Accendo Reliability

Your Reliability Engineering Professional Development Site

  • Home
  • About
    • Contributors
    • About Us
    • Colophon
    • Survey
  • Reliability.fm
    • Speaking Of Reliability
    • Rooted in Reliability: The Plant Performance Podcast
    • Quality during Design
    • CMMSradio
    • Way of the Quality Warrior
    • Critical Talks
    • Asset Performance
    • Dare to Know
    • Maintenance Disrupted
    • Metal Conversations
    • The Leadership Connection
    • Practical Reliability Podcast
    • Reliability Hero
    • Reliability Matters
    • Reliability it Matters
    • Maintenance Mavericks Podcast
    • Women in Maintenance
    • Accendo Reliability Webinar Series
  • Articles
    • CRE Preparation Notes
    • NoMTBF
    • on Leadership & Career
      • Advanced Engineering Culture
      • ASQR&R
      • Engineering Leadership
      • Managing in the 2000s
      • Product Development and Process Improvement
    • on Maintenance Reliability
      • Aasan Asset Management
      • AI & Predictive Maintenance
      • Asset Management in the Mining Industry
      • CMMS and Maintenance Management
      • CMMS and Reliability
      • Conscious Asset
      • EAM & CMMS
      • Everyday RCM
      • History of Maintenance Management
      • Life Cycle Asset Management
      • Maintenance and Reliability
      • Maintenance Management
      • Plant Maintenance
      • Process Plant Reliability Engineering
      • RCM Blitz®
      • ReliabilityXperience
      • Rob’s Reliability Project
      • The Intelligent Transformer Blog
      • The People Side of Maintenance
      • The Reliability Mindset
    • on Product Reliability
      • Accelerated Reliability
      • Achieving the Benefits of Reliability
      • Apex Ridge
      • Breaking Bad for Reliability
      • Field Reliability Data Analysis
      • Metals Engineering and Product Reliability
      • Musings on Reliability and Maintenance Topics
      • Product Validation
      • Reliability by Design
      • Reliability Competence
      • Reliability Engineering Insights
      • Reliability in Emerging Technology
      • Reliability Knowledge
    • on Risk & Safety
      • CERM® Risk Insights
      • Equipment Risk and Reliability in Downhole Applications
      • Operational Risk Process Safety
    • on Systems Thinking
      • The RCA
      • Communicating with FINESSE
    • on Tools & Techniques
      • Big Data & Analytics
      • Experimental Design for NPD
      • Innovative Thinking in Reliability and Durability
      • Inside and Beyond HALT
      • Inside FMEA
      • Institute of Quality & Reliability
      • Integral Concepts
      • Learning from Failures
      • Progress in Field Reliability?
      • R for Engineering
      • Reliability Engineering Using Python
      • Reliability Reflections
      • Statistical Methods for Failure-Time Data
      • Testing 1 2 3
      • The Hardware Product Develoment Lifecycle
      • The Manufacturing Academy
  • eBooks
  • Resources
    • Special Offers
    • Accendo Authors
    • FMEA Resources
    • Glossary
    • Feed Forward Publications
    • Openings
    • Books
    • Webinar Sources
    • Journals
    • Higher Education
    • Podcasts
  • Courses
    • Your Courses
    • 14 Ways to Acquire Reliability Engineering Knowledge
    • Live Courses
      • Introduction to Reliability Engineering & Accelerated Testings Course Landing Page
      • Advanced Accelerated Testing Course Landing Page
    • Integral Concepts Courses
      • Reliability Analysis Methods Course Landing Page
      • Applied Reliability Analysis Course Landing Page
      • Statistics, Hypothesis Testing, & Regression Modeling Course Landing Page
      • Measurement System Assessment Course Landing Page
      • SPC & Process Capability Course Landing Page
      • Design of Experiments Course Landing Page
    • The Manufacturing Academy Courses
      • An Introduction to Reliability Engineering
      • Reliability Engineering Statistics
      • An Introduction to Quality Engineering
      • Quality Engineering Statistics
      • FMEA in Practice
      • Process Capability Analysis course
      • Root Cause Analysis and the 8D Corrective Action Process course
      • Return on Investment online course
    • Industrial Metallurgist Courses
    • FMEA courses Powered by The Luminous Group
      • FMEA Introduction
      • AIAG & VDA FMEA Methodology
    • Barringer Process Reliability Introduction
      • Barringer Process Reliability Introduction Course Landing Page
    • Fault Tree Analysis (FTA)
    • Foundations of RCM online course
    • Reliability Engineering for Heavy Industry
    • How to be an Online Student
    • Quondam Courses
  • Webinars
    • Upcoming Live Events
    • Accendo Reliability Webinar Series
  • Calendar
    • Call for Papers Listing
    • Upcoming Webinars
    • Webinar Calendar
  • Login
    • Member Home
Home » LMS » Page 7

