placement tests. The independent variable is the state and the dependent variables are the scores on the two placement tests. The results are as follows.

The first step is to enter the data into the SPSS data editor. You will need three col- umns for the three variables. The first is state, second Math scores, and finally English scores. 02 To begin the analysis click on Analyze – General Linear Model – Multivariate. In the Multivariate Window move Math and English to the Dependent Variable box and State to Fixed Factor(s).

Then select Options. 03 Move State to the Display Means for box and put a check next to Descriptive Statis- tics, Estimates of effect size, and Ob- served power . Then Click Continue . Click Continue in the Multivariate window and the output will be displayed in the out- put viewer. 04 There are multiple boxes of information provided by this analysis. The first box sim- ply states how many samples there were for each level of the independent variable. The Descriptive Statistics box provides the mean and standard deviation for the two different dependent variables which have been split by the independent variables levels. 05 The next box is the Multivariate tests. This is where we find the actual results of the one-way MANOVA. We want to look at the second effect labeled State and the Wilks’ Lambda row. The Sig column gives the p-value and we can determine if the results were statistically significant. Since the p-value = .223 then we see that there is not a statistically significant difference in the students academics from different states. 06 To determine how the dependent variables differ for the independent variables, we need to look at the Tests of Between–Subjects Effects. Based on the p-values (Sig.) for Math and English, which are greater than 0.05, State does not have a significant effect on Math or English results.