Question

1. (18 pts) Use the “IQ Data.sav” (SPSS) dataset (located on the course Reggienet site) to complete the following questions. This dataset contains the IQ levels of three groups of undergraduates from different Illinois State University colleges. Write your findings using the format presented in the class slides.
2. 1. (2 pts) Interpret your findings from the One-Way ANOVA test you completed in part (d). In addition, what do the post hoc tests suggests as to the mean IQ scores of the three groups of students. Please provide a thorough response.
3. 2. (2 pts) What is the F critical value assuming a 5% significance level of the ANOVA test that you just performed in part (d)? (Hint: you will need to look this up on an F table.)
4. 3. (2 pts) Compare the means of College of Business and College of Education undergraduate students against College of Applied Science and Technology undergraduate students. Do these two student groups have equal means? Please provide a thorough response.
5. 4. (2 pts) Conduct a non-parametric alternative to the One-Way ANOVA you performed in part (d). Attach a copy of your results and interpret your findings. Please provide a thorough response. Are the results similar to the One-Way ANOVA? Will this always be the case? Please provide a thorough response.

College IQ

1.00   44.00
1.00   40.00
1.00   44.00
1.00   39.00
1.00   25.00
1.00   37.00
1.00   31.00
1.00   40.00
1.00   22.00
1.00   34.00
1.00   39.00
1.00   20.00
1.00   39.00
1.00   42.00
1.00   41.00
2.00   36.00
2.00   40.00
2.00   37.00
2.00   35.00
2.00   39.00
2.00   40.00
2.00   36.00
2.00   38.00
2.00   24.00
2.00   27.00
2.00   29.00
2.00   24.00
2.00   45.00
2.00   44.00
2.00   44.00
3.00   52.00
3.00   50.00
3.00   51.00
3.00   52.00
3.00   45.00
3.00   49.00
3.00   47.00
3.00   46.00
3.00   47.00
3.00   47.00
3.00   46.00
3.00   45.00
3.00   50.00
3.00   47.00
3.00   49.00

Answer 1

1. (2 pts) Interpret your findings from the One-Way ANOVA test you completed in part (d). In addition, what do the post hoc tests suggests as to the mean IQ scores of the three groups of students. Please provide a thorough response.

Since the p-value (0.000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the IQ levels of the three groups of undergraduates from different Indiana State University colleges are different.

1. (2 pts) What is the F critical value assuming a 5% significance level of the ANOVA test that you just performed in part (d)? (Hint: you will need to look this up on an F table.)

The critical value is 3.22.

1. (2 pts) Compare the means of College of Business and College of Education undergraduate students against College of Applied Science and Technology undergraduate students. Do these two student groups have equal means? Please provide a thorough response.

College	N	Mean	Grouping
3	15	48.200	A
2	15	35.87		B
1	15	35.80		B

Means that do not share a letter are significantly different.

1. (2 pts) Conduct a non-parametric alternative to the One-Way ANOVA you performed in part (d). Attach a copy of your results and interpret your findings. Please provide a thorough response. Are the results similar to the One-Way ANOVA? Will this always be the case? Please provide a thorough response.

Test

Null hypothesis	H₀: All medians are equal
Alternative hypothesis	H₁: At least one median is different

Method	DF	H-Value	P-Value
Not adjusted for ties	2	29.11	0.000
Adjusted for ties	2	29.20	0.000

The results are similar to the One-Way ANOVA. This will not always be the case.