- 13-3.1: What are the minimum sample sizes for theWilcoxon rank sum test? n1...
- 13-3.2: What are the parametric equivalent tests for the Wilcoxon rank sum ...
- 13-3.3: What distribution is used for the Wilcoxon rank sum test? The stand...
- 13-3.4: Lengths of Prison Sentences A random sample of men and women in pri...
- 13-3.5: Technology Proficiency Test The following are scores from a technol...
- 13-3.6: Lifetimes of Handheld Video Games To test the claim that there is n...
- 13-3.7: Stopping Distances of Automobiles A researcher wishes to see if the...
- 13-3.8: Winning Baseball Games For the years 19701993 the National League (...
- 13-3.9: Hunting Accidents A game commissioner wishes to see if the number o...
- 13-3.10: Medical School Enrollments Samples of enrollments from medical scho...
- 13-3.11: Speed of Pain Relievers Volunteers were randomly assigned to one of...
Solutions for Chapter 13-3: The Wilcoxon Rank Sum Test
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
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
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study
Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.
See Arithmetic mean.
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
In experimental design, a group of experimental units or material that is relatively homogeneous. The purpose of dividing experimental units into blocks is to produce an experimental design wherein variability within blocks is smaller than variability between blocks. This allows the factors of interest to be compared in an environment that has less variability than in an unblocked experiment.
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
A probability distribution for a continuous random variable.
In regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.
Another name for factors that are arranged in a factorial experiment.
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
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
Another name for a cumulative distribution function.
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.
A subset of a sample space.
Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.