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# One way anova and levene's test for testing the variance among groups

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unknowingly receive the same pen to evaluate. The respondents are permitted to test the pen and the plausibility of the advertising copy. The respondents are then asked to rate the pen from 1 to 7 (lowest to highest) on the product characteristic scales of appearance, durability, and writing performance. The combined scores of three ratings (appearance, durability, and writing performance) for the 30 respondents in the data to the left.

a. At the 0.05 level of significance, is there evidence of a difference in the mean rating of the five advertisements?

b. If appropriate, determine which advertisements differ in mean ratings.

c. At the 0.05 level of significance, is there evidence of a difference in the variation in ratings among the five advertisements?

See attached file for data.

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#### Solution Summary

This solution is comprised of a detailed explanation of one way ANOVA for testing the mean of more than two groups and levene's test for testing of variance for more than 2 groups. This solution mainly discussed about the output of one way ANOVA and Levene's test for equality of more than 2 groups. Full interpretation with respect to 4 questions with output is provided for better clarity and understanding.

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## ANOVA Analysis Of College Student's Age Survey

Hi Martin!

Ok, this little project is dealing with ANOVA tests. I have some data that I have collected from a range of students at freshman to senior levels, and need the ANOVA tests and interpretation results for them. Here are the exact instructions:

1). You are required to visit a local college , find out the age group of particpants who are freshman, sophomores, juniors, and seniors. You need to find the age of 10 participants across each level.

2). Compute a one way ANOVA to determine whether there are significant age differences across years in college (freshman, sophomores, juniors, an seniors). Report your results in the APA format and write a short interpretation.

3). Save the SPSS output, and name it PSY2008_W7_A1_Lastname_Firstinital.spv.

Write interpretation in a Word dox, name the document : SU_PSY2008_W7_A1_Lastname_Firstinitial_.dox.

Martin:
Here is my data I collected from Edison Community College, Ft. Myers, FL
Freshman: 7- 18 y/o; 1 - 20 y/o; 1- 25 y/o; 1- 66 y/o
Sophomore: 2 - 19 y/o; 2 - 26 y/o; 2 - 27 y/o; 3 - 39 y/o; 1 - 52 y/o
Junior: 1 - 21 y/o; 3 - 24 y/o; 2 - 35 y/o; 1 - 42 y/o; 1 - 44 y/o; 2 - 48 y/o
Senior: 4 - 22 y/o; 2 - 24 y/o; 3 - 29 y/o; 1 - 33 y/o.

Thanks so much. If any questions, do not hesitate to contact me! Thank you!

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