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Hamada, Michael Scott

Publications and source records attributed to Hamada, Michael Scott.

A case study: Eliminating nuisance within-part variation in assessing a measurement system

In this work, we consider a gauge R & R study in which a part measured in production is randomly placed in the measuring device. In assessing a measurement system, one does not want a possible within-part variation included in the estimated gauge variation and we propose a way to eliminate it. We consider a pellet measurement system and demonstrate the benefits of eliminating within-part variation in its assessment.

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On reading Youden: Learning about the practice of statistics and applied statistical research from a master applied statistician

From reading William John “Jack” Youden’s books and articles, Youden (1900-1971), an analytical chemist, becomes an applied statistician by the time he joins the National Bureau of Standards (NBS) in 1948. Here, this article traces his transition from chemist to applied statistician and what his body of work mostly at NBS (1948-1965) demonstrates about his practice of statistics and the role that applied statistical research plays in it. There is much we can learn from a master applied statistician.

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Alternative Designs and Analyses for Destructive and Non-replicable Gauge R &R Studies

This article presents new designs and their analyses for destructive and non-replicable gauge R & R studies. Less restrictive assumptions about destructive measurements on “similar” parts and non-replicable measurements made over time or space than have been made previously in the literature are proposed; only couples of “nearly identical” parts are proposed for destructive measurements and quadruples involving two operators are proposed for non-replicable measurements that avoid having to estimate a common trend and removing it. In this work, these new designs based on balanced incomplete block designs and their analyses are illustrated with simulated examples that confirm that with them such measurements systems can be assessed.

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Gauge R & R studies for angular measurements

Angular measurements lie on the circumference of a circle and have different characteristics than standard scalar measurements. For applications involving angular data, treating the measured values as scalars can lead to misinterpretation of results if its wrap-around nature is not taken into account. In this article, we propose a variance components wrapped normal model for angular measurements that is analogous to the standard normal model for continuous measurements. This model allows decomposition of contributions to the overall variance to be separated and compared to understand the drivers of the spread of the data. In this work, we analyze gauge R & R study data using Bayesian methods and illustrate the use of this wrapped normal model with simulated and real data. We also performed a small simulation study in considering the design of gauge R & R studies with angular measurements.

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Case study: Accounting for response measurement error in fitting a regression model

This article presents a case study motivated by a plot of data that suggested an emerging trend that the authors were faced with explaining. When the measurement error of the data is accounted for, it turns out there was no real trend. Furthermore, this article shows how to use a Bayesian modeling approach to account for the measurement error.

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A case study: Comparing testers for means and variances in a balanced incomplete block design

In this article, we present a gauge R & R study that is different from the standard setup in several ways. A balanced incomplete block design (BIBD) was used to collect the data because the measurement is destructive. Besides addressing reproducibility, differences in repeatability (i.e., tester variances) were also of interest. Here we use Bayesian methods to analyze the study data to address whether the three tester means and variances are similar. We also consider what happens if the BIBD structure of the data and possibly different tester variances are ignored in analyzing the study data.

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On assurance testing for repairable systems

In this work, we consider assurance testing for repairable systems when supplementary information is available in addition to the data collected in the assurance test. The supplementary information is incorporated using a Bayesian inferential framework. Assurance testing is considered for both a homogeneous Poisson process and a nonhomogenous Poisson process and is illustrated with examples.

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