# The table given below are the yields of 4 varieties in a 4 replicate experiment in which one observation is missing. Analyze the data after finding missing value A 12 C 19 B 10 D 10 C 17 B 13 D 7 A ? B 21 D 11 A 6 C 19 D 12 A 7 C 27 B 18

Solution:

Let x be the missing observation.

 Treatment Block I II III IV A 12 x 6 7 B 10 13 21 18 C 19 17 19 27 D 10 7 11 12

Here,

Number of blocks (r) = 4

Number of column (C) = 4

Number of Treatment (k) = 4

Sum of remaining values in the block with missing observation(b) = 13 + 17 + 7 = 37

Sum of remaining values of the treatment and with the missing observation(T) = 12 + 6 + 7 = 25

Grand Total (G) = 209

Now,

$$x = \frac{rB + KT – G}{(r-1)(C-1)}$$

$$= \frac{4 \times 37 + 4 \times 25 – 209}{(4-1)(4-1)}$$

= 4.33

Therefore, the missing observation is 4.33