Question

A randomized block design is used in an experiment. There are 4 treatments and 3 blocks. Use the information below to complete the table. Ź(2) - x)?= 50 (<1– )² = 712 Σα, (Xi - x)2 = 98 j=1 i=1 j=1 Degrees of Freedom Sum of Squares Mean Square f P value Source of Variation Treatments Blocks Error Total

Answer 1

We know that in the randomized block design, i is denoted for treatments and j is denoted for factors. Hence, in this case, a=4, b=3. Hence, the table would be like the following:

Source of Variation	Degree of Freedom	Sum of Squares	Mean square	F	P value
Treatments	3	98	32.67	0.3475	0.793
Blocks	2	50	25	0.2659	0.775
Error	6	564	94
Total	11	712

The P value can be found from the F distribution table. The degrees of freedom for the F distribution would be df of the corresponding source and df of the error.