- 15.7.38: A randomized block design is used tocompare three treatments in six...
- 15.7.39: A randomized block design is used tocompare four treatments in eigh...
- 15.7.40: Supermarket Prices In Exercise 11.43(and data set EX1143), we compa...
- 15.7.41: Toxic Chemicals An experiment wasconducted to compare the effects o...
- 15.7.42: Good Tasting Medicine In a study ofthe palatability of antibiotics ...
Solutions for Chapter 15.7: The Friedman Fr-Test for Randomized Block Designs
Full solutions for Introduction to Probability and Statistics 1 | 14th Edition
2 k factorial experiment.
A full factorial experiment with k factors and 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.
All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
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.
Coeficient of determination
See R 2 .
Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.
Another term for the conidence coeficient.
Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
Defects-per-unit control chart
See U chart
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
Another name for a cumulative distribution function.
A series of tests in which changes are made to the system under study
Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.
The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.
Fractional factorial experiment
A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.