Algorithm AS 65: Interpreting Structure Formulae

Rogers, C. E.

doi:10.2307/2346799

Cited by 10 publications

(6 citation statements)

References 4 publications

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“…For clarity, in this section we refer to the three plots that constitute a triplet as the 'left', 'centre' and 'right' plots, the centre plot being the one under consideration at that time. We have chosen to use as treatment structure (in the notation of Rogers, 1973), T + T.L + T.R. where T represents the treatment applied to the centre plot, and L and R the treatments applied to the left and right plots, respectively.…”

Section: Interactions Bet Ween Plots and Esfects Of Neighboursmentioning

confidence: 99%

An investigation into inter‐plot interactions, in experiments with mildew on barley, using balanced designs

Jenkyn

Bainbridge

Dyke

et al. 1979

Annals of Applied Biology

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SUMMARY Serial designs, balanced for effects of neighbours, were used in 1975–1977 to investigate interactions between plots of spring barley given different treatments for the control of powdery mildew (Erysiphe graminis DC. f. sp. hordei Mérat). Differences in amounts of disease, between similarly treated plots, could be related largely to the treatments applied to the neighbouring plots and to wind directions. Amounts of disease in plots were usually increased if the upwind neighbour was untreated but untreated plots themselves were also affected by neighbours, having least disease where the upwind neighbour was sprayed early. Differences in mildew due to treatment were reflected in grain yield. Yields also provided evidence of interactions between plots. Interference, as well as altering the average response to treatments, can also contribute to variability in experiment results and lead to substantial losses in efficiency. The yields in 1975 and 1976 provided strong evidence of profiles of fertility. In the analyses, adjustment by covariates, employed to allow for these profiles, gave substantial net gains in accuracy.

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Section: Interactions Bet Ween Plots and Esfects Of Neighboursmentioning

confidence: 99%

An investigation into inter‐plot interactions, in experiments with mildew on barley, using balanced designs

Jenkyn

Bainbridge

Dyke

et al. 1979

Annals of Applied Biology

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“…Two auxiliary algorithms must be supplied: A Fortran version of ICNT is given by Rogers (1973), and a Fortran version of lAND can be produced from function lOR of Rogers (1973) by changing .OR. to .AND.…”

Section: Auxiliary Algorithmsmentioning

confidence: 99%

“…

LanguageFortran 77

Description and PurposeBit patterns provide an economical way of representing subsets of a complete set of items, such as the tests of an irredundant set (Payne, 1991), or the factors in one of the terms of a factorial statistical model (e.g. Rogers (1973) and Payne (1990». This algorithm prints the contents of a list of bit patterns, sorting them firstly according to the number of bits set in each pattern, and then, within each number of bits, according to lexicographic order.

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mentioning

confidence: 99%

Algorithm AS 264: Printing of Bit Patterns

Payne¹

1991

Applied Statistics

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LanguageFortran 77 Description and PurposeBit patterns provide an economical way of representing subsets of a complete set of items, such as the tests of an irredundant set (Payne, 1991), or the factors in one of the terms of a factorial statistical model (e.g. Rogers (1973) and Payne (1990». This algorithm prints the contents of a list of bit patterns, sorting them firstly according to the number of bits set in each pattern, and then, within each number of bits, according to lexicographic order. Thus a factorial formula containing all main effects and interactions of factors 1-3 would be printed as

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“…error) terms 8 i , Wij, Eijk (in the first bracket) representing block residuals, whole-plot residuals and sub-plot residuals respectively, while the treatment terms (Xj' Pk and Yjk (in the second bracket) represent the main effects of factors A and B, and their interaction. The model is specified as described by Wilkinson and Rogers (1973) and interpreted by an extended version of algorithms AS 65, Rogers (1973), with block terms specified separately from the treatment terms. The grand mean, p., which is part of both block and treatment formulae, is included in the model automatically.…”

Section: Description Of the Algorithmmentioning

confidence: 99%