ONEWAY alcohol BY rating
/STATISTICS DESCRIPTIVES HOMOGENEITY
/PLOT MEANS
/MISSING ANALYSIS
/POSTHOC=TUKEY ALPHA(0.05).
Oneway
Notes
Output Created
07-JUN-2013 12:39:57
Comments
Input
Data
C:\Users\donn\Documents\GCU Lead fac\Project with Judy for modifying PSY845 to introduce SPSS\drinks database -revised for course applications DH.sav
Active Dataset
DataSet1
File Label
SPSS/PC+
Filter
Weight
Split File
N of Rows in Working Data File
35
Missing Value Handling
Definition of Missing
User-defined missing values are treated as missing.
Cases Used
Statistics for each analysis are based on cases with no missing data for any variable in the analysis.
Syntax
ONEWAY alcohol BY rating
/STATISTICS DESCRIPTIVES HOMOGENEITY
/PLOT MEANS
/MISSING ANALYSIS
/POSTHOC=TUKEY ALPHA(0.05).
Resources
Processor Time
00:00:00.33
Elapsed Time
00:00:00.42
[DataSet1] C:\Users\donn\Documents\GCU Lead fac\Project with Judy for modifying PSY845 to introduce SPSS\drinks database -revised for course applications DH.sav
Descriptives
Alcohol by Volume (in %) for brand
N
Mean
Std. Deviation
Std. Error
95% Confidence Interval for Mean
Lower Bound
Upper Bound
VeryGood
11
4.9000
.17889
.05394
4.7798
5.0202
Good
14
4.6000
.38829
.10377
4.3758
4.8242
Fair
10
4.5100
.34140
.10796
4.2658
4.7542
Total
35
4.6686
.35295
.05966
4.5473
4.7898
Descriptives
Alcohol by Volume (in %) for brand
Minimum
Maximum
VeryGood
4.70
5.20
Good
4.00
5.50
Fair
3.90
5.00
Total
3.90
5.50
Test of Homogeneity of Variances
Alcohol by Volume (in %) for brand
Levene Statistic
df1
df2
Sig.
1.420
2
32
.256
ANOVA
Alcohol by Volume (in %) for brand
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
.906
2
.453
4.357
.021
Within Groups
3.329
32
.104
Total
4.235
34
Post Hoc Tests
Multiple Comparisons
Dependent Variable:
Alcohol by Volume (in %) for brand
Tukey HSD
(I) Rated Quality of Brand
(J) Rated Quality of Brand
Mean Difference (I-J)
Std. Error
Sig.
VeryGood
Good
.30000
.12995
.069
Fair
.39000
*
.14093
.025
Good
VeryGood
-.30000
.12995
.069
Fair
.09000
.13354
.780
Fair
VeryGood
-.39000
*
.14093
.025
Good
-.09000
.13354
.780
Multiple Comparisons
Dependent Variable:
Alcohol by Volume (in %) for brand
Tukey HSD
(I) Rated Quality of Brand
(J) Rated Quality of Brand
95% Confidence Interval
Lower Bound
Upper Bound
VeryGood
Good
-.0193
.6193
Fair
.0437
*
.7363
Good
VeryGood
-.6193
.0193
Fair
-.2382
.4182
Fair
VeryGood
-.7363
*
-.0437
Good
-.4182
.2382
*. The mean difference is significant at the 0.05 level.
Homogeneous Subsets
Alcohol by Volume (in %) for brand
Tukey HSD
a,b
Rated Quality of Brand
N
Subset for alpha = 0.05
1
2
Fair
10
4.5100
Good
14
4.6000
4.6000
VeryGood
11
4.9000
Sig.
.784
.082
Means for groups in homogeneous subsets are displayed.
a. Uses Harmonic Mean Sample Size = 11.436.
b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
Mean.
Measures of Central Tendency: Mean, Median and Mode
ONEWAY alcohol BY ratingSTATISTICS DESCRIPTIVES HOMOGENEITY.docx
1. ONEWAY alcohol BY rating
/STATISTICS DESCRIPTIVES HOMOGENEITY
/PLOT MEANS
/MISSING ANALYSIS
/POSTHOC=TUKEY ALPHA(0.05).
Oneway
Notes
Output Created
07-JUN-2013 12:39:57
Comments
Input
Data
C:UsersdonnDocumentsGCU Lead facProject with Judy for
modifying PSY845 to introduce SPSSdrinks database -revised
for course applications DH.sav
Active Dataset
DataSet1
File Label
SPSS/PC+
Filter
Weight
Split File
2. N of Rows in Working Data File
35
Missing Value Handling
Definition of Missing
User-defined missing values are treated as missing.
