A betweengroup factorial ANOVA compares the mean values of more than two groups and more than two factors. The Pearson productmoment correlation coefficient measures the relationship between two variables. In this assignment, you will review the SPSS output for a factorial ANOVA and use it to answer questions about the groups. You will also review the SPSS output to determine if a correlation exists between the variables.
General Requirements:
Use the following information to ensure successful completion of the assignment:
 Download the document "SPSS Data Set Legend" for use with this assignment.
 Download the document "Module 7 ANOVA SPSS Output" for use with this assignment.
 Download the document "Module 7 Pearson SPSS Output" for use with this assignment.
 Access the PSY845 folder on the DC Network at .gcu.edu/documents/tools/researchtools/statisticalresearchfolder/psy870multivariatestatistics/psy8453adoctoralstatistics">https://dc.gcu.edu/documents/tools/researchtools/statisticalresearchfolder/psy870multivariatestatistics/psy8453adoctoralstatistics helpful information.
Directions:
Review the SPSS output file which reports the results of the betweengroup (independent group) factorial ANOVA to see if the mean alcohol by volume (%) differs as a function of rating given by beer expert (IV 1) and/or recommendation made by a beer connoisseur magazine (IV 2). Answer the following questions based on your observations of the SPSS output file:
 Is the mean alcohol by volume level different for the type of rating given by the beer expert (main effect of IV1)? What are Fvalue and the significance level for this test (write result using the following notation: F(df1, df2) = _____, p = _____).
 Is the mean alcohol by volume level different for the type of recommendation given by the beer magazine? What are Fvalue and the significance level for this test (write result using following notation: F(df1, df2) = _____, p = _____).
 Is the mean alcohol by volume level different for different combinations of expert rating and magazine recommendation (interaction term)? What are Fvalue and the significance level for this test (write result using following notation: F(df1, df2) = _____, p = _____).
Review the SPSS output file, which reports the results of computing the Pearson productmoment correlation coefficient to examine the possible relationship between the number of calories in a brand of beer and its alcohol by volume. Answer the following questions based on your observations of the SPSS output file:
 Looking at the correlations table, what is the rvalue for the correlation between these two variables?
 Is that rvalue statistically significant? What is the 2tailed significance?
 Write the results in the following format: r(df value) = ____, p = _____
.gcu.edu/learningPlatform/content/content.html?operation=viewContent&contentId=d44183c80c064a02b59eafeb780243eb" title="PSY845.R.SPSS data set legend.docx">PSY845.R.SPSS Data Set Legend.docx .gcu.edu/learningPlatform/content/content.html?operation=viewContent&contentId=e6c2fd29f2dc4df0abdbb353fd32a7f6" title="Drinks.sav">Drinks.sav .gcu.edu/learningPlatform/content/content.html?operation=viewContent&contentId=e91a83843baf41bcafe08ee33d270564" title="PSY845.R.Output for mod 7 pearson correlation exercises.docx">PSY845.R.Output for Mod 7 Pearson Correlation exercises.docx .gcu.edu/learningPlatform/content/content.html?operation=viewContent&contentId=ef5e3832865249deb0663fe2fedd7534" title="PSY845.R.Output for mod 7 factorial anova exercises.docx">PSY845.R.Output for Mod 7 Factorial ANOVA exercises.docx
PSY845 SPSS Data Set Legend
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:
 Product name (abbreviation of productâ€™s brand name)
 Product ID code
 Rating assigned to the product by a taste expert for each brand
 Codes: Each brand is given a numerical ID, with 1 being the first one to 35 for the last one
 Codes: 1 = Very good
2 = Good
3 = Fair
 Recommended by leading beer connoisseur magazine?
 Codes: 0 = no
1 = yes
 Country of origin for each brand:
 Codes: 1 = USA
2 = Canada
3 = France
4 = Holland
5 = Mexico
6 = Germany
7 = Japan
 Availability in the USA for each brand
 Codes: 1 = National
2 = Regional
 Price per 6pack for each brand (values are in US Dollars)
 Cost per 12 fluid ounces for each brand (values are in US Dollars)
 Calories per 12 fluid ounces
 Sodium per 12 fluid ounces for each brand (values are in milligrams, mg)
 Alcohol by volume for each brand (values are percents, %)
 Price class for each brand
 Codes: 0 = Not classified
1 = Super premium
2 = Premium
3 = Popular
 Regular or reduced calorie for each brand
 Codes: 0 = Regular
1 = Reduced calorie
 Number of US states in which brand was sold in 2008.
 Number of US states in which brand was sold in 2012.
CORRELATIONS
/VARIABLES=calories alcohol
/PRINT=TWOTAIL NOSIG
/STATISTICS DESCRIPTIVES
/MISSING=PAIRWISE.
Correlations
Notes

Output Created

07JUN2013 13:24:52

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

<none>

Weight

<none>

Split File

<none>

N of Rows in Working Data File

35

Missing Value Handling

Definition of Missing

Userdefined missing values are treated as missing.

