 9.5.1: Construct a sign table for the principal fraction for a 24 design. ...
 9.5.2: Give an example of a factorial experiment in which failure to rando...
 9.5.3: A chemical reaction was run using two levels each of temperature (A...
 9.5.4: The article Efficient Pyruvate Production by a MultiVitamin Auxotr...
 9.5.5: The article cited in Exercise 4 also investigated the effects of th...
 9.5.6: A metal casting process for the production of turbine blades was st...
 9.5.7: The article An Investigation into the Ball Burnishing of Aluminium ...
 9.5.8: In a 2p design with one replicate per treatment, it sometimes happe...
 9.5.9: Safety considerations are important in the design of automobiles. T...
 9.5.10: In a smalldisc test a small, discshaped portion of a component is...
 9.5.11: The article Factorial Design for Column Flotation of Phosphate Wast...
 9.5.12: The article An Application of Fractional Factorial Designs (M. Kilg...
 9.5.13: In a 251 design (such as the one in Exercise 12) what does the esti...
Solutions for Chapter 9.5: 2p Factorial Experiments
Full solutions for Statistics for Engineers and Scientists  4th Edition
ISBN: 9780073401331
Solutions for Chapter 9.5: 2p Factorial Experiments
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since 13 problems in chapter 9.5: 2p Factorial Experiments have been answered, more than 283806 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Chapter 9.5: 2p Factorial Experiments includes 13 full stepbystep solutions.

Alias
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.

Arithmetic mean
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average

Assignable cause
The portion of the variability in a set of observations that can be traced to speciic causes, such as operators, materials, or equipment. Also called a special cause.

Bivariate normal distribution
The joint distribution of two normal random variables

Center line
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.

Coeficient of determination
See R 2 .

Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.

Conidence interval
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made

Conidence level
Another term for the conidence coeficient.

Consistent estimator
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.

Continuity correction.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.

Continuous distribution
A probability distribution for a continuous random variable.

Contour plot
A twodimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.

Correlation matrix
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 offdiagonal elements rij are the correlations between Xi and Xj .

Covariance matrix
A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the offdiagonal elements are the covariances between Xi and Xj . Also called the variancecovariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.

Crossed factors
Another name for factors that are arranged in a factorial experiment.

Discrete random variable
A random variable with a inite (or countably ininite) range.

Experiment
A series of tests in which changes are made to the system under study

False alarm
A signal from a control chart when no assignable causes are present

Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.