Elementary Statistics and Computer Application

Analysis

The analysis is carried out in 3 parts.

• Vertical strip analysis
• Horizontal strip analysis
• Interaction analysis
Suppose that A and B are the vertical and horizontal strips respectively. The following two way tables, viz., A X Rep table, B X Rep table and A X B table are formed. From A X Rep table, SS for Rep, A and Error (a) are computed. From B X Rep table, SS for B and Error (b) are computed. From A X B table, A X B SS is calculated.

When there are r replications, a levels for factor A and b levels for factor B, then the ANOVA table is

Sources of variation	d.f.	SS	MS	F
Replication	(r-1)	RSS	RMS	RMS/EMS (a)
A	(a-1)	ASS	AMS	AMS/EMS (a)
Error (a)	(r-1) (a-1)	ESS (a)	EMS (a)
B	(b-1)	BSS	BMS	BMS/EMS (b)
Error (b)	(r-1) (b-1)	ESS (b)	EMS (b)
AB	(a-1) (b-1)	ABSS	ABMS	ABMS/EMS (c)
Error (c)	(r-1) (a-1) (b-1)	E SS (c)	EMS (c)
Total (rab – 1) TSS


Analysis

Arrange the results as follows

Treatment Combination	Replication				Total
	R1	R2	R3	…
A0B0	a0b0	a0b0	a0b0	…	T00
A0B1	a0b1	a0b1	a0b1	…	T01
A0B2	a0b2	a0b2	a0b2	…	T02
Sub Total	A01	A02	A03	…	T0
A1B0	a1b0	a1b0	a1b0	…	T10
A1B1	a1b1	a1b1	a1b1	…	T11
A1B2	a1b2	a1b2	a1b2	…	T12
Sub Total	A11	A12	A13	…	T1
. . .	. . .	. . .	. . .	. . .	. . .
Total	R1	R2	R3	…	G.T

F