Cases Used
Statistics for each analysis are based on cases with no missing
data for any variable in the analysis.
Syntax
ONEWAY alcohol BY rating
/STATISTICS DESCRIPTIVES HOMOGENEITY
/PLOT MEANS
/MISSING ANALYSIS
/POSTHOC=TUKEY ALPHA(0.05).
Resources
Processor Time
00:00:00.33
Elapsed Time
00:00:00.42
[DataSet1] C:UsersdonnDocumentsGCU Lead facProject
with Judy for modifying PSY845 to introduce SPSSdrinks
database -revised for course applications DH.sav
Descriptives
Alcohol by Volume (in %) for brand
N
3. Mean
Std. Deviation
Std. Error
95% Confidence Interval for Mean
Lower Bound
Upper Bound
VeryGood
11
4.9000
.17889
.05394
4.7798
5.0202
Good
14
4.6000
.38829
.10377
4.3758
4.8242
Fair
10
4.5100
.34140
.10796
4.2658
4.7542
Total
35
4.6686
.35295
.05966
4.5473
4.7898
4. Descriptives
Alcohol by Volume (in %) for brand
Minimum
Maximum
VeryGood
4.70
5.20
Good
4.00
5.50
Fair
3.90
5.00
Total
3.90
5.50
5. Test of Homogeneity of Variances
Alcohol by Volume (in %) for brand
Levene Statistic
df1
df2
Sig.
1.420
2
32
.256
ANOVA
Alcohol by Volume (in %) for brand
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
.906
2
.453
4.357
.021
Within Groups
3.329
32
.104
Total
6. 4.235
34
Post Hoc Tests
Multiple Comparisons
Dependent Variable:
Alcohol by Volume (in %) for brand
Tukey HSD
(I) Rated Quality of Brand
(J) Rated Quality of Brand
7. Mean Difference (I-J)
Std. Error
Sig.
VeryGood
Good
.30000
.12995
.069
Fair
.39000
*
.14093
.025
Good
VeryGood
-.30000
.12995
.069
Fair
.09000
.13354
.780
Fair
VeryGood
-.39000
*
.14093
.025
Good
8. -.09000
.13354
.780
Multiple Comparisons
Dependent Variable:
Alcohol by Volume (in %) for brand
Tukey HSD
(I) Rated Quality of Brand
(J) Rated Quality of Brand
95% Confidence Interval
Lower Bound
Upper Bound
VeryGood
Good
-.0193
.6193
Fair
.0437
*
.7363
Good
VeryGood
-.6193
.0193
Fair
-.2382
.4182
Fair
VeryGood
-.7363
*
9. -.0437
Good
-.4182
.2382
*. The mean difference is significant at the 0.05 level.
Homogeneous Subsets
Alcohol by Volume (in %) for brand
Tukey HSD
a,b
Rated Quality of Brand
N
Subset for alpha = 0.05
1
2
Fair
10
4.5100
Good
14
4.6000
4.6000
VeryGood
11
4.9000
Sig.
.784
10. .082
Means for groups in homogeneous subsets are displayed.
a. Uses Harmonic Mean Sample Size = 11.436.
b. The group sizes are unequal. The harmonic mean of the group
sizes is used. Type I error levels are not guaranteed.
Means Plots
Directions:
Review the SPSS output file which reports the results of the
between-group (independent group) one-way ANOVA to see if
the mean alcohol by volume (%) of the beer differs as a
function of quality of the brand as rated by a beer expert (in
2012). Answer the following questions based on your
observations of the SPSS output file:
Looking at the descriptives (first information), do you see
differences in the mean alcohol contents for the three levels of
quality? Explain.
Looking at the Test for Homogeneity of Variances (Levene
Statistic), is it reasonable to proceed with the ANOVA? Is the
assumption met, or violated? How do you know?
Looking at the results of the ANOVA, is there a significant
difference in the mean alcohol content for beers in the three
quality groups? How do you know? Write the results in the
following format:
F(
df value) = ___,
p
value = ______.
The pairwise post hoc tests indicate which quality groups'
11. means are statistically significantly different for the others.
Using the results of the Tukey HSD post hoc test, what two
quality rating groups had significantly different mean alcohol
by volume levels? How do you know?
Requirements
How do you get the answer and what do you understand about
it?