Probability and Statistics with Reliability, Queuing, and Computer Science Applications 2nd Edition - Solutions by Chapter

A fractional factorial experiment with k factors tested in a 2 ? p fraction with all factors tested at only two levels (settings) each

A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions

A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.

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

An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.

When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable

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

The probability of an event given that the random experiment produces an outcome in another event.

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

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

A linear function of treatment means with coeficients that total zero. A contrast is a summary of treatment means that is of interest in an experiment.

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 off-diagonal elements are the covariances between Xi and Xj . Also called the variance-covariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.

The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.

An expression sometimes used for nonlinear regression models or polynomial regression models.

See U chart

A discrete random variable with a inite range and constant probability mass function.

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 continuous random variable that is the sum of a ixed number of independent, exponential random variables.

The numerical value of a point estimator.

A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.