The Comparisons report section, shown in Distribution Profiler, shows profilers for the selected distributions in the Nonparametric Overlay section, and includes the following tabs:
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The first five tabs show profilers for the selected distributions. Curves shown in the first four profilers correspond to both the timetoevent and explanatory variables. The Acceleration Factor profiler tab only corresponds to the acceleration factor (explanatory variable). Distribution Profiler shows the Distribution Profiler for the Weibull, Lognormal, Fréchet, and Loglogistic distributions.
Comparable results appear on the Quantile, Hazard, and Density tabs. The Distribution, Quantile, Hazard, Density, and Acceleration Factor Profilers behave similarly to the Prediction Profiler in other platforms. For example, the vertical lines of Temp and Hours can be dragged to see how each of the distribution values change with temperature and time. For a detailed explanation of the Prediction Profiler, see Profiler in the Profilers book.
You can use the Quantile profiler for extrapolation. Suppose that the data are represented by a Weibull distribution. From viewing the Weibull Acceleration Factor Profiler in Acceleration Factor Profiler for Devalt.jmp, you see that the acceleration factor at 45 degrees Celsius is 17.18683 for a baseline temperature of 10 degrees Celsius. Select the Quantile tab to see the Quantile Profiler for the Weibull distribution. Select and drag the vertical line in the probability plot so that the probability reads 0.5. From viewing Weibull Quantile Profiler for Devalt.jmp, where the Probability is set to 0.5, you find that the quantile for the failure probability of 0.5 at 45 degrees Celsius is 13849.01 hours. So, at 10 degrees Celsius, you can expect that 50% of the units fail by 13849.01 * 17.18683 = 238021 hours.
Weibull Quantile Profiler for Devalt.jmp
Selecting the Acceleration Factor tab shows the Acceleration Factor Profiler for the timetoevent variable for each specified distribution. To produce Acceleration Factor Profiler for Devalt.jmp, select Fit All Distributions from the Fit Life by X red triangle menu. Modify the baseline value for the explanatory variable by selecting Set Time Acceleration Baseline from the Fit Life by X red triangle menu and entering the desired value. Note that the explanatory variable and the baseline value appear beside the profiler title.
Acceleration Factor Profiler for Devalt.jmp
The Acceleration Factor Profiler lets you estimate timetofailure for accelerated test conditions when compared with the baseline condition and a parametric distribution assumption. The interpretation of a timeacceleration plot is generally the ratio of the pth quantile of the baseline condition to the pth quantile of the accelerated test condition. This relation applies only when the distribution is Lognormal, Weibull, Loglogistic, or Fréchet, and the scale parameter is constant for all levels. For more information about the parameterizations of the distributions, see Distributions in Life Distribution.
The Comparison Criterion tab shows the 2Loglikelihood, AICc, and BIC criteria for the distributions of interest. Comparison Criterion Report Tab shows these values for the Weibull, Lognormal, Loglogistic, and Fréchet distributions. Distributions providing better fits to the data are shown at the top of the Comparisons report, sorted by AICc.