Last Updated  S022021 
MSR508
Unit Name  DATA ANALYSIS AND STATISTICS 
Unit Code  MSR508 
Unit Duration  1 Term (online) or 1 Semester (oncampus) 
Award 
Graduate Diploma of Engineering (Safety, Risk and Reliability) Duration: 1 year Master of Engineering (Safety, Risk and Reliability) Duration: 2 years 
Year Level  One 
Unit Creator / Reviewer  Keerthy Mysore  Arti Siddhpura  Kecheng Shen 
Core/Elective:  Core 
Pre/Corequisites  Nil 
Credit Points 
3 Grad Dip total course credit points = 24 (3 credits x 8 (units)) Masters total course credit points = 48 (12 credits (Thesis) + 3 credits x 12 (units)) 
Mode of Delivery 
Online or oncampus. 
Unit Workload 
10 hours per week: Lecture  1 hour Tutorial  1 hours Assessments / Practical / Lab  1 hour (where applicable) Personal Study recommended  7 hours (guided and unguided) 
Unit Description and General Aims
This unit focusses on Interpretation of Failure rates. Starting with a discussion on the differences between success and failure domains, the unit meanders through various topics such as sources of failure data, accuracy, confidence levels, Cumulative Poisson curves, Chisquare tests, and the bathtub curve for constant failure rates and the Weibull distribution for variable failure rates. The unit concludes that the extremely wide variability of failure rates of identical components under identical conditions obviates the need for complex reliability prediction models.
Learning Outcomes
On successful completion of this Unit, students are expected to be able to:
1. Compare and contrast failure data from various sources in terms of reliability, accuracy and confidence levels.
2. Apply correction factors to failure data to make it “fit for purpose”
3. Apply appropriate failure data to reallife situations
4. Employ appropriate statistical methods for data analysis and deductions
5. Interpret system failure rates and appreciate their limitations
6. Discuss Field data collection and Reliability Growth Modelling
Student assessment
Assessment Type 
When assessed

Weighting (% of total unit marks)  Learning Outcomes Assessed 
Assessment 1 Type: Multichoice test (Proctored) Word length: n/a Topic: All material covered in the syllabus to date. Assessing terms and jargon, Data accuracy and measurement system 
After Topic 3  15%  Topic 1, 2, 3 (1, 2)

Assessment 2 Type: Midsemester test (Proctored) Example Questions: “Explain contingency table. Calculate binomial distribution.”

After Topic 6 
25%  Topic 4, 5, 6 (3, 4)

Assessment 3 Type: Case study of statistical data analysis in an engineering or management application and presentation
Allocation of weighting: 15%  Report 5%  Presentation (Presentations to take place during Topic 12 tutorial) Word length for Report: 1500 
After Topic 9 
20%  Topic 6, 7, 8, 9 (4, 5)

Assessment 4 Type: Reliability related Report (Final Project) Word length: 2500 Example: Application of statistical techniques of Weibull analysis/growth analysis, or study on failure data sources in engineering and management Word length: 2500 
After Topic 12  35% 
All Topics (1  6) 
Attendance 
Continuous  5%  16 
Prescribed and Recommended readings
Required textbook(s)

