Engineering Statistics
- Basic concepts, importance and Introduction to statistics and probabilityin engineering
Collecting engineering data
Data types in engineering studies
(Where are we going to in this course)
- Data summary and presentation 1
Sample and population average and variance
stem-and-leaf diagram
quartiles and percentile
- Data summary and presentation 2 (statistical measures: concept and formula)
Histograms, Box plot and Pareto chart
Multivariate data displays (matrix scatter diagram)
Sample correlation coefficient
- Sampling 1
Random sampling and future population
Statistic
Sampling distributions
- Sampling 2
t-student, F and chi-square distributions
- Point statistical estimation
unbiased estimator and bias estimator
Minimum variance unbiased estimator and mean square error
- Point estimation and estimator properties
How to generate estimators:
MLE and MME
Bootstraping
- Interval statistical estimation and hypotheses testing
type I error and type II errors
Power of a statistical test
Choice of Sample Size
Goodness-of-fit
- Interval statistical estimation and hypotheses testing
type I error and type II errors
Power of a statistical test
Choice of Sample Size
Goodness-of-fit
- Regression 1
Simple regression model and Least Squares Estimation, parameter estimation of regression model
Testing Hypotheses in Simple Linear Regression
- Regression 1
Simple regression model and Least Squares Estimation, parameter estimation of regression model
Testing Hypotheses in Simple Linear Regression
- Regression 2
Checking Model Adequacy residual analysis
Correlation and Regression
- Analysis of variance
Level and factor
How to analyse sum of squares and SSE
Practical engineering conclusion from analysis of variance
- Analysis of variance
Level and factor
How to analyse sum of squares and SSE
Practical engineering conclusion from analysis of variance
- Blocking design and its analysis of variance