Cyclic DesignsU.S. Department of Commerce, National Bureau of Standards, 1972 - 76 pages |
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Page 4
... bk observations . 7.1 . We first consider the intrablock analysis . The ... bk experimental units into b more or less homogeneous groups called blocks , each ... G2 bk E .. bk - b - t + 1 Footnote : Alternatively the intrablock estimates ...
... bk observations . 7.1 . We first consider the intrablock analysis . The ... bk experimental units into b more or less homogeneous groups called blocks , each ... G2 bk E .. bk - b - t + 1 Footnote : Alternatively the intrablock estimates ...
Page 5
... bk Intrablock Analysis of Variance for Resolvable Designs Degrees of Sum ... bk - b - t + 1 E ... kB .. t ( r - 1 ) ( t - k ) E .. bk - b + t + 1 a , = r ( k - 1 ) / k ... G2 / bk г Expectation of Sum of Squares Blocks b - 1 ( Eliminating ...
... bk Intrablock Analysis of Variance for Resolvable Designs Degrees of Sum ... bk - b - t + 1 E ... kB .. t ( r - 1 ) ( t - k ) E .. bk - b + t + 1 a , = r ( k - 1 ) / k ... G2 / bk г Expectation of Sum of Squares Blocks b - 1 ( Eliminating ...
Page 6
... G2 / bk 1-1 b Blocks within replication b - r ( 1 / k ) Σ B2− ( 1/1 ) Σ R2 groups ( Ignoring Treatments ) j = 1 1-1 Error bk - b - t + 1 E .. ( by subtraction ) E .. bk - b - t - 1 Total bk - 1 - ΣΣΥ – G2 / bk Source of Variation ...
... G2 / bk 1-1 b Blocks within replication b - r ( 1 / k ) Σ B2− ( 1/1 ) Σ R2 groups ( Ignoring Treatments ) j = 1 1-1 Error bk - b - t + 1 E .. ( by subtraction ) E .. bk - b - t - 1 Total bk - 1 - ΣΣΥ – G2 / bk Source of Variation ...
Page 7
... G2 / bk h - l where P is the sum of the observations in the h - th position . The intrablock analysis of variance is given in Table 5 . The combined inter- and intra - block estimates are as before with weights w and w ' estimated from ...
... G2 / bk h - l where P is the sum of the observations in the h - th position . The intrablock analysis of variance is given in Table 5 . The combined inter- and intra - block estimates are as before with weights w and w ' estimated from ...
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Common terms and phrases
19 Initial 24 Initial block a₁ additional for foreign Analysis of Variance associate classes B₁ balanced incomplete block block Initial block block k block size block totals Blocks 14 Bose calibration designs Cameron and J. A. cells Curnow cyclic designs cyclic sets Degrees of Freedom design of experiments designs of block diallel cross elimination of heterogeneity equivalence classes example experimental fractional set Freedom Sum G²/bk Hinkelmann i-th Ignoring Treatments incidence matrix incomplete block designs Initial block 13 Initial block Initial Initial blocks DESIGN integer Intrablock Analysis intrablock estimates isomorphic j-th J. A. John J. A. Speckman J. M. Cameron Kempthorne method of paired normal equations paired comparison designs paired differences partition PBIB designs permutation primitive root reduced modulo reference group resolvable design Source of Variation Sum of Squares Table for Interblock tournament treatment labels Variation Degrees Wolock y₁ Youden type designs αι-βι