**Statistical Concepts in Metrology**

File : pdf, 2.64 MB, 47 pages

**TOC**

Statistical Concepts of a Measurement Process

Arithmetic Numbers and Measurement Numbers

Computation and Reporting of Results

Properties of Measurement Numbers

The Limiting Mean

Range, Variance, and Standard Deviation

Population and the Frequency Curve

The Normal Distribution

Estimates of Population Characteristics

Interpretation and Computation of Confidence Interval and

Limits

Precision and Accuracy

Index of Precision

Interpretation of Precision

Accuracy

Statistical Analysis of Measurement Data

Algebra for the Manipulation of Limiting Means and

Variances

Basic Formulas

Propagation of Error Formulas

Pooling Estimates of Variances

Component of Variance Between Groups

Comparison of Means and Variances

Comparison of a Mean with a Standard Value

Comparison Among Two or More Means

Comparison of Variances or Ranges

Control Charts Technique for Maintaining Stability and

Precision

Control Chart for Averages

Control Chart for Standard Deviations

Linear Relationship and Fitting of Constants by Least

Squares

Postscript on Statistical Graphics

Plots for Summary and Display of Data

Stem and Leaf

Box Plot

Plots for Checking on Models and Assumptions

Residuals

Adequacy of Model

Testing of Underlying Assumptions

Stability of a Measurement Sequence

Concluding Remarks

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