Mathematical Statistics with Applications 7th 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

The probability mass function of the conditional probability distribution of a discrete random variable.

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.

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

For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.

Used in statistical quality control, a defect is a particular type of nonconformance to speciications or requirements. Sometimes defects are classiied into types, such as appearance defects and functional defects.

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

The response variable in regression or a designed experiment.

The amount of variability exhibited by data

The difference between an estimated value and the true value.

In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a model-itting process and not on replication.

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

A type of experimental design in which every level of one factor is tested in combination with every level of another factor. In general, in a factorial experiment, all possible combinations of factor levels are tested.

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

In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.

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.

An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on

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 .

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

In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.