Cases Used

Statistics for each pair of variables are based on all the cases with valid data for that pair.

Syntax

CORRELATIONS
/VARIABLES=calories alcohol
/PRINT=TWOTAIL NOSIG
/STATISTICS DESCRIPTIVES
/MISSING=PAIRWISE.

Resources

Processor Time

00:00:00.02

Elapsed Time

00:00:00.45

[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
Descriptive Statistics


Mean

Std. Deviation

N

Calories per 12 Fluid Ounces for brand

139.77

24.447

35

Alcohol by Volume (in %) for brand

4.6686

.35295

35

Correlations


Calories per 12 Fluid Ounces for brand

Alcohol by Volume (in %) for brand

Calories per 12 Fluid Ounces for brand

Pearson Correlation

1

.839**

Sig. (2tailed)


.000

N

35

35

Alcohol by Volume (in %) for brand

Pearson Correlation

.839**

1

Sig. (2tailed)

.000


N

35

35

**. Correlation is significant at the 0.01 level (2tailed).

UNIANOVA alcohol BY rating Recommendation
/METHOD=SSTYPE(3)
/INTERCEPT=INCLUDE
/POSTHOC=rating(TUKEY)
/PLOT=PROFILE(rating*Recommendation)
/EMMEANS=TABLES(OVERALL)
/EMMEANS=TABLES(rating)
/PRINT=ETASQ DESCRIPTIVE
/CRITERIA=ALPHA(.05)
/DESIGN=rating Recommendation rating*Recommendation.
Univariate Analysis of Variance
Notes

Output Created

07JUN2013 13:19:59

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

<none>

Weight

<none>

Split File

<none>

N of Rows in Working Data File

35

Missing Value Handling

Definition of Missing

Userdefined missing values are treated as missing.

Cases Used

Statistics are based on all cases with valid data for all variables in the model.

Syntax

UNIANOVA alcohol BY rating Recommendation
/METHOD=SSTYPE(3)
/INTERCEPT=INCLUDE
/POSTHOC=rating(TUKEY)
/PLOT=PROFILE(rating*Recommendation)
/EMMEANS=TABLES(OVERALL)
/EMMEANS=TABLES(rating)
/PRINT=ETASQ DESCRIPTIVE
/CRITERIA=ALPHA(.05)
/DESIGN=rating Recommendation rating*Recommendation.

Resources

Processor Time

00:00:00.36

Elapsed Time

00:00:00.73

[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
BetweenSubjects Factors


Value Label

N

Rated Quality of Brand

1

VeryGood

11

2

Good

14

3

Fair

10

Recommended by leading beer connoseur magazine in 2012 review

0

No

18

1

Yes

17

Descriptive Statistics

Dependent Variable: Alcohol by Volume (in %) for brand

Rated Quality of Brand

Recommended by leading beer connoseur magazine in 2012 review

Mean

Std. Deviation

N

VeryGood

No

4.7000

.00000

4

Yes

5.0143

.10690

7

Total

4.9000

.17889

11

Good

No

4.3625

.24458

8

Yes

4.9167

.31252

6

Total

4.6000

.38829

14

Fair

No

4.3333

.29439

6

Yes

4.7750

.22174

4

Total

4.5100

.34140

10

Total

No

4.4278

.26965

18

Yes

4.9235

.23057

17

Total

4.6686

.35295

35

Tests of BetweenSubjects Effects

Dependent Variable: Alcohol by Volume (in %) for brand

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Corrected Model

2.679a

5

.536

9.983

.000

Intercept

717.142

1

717.142

13361.573

.000

rating

.494

2

.247

4.601

.018

Recommendation

1.559

1

1.559

29.041

.000

rating * Recommendation

.084

2

.042

.785

.466

Error

1.556

29

.054



Total

767.080

35




Corrected Total

4.235

34




Tests of BetweenSubjects Effects

Dependent Variable: Alcohol by Volume (in %) for brand

Source

Partial Eta Squared

Corrected Model

.633a

Intercept

.998

rating

.241

Recommendation

.500

rating * Recommendation

.051

Error


Total


Corrected Total


a. R Squared = .633 (Adjusted R Squared = .569)

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