Remember - if you are working in a group - no more than 3/group. Make sure every
ID: 3223578 • Letter: R
Question
Remember - if you are working in a group - no more than 3/group. Make sure everyone's first and last names are on the sheet that you turn in. Grading is based on a 4 point scale. At least one or more of the questions was attempted Most questions were attempted with at least partially correct/complete answers All questions were answered and answers were at least partially correct. All questions were answered and the answers were correct and usually complete. A research team finds a significant F when they test whether four different treatments for anxiety help to reduce participant anxiety. The sums for the groups are listed below the other information about the Tukey test. Treatment A sigma X = 553 Treatment B sigma x = 499 Treatment C sigma x = 587 Treatment D sigma x = 623 n for each group = 10 HSD = 8.75 What does the HSD value tell you? Which treatments are significantly different from each other? What does it mean in practical terms of two treatments are not significantly different from each other? Assume that you have completed a research project that has two independent variables, factor A which has 4 levels, and factor B which has 4 levels. Complete this F summary table using the information already in the table and the information given at the start of this question. Determine which F values are significant.Explanation / Answer
a) HSD value represents the minimum distance between two group means that must exist before the difference between the two groups is to be considered statistically different.
b) The mean of the treatments are
Treatment A - 553/10 = 55.3
Treatment B - 499/10 = 49.9
Treatment C - 587/10 = 58.7
Treatment D - 623/10 = 62.3
Difference in means for Treatment A and B = 55.3 - 49.9 = 5.4
Difference in means for Treatment A and C = 58.7 - 55.3 = 3.4
Difference in means for Treatment A and D = 62.3 - 55.3 = 7
Difference in means for Treatment B and C = 58.7 - 49.9 = 8.8
Difference in means for Treatment B and D = 62.3 - 49.9 = 12.4
Difference in means for Treatment C and D = 62.3 - 58.7 = 3.6
As, Difference in means for Treatment B and C and B and D are greater than HSD value (8.75), Treatment B and C and Treatment B and D are statistically different.
C. If two treatments are not statistically different from each other, they give the same effect on applying the treatments.