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Index
From Analysis of Data, by J. M. Haile, Macatea Productions, 2003.
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Accuracy, 3, 7, 10, 11, 32, 77, 82, 91 Alkanes, 111 Aluminum, 76 Analysis, v, 1-3, 21, 22, 81 . . . .advanced, 91, 92f . . . .basic, 91-92 . . . .prerequisites, 6 . . . .sensitivity, 85 Average (a.k.a., mean), 14, 32 . . . .Dow-Jones, 62 Bin size, 17 Biological cells, frozen, 90 Blunders, 17, 19, 20 Boiling points, 111 Bounds, 5, 24, 103 Budget, uncertainty, 30 Calibration, 10, 19, 23, 100 Causal connection, 72-4 Cells, biological, 90 Central values, 14f Chauvenet's criterion, 20f Clausius-Clapeyron equation, 43 Clusters, 16, 18f Coarse graining, 19 |
Coefficient, correlation, . . . .linear, 40, 64 . . . .rank-order, 66 Coefficient matrix, 85 Comet Halley, 62 Comparing two experiments, 92f Compressibility factor, 28f, 88, 104, 106f Computer simulation, 6 Conditionals, 102, 110 Confidence level, 23, 26, 31 Conservation laws, 92 Consistency, 92, 103 Contrapositive, 102 Converse, 100, 102 Cookbooks, x Correlation, 34, 52, 62f. 72f, 80 . . . .linear, 40-2, 50, 64 . . . .of grades, 70f . . . .rank-order, 66-9 Corresponding states, 6, 107 Coverage factor, 26 Cramer's rule, 87 Cylinder, 29 Data, . . . .comparing, 92 . . . .correlating, 63f |
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Data (con'd), . . . .discarding, 19f . . . .extrapolating, 5, 103f . . . .separate from experiment, 7 Derivatives, 29, 38, 46, 78 Design of experiments, 3, 6f, 10, 30, 77, 80f, . . . . 88 Detective, 91 Determinant, 86f, 89 Deviations, 45, 51, 59 . . . . of the mean, 23, 32 . . . . standard, 12-5, 19-21, 23, 32 . . . . sum of, 15, 49 . . . . sum of squares of, 15, 50 Differential sensitivity, 78, 81f Dimensional analysis, 107 Dimethyl ether, 100 Distribution, 11-19, 22, 24, 26f, 58, 66, 68 Dow-Jones average, 62 Efficiency, 94-96 Energy balances, 92 Equation, measurement, 28, 78, 88, 93 Error bars, 31, 47-9, 91 Errors, . . . . statistical, 9f, 22, 57, 66, 68, 81 . . . . systematic, 9f, 21f, 57, 66 Ethanol, 100-102 Experiments, 1 . . . . alternatives to, 6 . . . . comparing two, 92f . . . . design of, 3, 6f, 10, 30, 77, 80f, 88 . . . . purposes of, 2 Exponential, 29, 36f, 52 Extensive design, 6 Extrema, 96-99 Fit, least-squares, 35, 44-54, 57, 61 Flow thru pipe, 14f, 83f Fractional . . . . residuals, 57-8 |
Fractional (con'd), . . . . sensitivity, 78 . . . . uncertainties, 29 Frequency distribution, 16-8 Functions, progressions of, 38f Gaussian distribution, 11-3, 16, 32, 66 Generalization, 106 Gravitational constant, 8 Guess, 5 Halley's comet, 62 Heat capacity, 34, 88 Ideal-gas law, 3, 105f, 111 Incremental change, 79, 82 Infinite limit, 103 Intensive design, 6 Intercept, see slope Internal consistencies, 92 Inverse, 101 Law of large numbers, 50 Least squares, 35, 44-54, 57, 61 . . . . normal eqs., 45-7 Level of confidence, 23, 26, 31 Limits, 103f Linear algebra, 46, 84f Linear correlation, 64f, 107 Linear correlation coefficient, 40-2, 50, 64 Linearity, measure of, 40f, 64 Linearization, 36f, 61, 56, 92 Log-log plot, 36f, 43, 56 Logical extensions, 98f Material balances, 83f, 86, 89 Matrix form, 84 Maxima, 96-99 Mean, 9-23, 28, 31-3, 41, 57, 62, 64, 67f, 71 Measurement, 1 . . . . alternatives to, 5 . . . . discarding, 19f |
From J. M. Haile, Analysis of Data, Index, Macatea Productions, 2003.
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Measurement (con'd) . . . . equation, 28, 78, 88, 93 . . . . quality of, 2 . . . . repeated, 14f . . . . small numbers of, 27 Median, 14f, 17-9, 32 Minima, 96-99 Mixing, 83f, 86f Model, 3-6, 28, 69, 77, 104, 107 Mole fraction, 80, 82-84, 87-9 Monotonic function, 68, 96-99 Nitrogen, 107-10 Normal distribution, 12, 18, 24, 26f (see also Gaussian) Normal equations, 45, 49, 51 Number of measurements, 27 Observation, 1 One-point test, 17 Outliers, 17, 19-21, 33, 51, 57 Polynomial, 54, 66 Power law, 36f, 56 Prandtl number, 34 Precision, 7, 11, 19, 91 Prerequisites to analysis, 6 Progression of functions, 38f Propagation of uncertainty, 28f, 50 Quadratic, 66, 74, 94f r, see linear correlation coefficient Range, 3, 11, 15f, 19, 22, 24, 56f, 83, 96 Range plus tolerance, 93-6 Rank-order correlation coefficients, 66-9 Rayleigh, 20 Rectangle, 29 Refrigerants, 34 |
Residuals, 55f, 92 . . . . fractional, 58 Right cylinder, 29 Robust, 15, 16, 68 Scaling laws, 6, 107 Second virial coefficients, 107-10 Semilog plot, 36f, 42, 52 Sensitivity, 2, 17, 29, 77f, 93-6 . . . . measures of, 78f Signal-to-noise ratio, 3, 13 Significance, 68-9 Significant figures, 17, 28 Skewed distribution, 16, 18f Slope and intercept . . . . least squares, 44, 46, 51 . . . . uncertainties in, 50 Specialization, 103f Stability, 83f Standard deviation, 12-5, 19-21, 23, 32 Steam, 104, 106, 107 Straight line, 36, 38, 39, 41, 43-5, 51, 54, . . . . 55, 80, 104, 107 Student's t-test, 65 Taylor expansion, 28, 80 Theoretical context, 3, 4, 7, 21, 35, 44, 88, 92, . . . . 93, 103 Thermal conductivity, 34, 76 Truth value, 100-03 Uncertainty, 2, 8, 22, 91, 95-6 . . . . bars, 31 . . . . budget, 30 . . . . combined, 25 . . . . expanded, 26 . . . . fractional, 29 . . . . in slope and intercept, 50 . . . . propagation of, 28f . . . . reporting, 30-1 . . . . type A, 22f |
From J. M. Haile, Analysis of Data, Index, Macatea Productions, 2003.
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Uncertainty (con'd) . . . . type B, 24f . . . . weighting with, 45 Uniform distribution, 16-8, 24, 58, 68 Vapor pressure, 41-4, 52f, 77, 80-1 Variability, 15f Virial coefficient, second, 107-10 Viscosity, 34 |
Water, 1, 14, 24, 30, 41, 44, 52-3, 80-1 Watson, Dr., 91 Weighted least squares, 46f Weights, 46-48, 53, 57 X-y plots, 31, 36-40, 53, 59 Z, 28-9, 88, 104, 106-7 (see also, compressibility factor) |
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