Median Rank for Single Censored Data: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
No edit summary
No edit summary
 
(5 intermediate revisions by the same user not shown)
Line 1: Line 1:
{{Banner Weibull Reference Examples}}__NOTOC__
{{Reference Example}}
This example compares the median rank calculations for complete data.
 
==Data Source==
 
Table 6.2 on page 283 in the book “''Reliability Engineering Handbook Vol 1''” by Dr. Kececioglu, Prentice-Hall, 1991.
This example validates the median rank calculations for complete data in Weibull++ standard folios.
===Data===
 
{| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
 
|-
{{Reference_Example_Heading1}}
|- align="center"
Table 6.2 on page 283 in the book ''Reliability Engineering Handbook Vol 1'' by Dr. Kececioglu, Prentice-Hall, 1991.
 
 
{{Reference_Example_Heading2}}
{| {{Table}}
!Num. In Stage
!Num. In Stage
!State F or S
!State F or S
!Time to Failure
!Time to Failure
|- align="center"
|-
|-
|1 ||F |||16
|1 ||F |||16
|- align="center"
|-  
|1 ||F |||34
|1 ||F |||34
|- align="center"
|-  
|1 ||F |||53
|1 ||F |||53
|- align="center"
|-  
|1 ||F |||75
|1 ||F |||75
|- align="center"
|-  
|1 ||F |||93
|1 ||F |||93
|- align="center"
|-  
|1 ||F |||120
|1 ||F |||120
|- align="center"
|-  
|4 ||S |||200
|4 ||S |||200
|}  
|}  
===Results===
 
{| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
 
|-
{{Reference_Example_Heading3}}
|- align="center"
{| {{Table}}
!Num. In Stage
!Num. In Stage
!State F or S
!State F or S
!Time to Failure
!Time to Failure
!Median Rank (%)
!Median Rank (%)
|- align="center"
|-  
|1 ||F |||16 |||6.7
|1 ||F |||16 |||6.7
|- align="center"
|-  
|1 ||F |||34 |||16.23
|1 ||F |||34 |||16.23
|- align="center"
|-  
|1 ||F |||53 |||25.86
|1 ||F |||53 |||25.86
|- align="center"
|-  
|1 ||F |||75 |||35.51
|1 ||F |||75 |||35.51
|- align="center"
|-  
|1 ||F |||93 |||45.17
|1 ||F |||93 |||45.17
|- align="center"
|-  
|1 ||F |||120 |||54.83
|1 ||F |||120 |||54.83
|- align="center"
|-  
|4 ||S |||200
|4 ||S |||200 |||
|}  
|}  
==Results from Weibull++==
 
 
{{Reference_Example_Heading4}}
The coordinates of each point in the following plot shows the failure time and the corresponding median rank.
The coordinates of each point in the following plot shows the failure time and the corresponding median rank.


[[Image:Median_Ranks.png|center|550px|]]
[[Image:Median_Ranks.png|center|550px|]]

Latest revision as of 16:20, 28 September 2015

Weibull Reference Examples Banner.png


New format available! This reference is now available in a new format that offers faster page load, improved display for calculations and images and more targeted search.

As of January 2024, this Reliawiki page will not continue to be updated. Please update all links and bookmarks to the latest references at Weibull examples and Weibull reference examples.



Median Rank for Single Censored Data


This example validates the median rank calculations for complete data in Weibull++ standard folios.


Reference Case

Table 6.2 on page 283 in the book Reliability Engineering Handbook Vol 1 by Dr. Kececioglu, Prentice-Hall, 1991.


Data

Num. In Stage State F or S Time to Failure
1 F 16
1 F 34
1 F 53
1 F 75
1 F 93
1 F 120
4 S 200


Result

Num. In Stage State F or S Time to Failure Median Rank (%)
1 F 16 6.7
1 F 34 16.23
1 F 53 25.86
1 F 75 35.51
1 F 93 45.17
1 F 120 54.83
4 S 200


Results in Weibull++

The coordinates of each point in the following plot shows the failure time and the corresponding median rank.

Median Ranks.png
Retrieved from "https://www.reliawiki.com/index.php?title=Median_Rank_for_Single_Censored_Data&oldid=60815"