Refer to Exercise 15.2. The horticulturist is planning a new study involving modifications to several of the methods of irrigation. In the previous study, it was somewhat cumbersome having blueberry growers implement five different methods of irrigation on their farms, and she wants to know if using the 10 farms as levels of a blocking factor was necessary. If not, she plans to use a single irrigation method on each of n farms.
a. Compute the relative efficiency of the farms as a blocking variable.
b. How many farms would she need in a completely randomized design to have the same precision as was achieved in the randomized block design?
In exercise

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Method of Irigation Farm Surfuce Trickle Center Poin Luter Subirrigation Fann Mean 597 248 636 382 591 348 366 649 258 512 321 423 406 400 608 380 391 434 492 468 457 406 466 502 559 469 464.3 423 461 504 580 449 464 550 526 469 550 4976 350 370 460 452 343 340 327 378 419 458 389.6 401.9 456.6 478.9 493.9 430.9 408.7 470.8 500.0 507.3 493.2 464.2 588 689 690 10 Method Mean 616.3 353.2