Circular First- and Second-Order Balanced Repeated Measurements Designs

Iqbal, Ijaz; Tahir, M. H.; Ghazali, Syed Skahir Ali

doi:10.1080/03610920902941728

Cited by 32 publications

(14 citation statements)

References 30 publications

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“…Method of cyclic shifts is explained here briefly. For detail, see Iqbal and Tahir [1] and Iqbal et al [11].…”

Section: Methods Of Cyclic Shiftsmentioning

confidence: 99%

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2018

BBOAJ

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“…Method of cyclic shifts is explained here briefly. For detail, see Iqbal and Tahir [1] and Iqbal et al [11].…”

Section: Methods Of Cyclic Shiftsmentioning

confidence: 99%

“…Iqbal& Tahir [1] constructed CSBRMD (circular strongly balanced repeated measurements designs) for some classes. Iqbal et al [11] constructed some first-and second-order CBRMD (circular balanced repeated measurements designs). They also constructed some CSBRMDs.…”

Section: Introductionmentioning

confidence: 99%

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2018

BBOAJ

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“…For a more detailed discussion on these designs, see Afsarinejad (1990), Bate and Jones (2008), Iqbal et al (2010), Jones and Kenward (1989), Ratkowsky et al (1993), Shah et al (2005), and Stufken (1996).…”

Section: Introductionmentioning

confidence: 98%

Construction of Cross-Over Designs for Comparing Test Treatments with Control Using Terraces

Aggarwal

Gupta²,

Jha³

2014

Communications in Statistics - Simulation and Computation

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Segregated half-and-half and mutually orthogonal power sequence terraces have been used in this article for the construction of some new families of control balanced crossover designs, which are Schur-optimal. One of the advantages of using terraces is that designs with larger number of treatments can also be constructed with relative ease. Designs up to 17 treatments have been constructed in this article.

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“…3). To find how the method of cyclic shifts is useful in the construction of other experimental designs, the readers may refer to Iqbal (1991), Iqbal andTahir (2008, 2009), Ghazali (2009), Iqbal, Tahir, Akhtar, Ghazali, Shabbir andBukhari (2009) and Iqbal, Tahir and Ghazali (2010).…”

Section: Introductionmentioning

confidence: 99%

Cyclic Polygonal Designs with Block Size 3 and λ = 1 for Joint Distance α = 6 to 16

Tahir

Iqbal

Akhtar

et al. 2010

Journal of Statistical Theory and Practice

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Stufken (1993) first introduced cyclic polygonal designs (CPDs) (in terms of cyclic balanced sampling plans excluding adjacent units (CBSAs)) for joint distance α ≥ 2. Wei (2002) first suggested the use of Langford sequence for the existence and construction of CPDs with block size k = 3 and λ = 1 for arbitrary α. Zhang and Chang (2005b) used Langford and extended Langford sequence, and constructed CPDs (in terms of CBSAs) with block size k = 3 and λ = 1 for joint distance α = 2, 3. Zhang and Chang (2006) also constructed CPDs by using Langford sequence with k = 3 and λ = 1 for joint distance α = 4. Mandal, Parsad and Gupta (2008a) used symmetrically repeated differences and linear programming approach and gave a catalog of CPDs with k = 3, and λ = 1 for joint distance α = 2, 3, 4 and for some v. In this paper, we use the method of cyclic shifts and constructed CPDs with k = 3 and λ = 1 for joint distance α = 6 to 16. A catalog of non-fractional and fractional (or smaller ) CPDs for v ≤ 100 treatments is compiled.

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Circular First- and Second-Order Balanced Repeated Measurements Designs

Cited by 32 publications

References 30 publications

Untitled

Untitled

Construction of Cross-Over Designs for Comparing Test Treatments with Control Using Terraces

Cyclic Polygonal Designs with Block Size 3 and λ = 1 for Joint Distance α = 6 to 16

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