by Fred Schenkelberg Leave a Comment

S13 Block Diagrams, PoF, Predictions, Design Evals & Stress-Strength

S13 Block Diagrams, PoF, Predictions, Design Evals & Stress-Strength

CRE Live Preparation Course

S13 Block Diagrams, PoF, Predictions, Design Evals & Stress-Strength

Embedded recording of the session

https://s3.amazonaws.com/courses-accendoreliability-com/cre-winter-2020/s13-cre-live-winter-2020.mp4

 

Resources & Links

Contact me anytime with questions or concerns.

Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.

 

Additional Reading/Listening

Reliability Modeling using Monte Carlo

Design for Assembly

8 Factors of Design for Maintainability

Descriptive Models of the Design Process

Understanding the Design Process

Reliability Modeling Options

Reliability Block Diagrams Overview and Value

Series System

Parallel Systems

k out of n

Standby Redundancy, Equal Failure Rates, Imperfect Switching

Standby Redundancy with Equal Failure Rates and Perfect Switching

Stress Strength Normal Assumption

The Stress – Strength Concept in Practice

 

View Previous View Next

by Fred Schenkelberg Leave a Comment

S14 Design of Experiments

S14 Design of Experiments

CRE Live Preparation Course

S14 Design of Experiments

Embedded recording of the session

https://s3.amazonaws.com/courses-accendoreliability-com/cre-winter-2020/s14-cre-live-winter-2020.mp4

 

Resources & Links

Contact me anytime with questions or concerns.

Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.

 

Additional Reading/Listening

Reliability Improvement with Design of Experiment, Second Edition, (Quality and Reliability)

Interpreting Design of Experiments

Taguchi Design of Experiments Approach

Design of Experiments and Reliability

Design of Experiments

 

View Previous View Next

by Fred Schenkelberg Leave a Comment

S15 Design of Experiments & Design Considerations & lost connection

S15 Design of Experiments & Design Considerations & lost connection

CRE Live Preparation Course

S15 Design of Experiments & Design Considerations & lost connection

About an hour into this session my mouse locked up and froze me out of the session – restarted twice and still got disconnected. So, decided to spend some time troubleshooting rather than continuing.

We’re scheduling a makeup session on Tuesday, March 10th from 3 pm till we finish. If this will not work for you, please let me know and we’ll sort out a time to meet one-to-one, if necessary.

Embedded recording of the session

https://s3.amazonaws.com/courses-accendoreliability-com/cre-winter-2020/s15-cre-live-winter-2020.mp4

 

Resources & Links

Contact me anytime with questions or concerns.

Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.

 

Additional Reading/Listening

Reliability Improvement with Design of Experiment, Second Edition, (Quality and Reliability)

Interpreting Design of Experiments

Taguchi Design of Experiments Approach

Design of Experiments and Reliability

Design of Experiments

 

View Previous View Next

by Fred Schenkelberg Leave a Comment

S9 Intervals and Data Management

S9 Intervals and Data Management

CRE Live Preparation Course

Session 9 – Intervals & Data Management

Embedded recording of the session

(still some audio drift, yet hopefully not too bad)

https://s3.amazonaws.com/courses-accendoreliability-com/cre-winter-2020/s9-cre-live-winter-2020.mp4

 

Resources & Links

Contact me anytime with questions or concerns.

Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.

 

Additional Reading/Listening

Confidence Interval Interpretations and Misunderstandings

Tolerance Intervals for Normal Distribution Based Set of Data

Confidence Intervals for MTBF

 

 

View Previous View Next

by Fred Schenkelberg Leave a Comment

S8 SPC Charts and Intervals

S8 SPC Charts and Intervals

CRE Live Preparation Course

Session 8 – SPC, Capability, and Intervals

Embedded recording of the session (coming soon)

(still some audio drift, yet hopefully not too bad)

https://s3.amazonaws.com/courses-accendoreliability-com/cre-winter-2020/s8-cre-live-winter-2020.mp4

 

Resources & Links

Contact me anytime with questions or concerns.

Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.

 

Additional Reading/Listening

A slew of articles or tutorials on SPC and Process Capability

Confidence Interval Interpretations and Misunderstandings

Tolerance Intervals for Normal Distribution Based Set of Data

Confidence Interval for a Proportion – Normal Approximation

Confidence Intervals for MTBF

Confidence Interval for Variance

Point and Interval Estimates

The Many Ways We Use Variance

 

View Previous View Next

by Fred Schenkelberg Leave a Comment

S7 Sample Size and SPC Concepts

S7 Sample Size and SPC Concepts

CRE Live Preparation Course

Session 7 – Sample Size and SPC Concepts

Embedded recording of the session

(still some audio drift, yet hopefully not too bad)

https://s3.amazonaws.com/courses-accendoreliability-com/cre-winter-2020/s7-cre-live-winter-2020.mp4

 

Resources & Links

Contact me anytime with questions or concerns.

Fred Schenkelberg
fms@accendoreliability.com
(408) 710-8248 or via Skype (I’m fmsrel or you can find me by my name, I think)
**Please arrange a time for a call or Skype to make sure I’m available and expect your call.

 

Additional Reading/Listening

SOR 473 Reliability and Sample Size (podcast)

Fundamentals of Sample Size Determination (webinar)

Determine Success Testing Sample Size

Three Elements of Sample Size Concerning Decision Making

SPC Sample Size

Three Considerations for Sample Size

Sample Size Success Testing

A slew of articles or tutorials on SPC and Process Capability

View Previous View Next

by Steven Wachs Leave a Comment

10 Other Methods for Reliability Prediction

10 Other Methods for Reliability Prediction

Module 4 Estimation of Reliability Metrics

Lesson M04-10

Text: Section

Duration: 12 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Other Methods for Reliability Prediction

We close out this module with a short introduction of standards-based approaches for reliability prediction.  We also briefly discuss a more theoretical approach called Physics of Failure.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


View Previous

by Steven Wachs Leave a Comment

09 Non-Parametric Estimation

09 Non-Parametric Estimation

Module 4 Estimation of Reliability Metrics

Lesson M04-09

Text: Section 7

Duration: 16 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

In lesson 9, we introduce an estimation approach that does not require the use of a specific probability distribution.  It is a more general approach which may be useful when adequate models are difficult to fit.  There are some shortcomings of this approach.  For example, a large amount of data is needed and extrapolation is not possible.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


View Previous View Next

by Steven Wachs Leave a Comment

08 Handling Multiple Failure Modes & Exercise

08 Handling Multiple Failure Modes & Exercise

Module 4 Estimation of Reliability Metrics

Lesson M04-08

Text: Section 6 pages 26 – 32

Duration: 35 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Handling Multiple Failure Modes & Exercise

In this lesson, we show a demonstration of modeling multiple failure modes independently and then combining the results to produce overall system level estimates (and graphical output) that account for all failure modes.

 

Exercise

Data* is available for 30 electronic devices that were installed in typical service environments. Two failure modes have been observed. “Spike” failures were caused by an accumulation of randomly occurring damage from power-line voltage spikes resulting in electronic component failure. “Wear” failures were caused by normal product wear and began to occur after 100,000 cycles of use. The data is found in Dataset_5.MTW.

1. Set up the data and identify distributions that best describe each failure mode (Note: this step may be skipped if desired. For the following steps use: lognormal for “spike” and smallest extreme value for “wear”)

2. Generate the reliability curve for each failure mode separately as well as the reliability curve for the device that includes both failure modes

3. What is the system reliability at 100,000 cycles? What is the 95% lower confidence bound on R(100,000)?

4. Analyze the data without segregating the failure modes. At what times to the model predictions differ the most?

*From Statistical Methods for Reliability Data, Meeker & Escobar p.106

Here are the exercise files mentioned:

Dataset_5.MTW

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


View Previous View Next

by Steven Wachs Leave a Comment

07 Exercises

07 Exercises

Module 4 Estimation of Reliability Metrics

Lesson M04-07

Text: Section

Participant Guide: Module 4 pages 43 & 44

Duration: 24 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Exercises

Here is a chance to practice reliability estimation with censored data.  You also are asked to explore how making an additional assumption (regarding the shape parameter) affects the precision of the estimates.  A second exercise asks you to compare two groups by analyzing them together.

