A Small Sample Evaluation of a Bayesian Design Method for Quantal Response Model

In engineering design, according to not considering past experience information; hence, to make structure parameters for achieving high confidence level, much data for traditional reliability-based robust design must be adequately collected, analyzed, and tested. However, in practical engineering, it is very difficult for doing much test, only for getting in the form of finite test samples. Under the conditions, it has much difficult for the traditional reliability-based robust design. In the article, we present a new reliability-based robust design method that solves the form of incomplete information. The method adopts a Bayesian inference technique to estimate reliability, gives definition of Bayesian reliability. In the research, the mechanical parts bayesian reliability-based robust design mathematical model is established and the bayesian reliability-based robust design approach is presented. The numerical results illustrates the method presented is an efficient and practical reliability-based robust design approach.

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Utility of a goodness-of-fit index for the graded response model with small sample sizes : a Monte Carlo investigation.

10.18297/etd/1397 ◽

2012 ◽

Author(s):

Christina Studts

Keyword(s):

Monte Carlo ◽

Goodness Of Fit ◽

Small Sample ◽

Response Model ◽

Graded Response Model ◽

Sample Sizes ◽

Graded Response ◽

Monte Carlo Investigation ◽

Small Sample Sizes ◽

Fit Index

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The best of both worlds: a joint modeling approach for the assessment of change across repeated measurements

International journal of psychological research ◽

10.21500/20112084.862 ◽

2010 ◽

Vol 3 (1) ◽

pp. 176-207 ◽

Cited By ~ 2

Author(s):

Chueh An Hsieh ◽

Alexander Von Eye

Keyword(s):

Item Response ◽

Bayesian Methods ◽

Latent Variable ◽

Joint Modeling ◽

Small Sample ◽

Repeated Measurements ◽

Latent Variable Model ◽

Response Model ◽

Item Response Model ◽

Variable Model

The usefulness of Bayesian methods in estimating complex statistical models is undeniable. From a Bayesian standpoint, this paper aims to demonstrate the capacity of Bayesian methods and propose a comprehensive model combining both a measurement model (e.g., an item response model, IRM) and a structural model (e.g., a latent variable model, LVM). That is, through the incorporation of the probit link and Bayesian estimation, the item response model can be introduced naturally into a latent variable model. The utility of this IRM-LVM comprehensive framework is investigated with a real data example and promising results are obtained, in which the data drawn from part of the British Social Attitudes Panel Survey 1983-1986 reveal the attitude toward abortion of a representative sample of adults aged 18 or older living in Great Britain. The application of IRMs to responses gathered from repeated assessments allows us to take the characteristics of both item responses and measurement error into consideration in the analysis of individual developmental trajectories, and helps resolve some difficult modeling issues commonly encountered in developmental research, such as small sample sizes, multiple discretely scaled items, many repeated assessments, and attrition over time.

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Structural Levels Model of Performance Behavior and Collaborative Design of High Speed Milling Cutter

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.102-104.700 ◽

2010 ◽

Vol 102-104 ◽

pp. 700-704

Author(s):

Bin Jiang ◽

Min Li Zheng ◽

Chang Xing Qi ◽

Jia He

Keyword(s):

Collaborative Design ◽

High Speed ◽

High Efficiency ◽

Design Method ◽

Small Sample ◽

Functional Domain ◽

Milling Cutter ◽

High Speed Milling ◽

Structural Levels ◽

Performance Behavior

High speed milling cutter is a representative cutter for high efficiency cutting, there is the indeterminacy induced by small sample and lacking information in evaluating its performance. By the analysis of cutter characteristics, acquires the data of structure, material and cutting parameter affecting the performance of cutter, and constructs structural levels model of performance behavior in designing cutter. Using the theory of axiomatic design, investigates mapping approach among structural domain, material domain and functional domain, and propounds collaborative design method of multilevel high speed milling cutter. Results of performance analysis and high speed milling experiment show that the model indicates the interaction among structural levels of cutter, and the design method makes the performance of cutter satisfy the requirements of safety, stability and high efficiency cutting.

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