236. Note: The Analysis of Changeover Designs with Complete Balance for First Residual Effects

Berenblut, I. I.

doi:10.2307/2528020

Cited by 22 publications

(11 citation statements)

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“…The form of the statistical analysis employed is represented in Table 1. Direct and first residual effects of grazing treatments on variables were estimated (Berenblut, 1967) and permanent effects approximated by the summation of direct and residual effects (Gill, 1978). Cows were assigned at random to treatment sequences that were fixed by the design.…”

Section: Experimental Design and Analysesmentioning

confidence: 99%

Moderation of ingestive behaviour of beef ca le by grazing‐induced changes in lucerne swards†

Dougherty

Collins

Bradley

et al. 1990

Grass and Forage Science

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Intensive grazing of pastures may cause drastic and rapid changes in swards which have major effects on ingestive behaviour and diet. Twelve adult Angus cows {Bos taurus), mean live weight of 482±19 kg, were allowed to graze on swards of lucerne {Medicago sativa L.) that were not grazed (TO), or had been grazed previously for 1 h (Tl), or 2 h (T2) in a balanced changeover design. Herbage dry matter (DM) masses (>5 cm) were 2611, 1895 and 1441 kg ha"'; leaf fractions were 0-48, 0-29 and 0-14; and herbage DM allowances per animal were 10-6, 7-9 and 6• 0 kg h " ' for TO, Tl and T2, respectively. During a 1 h measured grazing session that followed an overnight fast, cows ingested 2-93, 1-71 and 0-66 kg DM h " ' with herbage DM intakes per bite of 1 -6, 0-9 and 0-4 g for TO, Tl, and T2, respectively. Rates of biting did not respond to sward treatment and averaged 30 bites min" '. Intake of leaf DM was estimated at 98, 70 and 6% of total DM intake for the same treatment sequence. Utilization of herbage allowance was 0-29, 0-23 and 0-12, for TO, Tl and T2, respectively. Metabolizable energy (ME) intake per animal was 30, 17 and 5 MJ h"' and ME intake per bite was 16, 9 and 3 KJ for TO, Tl and T2, respectively. Data show that grazing-induced differences in sward Correspondence: C. T. Dougherty. Department of Agronomy, University of Kentucky, Lexington, KY, 40546-0091, USA. tThe investigation reported in this paper (88-3-222) is in connection with a project of the Kentucky Agricultural Experiment Station and is published with the approval of the Director.characteristics moderate both ingestive behaviour and diet.

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Section: Experimental Design and Analysesmentioning

confidence: 99%

Moderation of ingestive behaviour of beef ca le by grazing‐induced changes in lucerne swards†

Dougherty

Collins

Bradley

et al. 1990

Grass and Forage Science

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“…In the development of designs more compact than those of Berenblut (1964), and which have full efficiency in estimating direct effects of quantitative treatments, some simplifying assumptions concerning the carry-over from one treatment to the next need to be adopted. We investigate the simple model proposed by Finney (1956) and designated by him as Model III.…”

Section: Of Quantitative Treatmentsmentioning

confidence: 99%

“…It was shown (Berenblut, 1964) that the well-known extra period designs due to Lucas, although allowing full information to be extracted concerning contrasts between residual effects, failed to orthogonalize direct and subject effects. We have described a system of designs enabling full information to be obtained on contrasts between direct effects; 2v periods and v2 subjects are required for testing v treatments.…”

Section: Introductionmentioning

confidence: 99%

Changeover Designs Balanced for the Linear Component of First Residual Effects

Berenblut¹

1968

Biometrika

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JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.. Biometrika Trust is collaborating with JSTOR to digitize, preserve and extend access to Biometrika.A method of constructing changeover designs for testing a treatment factor at equally spaced levels is given. The designs are such that the degree of freedom for the linear component of first residual effects and the degree of freedom for the linear direct by linear residual interaction are both orthogonal to the degrees of freedom for linear, quadratic, etc., components of the direct effects.

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“…Berenblut (1964) described a general method for constructing designs of this type. Every subject receives each treatment twice in the course of 2t periods.…”

Section: Introductionmentioning

confidence: 99%

“…Berenblut (1964) described a general method for constructing designs of this type. Example of serial factorial design for t = 3 (Berenblut 1964 ) Subject I II III IV V VI VII VIII IX 1 2 3 1 2 3 1 2 3 2 1 2 3 2 3 1 3 1 2 Period3 2 3 1 2 3 designs is that treatments in odd-numbered periods are obtained by permutation of treatments in period 1 while treatments in even-numbered periods are obtained by permutation of treatments in period 2. Berenblut showed that his designs have the valuable property that direct effects are orthogonal to residual effects.…”

Section: Introductionmentioning

confidence: 99%