SPSS Data Interpretation Alcohol Volume A between-group one-way analysis of variance (ANOVA) compares the mean values of more than two groups. In this assignment, you will review the SPSS output for an ANOVA and use it to answer questions about the means of the groups. 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: 1. Looking at the descriptives (first information), do you see differences in the mean alcohol contents for the three levels of quality? Explain. 1. 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? 1. 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 = ______. 1. The pairwise post hoc tests indicate which quality groups' 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? SPSS Data Set Legend (Attachment “A”) Information has been gathered on 35 brands of wheat beer. Qualitative (categorical) information has been given codes. Information that is in numerical form (e.g., $ amount) does not need to be coded. Here are all the types of information gathered on these beers: 1. Product name (abbreviation of product’s brand name) 2. Product ID code a. Codes: Each brand is given a numerical ID, with 1 being the first one to 35 for the last one 3. Rating assigned to the product by a taste expert for each brand a. Codes: 1 = Very good 2 = Good 3 = Fair 4. Recommended by leading beer connoisseur magazine? a. Codes: 0 = no 1 = yes 5. Country of origin for each brand: a. Codes: 1 = USA 2 = Canada 3 = France 4 = Holland 5 = Mexico 6 = Germany 7 = Japan 6. Availability in the USA for each brand a. Codes: 1 = National 2 = Regional 7. Price per 6-pack for each brand (values are in US Dollars) 8. Cost per 12 fluid ounces for each brand (values are in US Dollars) 9. Calories per 12 fluid ounces 10. Sodium per 12 fluid ounces for each brand (values are in milligrams, mg) 11. Alcohol by volume for each brand (values are percents, %) 12. Price class for each brand a. Codes: 0 = Not classified 1 = Super premium 2 = Premium 3 = Popular 13. Regular or reduced calorie for each brand a. Codes: 0 = Regular 1 = Reduced calorie 14. Number of US states in which brand was sold in 2008. 15. Number of US states in which brand was sold in 2012. Data Interpretation (Attachment “B”) ONEWAY alcohol BY r.

1. SPSS Data Interpretation Alcohol Volume
A between-group one-way analysis of variance (ANOVA)
compares the mean values of more than two groups. In this
assignment, you will review the SPSS output for an ANOVA
and use it to answer questions about the means of the groups.
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:
1. Looking at the descriptives (first information), do you see
differences in the mean alcohol contents for the three levels of
quality? Explain.
1. 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?
1. 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 = ______.
1. The pairwise post hoc tests indicate which quality groups'
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?

2. SPSS Data Set Legend (Attachment “A”)
Information has been gathered on 35 brands of wheat beer.
Qualitative (categorical) information has been given codes.
Information that is in numerical form (e.g., $ amount) does not
need to be coded.
Here are all the types of information gathered on these beers:
1. Product name (abbreviation of product’s brand name)
2. Product ID code
a. Codes: Each brand is given a numerical ID, with 1 being the
first one to 35 for the last one
3. Rating assigned to the product by a taste expert for each
brand
a. Codes: 1 = Very good
2 = Good
3 = Fair
4. Recommended by leading beer connoisseur magazine?
a. Codes: 0 = no
1 = yes
5. Country of origin for each brand:
a. Codes: 1 = USA
2 = Canada

3. 3 = France
4 = Holland
5 = Mexico
6 = Germany
7 = Japan
6. Availability in the USA for each brand
a. Codes: 1 = National
2 = Regional
7. Price per 6-pack for each brand (values are in US Dollars)
8. Cost per 12 fluid ounces for each brand (values are in US
Dollars)
9. Calories per 12 fluid ounces
10. Sodium per 12 fluid ounces for each brand (values are in
milligrams, mg)
11. Alcohol by volume for each brand (values are percents, %)
12. Price class for each brand
a. Codes: 0 = Not classified
1 = Super premium
2 = Premium
3 = Popular
13. Regular or reduced calorie for each brand
a. Codes: 0 = Regular
1 = Reduced calorie
14. Number of US states in which brand was sold in 2008.
15. Number of US states in which brand was sold in 2012.
Data Interpretation (Attachment “B”)
ONEWAY alcohol BY rating
/STATISTICS DESCRIPTIVES HOMOGENEITY
/PLOT MEANS
/MISSING ANALYSIS
/POSTHOC=TUKEY ALPHA(0.05).
One-way
Notes

4. 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
<none>
Weight
<none>
Split File
<none>
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

5. /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 -
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

6. 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

7. 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

8. 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

9. .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

10. 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 HSDa,b
Rated Quality of Brand
N
Subset for alpha = 0.05
1
2
Fair
10
4.5100

11. 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.
MEANS PLOT