22-Factorial Experiment Analysis

 

2²-Factorial Experiment Analysis

1. An experiment was planned to study the effect of sulphate of potash and super phosphate on the yield of potatoes. All the combinations of 2 levels of super phosphate (0% and 5 % per acre) and two levels of sulphate of potash and (0% and 5 % per acre) were studied in randomized block design with 4 replications of each. The yields are obtained and given. Analyse the data and give your conclusions.

Block	Yields (lbs per plot)
I	(1) 23	k 25	p 22	kp 38
II	p 40	(1) 26	k 36	kp 38
III	(1) 29	k 20	pk 30	p 20
IV	kp 34	k 31	p 24	(1) 28

2. Below are given the plan and yields of 2² factorial experiment involving 2 factors N and S each at two levels 0 and 1. Analyse the design. Does the treatment effect N differ from the treatment S significantly.

Block-1
(1) 117	s 106	ns 125	n 124
Block-2
ns 124	(1) 120	s 117	n 124
Block-3
(1) 111	n 127	s 114	ns 126
Block-4
ns 125	n 131	s 112	(1) 108
Block-5
ns 95	s 97	(1) 73	n 138
Block-6
n 158	(1) 81	ns 125	s 117