Fundamental Concepts in the Design of Experiments, Fifth Edition

Glossary of Terms

A

Alias
An effect in a fractionally replicated design that "looks like" or cannot be distinguished from another effect.
Alpha (?)
The size of the type I error, or the probability of rejecting a hypothesis when true.
Autocorrelation Coefficient
A correlation between measures within the same sample in the order taken.

B

Beta (?)
The size of the type II error, or the probability of accepting a hypothesis when some alternative hypothesis is true.

C

Canonical Form
A form of second-degree response surface equation that allows determination of the type of surface.
Completely Randomized Design
A design in which all treatments are assigned to the experimental units in a completely random manner.
Confidence Limits
Two values between which a parameter is said to lie with a specified degree of confidence.
Confounding
An experimental arrangement in which certain effects cannot be distinguished from others. One such effect is usually blocks.
Consistent Estimator
An estimator of a parameter whose values comes closer to the parameter as the sample size is increased.
Contrast
A linear combination of treatment totals or averages in which the sum of the coefficient is zero.
Correlation Coefficient (Pearson r)
The square root of the proportion of total variation accounted for by simple linear regression, with the sign of the slope of the least squares line.
Correlation Index R
the square root of the proportion of total variation accounted for by the regression equation of the degree being fitted to the data.
Covariance Analysis
A...

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