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The variance ^2 of an individual observation can be estimated in a number of way

ID: 3059408 • Letter: T

Question

The variance ^2 of an individual observation can be estimated in a number of ways, depending on the situation. How many degrees of freedom are associated with the estimate s^2 (of ^2 ) in each of the following circumstances:

(a) A randomized paired comparison of two treatments A and B, where there are nA = 22 observations with A and nB = 22 observations with B.

(b) A randomized unpaired comparison of two treatments A and B, where there are nA = 21 observations with A andnB = 15 observations with B.

(c) A completely randomized design with five treatments, where nA = 24,nB = 14,nC = 13,nD = 21,nE = 18.

(d) A randomized block design with 5 blocks and 7 treatments.

(e) A Latin square design of order 7.

(f) A Graeco-Latin square design of order 9.

(you dont have to answer all question, just give me an idea how to do this kind question also helps)

Explanation / Answer

The variance ^2 of an individual observation can be estimated in a number of ways, depending on the situation. How many degrees of freedom are associated with the estimate s^2 (of ^2 ) in each of the following circumstances:

(a) A randomized paired comparison of two treatments A and B, where there are nA = 22 observations with A and nB = 22 observations with B.

(b) A randomized unpaired comparison of two treatments A and B, where there are nA = 21 observations with A andnB = 15 observations with B.

(c) A completely randomized design with five treatments, where nA = 24,nB = 14,nC = 13,nD = 21,nE = 18.

(d) A randomized block design with 5 blocks and 7 treatments.

(e) A Latin square design of order 7.

(f) A Graeco-Latin square design of order 9.

(you dont have to answer all question, just give me an idea how to do this kind question also helps)