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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	<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.
Missing Value Handling	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
Resources	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
	N	Mean	Std. Deviation	Std. Error	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
	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.
(I) Rated Quality of Brand	(J) Rated Quality of Brand	Mean Difference (I-J)	Std. Error	Sig.
VeryGood	Good	.30000	.12995	.069
VeryGood	Fair	.39000^*	.14093	.025
Good	VeryGood	-.30000	.12995	.069
Good	Fair	.09000	.13354	.780
Fair	VeryGood	-.39000^*	.14093	.025
Fair	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
Rated Quality of Brand	N	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.

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' 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?