### Abstract

Exact inference based on type II censored Weibull samples depends on the availability of tabled values of percentage points of certain pivotal functions which must be found by Monte Carlo simulation. Applications have been limited by the comparatively small number of cases for which percentage points have been tabulated. The thesis of this paper is that computer hardware and software have now developed to the point where it is practical with the aid of a comparatively simple simulation program and a readily available spreadsheet or statistical package, for a user to determine the exact values needed in a number of inferential settings. It is shown how inferences on any Weibull percentile may be obtained once a single set of simulation results is found for any arbitrary percentile and the shape parameter. The same approach is shown to hold for inference about series systems of identical Weibull components and for computing the OC curve of a hypothesis test on a Weibull percentile. Finally, an example is given of the use of a spreadsheet to operate on the results of repeated sets of simulation runs to develop the values needed to conduct a multiple comparison analysis of a set of 13 Weibull distributed fracture data samples.

Original language | English (US) |
---|---|

Pages (from-to) | 26-32 |

Number of pages | 7 |

Journal | International Journal of Industrial Engineering : Theory Applications and Practice |

Volume | 7 |

Issue number | 1 |

State | Published - 2000 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Industrial and Manufacturing Engineering

### Cite this

*International Journal of Industrial Engineering : Theory Applications and Practice*,

*7*(1), 26-32.

}

*International Journal of Industrial Engineering : Theory Applications and Practice*, vol. 7, no. 1, pp. 26-32.

**Exact AD HOC inference from Weibull samples.** / McCool, John I.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Exact AD HOC inference from Weibull samples

AU - McCool, John I.

PY - 2000

Y1 - 2000

N2 - Exact inference based on type II censored Weibull samples depends on the availability of tabled values of percentage points of certain pivotal functions which must be found by Monte Carlo simulation. Applications have been limited by the comparatively small number of cases for which percentage points have been tabulated. The thesis of this paper is that computer hardware and software have now developed to the point where it is practical with the aid of a comparatively simple simulation program and a readily available spreadsheet or statistical package, for a user to determine the exact values needed in a number of inferential settings. It is shown how inferences on any Weibull percentile may be obtained once a single set of simulation results is found for any arbitrary percentile and the shape parameter. The same approach is shown to hold for inference about series systems of identical Weibull components and for computing the OC curve of a hypothesis test on a Weibull percentile. Finally, an example is given of the use of a spreadsheet to operate on the results of repeated sets of simulation runs to develop the values needed to conduct a multiple comparison analysis of a set of 13 Weibull distributed fracture data samples.

AB - Exact inference based on type II censored Weibull samples depends on the availability of tabled values of percentage points of certain pivotal functions which must be found by Monte Carlo simulation. Applications have been limited by the comparatively small number of cases for which percentage points have been tabulated. The thesis of this paper is that computer hardware and software have now developed to the point where it is practical with the aid of a comparatively simple simulation program and a readily available spreadsheet or statistical package, for a user to determine the exact values needed in a number of inferential settings. It is shown how inferences on any Weibull percentile may be obtained once a single set of simulation results is found for any arbitrary percentile and the shape parameter. The same approach is shown to hold for inference about series systems of identical Weibull components and for computing the OC curve of a hypothesis test on a Weibull percentile. Finally, an example is given of the use of a spreadsheet to operate on the results of repeated sets of simulation runs to develop the values needed to conduct a multiple comparison analysis of a set of 13 Weibull distributed fracture data samples.

UR - http://www.scopus.com/inward/record.url?scp=0033719439&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033719439&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0033719439

VL - 7

SP - 26

EP - 32

JO - International Journal of Industrial Engineering : Theory Applications and Practice

JF - International Journal of Industrial Engineering : Theory Applications and Practice

SN - 1072-4761

IS - 1

ER -