- 12-3.1: How does the two-way ANOVA differ from the oneway ANOVA?
- 12-3.2: Explain what is meant by main effects and interaction effect
- 12-3.3: How are the values for the mean squares computed?
- 12-3.4: How are the F test values computed?
- 12-3.5: In a two-way ANOVA, variable A has three levels and variable B has ...
- 12-3.6: In a two-way ANOVA, variable A has six levels and variable B has fi...
- 12-3.7: What are the two types of interactions that can occur in the two-wa...
- 12-3.8: When can the main effects for the two-way ANOVA be interpreted inde...
- 12-3.9: Describe what the graph of the variables would look like for each s...
- 12-3.10: For Exercises 10 through 15, perform these steps. Assume that all v...
- 12-3.11: For Exercises 10 through 15, perform these steps. Assume that all v...
- 12-3.12: For Exercises 10 through 15, perform these steps. Assume that all v...
- 12-3.13: For Exercises 10 through 15, perform these steps. Assume that all v...
- 12-3.14: For Exercises 10 through 15, perform these steps. Assume that all v...
- 12-3.15: For Exercises 10 through 15, perform these steps. Assume that all v...
Solutions for Chapter 12-3: Analysis of Variance
Full solutions for Elementary Statistics: A Step by Step Approach | 7th Edition
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
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
A distribution with two modes
Bivariate normal distribution
The joint distribution of two normal random variables
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.
The variance of the conditional probability distribution of a random variable.
Another name for factors that are arranged in a factorial experiment.
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.
Defects-per-unit control chart
See U chart
Another name for a probability density function
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.
A subset of a sample space.
Any test of signiicance involving the F distribution. The most common F-tests 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.
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.
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
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.