About the Supplemental Text Material - all supplements - download pdf or read online

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4 For the design in Table 1 we may readily verify that a = 6, b = 6, k = 3, r = 3, λ1 = 2, λ2 = 1, n1 = 1, n2 = 4, ⎡0 0 ⎤ { p 1 jk } = ⎢ ⎥ ⎣0 4 ⎦ ⎡0 1⎤ { p 2 jk } = ⎢ ⎥ ⎣1 2⎦ and Table 1. A Partially Balanced incomplete Block Design with Two Associate Classes Block Treatment Combinations 1 1 2 3 2 3 4 5 3 2 5 6 4 1 2 4 5 3 4 6 6 1 5 6 We now show how to determine the pijk . Consider any two treatments that are first associates, say 1 and 2. For treatment 1, the only first associate is 2 and the second associates are 3, 4, 5, and 6.

97 35 Std. Dev. V. 15 ________________________________________________________________________ Supplemental Reference Myers, R. H. and Milton, J. S. (1991), A First Course in the Theory of the Linear Model, PWS-Kent, Boston, MA. Chapter 6. Supplemental Text Material S6-1. Factor Effect Estimates are Least Squares Estimates We have given heuristic or intuitive explanations of how the estimates of the factor effects are obtained in the textbook. Also, it has been pointed out that in the regression model representation of the 2k factorial, the regression coefficients are exactly one-half the effect estimates.

This statistic may be viewed as the increase in replications that is required if a CRD is used as compared to a RCBD if the two designs are to have the same sensitivity. The ratio of degrees of freedom in R is an adjustment to reflect the different number of error degrees of freedom in the two designs. To compute the relative efficiency, we must have estimates of σ 2r and σ b2 . We can use the mean square for error MSE from the RCBD to estimate σ b2 , and it may be shown [see Cochran and Cox (1957), pp.

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About the Supplemental Text Material - all supplements


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