Question

In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained a measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected.

	Light	Heavy
	Nonbrowser	Browser	Browser
	7	6	5
	8	7	7
	9	6	5
	6	5	7
	6	8	4
	7	5	6
	8	7	5
	7	6	7

a. Calculate the value of the test statistic (to 2 decimals, if necessary).

b. Use Fisher's LSD procedure to compare the comfort levels of nonbrowsers and light browsers. Use .

Compute the LSD critical value (to 2 decimals).

Answer 1

Applying one way ANOVA: (use excel: data: data analysis: one way ANOVA: select Array):

Source	SS	df	MS	F	P value
Between	9.33	2	4.67	4.00	0.0337
Within	24.50	21	1.17
Total	33.83	23

a)

test statistic =

4.00

b)

critical value of t with 0.05 level and N-k=21 degree of freedom=				tN-k=	2.080
Fisher's (LSD) for group i and j =(tN-k)*(sp*√(1/ni+1/nj)   =					1.12

Difference	Absolute Value	Conclusion
x1-x2	1.00	not significant difference