- 13-4.1: Arrival Delay Times Example 2 in this section used samples of depar...
- 13-4.2: Rank Sum After ranking the combined list of 24 arrival delay times,...
- 13-4.3: . What Are We Testing? Refer to the sample data in Exercise 1. Assu...
- 13-4.4: Efficiency Refer to Table 132 in Section 131 and identify the effic...
- 13-4.5: Wilcoxon RankSum Test. In Exercises 58, use the Wilcoxon ranksum te...
- 13-4.6: Wilcoxon RankSum Test. In Exercises 58, use the Wilcoxon ranksum te...
- 13-4.7: Wilcoxon RankSum Test. In Exercises 58, use the Wilcoxon ranksum te...
- 13-4.8: Wilcoxon RankSum Test. In Exercises 58, use the Wilcoxon ranksum te...
- 13-4.9: Appendix B Data Sets. In Exercises 912, refer to the indicated data...
- 13-4.10: Appendix B Data Sets. In Exercises 912, refer to the indicated data...
- 13-4.11: Appendix B Data Sets. In Exercises 912, refer to the indicated data...
- 13-4.12: Appendix B Data Sets. In Exercises 912, refer to the indicated data...
- 13-4.13: Using the MannWhitney U Test The MannWhitney U test is equivalent t...
- 13-4.14: Finding Critical Values Assume that we have two treatments (A and B...
Solutions for Chapter 13-4: Wilcoxon RankSum Test for Two Independent Samples
Full solutions for Elementary Statistics | 12th Edition
`-error (or `-risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
Central composite design (CCD)
A second-order response surface design in k variables consisting of a two-level factorial, 2k axial runs, and one or more center points. The two-level factorial portion of a CCD can be a fractional factorial design when k is large. The CCD is the most widely used design for itting a second-order model.
Coeficient of determination
See R 2 .
Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
A linear function of treatment means with coeficients that total zero. A contrast is a summary of treatment means that is of interest in an experiment.
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the off-diagonal elements rij are the correlations between Xi and Xj .
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
Another name for a probability density function
Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.
Fisher’s least signiicant difference (LSD) method
A series of pair-wise hypothesis tests of treatment means in an experiment to determine which means differ.