## Uncertainty, calibration, and probability: the statistics of scientific and industrial measurement |

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### Contents

UNCERTAINTIES AND FREQUENCY DISTRIBUTIONS | 1 |

Simple derivation of the Gaussian distribution Determination of constants | 48 |

mean or standard error Combination of a stochastic distribution with | 85 |

Copyright | |

21 other sections not shown

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### Common terms and phrases

approximation assumed Bernoulli's Theorem calculated calibration confidence probability constant corresponding curve degrees of freedom density function derived diagonal distribution of equal equal standard deviation equation estimated standard deviation estimated uncertainties exceeding expression F distribution find the probability fraction of correct Gaussian distribution gradient inch integral interval Known parameters large number limit point line of regression maximum value mean line mean plane mean value measured normal distribution number of degrees number of observations number of readings obtained parabola paras Prob probable number rectangles rejected required probability root mean square selected semi-range set of observations Similarly single reading sizing machine square standard error sub-class substituting Theorem three rectangular distributions tolerance coefficient tolerance interval tolerance limits tolerance probability tolerance range total uncertainty valid variable weighted mean whilst workpiece zero