When you fit a model in the Fatigue Model platform, a model report appears that enables you to evaluate the model fit and make inferences regarding your data using the fitted model. Initially, each model report contains Summary and Residuals tabs, as well as a menu of options to show more output and save values to the data table.
The Summary tab contains a scatterplot of the data with the median curve for the fitted model, as well as the formula and parameter estimates of the fitted model. The options in the Data and Fitted Model red triangle menu for each model fit align with those in the overall Data and Fitted Models red triangle menu. See Data and Fitted Models Report Options.
The Residuals tab contains a residual probability plot, a Cox-Snell residuals plot, and standardized residuals plot.
The red triangle menu for each fitted model report contains the following options:
Show Residual Plots
Shows or hides the Residuals tab in the model report.
Show Multiple Probability Plot
Shows or hides the Multiple Probability Plot tab in the model report. The markers in this plot are nonparametric cumulative distribution function (CDF) estimates. The curves in this plot are fitted parametric estimates from the distribution fit plotted at the selected stress levels. The plot in this tab can be configured using the Configuration option in the Multiple Probability Plot red triangle menu. The configuration options enable you to control the stress levels at which nonparametric estimates and fitted cumulative distribution functions are shown.
Show Covariance and Correlation
Shows or hides the Covariance and Correlation tab in the model report. The covariances and correlations reported in this tab are calculated for the original data scale.
Show Life Profilers
Shows or hides the Life Profilers tab in the model report. The Life Profilers tab contains two profilers that enable you to explore the fitted model. The profilers show probability plotted against time and vice versa. Use the Life Distribution Profiler to estimate the probability of failure at a specified time and stress setting. Use the Life Quantile Profiler to estimate the time at which a specified proportion of units fail, given a specified stress setting. For more information about profilers, see “Profiler” in Profilers.
Note: The confidence intervals shown in the profilers are Wald-based intervals. For likelihood-based confidence intervals, use the Custom Estimation tab.
An additional profiler appears for the following models: Nishijima, Coffin-Manson Zero Elastic Slope, Rectangular Hyperbola, and Box-Cox-N Fatigue-Strength. The Atom of Probability at Infinity Profiler enables you to explore the nonzero failure probability at infinity for models that have a horizontal asymptote. The report for this profiler is closed by default.
Show Strength Profilers
Shows or hides the Strength Profilers tab in the model report. The Strength Profilers tab contains two profilers that enable you to explore the fitted model. The profilers show probability plotted against the strength variable and vice versa. Use the Strength Distribution Profiler to explore the distribution of the strength variable at a specified number of fatigue cycles. Use the Strength Quantile Profiler to explore the quantile of the strength variable at a specified number of fatigue cycles. For more information about profilers, see “Profiler” in Profilers.
Note: The confidence intervals shown in the profilers are Wald-based intervals. For likelihood-based confidence intervals, use the Custom Estimation tab.
Show Custom Estimation
Shows or hides the Custom Estimation tab. This tab contains four reports that enable you to calculate estimates with confidence intervals for either time, strength, or probability of failure. Using the appropriate report, you must specify two input variables. Both Wald-based and likelihood-based confidence intervals are shown. The confidence level for these intervals is determined by the Confidence Level option in the red triangle menu for each report in the Custom Estimation tab.
The buttons below the input boxes for values in each report enable you to add or remove lines of input boxes. After making changes to the input variables in one of the reports, click the
button to update the values in the report table.
Save S-N Curve Formula
Saves a new formula column to the data table. The column contains a formula for the median of the S-N curve for the model.
Save Cox-Snell Residuals
Saves a new column to the data table. The column contains the Cox-Snell residuals for the model.
Save Standardized Residuals
Saves a new column to the data table. The column contains the standardized residuals for the model.
Remove
Removes the fitted model report. This option also removes the model from the Data and Fitted Models scatterplot and the Model Comparisons table.