The article The Effects of a Pneumatic Stool and a OneLegged

The article \"The Effects of a Pneumatic Stool and a One-Legged Stool on Lower Limb Joint Load and Muscular Activity During Sitting and Rising\" (Ergonomics. 1993: 519-535) gives the accompanying data on the effort required of a subject to arise from four different types of stools (Borg scale). Perform an analysis of variance using alpha = .05, and follow this with a multiple comparisons analysis if appropriate.

Solution

Sol)

H0: (a) All the treatments are equal

b) All the blocks are equal

H1: (a) All the treatments are not equal

b) All the blocks are not equal

Level of significance: %

Test Statistic:

We use ANOVA two way

Using Excel

Conclusion:

a) P value for treatments is 0.000000393 and alpha is 0.05

P < alpha hence we reject the null hypothesis

b) P value for Blocks is 0.000106 and alpha is 0.05

P < alpha hence we reject the null hypothesis.

Anova: Two-Factor Without Replication
SUMMARY	Count	Sum	Average	Variance
1	9	77	8.555556	2.777778
2	9	112	12.44444	2.527778
3	9	97	10.77778	3.694444
4	9	83	9.222222	2.944444
1	4	49	12.25	4.25
2	4	49	12.25	2.916667
3	4	43	10.75	10.91667
4	4	37	9.25	2.916667
5	4	34	8.5	3
6	4	41	10.25	0.916667
7	4	43	10.75	3.583333
8	4	33	8.25	3.583333
9	4	40	10	4.666667
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Rows	81.19444	3	27.06481	22.35564	3.93E-07	3.008787
Columns	66.5	8	8.3125	6.866157	0.000106	2.355081
Error	29.05556	24	1.210648
Total	176.75	35