Analysis of Variance (compare means of three or more samples) Problem 1 A resear
ID: 3323455 • Letter: A
Question
Analysis of Variance
(compare means of three or more samples)
Problem 1
A researcher is concerned about the level of knowledge possessed by university students regarding United States history. Students completed a high school senior level standardized U.S. history exam. Major for students was also recorded. Data in terms of percent correct is recorded below for 32 students. Compute the appropriate test for the data provided below. (file provided majors.sav majors.xlsx)
Education
Business/Management
Behavioral/Social Science
Fine Arts
62
72
42
80
81
49
52
57
75
63
31
87
58
68
80
64
67
39
22
28
48
79
71
29
26
40
68
62
36
15
76
45
Calculate the mean test performance for each group
What test will you perform to test the equality of these four means?
What would be the null hypothesis and alternative hypothesis for this study?
Use SPSS (or r) to perform your analysis (alpha = 0.05) Paste your results below
What were your degrees of freedom (to calculate the p value)?
What is the p value for your test?
Which of the groups exhibit a statistically significant difference based on post hoc tests?
Education
Business/Management
Behavioral/Social Science
Fine Arts
62
72
42
80
81
49
52
57
75
63
31
87
58
68
80
64
67
39
22
28
48
79
71
29
26
40
68
62
36
15
76
45
Explanation / Answer
Solutions:
Its
one way ANOVA test
Calculate the mean test performance for each group
Average=sum/count
What test will you perform to test the equality of these four means?
ANOVA ONE WAY TEST
What would be the null hypothesis and alternative hypothesis for this study?
Null hypothesis:
All the 4 group means are equal
Alternative Hypotehsis:
Atleast one of the means are different.
What were your degrees of freedom (to calculate the p value)?
3 and 28
What is the p value for your test?
p=0.9875
alpha=0.05
p>alpha
Fail to reject Null hypothesis.
Accept Null hypothesis.
ALl the 4 group means are same.
Groups Count Sum Average Education 8 453 56.625 Business/Management 8 425 53.125 Behavioral/Social Science 8 442 55.25 Fine Arts 8 452 56.5Related Questions
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