Stats Modeling the World 4th Edition - Solutions by Chapter

In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).

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

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

Unbiased estimator.

The joint distribution of two normal random variables

Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.

The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.

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

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

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 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 .

A subset of effects in a fractional factorial design that deine the aliases in the design.

A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.

A study in which a sample from a population is used to make inference to the population. See Analytic study

The error sum of squares divided by its number of degrees of freedom.

A series of pair-wise hypothesis tests of treatment means in an experiment to determine which means differ.

A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.

Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications

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