Applied Statistics and Probability for Engineers 3rd Edition - Solutions by Chapter

A full factorial experiment with k factors and all factors tested at only two levels (settings) each.

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

A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).

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 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

See Arithmetic mean.

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 equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).

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.

A continuous random variable that results from the sum of squares of independent standard normal random variables. It is a special case of a gamma random variable.

A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.

A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.

See Control chart.

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

The amount of variability exhibited by data

The difference between an estimated value and the true value.

A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

See P chart

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

The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .