- 5.4.1E: To study the effect of curing temperature on shear strength of a ce...
- 5.4.2E: The article “Some Parameters of the Population Biology of Spotted F...
- 5.4.3E: The article “Inconsistent Health Perceptions for US Women and Men w...
- 5.4.4E: The article “Hatching Distribution of Eggs Varying in Weight and Br...
- 5.4.5E: The article “Automatic Filtering of Outliers in RR Intervals Before...
- 5.4.6E: A group of 78 people enrolled in a weight-loss program that involve...
- 5.4.7E: In experiments to determine the effectiveness of drugs such as anti...
- 5.4.8E: A stress analysis was conducted on random samples of epoxy-bonded j...
- 5.4.9E: In a study to compare two different corrosion inhibitors, specimens...
- 5.4.10E: An electrical engineer wishes to compare the mean lifetimes of two ...
- 5.4.11E: In a study of the effect of cooling rate on the hardness of welded ...
- 5.4.12E: Refer to Exercise 11. Ten more welds will be made in order to incre...
- 5.4.13E: The article “The Prevalence of Daytime Napping and Its Relationship...
- 5.4.14E: The article “Occurrence and Distribution of Ammonium in Iowa Ground...
Solutions for Chapter 5.4: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
2 k p - factorial experiment
A fractional factorial experiment with k factors tested in a 2 ? p fraction with all factors tested at only two levels (settings) each
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
Asymptotic relative eficiency (ARE)
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.
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.
Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
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 .
Another name for factors that are arranged in a factorial experiment.
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
Defects-per-unit control chart
See U chart
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
Error of estimation
The difference between an estimated value and the true value.
Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
Fixed factor (or fixed effect).
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.
In statistical quality control, that portion of a number of units or the output of a process that is defective.
Fractional factorial experiment
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.
A function used in the probability density function of a gamma random variable that can be considered to extend factorials