Lisa is performing a study on the amount of remorse experienced following a rela
ID: 3217230 • Letter: L
Question
Lisa is performing a study on the amount of remorse experienced following a relational transgression (i.e., rule violation). Lisa thinks that participants in serious relationships will experience more remorse than to people in Casual relationships or FWBRs. She also thinks that Casual relationships will experience more remorse than FWBRs. Fill in the blanks by typing in your answer for the tables below and answer all the questions on the next page (15 points).
Serious
Casual
FWBR
18
14
8
15
13
7
17
15
7
16
12
5
18
11
10
Mean =
n =
The next page provides you with tables to fill in to calculate your answers (type in your responses).
SHOW YOUR WORK BELOW by filling out the following table to calculate your SS-between and SS-within.
Fill in the following ANOVA table.
Source
SS
df
MS
F
p
2
Between-Groups
.05
Within-Groups
---
---
---
Total
---
---
---
1.00
Answer the following questions below (6 pts)
What is the GRAND mean?
What is the TOTAL N?
What is the IV?
How many levels in the IV?
What is the DV?
What is Lisa's alternative hypothesis and null hypothesis?
Ha:
Ho:
What are the degrees of freedom in this example?
What is your f-value?
Assuming is .05, what is your critical f-value?
Do you have statistical significance? How can you tell?
What do you do with the null hypothesis?
What is your effect size? What does this mean? Is this a small, medium, or large effect size?
Serious
Casual
FWBR
18
14
8
15
13
7
17
15
7
16
12
5
18
11
10
Mean =
n =
Explanation / Answer
a)
b)
CM, the correction for the mean. is given by
CM = (Sum of all obsevations)2 /Ntotal
CM = (186)2/15 = 2306.4
SSbetween = [(sum of each treatment)/n] - CM, n is the number of observations for each treatment level
= 842/5 + 652/5 + 372/5 - 2306.4 = 223.6
SStotal = sum of squares of all observations CM = (182 + 152 + 172 + 162 + 182 + 142 + 132 + 152 + 122 + 112 + 82 + 72 + 72 + 52 + 102) - 2306.4 = 253.6
SSwithin = SStotal - SSbetween = 253.6 - 223.6 = 30.0
dfbetween = 3-1 = 2
dftotal = N-1 = 15-1 = 14
dfwithin = dftotal - dfbetween = 14-2 = 12
MSbetween = SSbetween/dfbetween = 223.6/2 = 111.8
MSwithin = SSwithin/dfwithin= 30/12 = 2.5
F = MSbetween/MSwithin = 111.8/2.5 = 44.72
c) Grand mean = (16.8+13+7.4)/3 = 12.4
d) 15 observations, N=15
e) Type of relationship
f) 3
g) amount of remorse experienced
h) Ho: 1=2=3
Ha: Not all are equal
dfbetween = 3-1 = 2
dftotal = N-1 = 15-1 = 14
dfwithin = dftotal - dfbetween = 14-2 = 12
i) F = 44.72
j) Fcrit(2,12) = 3.885
k) yes, F > Fcrit
l) Reject the null hypothesis
m) effect size = SSbetween/SStotal= 223.6/253.6 = 0.8817
88.17% of the total variance is accounted for by the treatment effect.
Serious Casual FWBR 18 14 8 15 13 7 17 15 7 16 12 5 18 11 10 Mean = 16.8 13 7.4 n = 5 5 5Related Questions
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