 

Exercises

1. 20 switches were put on a rig test. 15 units failed and 5 were right censored (Data is found in Dataset_2.MTW)

a) Using the best fitting (Weibull) distribution:

i. Generate and interpret a plot of the failure (hazard) rate

ii. Estimate the time at which the reliability drops to 0.95

iii. Provide the 95% lower confidence bound for the above estimate

b) If we assume that b is known (at its estimated value), how does the lower 95% confidence bound on the above estimate change?

 

2. The diaphragm material was changed to try and improve the Pump Reliability. Compare the reliability of the two materials (Data is found in Dataset_4.MTW)

Specifically:

a) Use Distribution Fitting by Design to find a reasonable distribution to model each set of data

b) Generate a Reliability Curve by Design

c) Does there appear to be statistically significant difference in the reliability performance

Here are the exercise files mentioned:

Dataset_2.MTW

Dataset_4.MTW

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


View Previous View Next

by Steven Wachs Leave a Comment

06 Comparing Multiple Groups

06 Comparing Multiple Groups

Module 4 Estimation of Reliability Metrics

Lesson M04-06

Text: Section

Duration: 11 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Comparing Multiple Groups

In this lesson, we illustrate how to perform an analysis on multiple groups of data for easy comparisons with regard to reliability performance.  The groups are independent data sets that could be from different designs, plants, suppliers, etc.  We also discuss how to assess whether the groups are statistically similar or not.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


View Previous View Next

by Steven Wachs Leave a Comment

05 Reliability Estimation with Censored Data

05 Reliability Estimation with Censored Data

Module 4 Estimation of Reliability Metrics

Lesson M04-05

Text: Section 6 pages 12 – 25

Duration: 14 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Reliability Estimation with Censored Data

Here, we provide another demonstration in Minitab which focuses on handling censored data.  In addition to the use of a censoring column for right-censored date, we also provide an alternate more general format which can accommodate right, interval, or left censoring, if present.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


View Previous View Next

by Steven Wachs Leave a Comment

04 Exercise

04 Exercise

Module 4 Estimation of Reliability Metrics

Lesson M04-04

Text: Section 6

Duration: 12 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Exercise

This exercise in this lesson gives you an opportunity to analyze a dataset and estimate some specified reliability statistics.  You also are asked to perform a sensitivity analysis be using an alternate model and compare the results.

 

Excercise

8 units were tested until failure and the failure times

(in cycles) are: 5323, 2133, 16709, 7746, 8782, 14033, 2406, 2699 (Data is also found in Dataset_1.MTW)

1. Using a Weibull distribution:

a) Estimate the B10 and B0.5 life

b) Estimate R(3000)

c) Provide the 95% lower confidence bounds for the above estimates

2. Repeat the above estimates using a Loglogistic distribution

Here is the exercise file mentioned:

Dataset_1.MTW

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


View Previous View Next

by Steven Wachs Leave a Comment

03 Using Minitab to Estimate Reliability Metrics (Demo)

03 Using Minitab to Estimate Reliability Metrics (Demo)

Module 4 Estimation of Reliability Metrics

Lesson M04-03

Text: Section 6 pages 7 – 11

Duration: 26 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Using Minitab to Estimate Reliability Metrics (Demo)

In this lesson, we walk through a complete example (in Minitab) of estimating reliability metrics using models found via probability plotting.  We learn how to specify the model, how to obtain specific estimates for reliability statistics (including confidence intervals/bounds), and how to obtain the desired graphical output.

 

Example dataset

19 Air Pumps tested to failure
106, 276, 316, 502, 525, 561, 602, 631, 677, 737, 957, 996, 1035, 1203, 1425, 1659, 1779, 1403, 2646
  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


View Previous View Next

by Steven Wachs Leave a Comment

02 Confidence Intervals & Bounds

02 Confidence Intervals & Bounds

Module 4 Estimation of Reliability Metrics

Lesson M04-02

Text: Section 6 pages 5 & 6

Duration: 18 minutes

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis

 

Confidence Intervals & Bounds

Most reliability targets specify a confidence level that must be achieved in order to meet the target.  Here, we review what confidence intervals/bounds are and how they are used to when estimating reliability metrics.  We also discuss factors (like sample size) that affect the precision of the estimates.

