Template:Example: Weibull Distribution Suspension and Interval Data Example: Difference between revisions

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==Weibull Distribution Example 14==
'''Published 3P Weibull Distribution Probability Plot Example'''


Suppose we want to model a left censored, right censored, interval, and complete data set, consisting of 274 units under test of which 185 units fail. Table 6.8 contains the data.
Suppose we want to model a left censored, right censored, interval, and complete data set, consisting of 274 units under test of which 185 units fail. The following Table contains the data.


Table 6.8 - The test data for Example 13
{| {| border="1" class="wikitable" style="margin: 1em auto 1em auto"
  |+ The Test Data'''
| align="center" style="background:#f0f0f0;"|'''Data Point Index'''
| align="center" style="background:#f0f0f0;"|'''Number in State'''
| align="center" style="background:#f0f0f0;"|'''Last Inspection'''
| align="center" style="background:#f0f0f0;"|'''State (S or F)'''
| align="center" style="background:#f0f0f0;"|'''State End Time'''
|-
| 1||2||5||F||5
|-
| 2||23||5||S||5
|-
| 3||28||0||F||7
|-
| 4||4||10||F||10
|-
| 5||7||15||F||15
|-
| 6||8||20||F||20
|-
| 7||29||20||S||20
|-
| 8||32||0||F||22
|-
| 9||6||25||F||25
|-
| 10||4||27||F||30
|-
| 11||8||30||F||35
|-
| 12||5||30||F||40
|-
| 13||9||27||F||45
|-
| 14||7||25||F||50
|-
| 15||5||20||F||55
|-
| 16||3||15||F||60
|-
| 17||6||10||F||65
|-
| 18||3||5||F||70
|-
| 19||37||100||S||100
|-
| 20||48||0||F||102
|-
|
|}


Data point index
Number in State
Last Inspection
State
(F or S)
State End Time
1
2
5
F
5
2
23
5
S
5
3
28
0
F
7
4
4
10
F
10
5
7
15
F
15
6
8
20
F
20
7
29
20
S
20
8
32
0
F
22
9
6
25
F
25
10
4
27
F
30
11
8
30
F
35
12
5
30
F
40
13
9
27
F
45
14
7
25
F
50
15
5
20
F
55
16
3
15
F
60
17
6
10
F
65
18
3
5
F
70
19
37
100
S
100
20
48
0
F
102
===Solution to Weibull Distribution Example 14===


This data set can be entered into Weibull++ by selecting the Times-to-failure and My data set contains suspensions (right censored data), My data set contains interval and/or left censored data and I want to enter data in groups options.
'''Solution'''
 
This data set can be entered into Weibull++ by selecting the '''Times-to-failure''' and ''' My data set contains suspensions (right censored data), My data set contains interval and/or left censored data''' and '''I want to enter data in groups options'''.




Revision as of 23:10, 29 February 2012

Published 3P Weibull Distribution Probability Plot Example

Suppose we want to model a left censored, right censored, interval, and complete data set, consisting of 274 units under test of which 185 units fail. The following Table contains the data.

The Test Data
Data Point Index Number in State Last Inspection State (S or F) State End Time
1 2 5 F 5
2 23 5 S 5
3 28 0 F 7
4 4 10 F 10
5 7 15 F 15
6 8 20 F 20
7 29 20 S 20
8 32 0 F 22
9 6 25 F 25
10 4 27 F 30
11 8 30 F 35
12 5 30 F 40
13 9 27 F 45
14 7 25 F 50
15 5 20 F 55
16 3 15 F 60
17 6 10 F 65
18 3 5 F 70
19 37 100 S 100
20 48 0 F 102


Solution

This data set can be entered into Weibull++ by selecting the Times-to-failure and My data set contains suspensions (right censored data), My data set contains interval and/or left censored data and I want to enter data in groups options.


Since standard ranking methods for dealing with these different data types are inadequate, we will want to use the ReliaSoft ranking method. This option is the default in Weibull++ when dealing with interval data.

The computed parameters using MLE are:


using RRX:


and using RRY:


The plot with the two-sided 90% confidence bounds for the rank regression on X solution is:

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