- 7.4.1E: The following output (from MINITAB) is for the least-squares fit of...
- 7.4.2E: The processing of raw coal involves “washing,” in which coal ash (n...
- 7.4.3E: To determine the effect of temperature on the yield of a certain ch...
- 7.4.5E: Good forecasting and control of preconstruction activities leads to...
- 7.4.6E: The article “Drift in Posturography Systems Equipped With a Piezoel...
- 7.4.7E: The National Assessment for Educational Progress measured the perce...
- 7.4.8E: The article “Oxidation State and Activities of Chromium, Oxides in ...
- 7.4.9E: A windmill is used to generate direct current. Data are collected o...
- 7.4.10E: Two radon detectors were placed in different locations in the basem...
- 7.4.11E: The article “The Equilibrium Partitioning of Titanium Between Ti3+ ...
- 7.4.12E: The article “The Selection of Yeast Strains for the Production of P...
- 7.4.13E: The article “Mathematical Modeling of the Argon-Oxygen Decarburizat...
- 7.4.14E: The article “Characteristics and Trends of River Discharge into Hud...
- 7.4.15E: The article “Some Parameters of the Population Biology of Spotted F...
- 7.4.16E: The article “Mechanistic-Empirical Design of Bituminous Roads: An I...
- 7.4.17E: An engineer wants to determine the spring constant for a particular...
Solutions for Chapter 7.4: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
Analysis of variance (ANOVA)
A method of decomposing the total variability in a set of observations, as measured by the sum of the squares of these observations from their average, into component sums of squares that are associated with speciic deined sources of variation
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
Central composite design (CCD)
A second-order response surface design in k variables consisting of a two-level factorial, 2k axial runs, and one or more center points. The two-level factorial portion of a CCD can be a fractional factorial design when k is large. The CCD is the most widely used design for itting a second-order model.
The mean of the conditional probability distribution of a random variable.
See Control chart.
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the off-diagonal elements rij are the correlations between Xi and Xj .
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
Defects-per-unit control chart
See U chart
The response variable in regression or a designed experiment.
Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.
A type of experimental design in which every level of one factor is tested in combination with every level of another factor. In general, in a factorial experiment, all possible combinations of factor levels are tested.
Fisher’s least signiicant difference (LSD) method
A series of pair-wise hypothesis tests of treatment means in an experiment to determine which means differ.
A function used in the probability density function of a gamma random variable that can be considered to extend factorials
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.
Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.