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JMP 11 Reliability and Survival Methods

Book Description

JMP 11 Reliability and Survival Methods provides details about evaluating and improving reliability in a product or system and analyzing survival data for people and products. The book explains how to fit the best distribution to your time-to-event data or analyze destruction data. A few other topics include analyzing competing causes of failure, modeling reliability as improvements are made over time, and analyzing recurring events.

Table of Contents

  1. Contents
  2. Learn about JMP
    1. Documentation and Additional Resources
    2. Book Conventions
    3. JMP Documentation
      1. JMP Documentation Suite
      2. JMP Help
      3. JMP Books by Users
      4. JMPer Cable
    4. Additional Resources for Learning JMP
      1. Tutorials
      2. The JMP Starter Window
      3. Sample Data Tables
      4. Learn about Statistical and JSL Terms
      5. Learn JMP Tips and Tricks
      6. Tooltips
      7. Access Resources on the Web
  3. Introduction to Reliability and Survival
    1. Lifetime and Failure Analysis
  4. Life Distribution
    1. Fit Distributions to Lifetime Data
    2. Life Distribution Platform Overview
    3. Example of the Life Distribution Platform
    4. Launch the Life Distribution Platform
    5. The Life Distribution Report
      1. Event Plot
        1. Right-Censored Values
        2. Left-Censored Values
        3. Interval-Censored Values
      2. Compare Distributions Report
      3. Statistics Report
        1. Model Comparisons
        2. Summary of Data
        3. Nonparametric Estimate
        4. Parametric Estimate
      4. Competing Cause Report
        1. Cause Combination Report
        2. Statistics Report for Competing Causes
        3. Individual Causes Report
    6. Life Distribution Platform Options
    7. Additional Examples of the Life Distribution Platform
      1. Omit Competing Causes
      2. Change the Scale
    8. Statistical Details
      1. Nonparametric Fit
      2. Parametric Distributions
        1. Lognormal
        2. Weibull
        3. Loglogistic
        4. Fréchet
        5. Normal
        6. Smallest Extreme Value (SEV)
        7. Logistic
        8. Largest Extreme Value (LEV)
        9. Exponential
        10. Log Generalized Gamma (LogGenGamma)
        11. Extended Generalized Gamma (GenGamma)
        12. Distributions with Threshold Parameters
        13. TH Weibull
        14. TH Lognormal
        15. TH Fréchet
        16. TH Loglogistic
        17. Distributions for Defective Subpopulations
        18. Zero-Inflated Distributions
  5. Fit Life by X
    1. Fit Single-Factor Models to Time-to Event Data
    2. Fit Life by X Platform Overview
    3. Example of the Fit Life by X Platform
    4. Launch the Fit Life by X Platform
    5. The Fit Life by X Report
      1. Summary of Data
      2. Scatterplot
        1. Scatterplot Options
      3. Nonparametric Overlay
        1. Wilcoxon Group Homogeneity Test
      4. Comparisons
        1. Profilers
      5. Results
        1. Statistics
        2. Nested Model Tests
        3. Diagnostics
        4. Profilers and Surface Plots
      6. Custom Relationship
    6. Fit Life by X Platform Options
    7. Additional Examples of the Fit Life by X Platform
      1. Capacitor Example
      2. Custom Relationship Example
  6. Recurrence Analysis
    1. Model the Frequency of Cost of Recurrent Events over Time
    2. Recurrence Analysis Overview
    3. Example of the Recurrence Analysis Platform
    4. Launch the Recurrence Analysis Platform
    5. Recurrence Analysis Platform Options
      1. Fit Model
    6. Additional Examples of the Recurrence Analysis Platform
      1. Bladder Cancer Recurrences Example
      2. Diesel Ship Engines Example
  7. Degradation
    1. Model Product Deterioration over Time
    2. Degradation Platform Overview
    3. Example of the Degradation Platform
    4. Launch the Degradation Platform
    5. The Degradation Report
    6. Model Specification
      1. Simple Linear Path
        1. Custom Transformations
      2. Nonlinear Path
        1. Reaction Rate Models
        2. Constant Rate Models
        3. Prediction Columns
        4. Model Specification Details
        5. Entering a Model with the Formula Editor
        6. Fit a Custom Model
        7. Create a Model Column
        8. Model Library
        9. Customize the Nonlinear Model Library
    7. Inverse Prediction
    8. Prediction Graph
    9. Degradation Platform Options
    10. Model Reports
      1. Model Lists
      2. Reports
    11. Destructive Degradation
    12. Stability Analysis
      1. Example
  8. Reliability Forecast
    1. Forecast Product Failure Using Production and Failure Data
    2. Reliability Forecast Platform Overview
    3. Example Using the Reliability Forecast Platform
    4. Launch the Reliability Forecast Platform
      1. Nevada Format
      2. Dates Format
      3. Time to Event Format
    5. The Reliability Forecast Report
      1. Observed Data Report
      2. Life Distribution Report
      3. Forecast Report
        1. Forecast Graph Options
        2. Forecast Report Options
    6. Reliability Forecast Platform Options
  9. Reliability Growth
    1. Model System Reliability as Changes are Implemented
    2. Reliability Growth Platform Overview
    3. Example Using the Reliability Growth Platform
