The Duane plot is used to assess whether or not cumulative failure times can be adequately modeled with a Non-Homogeneous Poisson Process (NHPP) - Power Law model.
If you have internet access, you can see a discussion of the NHPP Power Law model by entering the command:
Duane plots are generally preceeded by one or more of the following plots to check for trends in the repair rates:
If the trend plots do in fact indicate a trend, then the Duane plot should be generated. If the Duane plot shows a linear pattern, then this indicates that the NHPP Power Law model is consistent with the data.
You do not need to specify XLOGON or YLOG ON as Dataplot does this automatically. Dataplot also resets the original values for these switches after the Duane plot is completed.
A line is fit to the plotted data. Various parameters from the fit are saved as internal parameters. Specifically,
DPA1 - slope of the fitted line
DPCC - correlation coefficent of the fitted line
SDDPA0 - standard deviation of the intercept term
SDDPA1 - standard deviation of the slope term
DPRESSD - residual standard deviation of the fitted line
DPRESDF - degrees of freedom of the fitted line
These can be used to assess the linearity of the Duane plot and can also be used to label the Duane plot (see the program example below).
where <y> is a response variable containing failure times;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
DUANE PLOT Y1 SUBSET TAG > 1
READ HAHN.DAT MILES TAG
Y1LABEL CUMULATIVE MEAN TIME BETWEEN FAILURE
X1LABEL FAILURE TIME
CHARACTER X BLANK
LINE BLANK SOLID
DUANE PLOT MILES SUBSET TAG = 1
MOVE 50 7
TEXT SLOPE OF FITTED LINE = ^DPA1
MOVE 50 4
TEXT INTERCEPT OF FITTED LINE = ^DPA0
Date created: 06/05/2001
Last updated: 12/04/2023
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