Standard Folio Plots: Difference between revisions

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Analyze the data using the 2P-Weibull distribution and the MLE analysis method. The results are shown next.  
Analyze the data using the 2P-Weibull distribution and the MLE analysis method. The results are shown next.  


[[image: Plot Type Data and Results.png|thumb|center|400px]]
[[image: Plot Type Data and Results.png|thumb|center|500px]]




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'''1. Probability Plot'''
'''1. Probability Plot'''


[[image: Plot Type Probability Plot.png|thumb|center|400px]]
[[image: Plot Type Probability Plot.png|thumb|center|500px]]




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The following example shows the two-sided confidence bounds on the reliability.
The following example shows the two-sided confidence bounds on the reliability.
[[image: Plot Type Reliability confidence bound.png|thumb|center|400px]]
[[image: Plot Type Reliability confidence bound.png|thumb|center|500px]]


The points on the probability plot represent the observed probability of failure, while the straight line represents the predicted probability of failure. If the line fits the points well, it indicates that the distribution in use is suitable for the data set.  
The points on the probability plot represent the observed probability of failure, while the straight line represents the predicted probability of failure. If the line fits the points well, it indicates that the distribution in use is suitable for the data set.  
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'''2. Reliability vs. Time Plot''' shows how reliability changes with time. Similar to the probability plot, it has both the predicted and the observed reliability values on the plot.  
'''2. Reliability vs. Time Plot''' shows how reliability changes with time. Similar to the probability plot, it has both the predicted and the observed reliability values on the plot.  


[[image: Plot Type Reliability plot.png|thumb|center|400px]]
[[image: Plot Type Reliability plot.png|thumb|center|500px]]




'''3. Unreliability vs. Time Plot''' shows how unreliability (probability of failure) changes with time. Similar to the probability plot, it has both the predicted and the observed values on the plot.  
'''3. Unreliability vs. Time Plot''' shows how unreliability (probability of failure) changes with time. Similar to the probability plot, it has both the predicted and the observed values on the plot.  


[[image: Plot Type UnReliability plot.png|thumb|center|400px]]
[[image: Plot Type UnReliability plot.png|thumb|center|500px]]




'''4. PDF Plot''' (probability density function plot) shows how the failure data are distributed at different time ranges, if the failure data indeed follows the distribution in use. The range around the peak of the pdf curve is where most of the failures occur.  
'''4. PDF Plot''' (probability density function plot) shows how the failure data are distributed at different time ranges, if the failure data indeed follows the distribution in use. The range around the peak of the pdf curve is where most of the failures occur.  


[[image: Plot Type pdf plot.png.png|thumb|center|400px]]
[[image: Plot Type pdf plot.png.png|thumb|center|500px]]




'''5. Failure Rate vs. Time Plot''' shows how the failure rate (the frequency of having failures) changes with time. For this example, we can see it has an increasing failure rate.  
'''5. Failure Rate vs. Time Plot''' shows how the failure rate (the frequency of having failures) changes with time. For this example, we can see it has an increasing failure rate.  


[[image: Plot Type failure rate plot.png|thumb|center|400px]]
[[image: Plot Type failure rate plot.png|thumb|center|500px]]




'''6. Contour Plot''' shows the jointed range of the estimated distribution parameters. With higher confidence level, the range will be larger.  
'''6. Contour Plot''' shows the jointed range of the estimated distribution parameters. With higher confidence level, the range will be larger.  


[[image: Plot Type Contour plot.png|thumb|center|400px]]
[[image: Plot Type Contour plot.png|thumb|center|500px]]




'''7. Histogram''' shows the number of failures/suspensions at a given time interval. Users can set the time interval at the control panel. The Y value is the number of observations, while the X value is the time range of when the observations occurred.
'''7. Histogram''' shows the number of failures/suspensions at a given time interval. Users can set the time interval at the control panel. The Y value is the number of observations, while the X value is the time range of when the observations occurred.


[[image: Plot Type histogram plot.png|thumb|center|400px]]
[[image: Plot Type histogram plot.png|thumb|center|500px]]




'''8. F/S Pie Chart''' visually displays the percentage of failures and suspensions in the data set.  
'''8. F/S Pie Chart''' visually displays the percentage of failures and suspensions in the data set.  


[[image: Plot Type Pie plot.png|thumb|center|400px]]
[[image: Plot Type Pie plot.png|thumb|center|500px]]




'''9. F/S Timeline''' graphically displays the values for each failure and suspension. In the following example, there are 6 failures between 60 and 120 hours.
'''9. F/S Timeline''' graphically displays the values for each failure and suspension. In the following example, there are 6 failures between 60 and 120 hours.


[[image: Plot Type Time line plot.png|thumb|center|400px]]
[[image: Plot Type Time line plot.png|thumb|center|500px]]

Revision as of 07:43, 3 August 2012

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Weibull++ provides many useful plots. We will use this example to illustrate them. Assume we have the following failure data.

Number in State State F or S State End Time
2 F 20
3 F 45
4 F 89
2 F 100
5 F 123
15 S 150
20 S 200


Analyze the data using the 2P-Weibull distribution and the MLE analysis method. The results are shown next.

Plot Type Data and Results.png


Click the Plot icon on the control panel. This displays the first plot probability plot.


1. Probability Plot

Plot Type Probability Plot.png


You can choose to display the confidence bounds on time, reliability, or both. To do this, click the Confidence Bounds… link on the control panel. The following picture shows the Confidence Bounds Setup window.

Plot Type confidence bound Set up.png

The following example shows the two-sided confidence bounds on the reliability.

Plot Type Reliability confidence bound.png

The points on the probability plot represent the observed probability of failure, while the straight line represents the predicted probability of failure. If the line fits the points well, it indicates that the distribution in use is suitable for the data set.

To view all the available plots for the Weibull++ standard folio, click the Plot Type drop down list on the control panel, as shown next.

Plot Type plot type list.png


All the available plot types are explained next.


2. Reliability vs. Time Plot shows how reliability changes with time. Similar to the probability plot, it has both the predicted and the observed reliability values on the plot.

Plot Type Reliability plot.png


3. Unreliability vs. Time Plot shows how unreliability (probability of failure) changes with time. Similar to the probability plot, it has both the predicted and the observed values on the plot.

Plot Type UnReliability plot.png


4. PDF Plot (probability density function plot) shows how the failure data are distributed at different time ranges, if the failure data indeed follows the distribution in use. The range around the peak of the pdf curve is where most of the failures occur.

Plot Type pdf plot.png.png


5. Failure Rate vs. Time Plot shows how the failure rate (the frequency of having failures) changes with time. For this example, we can see it has an increasing failure rate.

Plot Type failure rate plot.png


6. Contour Plot shows the jointed range of the estimated distribution parameters. With higher confidence level, the range will be larger.

Plot Type Contour plot.png


7. Histogram shows the number of failures/suspensions at a given time interval. Users can set the time interval at the control panel. The Y value is the number of observations, while the X value is the time range of when the observations occurred.

Plot Type histogram plot.png


8. F/S Pie Chart visually displays the percentage of failures and suspensions in the data set.

Plot Type Pie plot.png


9. F/S Timeline graphically displays the values for each failure and suspension. In the following example, there are 6 failures between 60 and 120 hours.

Plot Type Time line plot.png