HOME»Catalog»Analysis of Data»Index

Index

From Analysis of Data, by J. M. Haile, Macatea Productions, 2003.

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
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
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
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)