 D.J. Smith and K.G.L. Simpson, Safetycritical systems handbook: a straightforward guide to functional safety: IEC 61508 (2010 edition) and related standards, 2010.
OR
 D. J. Smith, Reliability, Maintainability and Risk, 2005.
 Kubiak, T. M. Benbow, Donald W.. (2017). Certified Six Sigma Black Belt Handbook (3rd Edition). American Society for Quality (ASQ). Retrieved from https://app.knovel.com/hotlink/toc/id:kpCSSBBH02/certifiedsixsigmablack/certifiedsixsigmablack
 Ebeling, C. E. (2019). An Introduction to Reliability and Maintainability Engineering, Third Edition (3rd edition). Waveland Press, Inc.
 Ayyub, B. M., & McCuen, R. H. (2016). Probability, statistics, and reliability for engineers and scientists. CRC press
Reference Materials
A number of peerreviewed journals and websites (advised during lectures). Some examples are listed below.
 Reliability growth – Statistical test and estimation methods, Australian standard AS IEC 611642008.
 Equipment reliability – Reliability assessment methods, Australian standard AS IEC 62308– 2008.
 IDC /EIT notes and Reference texts as advised.
 Other material advised during the lectures
Unit Content
One topic is delivered per contact week.
Topic 1
 Basic Concepts
 Complementary Rule of Probability
 Addition Rule of Probability
 Contingency Tables
 Conditional Probability
 Independent and Dependent Events
 Mutually Exclusive Events
 Multiplication Rule of Probabilities
 Distributions
 Normal Distribution
 Poisson Distribution
 Binomial Distribution
 tDistribution (also known as Student's tDistribution)
 Exponential Distribution
 Lognormal Distribution
 Weibull Distribution
Topic 2
 Basic Statistical Terms
 Central Limit Theorem
 Descriptive Statistics
 Measures of Central Tendency
 Measures of Dispersion
 Other Useful Descriptive Statistics
 Determining Quartiles
 Graphical Methods
 Frequency Distribution
 Histogram
 Scatter Diagrams
 Normal Probability Plot
Topic 3
Measuring and Modelling Relationships between Variables
 Simple Linear Regression
 Value of the prediction equation
 Assumptions
 Checking assumptions through the residual plot
 Confidence Interval for the Regression Line
Topic 4
Field Data Collection and Feedback
 Reasons for Data Collection
 Information and Difficulties
 Spreadsheets and Databases
 Best Practice and Recommendations
 Analysis and Presentation of Results
 Examples of Failure Report Forms
Topic 5
Data accuracy, databases and confidence limits
 Data Accuracy
 Sources of Data
 Manufacturers' Data
 Anecdotal Data
 NoFaultFound (NFF)
 Data Ranges
 Manufacturers' Data (Warranty Claims)
 Overall Conclusion
Topic 6
Basic concepts of reliability  I
 The study of Reliability and Maintainability
 Concepts, terms and definitions
 Applications
 A brief history
 Reliability Engineering as a Profession
Topic 7
Basic concepts of reliability  II
 Defining Failure and Failure Modes
 Failure Rate Function
 Time to failure and Time between failures
 Interrelationships of Terms
 Bathtub Curve
 Conditional Reliability
 Times to Failure
 Down Time and Repair Time
 Availability, Unavailability and Probability of Failure on Demand
 Hazard and RiskRelated Terms
 Choosing the Appropriate Parameter
Topic 8
Distribution analysis/Weibull analysis
 Ranking of times to failure
 Probability plotting
 Estimate of the distribution parameters
 Goodness of fit test
 3parameter Weibull probability plot
Topic 9
Reliability Growth Modelling
 The CUSUM ((Cumulative Sum Chart) technique
 AMSAA (U.S. Army Materiel Systems Analysis Activity) model
 Duane Plots
Topic 10
Data accuracy, databases and confidence limits
 General procedure
 Confidence intervals on sample statistics
 Confidence interval for the mean
 Factors affecting confidence interval and sampling variation
 Sample size determination
 Relationship between decision parameters and type I and II errors
Topic 11
Interpreting data
 The four cases
 Inference and confidence levels
 The ChiSquare distribution and test
 Confidence interval of MTBF/MTTR with time termination
 Confidence interval of MTTR/MTTR with failure termination
Topic 12
Presentations and Unit Review
In the final week, students will prepare and present the main findings of their case study as part of Assessment 3. They will also have an opportunity to review the contents covered so far. Opportunities will be provided for a review of student work and to clarify any outstanding issues. Instructors/facilitators may choose to cover a specialized topic if applicable to that cohort.
Software/Hardware Used
Software

Software: N/A

Version: N/A

Instructions: N/A

Additional resources or files: N/A
Hardware
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