PSY207 Problem Set 4, Chapters 12 – 14
Using the space provided, report your answers to each question. Please show ALL your calculations, feel free to do so with additional sheets of paper, and make clear what your final answer is. Please round your answers to two decimal places.
1.) In an effort to improve reading scores, two new methods of reading interventions were tested. With three groups (A: control, B: method 1, C: method 2), we obtain the data below:
A |
B |
C |
T = 5 |
T = 25 |
T = 30 |
SS = 12 |
SS = 20 |
SS = 14 |
n = 5 |
n = 5 |
n = 5 |
M = 1 |
M = 5 |
M = 6 |
ΣX^{2} = 356 N = 15 G = 60
b.) Using an alpha level of .05, what is the F_{crit}value and can we conclude that there is a significant difference between treatments?
Use F tables and find the right sided F value associated with p value of 0.05 at df (2,12)
c.) Use the Tukey’s HSD test to determine which of the treatments are significantly different from each other. Use the α = .05 level of significance for all tests.
Step1: Find HSD
Q value is from q tables for turkey’s HSD. We need k value and Df for within
Step 2: Find the mean difference between the Treatments. Any difference greater than the HSD is considered significant
- Treatment A and B
- Treatment B and C
- Treatment A and C
d.) Calculate the proportion of variance account for (η^{2})
2.) A researcher has decided to test whether a new drug therapy is effective at reducing anxiety symptoms. She tests four individuals at three different levels of medication and finds the results in the table below. Can we conclude that there is a difference in anxiety levels at different medication levels?
G = 48
b.) Using an alpha level of .05, what is the F_{crit}value and can we conclude that there is a significant difference between treatments?
Use F tables and find the right sided F value associated with p value of 0.05 at df (2,6)
Where 2 = df between treatments
3.) Use the following data to complete parts a – g.
X |
Y |
1 |
2 |
4 |
7 |
3 |
5 |
2 |
1 |
5 |
14 |
3 |
7 |
a.) Plot the data using the graph to the right.
b.) Does there seem to be a relationship? If so is it…
d.) Using an alpha level of .05, report your degrees of freedom (df) and if your correlation coefficient is significant?
e.) What is your coefficient of determination (r ^{2}).
r^{2} =
f.) Find the regression equation for predicting Ŷ from X.
Y= 3x- 3
g.) Use the regression equation to
find Ŷ given the following X values.
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