Question
In the following data, two values are missing. Estimate these values by Yates method and analyse the data by suitable technique.
| Treatments | Blocks | ||
|---|---|---|---|
| I | II | III | |
| A | 12 | 14 | 12 |
| B | 10 | y | 8 |
| C | x | 15 | 10 |
Answer :
Word Count : 597
The data form a randomized block design with three treatments and three blocks, with two missing observations: one for treatment B in block II (y) and one for treatment C in block I (x). By Yates’ method, each missing value is estimated by equating it to the value that would make the treatment and block totals consistent with the additive model. Let the missing values be x (C, I) and y (B, II). First write the treatment totals and block totals in terms of x and y. Treatment totals: A = 12 + 14 + 12 = 38 B = 10 + y + 8 = 18 + y C = x + 15 + 10 = 25 + x Block totals: Block I = 12 + 10 + x = 22 + x Block II = 14 + y + 15 = 29 + y Block III = ___ ______ ______ _______ __________ _______ __________ _________ ___ _________.
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The data form a randomized block design with three treatments and three blocks, with two missing observations: one for treatment B in block II (y) and one for treatment C in block I (x). By Yates’ method, each missing value is estimated by equating it to the value that would make the treatment and block totals consistent with the additive model. Let the missing values be x (C, I) and y (B, II). First write the treatment totals and block totals in terms of x and y. Treatment totals: A = 12 + 14 + 12 = 38 B = 10 + y + 8 = 18 + y C = x + 15 + 10 = 25 + x Block totals: Block I = 12 + 10 + x = 22 + x Block II = 14 + y + 15 = 29 + y Block III = ___ ______ ______ _______ __________ _______ __________ _________ ___ _________.
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