Question

The attached file shows the yield of 6 different varieties of Alfalfa planted in 4 different fields.

Check to see if there is any significant difference between the yield of these 6 different varieties.

Build an ANOVA model and report the F-value using 3 decimal places.

What is the MSE value? Use 4 decimal places

Perform a Tukey test to determine which variety(ies) is(are) having higher yield than the rerst.

Select all applicable.

a.	1
	b.	2
	c.	3
	d.	4
	e.	5
	f.	6

Yield	Variety	Field
3.22	1	1
3.04	2	1
3.06	3	1
2.64	4	1
3.19	5	1
2.49	6	1
3.31	1	2
2.99	2	2
3.17	3	2
2.75	4	2
3.4	5	2
2.37	6	2
3.26	1	3
3.27	2	3
2.93	3	3
2.59	4	3
3.11	5	3
2.38	6	3
3.25	1	4
3.2	2	4
3.09	3	4
2.62	4	4
3.23	5	4
2.37	6	4

Answer 1

Using Minitab

stat -> basic statistics -> ANOVA one way

F = 56.22
MSE = 0.0087

Variety 1,5,2 and 3 are having high results compared to 4 and 6