Tools

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Intervals & Tests

Confidence Intervals

Hypothesis Testing

Hypothesis Test Of Sample Mean Example

Hypothesis Test Of Two Sample Variances Example

Hypothesis Test Of A Standard Deviation Compared To A Standard Value Example

Resampling (Bootstrapping)

Tolerance intervals

Distributions

Distributions

Properties of Distributions

Level of Significance

Producer risk

Consumer risk

Normal Distributions

Area Under the Standard Normal Curve

Central limit theorem

Johnson Distributions

Curve Fitting

Non-Normal Distributions in the Real World

Weibull Distribution

Folded-Normal Distribution

Rayleigh Distribution for True Position

F Distribution

Critical Values of the t Distribution

Chi-Square Distribution

Index

Weibull Distribution

The three parameter Weibull family of distributions is also quite versatile, including bounded, unbounded and log normal distributions. It is frequently used in reliability analysis. The Weibull distribution uses the all points method for curve fitting, and may be quite slow for large data files.


Learn more about the Statistical Inference tools for understanding statistics in Six Sigma Demystified (2011, McGraw-Hill) by Paul Keller, in his online Intro. to Statistics short course (only $89) or his online Black Belt certification training course ($875).