Lecture Notes on Statistical Methods

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1 Lecture Notes on Statistical Methods (by Tom Co 9/23/2007, 10/15/2007) Charateristics of a Good Engineering Experiment 1. Necessity. a) objective is well formulated b) economical c) results are needed for decision, understanding and process improvement 2. Scope. a) significant variables are tested within important range b) (boundary and initial) conditions are properly set up c) results are representative of general case, scalable 3. Reproducibility and Statistical Significance a) enough trials need to be taken to assess confidence b) results must be reproducible for accuracy and precision of prediction 4.

8 Application 2: Calculating Sample Sizes Main Problem: - We want to estimate the population mean µ to within a specified precision. - Assuming we have a reasonable idea of the standard deviation σ of the population, we need to determine how many samples are needed in order to satisfy the required precision.

  Standards, Calculating, Deviation, Standard deviation