A between-group factorial ANOVA compares the mean values of more than two groups and more than two factors. The Pearson product-moment 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 PSY-845 folder on the DC Network at https://dc.gcu.edu/documents/tools/researchtools/statistical-research-folder/psy870multivariatestatistics/psy8453adoctoralstatistics helpful information.
Directions:
Review the SPSS output file which reports the results of the between-group (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 F-value 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 F-value 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 F-value 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 product-moment 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 r-value for the correlation between these two variables?
- Is that r-value statistically significant? What is the 2-tailed significance?
- Write the results in the following format: r(df value) = ____, p = _____
PSY845.R.SPSS Data Set Legend.docx Drinks.sav PSY845.R.Output for Mod 7 Pearson Correlation exercises.docx PSY845.R.Output for Mod 7 Factorial ANOVA exercises.docx
PSY-845 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 product’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 6-pack 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 |
07-JUN-2013 13:24:52 |
|
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 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:UsersdonnDocumentsGCU Lead facProject with Judy for modifying PSY845 to introduce SPSSdrinks 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. (2-tailed) |
.000 |
||
N |
35 |
35 |
|
Alcohol by Volume (in %) for brand |
Pearson Correlation |
.839** |
1 |
Sig. (2-tailed) |
.000 |
||
N |
35 |
35 |
**. Correlation is significant at the 0.01 level (2-tailed). |
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 |
07-JUN-2013 13:19:59 |
|
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 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:UsersdonnDocumentsGCU Lead facProject with Judy for modifying PSY845 to introduce SPSSdrinks database -revised for course applications DH.sav
Between-Subjects 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 Between-Subjects 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 Between-Subjects 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) |
Profile Plots