    4. Launch the Reliability Growth Platform
      1. Time to Event
      2. Timestamp
      3. Event Count
      4. Phase
      5. By
      6. Data Table Structure
        1. Exact Failure Times versus Interval Censoring
        2. Failure and Time Termination
        3. Test Phases
    5. The Reliability Growth Report
      1. Observed Data Report
        1. Cumulative Events Plot
        2. Mean Time Between Failures Plot
        3. Duane Plot
    6. Reliability Growth Platform Options
      1. Fit Model
        1. Model List
      2. Script
    7. Fit Model Options
      1. Crow AMSAA
        1. Show MTBF Plot
        2. Show Intensity Plot
        3. Show Cumulative Events Plot
        4. Show Profilers
        5. Achieved MTBF
        6. Goodness of Fit
        7. Cramér-von Mises Test for Data with Uncensored Failure Times
        8. Chi-Squared Goodness of Fit Test for Interval-Censored Failure Times
      2. Fixed Parameter Crow AMSAA
      3. Piecewise Weibull NHPP
        1. Show MTBF Plot
        2. Show Intensity Plot
        3. Show Cumulative Events Plot
        4. Show Profilers
      4. Reinitialized Weibull NHPP
        1. Show MTBF Plot
        2. Show Intensity Plot
        3. Show Cumulative Events Plot
        4. Show Profilers
      5. Piecewise Weibull NHPP Change Point Detection
    8. Additional Examples of the Reliability Growth Platform
      1. Piecewise NHPP Weibull Model Fitting with Interval-Censored Data
      2. Piecewise Weibull NHP Change Point Detection with Time in Dates Format
    9. Statistical Details for the Reliability Growth Platform
      1. Statistical Details for the Crow-AMSAA Report
        1. Parameter Estimates
        2. Profilers
      2. Statistical Details for the Piecewise Weibull NHPP Change Point Detection Report
  10. Reliability Block Diagram
    1. Engineer System Reliabilities
    2. Reliability Block Diagram Platform Overview
    3. Example Using the Reliability Block Diagram Platform
      1. Add Components
      2. Align Shapes
      3. Connect Shapes
      4. Configure Components
    4. The Reliability Block Diagram Window
      1. Preview Window
      2. Reliability Block Diagram Platform Options
        1. Add a New Design Item
        2. Delete a Design or Library Item
        3. Add a New Library Item
        4. Show Design Comparisons
      3. Red Triangle Options for Designs and Library
      4. Workspace Options
    5. Distribution Properties for Components
      1. Configuration Settings
      2. Enter Nonparametric Distribution Data
    6. Profilers Available for Reliability Block Diagrams
      1. Distribution Profiler
        1. Red Triangle Options for Distribution
      2. Remaining Life Distribution Profiler
      3. Reliability Profiler
      4. Quantile Profiler
      5. Density Profiler
      6. Hazard Profiler
      7. Birnbaum’s Component Importance
      8. Remaining Life BCI
      9. Mean Time to Failure
    7. Print Algebraic Reliability Formula
  11. Survival Analysis
    1. Analyze Survival Time Data
    2. Survival Analysis Overview
    3. Example of Survival Analysis
    4. Launch the Survival Platform
    5. The Survival Plot
    6. Survival Platform Options
      1. Exponential, Weibull, and Lognormal Plots and Fits
        1. Additional Options
        2. WeiBayes Analysis
      2. Fitted Distribution Plots
      3. Competing Causes
    7. Additional Examples of Survival Analysis
      1. Example of Competing Causes
      2. Example of Interval Censoring
    8. Statistical Reports for Survival Analysis
  12. Fit Parametric Survival
    1. Fit Survival Data Using Regression Models
    2. Fit Parametric Survival Overview
    3. Example of Parametric Regression Survival Fitting
    4. Launch the Fit Parametric Survival Platform
    5. The Parametric Survival Fit Report
    6. Fit Parametric Survival Options
    7. Nonlinear Parametric Survival Models
    8. Additional Examples of Fitting Parametric Survival
      1. Arrhenius Accelerated Failure LogNormal Model
      2. Interval-Censored Accelerated Failure Time Model
      3. Analyze Censored Data Using the Nonlinear Platform
      4. Right-Censored Data
      5. Weibull Loss Function Using the Nonlinear Platform
      6. Fitting Simple Survival Distributions Using the Nonlinear Platform
        1. Exponential, Weibull, and Extreme-Value Loss Function
        2. Lognormal Loss Function
    9. Statistical Details for Fit Parametric Survival
      1. Loss Formulas for Survival Distributions
        1. Exponential Loss Function
        2. Weibull Loss Function
        3. Lognormal Loss Function
        4. Loglogistic Loss Function
  13. Fit Proportional Hazards
    1. Fit Survival Data Using Semi-Parametric Regression Models
    2. Fit Proportional Hazards Overview
    3. Example of the Fit Proportional Hazards Platform
      1. Risk Ratios for One Nominal Effect with Two Levels
    4. Launch the Fit Proportional Hazards Platform
    5. The Fit Proportional Hazards Report
    6. Fit Proportional Hazards Options
    7. Example Using Multiple Effects and Multiple Levels
      1. Risk Ratios for Multiple Effects and Multiple Levels
  14. References
  15. Index
    1. Reliability and Survival Methods
    2. Numerics
    3. A
    4. B
    5. C
    6. D
    7. E
    8. F
    9. G
    10. H
    11. I
    12. J
    13. K
    14. L
    15. M
    16. N
    17. O
    18. P
    19. Q
    20. R
    21. S
    22. T
    23. V
    24. W-Z