Step-wise group screening designs with errors in observations

Odhiambo, John; Manene, MM

doi:10.1080/03610928708829559

Cited by 4 publications

(5 citation statements)

References 9 publications

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“…be the expected number of runs required to declare exactly factors defective from the initial step group-factor which has been declared defective. Then following Odhiambo and Manene (1987)…”

Section: Expected Number Of Runsmentioning

confidence: 99%

“…We shall consider the same cases of incorrect decisions as were considered by Odhiambo and Manene (1987) i.e. (i) declaring defective factors as non-defective in the initial step (ii) declaring defective factors as non-defective in subsequent steps (iii) declaring non-defective factors as defective in the subsequent steps Let denote the expected number of factors declared defective from the group-factor that is declared defective in the initial step.…”

Section: Calculation Of the Expected Number Of Incorrect Decisionsmentioning

confidence: 99%

“…The group testing procedure first considered by Sterrett (1957) has been extended by Manene (1985), Patel and Manene (1987), Odhiambo and Manene (1987) and Manene (1997) in what they have called step-wise group-screening designs and they have approached the problem from the point of view of designs of experiments. They have considered the cases when all factors are defective with equal prior probabilities.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we shall extend group screening designs considered by Odhiambo and Manene (1987) to the case when factors are defective with unequal prior probabilities.…”

Section: Introductionmentioning

confidence: 99%

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Step-Wise Group Screening Designs with Unequal A-Priori Probabilities and Errors in Observations

Manene

2003

SQU Journal for Science

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The performance of step-wise group screening with unequal a-priori probabilities in terms of the expected number of runs and the expected maximum number of incorrect decisions is considered. A method of obtaining optimal step-wise designs with unequal a-priori probabilities is presented for the case in which the direction of each defective factor is assumed to be known a -priori and observations are subject to error. An appropriate cost function is introduced and the value of the group size which minimizes the expected total cost is obtained.

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Section: Expected Number Of Runsmentioning

confidence: 99%

Section: Calculation Of the Expected Number Of Incorrect Decisionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In this paper, we shall extend group screening designs considered by Odhiambo and Manene (1987) to the case when factors are defective with unequal prior probabilities.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Step-Wise Group Screening Designs with Unequal A-Priori Probabilities and Errors in Observations

Manene

2003

SQU Journal for Science

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“…The notion of step-wise group screening was introduced by Patel and Manene (1987) basing their method on the group testing procedure introduced by Sterret (1957). Odhiambo and Manene (1987) considered step-wise group screening designs with errors in observations. Manene (1997) extended step-wise group screening designs to what is called "two-type step-wise designs".…”

Section: Introductionmentioning

confidence: 99%

The Performance of Step-Wise Group Screening Designs

Manene

Simwa

2005

SQU Journal for Science

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In this paper we evaluate the performance of step-wise group screening designs in which group-factors contain an equal number of factors in the initial step. A usual assumption in group screening designs is that the directions of possible effects are known a-priori. In practice, however, this assumption is unreasonable. We shall examine step-wise group screening designs without errors in observations when this assumption is relaxed. We shall consider cancellations of effects within group-factors. The performance of step-wise group-screening designs shall then be compared with the performance of multistage group screening designs.

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An Overview of Group Factor Screening

Morris

Screening

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Step-wise group screening designs with errors in observations

Cited by 4 publications

References 9 publications

Step-Wise Group Screening Designs with Unequal A-Priori Probabilities and Errors in Observations

Step-Wise Group Screening Designs with Unequal A-Priori Probabilities and Errors in Observations

The Performance of Step-Wise Group Screening Designs

An Overview of Group Factor Screening

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