Second Order Rotatable Designs of Second Type Using Central Composite Designs

Padala, Chiranjeevi; Benhur, K. John; Babu, B. Re. Victor

doi:10.9734/ajpas/2021/v11i130258

Cited by 2 publications

(2 citation statements)

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“…Kim [1] developed second type of rotatable central composite designs (CCD) in which the positions of axial points are indicated by two numbers   12 a , a for 2≤v≤8. Chiranjeevi et al [13] extended the results of Kim [1] and developed SORD of second type using CCD for 9≤v≤17. Chiranjeevi and Victorbabu [14] studied SORD of second type using BIBD.…”

Section: Second Order Rotatable Designs Of Second Type Using Central ...mentioning

confidence: 97%

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Slope Rotatable Central Composite Designs of Second Type

Ravikumar

Victorbabu

2022

AJPAS

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Central composite design (CCD) is the most commonly used fractional factorial design used in the response surface model. Kim [1] proposed second order rotatable designs (SORD) of second type using CCD, in which the positions of axial points are indicated by two numbers\(\left(a_{1}, a_{2}\right)\). Kim and\(K_{0}\) [2] introduced second order slope rotatable designs (SOSRD) of second type using CCD, in which the positions of axial points are indicated by two numbers \(\left(a_{1}, a_{2}\right)\). In this paper, second order slope rotatable central composite designs of second type with\(2 \leq n_{3} \leq 4\) (where \(n_{\text {s }}\) denotes the number of replications of axial points) are suggested for \(2 \leq \mathrm{v} \leq 17\) (v-stands for number of factors). It is observe that the value of level \(\mathrm{a}_{2}\) (taking \(\mathrm{a}_{1}=1\) ) for the axial points in CCD required for slope rotatability for second type is appreciably larger than the value required for SORD of second type using CCD. And also noted that if we replicate axial points \(\left(n_{9}\right)\)in SOSRD of second type using \(\mathrm{CCD}\) then the value of \(\mathrm{a}_{2}\) (taking \(\mathrm{a}_{1}=1\) ) is approximately nearer to\(\mathrm{SORD}\) value \(\mathrm{a}_{2}\) of second type using CCD.

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Section: Second Order Rotatable Designs Of Second Type Using Central ...mentioning

confidence: 97%

“…Jyostna and Victorbabu [12] studied measure of modified rotatability for second degree polynomial using BIBD. Chiranjeevi et al [13] developed SORD of second type using CCD. Chiranjeevi and Victorbabu [14] studied SORD of second type using BIBD.…”

Section: Introductionmentioning

confidence: 99%