 123.1: How does the twoway ANOVA differ from the oneway ANOVA?
 123.2: Explain what is meant by main effects and interaction effect
 123.3: How are the values for the mean squares computed?
 123.4: How are the F test values computed?
 123.5: In a twoway ANOVA, variable A has three levels and variable B has ...
 123.6: In a twoway ANOVA, variable A has six levels and variable B has fi...
 123.7: What are the two types of interactions that can occur in the twowa...
 123.8: When can the main effects for the twoway ANOVA be interpreted inde...
 123.9: Describe what the graph of the variables would look like for each s...
 123.10: For Exercises 10 through 15, perform these steps. Assume that all v...
 123.11: For Exercises 10 through 15, perform these steps. Assume that all v...
 123.12: For Exercises 10 through 15, perform these steps. Assume that all v...
 123.13: For Exercises 10 through 15, perform these steps. Assume that all v...
 123.14: For Exercises 10 through 15, perform these steps. Assume that all v...
 123.15: For Exercises 10 through 15, perform these steps. Assume that all v...
Solutions for Chapter 123: Analysis of Variance
Full solutions for Elementary Statistics: A Step by Step Approach  7th Edition
ISBN: 9780073534978
Solutions for Chapter 123: Analysis of Variance
Get Full SolutionsElementary Statistics: A Step by Step Approach was written by and is associated to the ISBN: 9780073534978. Chapter 123: Analysis of Variance includes 15 full stepbystep solutions. Since 15 problems in chapter 123: Analysis of Variance have been answered, more than 13283 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Elementary Statistics: A Step by Step Approach, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions.

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

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

Bernoulli trials
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.

Bias
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.

Bimodal distribution.
A distribution with two modes

Bivariate normal distribution
The joint distribution of two normal random variables

Central tendency
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.

Conditional variance.
The variance of the conditional probability distribution of a random variable.

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

Defect
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.

Defectsperunit control chart
See U chart

Density function
Another name for a probability density function

Error propagation
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.

Event
A subset of a sample space.

Ftest
Any test of signiicance involving the F distribution. The most common Ftests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.

Factorial experiment
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.

Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.

Fraction defective
In statistical quality control, that portion of a number of units or the output of a process that is defective.

Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r

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