- 14.3.24: The accompanying two-way table was constructed usingdata in the art...
- 14.3.25: In an investigation of alcohol use among college students,each male...
- 14.3.26: Contamination of various food products is an ongoingproblem all ove...
- 14.3.27: The article Human Lateralization from Head to Foot:Sex-Related Fact...
- 14.3.28: A random sample of 175 Cal Poly State University studentswas select...
- 14.3.29: The accompanying data on degree of spirituality forsamples of natur...
- 14.3.30: Three different design configurations are being consideredfor a par...
- 14.3.31: A random sample of smokers was obtained, and eachindividual was cla...
- 14.3.32: Eclosion refers to the emergence of an adult insect froman egg. The...
- 14.3.33: Show that the chi-squared statistic for the test of independencecan...
- 14.3.34: Suppose that each student in a sample had been categorizedwith resp...
- 14.3.35: Suppose that in a particular state consisting of four distinctregio...
- 14.3.36: Consider the accompanying 2 3 3 table displaying thesample proporti...
Solutions for Chapter 14.3: Two-Way Contingency Tables
Full solutions for Probability and Statistics for Engineering and the Sciences | 9th 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 a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
Analysis of variance (ANOVA)
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
A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
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).
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
The mean of the conditional probability distribution of a random variable.
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
The response variable in regression or a designed experiment.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
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 subset of a sample space.
A series of tests in which changes are made to the system under study
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
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function