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Coding of randomized complete block designs

Because of tradition, the model of Equation 15.32 is seldom used for the randomized complete block design. Instead, a somewhat different but essentially equivalent model is used  [Pg.384]

For the example used in Section 15.5, there would be three y s and four x s (or, perhaps, four y s and three t s). If y is associated with the qualitative factor univalent cation , then y would be the average block difference in response between the experiments involving Li and the overall mean y and y, would be the corresponding differences for experiments involving Na and K. Similarly, x g, Xj-, x, and Xgj would be the average treatment differences for experiments involving the divalent cations Mg, Ca, Sr, and Ba. Thus, the full model would be [Pg.385]

certain terms are turned on or turned off to correspond to a particular factor combination ij. Notice that Equation 15.39 has eight parameters Equation 15.32 has only six parameters. It would appear that the two models are not equivalent [Pg.385]

The relationships between the parameters of Equations 15.32 and 15.39 are easily discovered. [Pg.386]

The remaining parameters of Equation 15.36 (y and x ) are calculated from Equations 15.40 and 15.41. Thus, if the model of Equation 15.32 has been used to treat the data from a randomized complete block design, the results may be readily converted to the form of Equation 15.36. [Pg.387]


See other pages where Coding of randomized complete block designs is mentioned: [Pg.384]    [Pg.244]   
See also in sourсe #XX -- [ Pg.244 ]




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