Question

One-Way ANOVA 1) Below is a hypothetical experiment with data included: Please perform a data analysis using SPSS. Include data inspection, description, and a one-way ANOVA with supporting graph showing confidence intervals (error bar graph). Attach both to this Board.

2) Add a brief paragraph explaining the conclusions about the data in this study. Did it show a significant difference? Why or why not.

A researcher wants to see if seating position in a classroom has a differential effect on learning. He randomly assigns students to sit in the first two rows (group A-closest to the instructor); the middle two rows (group B) or the last two rows (Group C - furthest from the instructor): He then teaches a unit and tests learning with a quiz (maximum possible score is 30). The results follow:

Group A: 8 14 12 13 15 15 9 19 13 22 15 12 26 13 19 18 15 13 18 8 16 11 14 19 8

Group B: 10 23 9 9 12 15 8 8 23 6 9 6 20 5 6 14 25 2 1 18 8 11 12 6 3

Group C: 8 1 2 23 9 28 6 9 11 1 8 11 13 13 10 8 7 6 9 10

Answer 1

The SPSS output is:

The SPSS graph is:

The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃

H_a: Not all means are equal

The test statistic is 4.553.

The p-value is 0.014.

Since the p-value (0.014) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the seating position in a classroom has a differential effect on learning.