# Solutions for Chapter 12-3: Analysis of Variance

## Full solutions for Elementary Statistics: A Step by Step Approach | 7th Edition

ISBN: 9780073534978

Solutions for Chapter 12-3: Analysis of Variance

Solutions for Chapter 12-3
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##### ISBN: 9780073534978

Elementary Statistics: A Step by Step Approach was written by and is associated to the ISBN: 9780073534978. Chapter 12-3: Analysis of Variance includes 15 full step-by-step solutions. Since 15 problems in chapter 12-3: Analysis of Variance have been answered, more than 13283 students have viewed full step-by-step 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.

Key Statistics Terms and definitions covered in this textbook
• 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.

• Defects-per-unit 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.

• F-test

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.

• 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.

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