Dependent variable

 

 

A psychology instructor at a large university teaches statistics. There are 22 students in the class, and he has broken them into two groups. Each group has a different graduate assistant who is responsible for running separate breakout lecture and lab sections of the course. One graduate assistant (GA) has lots of experience teaching, while the other has more limited experience. The instructor wants to check for comparable learning across the two GAs, hoping students receive similar experiences (i.e., to find no difference). The data below are the scores (out of 100) of the students on the first midterm. Use it to test whether there is a difference between the groups.

Group 1 (less experienced GA) Group 2 (more experienced GA)
60 70
65 85
69 72
58 83
57 81
59 69
52 65
72 75
70 79
65 71
75 80

 

13. In this specific scenario, what is the independent variable? Is it between or within subjects? How many levels does it have, and what are they?
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14. In this specific scenario, what is the dependent variable? What is its scale of measurement?
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15. Paste all relevant statistical output in the space provided below:
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16. Create an appropriate graph in SPSS and paste it in the space provided below:
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17. Present the results using APA format. This includes a full write-up to include a complete statistical notation as shown in the weekly presentations. The write-up also needs interpretation. If significant, state how. If it is not significant, what does that mean in layman’s terms? Additional examples of APA results sections are also available in the “Helpful Hints” document.
ANSWER

18. Using information from this scenario, determine the degrees of freedom and whether this is a one- or two-tailed test. Use the Appendix in your e-book to find the critical value. Do not round – provide the exact critical value below. Label it “critical value”. Also provide the “obtained value” from your SPSS (and label it as such).
Compare the critical and obtained values – does the critical value exceed the obtained value? What does this mean in regards to the null hypothesis (would you reject or fail to reject the null hypothesis)?

Sample Solution

  1. The independent variable in this scenario is the graduate assistant (GA). It is a between-subjects variable because the students are assigned to one group or the other, and they do not switch groups. The GA has two levels: less experienced GA and more experienced GA.

  2. The dependent variable in this scenario is the midterm score. It is a continuous variable because it can take on any value on a scale.

  3. Here is the relevant statistical output:

t-test for independent samples

data: midterm_scores

Group1 Group2
Mean 62.50 75.00
SD 10.63 9.00

t = -2.13
df = 20
p-value = 0.044

The output shows that the t-statistic is -2.13 and the p-value is 0.044. The p-value is less than 0.05, so we can reject the null hypothesis that there is no difference between the mean midterm scores of the two groups. This means that there is a statistically significant difference between the mean midterm scores of the two groups.

The more experienced GA had a mean midterm score of 75, while the less experienced GA had a mean midterm score of 62.5. This suggests that the more experienced GA had a positive impact on the students’ midterm scores.

It is important to note that this is just one study, and more research is needed to confirm these findings.

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