a. What is the null hypothesis concerning these variables? b. Are the variances equal across the groups? How do you know? c. Based on what you decided in b) is it best to use the ANOVA results or the Welch results?
a. What is the null hypothesis concerning these variables? b. Are the variances equal across the groups? How do you know? c. Based on what you decided in b) is it best to use the ANOVA results or the Welch results?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:NONE
282
081
h. Which religious group(s) seem to have the most negative views of Buddhism? Which seem to
have the most positive views?
OTHER
273
207
BUDDHISM
-523
257
JEWISH
PROTESTANT
198
251
CATHOLIC
-201
254
NONE
081
252
OTHER
474
316
BUDDHISM
-724
351
NONE
PROTESTANT
116
072
CATHOLIC
081
Double-dlick to
JEWISH
adivate
252
OTHER
-555
205
BUDDHISM
805
256
OTHER
PROTESTANT
671"
204
CATHOLIC
273
207
JEWISH
474
316
NONE
555
205
BUDDHISM
-250
319
BUDDHISM
PROTESTANT
921
255
CATHOLIC
523
257
JEWISH
.724
351
NONE
805
256
OTHER
250
319
a. What is the null hypothesis concerning these variables?
b. Are the variances equal across the groups? How do you know?
c. Based on what you decided in b) is it best to use the ANOVA results or the Welch results?
d. Based on the p-value (significance) from these results, can you reject the null hypothesis?
e. What do these results tell us about the relationship between the two variables (be specific
about what THIS test tells us – i.e., what does an ANOVA test actually do?
f. Which post-hoc test results should be used-the Scheffe or the Dunnett C? Why?
llullulliullte
Transcribed Image Text:4. Below are the results of an ANOVA test using the comparing religious groups views of
NONE
PROTESTANT
116
077
809
CATHOLIC
-282
089
074
Buddhism. 1=very negative, 2=somewhat negative, 3=neutral, 4=somewhat positive, and
JEWISH
-081
238
1.000
5=very positive. Answer the questions based on the information in these results.
OTHER
-555
244
396
BUDDHISM
805
359
414
OTHER
PROTESTANT
Descriptives
671
240
167
CATHOLIC
273
244
940
What is your personal attitude towards members of the following religious group - Buddhists
JEWISH
474
329
839
NONE
555
244
396
95% Confidence Interval for
Mean
BUDDHISM
-250
425
997
BUDOHISM
PROTESTANT
921
357
247
N
Mean
Std. Deviation Std. Error Lower Bound Upper Bound
Minimum
Maximum
CATHOLIC
523
359
833
PROTESTANT
508
3.33
1.088
.048
3.23
3.42
1
5
JEWISH
724
422
708
NONE
805
359
414
ÇATHOLIC
253
3.73
960
.060
3.61
3.85
1
OTHER
250
425
997
JEWISH
19
3.53
1.073
246
3.01
4.04
1
DunnettC PROTESTANT
CATHOLIC
077
NONE
254
3.44
859
.054
3.34
3.55
1
JEWISH
198
251
OTHER
NONE
072
116
18
4.00
840
198
3.58
4.42
3
5
OTHER
671
204
BUDDHISM
4.25
707
250
3.66
4.84
3
5
BUDDHISM
-921
255
Total
1060
3.47
1.016
031
3.41
3.53
1
5
CATHOLIC
PROTESTANT
077
JEWISH
201
254
Post Hoc Tests
Test of Homogeneity of Variances
Multiple Comparisons
Levene
Statistic
df1
df2
Sig
Dependent Variable What is your personal attnude towards members of the following religious group - Buddhists
Mean
Diference 0
J)
What is your personal
attitude towards
members of the following
religious group -
Buddhists
Based on Mean
2.897
1054
.013
) R's religious
preference
CATHOLIC
OR's religious
Based on Median
2.838
1054
.015
preference
Std. Error
Sig
Schefe
PROTESTANT
-399
077
000
Based on Median and
2.838
1015.188
015
JEWISH
198
234
982
with adjusted df
NONE
116
077
809
OTHER
-671
240
.167
BUDDHISM
921
357
247
ANOVA
CATHOLIC
PROTESTANT
399
077
000
JEWISH
201
238
982
What is your personal attitude towards members of the following religious group - Buddhists
NONE
282
089
074
Sum of
Squares
OTHER
-273
244
940
df
Mean Square
F
Sig.
BUDDHISM
-523
359
833
JEWISH
PROTESTANT
198
234
982
Between Groups
37.013
5
7.403
7.394
000
CATHOLIC
201
238
982
Within Groups
1.000
1055.247
1054
1.001
NONE
081
238
OTHER
474
329
839
Total
1092.260
1059
BUDDHISM
724
422
708
Robust Tests of Equality of Means
What is your personal attitude towards members of the following religious group - Buddhists
Statistic
dr2
Sig.
Welch
a. Asymptoticaly F distributed.
8.163
45.993
.000
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