Inference based on conditional speclfication

Han, Chien-Pai; Rao, C. Venkata; Ravichandran, J.

doi:10.1080/03610928808829724

Cited by 62 publications

(15 citation statements)

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“…However, it may be noted form the bibliography paper of Han et al (1988) that the preliminary test-based statistical procedures are applicable to estimation theory, distributions, correlation and regression analysis, reliability analysis and so on. Readers can find the papers on preliminary test-based statistical methods published in most of the leading journals in statistics.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…The readers are suggested to refer the articles cited in the bibliographies published earlier Bancroft and Han (1977) and Han et al (1988). Later on there were few more articles published on the preliminary test approaches and the latest among them are by Srivastava and Dulawat (2002) who obtained an estimator for average life of exponential population in presence of outliers using preliminary test and by Golam Kibria and Saleh (2008) who studied the estimation of the parameters of exponential and Pareto distribution for censored samples using a preliminary test.…”

Section: Classical and Preliminary Test-based Statistical Methodsmentioning

confidence: 99%

“…This was evidenced by a literature survey that was published as the first bibliography on preliminary tests and related areas by Bancroft and Han in 1977. Following the work of Bancroft and Han (1977), an enormous research had taken place in universities across the globe by various authors. In order to popularize the usefulness of preliminary test-based statistical procedures, Han et al (1988) published the second bibliography covering the publications on theory and application of preliminary test procedures that were developed by various authors in the later part of eighties.…”

Section: Introductionmentioning

confidence: 99%

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A review of preliminary test-based statistical methods for the benefit of Six Sigma quality practitioners

Ravichandran

2010

Stat Papers

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Ever since Professor Bancroft developed inference procedures using preliminary tests there has been a lot of research in this area by various authors across the world. This could be evidenced from two papers that widely reviewed the publications on preliminary test-based statistical methods. The use of preliminary tests in solving doubts arising over the model parameters has gained momentum as it has proven to be effective and powerful over to that of classical methods. Unfortunately, there has been a downward trend in research related to preliminary tests as it could be seen from only few recent publications. Obviously, the benefits of preliminary testbased statistical methods did not reach Six Sigma practitioners as the concept of Six Sigma just took off and it was in a premature state. In this paper, efforts have been made to present a review of the publications on the preliminary test-based statistical methods. Though studies on preliminary test-based methods have been done in various areas of statistics such as theory of estimation, hypothesis testing, analysis of variance, regression analysis, reliability, to mention a few, only few important methods are presented here for the benefit of readers, particularly Six Sigma quality practitioners, to understand the concept. In this regard, the define, measure, analyze, improve and control methodology of six sigma is presented with a link of analyze phase to preliminary test-based statistical methods. Examples are also given to illustrate the procedures.

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Section: Summary and Discussionmentioning

confidence: 99%

Section: Classical and Preliminary Test-based Statistical Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A review of preliminary test-based statistical methods for the benefit of Six Sigma quality practitioners

Ravichandran

2010

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“…Hence, it is termed an inference procedure based on conditional specification by Bancroft and Han (1977). Further references may be found in the bibliographies by Bancroft and Han (1977) and Han, Rao and Ravichandran (1988). A closely related subject is conditional estimation following rejection of a preliminary hypothesis.…”

Section: I0smentioning

confidence: 98%

Conditional Interval Estimation of the Ratio of Variance Components following Rejection of a Pre-test

Chiou

Han²

1999

Journal of Statistical Computation and Simulation

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The conditional confidence interval for a ratio of variance components in the random effects model and the random effects nested design following a preliminary test, is investigated. The conditional confidence interval (CCI) may be shorter than the unconditional confidence interval (UCI) in contrast to the findings for the mean of a normal distribution by Meeks and D'Agostino (1983). The conditional coverage probability of the UCI is obtained by computing the coverage probability under the conditional probability density function. It is shown that the conditional coverage pobability of the UCI is not uniformly greater than or less than the nominal level. The UCI is appropriate only when one does not perform any pre-test. However, if a pre-test is performed before the construction of a confidence interval, then the appropriate confidence interval is the CCI because the pre-test affects subsequent inference procedures.

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“…This additional information about parameter in form of null hypothesis Ho : p = p o is used to increase the precision of estimators by performing a preliminary test on the null hypothesis. Two bibliographies which give a detailed history of the topic are provided by BANCROFT/ HAN (1977) and HAN et al (1988). Some review of the research on the preliminary test is provided in JUDGE and BOCK (1978).…”

Section: Introductionmentioning

confidence: 99%

Improved Shrinkage Estimation of Relative Potency

Ahmed

1995

Biometrical J

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This article considers the asymptotic estimation theory for the log relative potency in a symmetric parallel bioassay when uncertain prior information about the true log relative potency is assumed to be a known quantity. Three classes of point estimation, namely, the unrestricted estimator, the shrinkage restricted estimator and shrinkage preliminary test estimator are proposed. Their asymptotic mean squared errors are derived and compared. The relative dominance picture of the estimators is presented. Interestingly, proposed shrinkage preliminary test estimator dominates the unrestricted estimator in a range that is wider than that of the usual preliminary test estimator. Most importantly, the size of the preliminary test is much appropriate than the usual preliminary test estimator.

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Inference based on conditional speclfication

Cited by 62 publications

References 0 publications

A review of preliminary test-based statistical methods for the benefit of Six Sigma quality practitioners

A review of preliminary test-based statistical methods for the benefit of Six Sigma quality practitioners

Conditional Interval Estimation of the Ratio of Variance Components following Rejection of a Pre-test

Improved Shrinkage Estimation of Relative Potency

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