 

  • Reliability Analysis Methods
    • M01 Reliability Concepts & Data
      • 01 Why Reliability & Typical Questions
      • 02 Defining Reliability
      • 03 Type of Reliability Data & Unique Aspects
      • 04 Censored Data
      • 05 The Bathtub Curve & Reliability Function
    • M02 Probability & Reliability Statistics
      • 01 Probability Basics
      • 02 Conditional Probability, Independent Events, & Exercise
      • 03 Reliability Metrics & Statistics
      • 04 Common Distributions & Weibull Distribution
      • 05 Conditional Reliability & Exercise
      • 06 Review Exercises
      • 07 Useful Discrete Distributions & Exercise
    • M03 Assessing & Selecting Models for Time-to-Failure Data
      • 01 Overview of Distribution Fitting & Reliability
      • 02 Probability Plots & Minitab Demonstration
      • 03 Constructing Probability Plots
      • 04 Distribution Fitting with Right-Censored Data
      • 05 Exercises
      • 06 Distribution Fitting with Multiple Failure Modes
      • 07 Exercise and Module Wrap-up
    • M04 Estimation of Reliability Metrics
      • 01 Overview of Reliability Estimation & Methods
      • 02 Confidence Intervals & Bounds
      • 03 Using Minitab to Estimate Reliability Metrics (Demo)
      • 04 Exercise
      • 05 Reliability Estimation with Censored Data
      • 06 Comparing Multiple Groups
      • 07 Exercises
      • 08 Handling Multiple Failure Modes & Exercise
      • 09 Non-Parametric Estimation
      • 10 Other Methods for Reliability Prediction
    • M05 Introduction to System Reliability
      • 01 System Reliability Overview & Basic Series Systems
      • 02 Basic Parallel Systems & Short Exercise
      • 03 k-out-of-n Parallel Systems & Combination Systems
      • 04 Exercises
      • 05 Complex Systems
      • 06 Reliability Importance, Reliability Allocation, & other Concepts
    • M06 Reliability Test Planning
      • 01 Reliability Testing Ideas
      • 02 Reliability Test Planning & Censoring Schemes
      • 03 Reliability Estimation Test Planning
      • 04 Exercises
      • 05 Reliability Demonstration Test Planning
      • 06 Exercise
      • 07 Zero Failure Test Plans Special Case & Module Wrap-up
    • M07 Analysis of Warranty Data
      • 01 Warranty Analysis Overview & Key Concepts
      • 02 Data Setup & Calculations
      • 03 Minitab Demonstration
      • 04 Exercise
    • M08 Design for Reliability (DFR)
      • 01 Design for Reliability (DFR) Overview
      • 02 DFR Process & Methodology Overview
    • M09 Introduction to Advanced Topics
      • 01 Types of Accelerated Life Testing (ALT)
      • 02 Introduction to Quantitative ALT
      • 03 Introduction to Repairable System Analysis
      • 04 Stress-Strength Analysis


View Previous View Next

  • « Previous Page
  • 1
  • …
  • 5
  • 6
  • 7
  • 8
  • 9
  • …
  • 43
  • Next Page »
[hide_from site_member="1" visible_to="public"] Get Weekly Email Updates
[/hide_from]
The Accendo Reliablity logo of a sun face in circuit

[hide_from visible_to='public']Please login to have full access.

[login-form]
[password-recovery-link text='Lost Password? Click here to have it emailed to you.']

Not already a member? It's free and takes only a moment to create an account with your email only.

Join

Your membership brings you all these free resources:

  • Live, monthly reliability webinars & recordings
  • eBooks: Finding Value and Reliability Maturity
  • How To articles & insights
  • Podcasts & additional information within podcast show notes
  • Podcast suggestion box to send us a question or topic for a future episode
  • Course (some with a fee)
  • Largest reliability events calendar
  • Course on a range of topics - coming soon
  • Master reliability classes - coming soon
  • Basic tutorial articles - coming soon
  • With more in the works just for members

[/hide_from][show_to accesslevel="Free" ]
Thanks for being a member [member_first_name]!
[/show_to]

© 2026 FMS Reliability · Privacy Policy · Terms of Service · Cookies Policy

Book the Course with John
  Ask a question or send along a comment. Please login to view and use the contact form.
This site uses cookies to give you a better experience, analyze site traffic, and gain insight to products or offers that may interest you. By continuing, you consent to the use of cookies. Learn how we use cookies, how they work, and how to set your browser preferences by reading our Cookies Policy.