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 Evaluating Measure of Reformed Rotatability for Second Degree Polynomial Using a Pair of Incomplete Block Designs with Two Unequal Block Sizes

2021 ◽  
pp. 59-70
Author(s):  
P. Jyostna ◽  
B. Re Victorbabu
Keyword(s):  
Response Surface ◽  
Block Designs ◽  
Incomplete Block ◽  
Response Surface Design ◽  
Degree Polynomial ◽  
Surface Design ◽  
Block Sizes ◽  
Second Degree

In this paper, a study on evaluating measure of reformed rotatability for second degree polynomial using a pair of incomplete block designs with two unequal block sizes (like symmetrical unequal block arrangements with two unequal block sizes) is suggested which enables us to assess the degree of reformed (modified) rotatability for a given response surface design.

Classification of resolvable balanced incomplete block designs — the unitals on 28 points

2009 ◽  
Vol 59 (2) ◽  
Author(s):  
Petteri Kaski ◽  
Patric Östergård
Keyword(s):  
Block Designs ◽  
Incomplete Block ◽  
Doctoral Thesis ◽  
Parallel Class ◽  
Balanced Incomplete Block Designs ◽  
Balanced Incomplete Block

AbstractApproaches for classifying resolvable balanced incomplete block designs (RBIBDs) are surveyed. The main approaches can roughly be divided into two types: those building up a design parallel class by parallel class and those proceeding point by point. With an algorithm of the latter type — and by refining ideas dating back to 1917 and the doctoral thesis by Pieter Mulder — it is shown that the list of seven known resolutions of 2-(28, 4, 1) designs is complete; these objects are also known as the resolutions of unitals on 28 points.

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