Question

Data from 4.10:

Multiple Comparisons
Dependent Variable:   DyeStrength
Tukey HSD
(I) Color	(J) Color	Mean Difference (I-J)	Std. Error	Sig.	95% Confidence Interval
					Lower Bound	Upper Bound
Blue	Green	35.200*	1.661	.000	31.08	39.32
	Yellow	20.700*	1.661	.000	16.58	24.82
Green	Blue	-35.200*	1.661	.000	-39.32	-31.08
	Yellow	-14.500*	1.661	.000	-18.62	-10.38
Yellow	Blue	-20.700*	1.661	.000	-24.82	-16.58
	Green	14.500*	1.661	.000	10.38	18.62
*. The mean difference is significant at the 0.05 level.

DyeStrength
Tukey HSDa
Color	N	Subset for alpha = 0.05
		1	2	3
Green	10	56.50
Yellow	10		71.00
Blue	10			91.70
Sig.		1.000	1.000	1.000
Means for groups in homogeneous subsets are displayed.
a. Uses Harmonic Mean Sample Size = 10.000.

Problem Set 4.7: Tukey HSD Interpretation

• Criterion: Interpret Tukey HSD results from SPSS output.
• Data: Use your output from Problem Set 4.10.
• Instruction: Identify where significant differences exist at the .05 level between your colors. (Hint, there are a total of 3 things you should be reporting)

Answer 1

Tukey criterion is,

We have to interpret Tukey HSD from above table

in table 4.10

Mean Difference (I-J) gives values of mean difference for 3 colours. and confidance interval is confidance interval for difference between these means.

here multiple comparisons are given

in table 4.10 sig value means p-value for this test.If p-value(Sig) < 0.05 then we conclude result significant at 0.05

	Sig
Blue-Green	0.0 <0.05
Blue-Yellow	0.0 < 0.05
Green-Blue	0.0<0.05
Green-Yellow	0.0< 0.05
Yellow-Blue	0.0 < 0.05
Yellow-Green	0.0 < 0.05

From Tukey HSD test for three colours.All sig values are < 0.05 then we conclude that the result significant at 0.05.

or there are difference in means of all groups at 0.05