Homework

ONEWAY alcohol BY rating

  /STATISTICS DESCRIPTIVES HOMOGENEITY

  /PLOT MEANS

  /MISSING ANALYSIS

  /POSTHOC=TUKEY ALPHA(0.05).

   

Oneway

  

 

35

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
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

  

 

 N

for Mean

11

Good14

10

35

	Descriptives
Alcohol by Volume (in %) for brand
Mean	Std. Deviation		Std. Error		95% Confidence Interval
	Lower Bound		Upper Bound
Very									Good		4.9000	.17889	.05394	4.7798	5.0202
		4.6000	.38829	.10377	4.3758	4.8242
								Fair		4.5100	.34140	.10796	4.2658	4.7542
		Total	4.6686	.35295	.05966	4.5473	4.7898

 

Descriptives 

 

 

 

 

 

Good

 

Fair

 

Total3.905.50 

			Alcohol by Volume (in %) for brand
Minimum	Maximum
							VeryGood	4.70	5.20
4.00		5.50
	3.90	5.00

  

Alcohol by Volume (in %) for brand 

232

Test of Homogeneity of Variances
Levene Statistic	df1	df2				Sig.
1.420	.256

  

Alcohol by Volume (in %) for brand 

 

df

FSig.

2

32

  

Total

34   

ANOVA
Sum of Squares	Mean Square
Between Groups	.906	.453	4.357	.021
Within Groups	3.329	.104
4.235

   

Post Hoc Tests

  

 

 

 

Std. ErrorSig. 

 

VeryGoodGood

 

Fair

 

GoodVeryGood

.12995.069 

Fair

 

FairVeryGood

.14093.025 

Good

.13354.780 

	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)
.30000		.12995		.069
.39000*		.14093		.025
-.30000
.09000		.13354		.780
-.39000*
-.09000

 

Multiple ComparisonsDependent Variable:   Alcohol by Volume (in %) for brand  Tukey HSD 

(I) Rated Quality of Brand

(J) Rated Quality of Brand95% Confidence Interval

Lower BoundUpper Bound

VeryGoodGood

Fair

GoodVeryGood

.0193

Fair

FairVeryGood

Good

.2382

–	.0193	.6193
.0437*	.7363
-.6193
–	.2382	.4182
-.7363*	-.0437
-.4182

 

*. The mean difference is significant at the 0.05 level.

   

Homogeneous Subsets

  

Alcohol by Volume (in %) for brand

Rated Quality of BrandN

12

Fair104.5100 Good144.60004.6000VeryGood11 4.9000Sig. 

Tukey HSDa,b
Subset for alpha = 0.05
.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 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:

1. Looking at the descriptives (first information), do you see differences in the mean alcohol contents for the three levels of quality? Explain.
2. 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?
3. 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 = ______.
4. 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?

Requirements

 

How do you get the answer and what do you understand about it?