Stats Modeling the World 4th Edition - Solutions by Chapter

In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test

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

Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.

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

The joint distribution of two normal random variables

Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data

Another term for the conidence coeficient.

A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria

See Control chart.

In the most general usage, a measure of the interdependence among data. The concept may include more than two variables. The term is most commonly used in a narrow sense to express the relationship between quantitative variables or ranks.

A measure of association between two random variables obtained as the expected value of the product of the two random variables around their means; that is, Cov(X Y, ) [( )( )] =? ? E X Y ? ? X Y .

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.

A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t

The amount of variability exhibited by data

The numerical value of a point estimator.

A subset of a sample space.

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

Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.

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