MEASURE OF SLOPE ROTATABILITY FOR SECOND ORDER RESPONSE SURFACE DESIGNS UNDER INTRA-CLASS CORRELATED STRUCTURE OF ERRORS USING BALANCED INCOMPLETE BLOCK DESIGNS

2021 ◽  
Vol 67 (2) ◽  
pp. 179-205
Author(s):  
Sulochana Beeraka ◽  
B. Re. Victorbabu
Keyword(s):  
Response Surface ◽  
Second Order ◽  
Block Designs ◽  
Incomplete Block ◽  
Balanced Incomplete Block Designs ◽  
Response Surface Designs ◽  
Balanced Incomplete Block

scholarly journals Evaluating Measure of Modified Rotatability for Second Degree Polynomial Design Using Balanced Incomplete Block Designs

2021 ◽  
pp. 47-59
Author(s):  
P. Jyostna ◽  
B. Re. Victor Babu
Keyword(s):  
Response Surface ◽  
Design Criterion ◽  
Block Designs ◽  
Incomplete Block ◽  
Degree Polynomial ◽  
Balanced Incomplete Block Designs ◽  
Number Of Factors ◽  
Response Surface Designs ◽  
Balanced Incomplete Block ◽  
Second Degree

Box and Hunter (1957) introduced the concept of rotatability. It is an important design criterion for response surface methodology (RSM). In this paper, evaluating measure of modified rotatability for second degree polynomial design using balanced incomplete block designs (3 ≤ V ≤ 11 : v-number of factors) which enables us to assess the degree of modified rotatability for a given response surface designs at different values of rotatability is recommended.

scholarly journals On Second Order Slope Rotatable Designs under Intra-class Correlated Structure of Errors Using a Pair of Dissimilar Incomplete Block Designs

2020 ◽  
pp. 1-12
Author(s):  
Sulochana Beeraka ◽  
Re. Victor Babu Bejjam
Keyword(s):  
Correlation Coefficient ◽  
Second Order ◽  
Block Designs ◽  
Incomplete Block ◽  
Intra Class Correlation ◽  
Error Structure ◽  
Balanced Incomplete Block Designs ◽  
Balanced Incomplete Block ◽  
Block Sizes ◽  
Intra Class Correlation Coefficient

In this paper, a study of second order slope rotatable designs under intra-class correlation error structure using two suitably chosen dissimilar incomplete block designs like balanced incomplete block designs and symmetrical unequal block arrangements with two unequal block sizes are suggested. Further, we study the variance of the estimated slopes for different values of the intra-class correlation coefficient (ρ) and the distance from the centre (d) for v factors are suggested. Some illustrative examples are also suggested.

scholarly journals A Study on Second Order Rotatable Designs under Tri-diagonal Correlated Structure of Errors Using a Pair of Balanced Incomplete Block Designs

2020 ◽  
pp. 61-74
Author(s):  
K. Raghavendra Swamy ◽  
B. Re. Victorbabu
Keyword(s):  
Second Order ◽  
Variance Function ◽  
Block Designs ◽  
Incomplete Block ◽  
Balanced Incomplete Block Designs ◽  
Balanced Incomplete Block

In this paper, a study on second order rotatable designs under tri-diagonal correlated structure of errors using a pair of balanced incomplete block designs is suggested. Further, the variance function of the estimated response for different values of tri-diagonal correlated coefficient and distance from centre  for  ( - factors) are studied.

A Method for Constructing Second-Order Rotatable Designs

1981 ◽  
Vol 30 (3-4) ◽  
pp. 139-144 ◽  
Author(s):  
S. Huda
Keyword(s):  
Second Order ◽  
Block Designs ◽  
Incomplete Block ◽  
Balanced Incomplete Block Designs ◽  
Balanced Incomplete Block

A method for constructing second-order rotatable desians in k dimensions from second-order rotatable designs in k - l dimensions (1 ⩽ l ⩽ k -1) is proposed. The method makes use of balanced incomplete block designs. The method always works and, further, the experiments performed according to the ( k - l)-dimensional design need not be discarded.

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