Bootstrap Confidence Interval for Robust Cpk Index
A Cpk index is the most widely used measure of process capability. A better understanding and interpretation of Cpk is by constructing its confidence interval. The construction of such intervals, are normally based on the assumption that the measurements process can be treated as samples from...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Institute for Mathematical Research
2008
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/12454/1/artikel_5_vol1_no2.pdf |
| _version_ | 1796968238833205248 |
|---|---|
| author | Midi, Habshah Foo, Lee Kien |
| author_facet | Midi, Habshah Foo, Lee Kien |
| author_sort | Midi, Habshah |
| collection | UPM |
| description | A Cpk index is the most widely used measure of
process capability. A better understanding and
interpretation of Cpk is by constructing its
confidence interval. The construction of such
intervals, are normally based on the assumption
that the measurements process can be treated as
samples from a normal distribution.
Nevertheless, many processes are not normal and
have a heavy tail distribution, which probably
due to the presence of outliers in the data. An
alternative approach is to use a bootstrap
confidence interval estimate of Cpk index which
is based on robust method. The advantage of
this estimate is that its usage does not depend on
any distribution. A numerical example is
presented to evaluate the performance of the
bootstrap confidence interval of the robust Cpk
index. The result indicates that the bootstrap
confidence interval estimate based on the robust
Cpk is better than the classical Cpk index. |
| first_indexed | 2024-03-06T07:25:32Z |
| format | Article |
| id | upm.eprints-12454 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:25:32Z |
| publishDate | 2008 |
| publisher | Institute for Mathematical Research |
| record_format | dspace |
| spelling | upm.eprints-124542013-05-27T07:52:21Z http://psasir.upm.edu.my/id/eprint/12454/ Bootstrap Confidence Interval for Robust Cpk Index Midi, Habshah Foo, Lee Kien A Cpk index is the most widely used measure of process capability. A better understanding and interpretation of Cpk is by constructing its confidence interval. The construction of such intervals, are normally based on the assumption that the measurements process can be treated as samples from a normal distribution. Nevertheless, many processes are not normal and have a heavy tail distribution, which probably due to the presence of outliers in the data. An alternative approach is to use a bootstrap confidence interval estimate of Cpk index which is based on robust method. The advantage of this estimate is that its usage does not depend on any distribution. A numerical example is presented to evaluate the performance of the bootstrap confidence interval of the robust Cpk index. The result indicates that the bootstrap confidence interval estimate based on the robust Cpk is better than the classical Cpk index. Institute for Mathematical Research 2008-06 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12454/1/artikel_5_vol1_no2.pdf Midi, Habshah and Foo, Lee Kien (2008) Bootstrap Confidence Interval for Robust Cpk Index. Math Digest : Research Bulletin Institute for Mathematical Research, 1 (2). pp. 26-31. ISSN 1985-2436 English |
| spellingShingle | Midi, Habshah Foo, Lee Kien Bootstrap Confidence Interval for Robust Cpk Index |
| title | Bootstrap Confidence Interval for Robust Cpk Index |
| title_full | Bootstrap Confidence Interval for Robust Cpk Index |
| title_fullStr | Bootstrap Confidence Interval for Robust Cpk Index |
| title_full_unstemmed | Bootstrap Confidence Interval for Robust Cpk Index |
| title_short | Bootstrap Confidence Interval for Robust Cpk Index |
| title_sort | bootstrap confidence interval for robust cpk index |
| url | http://psasir.upm.edu.my/id/eprint/12454/1/artikel_5_vol1_no2.pdf |
| work_keys_str_mv | AT midihabshah bootstrapconfidenceintervalforrobustcpkindex AT fooleekien bootstrapconfidenceintervalforrobustcpkindex |