PRODUCT RELIABILITY DESIGN: 2. Fundamentals of Applied Statistics

INTRODUCTION
- Population, elements, characters, characteristics
- The three main Chapters of Statistics
DESCRIPTIVE STATISTICS
- Histogram
- Cumulative curves and frequency density curves
- Bar graph (differences with the histogram)
- Prediction of defective percentage
- Pareto’s principle of “factor sparsity”
- Measures of Central Location and Measures of Dispersion
- Measures of Central Location: mean, median, mode
- Measures of Dispersion: range, average deviation, standard deviation
- Gauss Normal distribution and examples of applications
- Normal Probability Plot (NPP)
- Limits of Descriptive Statistics estimations
PROBABILITY THEORY
- Sampling
- Basic definitions and relationships about probability
- Examples of probability calculations
INTRODUCTION
- Population, elements, characters, characteristics
- The three main Chapters of Statistics
DESCRIPTIVE STATISTICS
- Histogram
- Cumulative curves and frequency density curves
- Bar graph (differences with the histogram)
- Prediction of defective percentage
- Pareto’s principle of “factor sparsity”
- Measures of Central Location and Measures of Dispersion
- Measures of Central Location: mean, median, mode
- Measures of Dispersion: range, average deviation, standard deviation
- Gauss Normal distribution and examples of applications
- Normal Probability Plot (NPP)
- Limits of Descriptive Statistics estimations
PROBABILITY THEORY
- Sampling
- Basic definitions and relationships about probability
- Examples of probability calculations
- A brief mention of the statistical distributions of current use: Binomial, Pois-
son, Rectangular, Log-normal, Weibull, Exponential (followed by summary
Tables of main statistical distributions)
- A brief mention of interpolating problems
- Possible deductions when we can not use a theoretical distribution: Tchéby-
chev’s inequality
STATISTICAL INFERENCE
● Estimate of a mean, a standard deviation and a proportion
- Punctual estimates
- Distribution of sample means
- Confidence interval for the estimation of a mean (and Student’s t distribution)
- Confidence interval for a standard deviation (and mention of Chi-square distri-
bution)
- Confidence interval for a proportion
- Confidence interval bilateral and unilateral (one-sided)
- Determination of sample size as a function of confidence interval
● Tests on a Statistical Hypothesis
- Type I and Type II errors
- Chi-square test for the goodness of fit