- 15.1: The division from which the winner of the National Basketball Assoc...
- 15.2: An introductory statistics instructor believes that the median numb...
- 15.3: A physical therapist wants to investigate whether a new exercise pr...
- 15.4: . A researcher wants to know whether or not the median pH of rain n...
- 15.5: Crickets make a chirping noise by sliding their wings rapidly over ...
- 15.6: The Insurance Institute for Highway Safety conducts experiments in ...
- 15.7: Explain what it means if a nonparametric test has an efficiency of ...
Solutions for Chapter 15: Nonparametric Statistics
Full solutions for Statistics: Informed Decisions Using Data | 4th Edition
Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
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
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).
The mean of the conditional probability distribution of a random variable.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the in-control value of the parameter that is being monitored and lower and upper control limits. The control limits are determined by statistical criteria and are not arbitrary, nor are they related to speciication limits. If sample points fall within the control limits, the process is said to be in-control, or free from assignable causes. Points beyond the control limits indicate an out-of-control process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.
A dimensionless measure of the linear association between two variables, usually lying in the interval from ?1 to +1, with zero indicating the absence of correlation (but not necessarily the independence of the two variables).
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
Another name for a probability density function
A matrix that provides the tests that are to be conducted in an experiment.
The amount of variability exhibited by data
Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
A subset of a sample space.
Exponential random variable
A series of tests in which changes are made to the system under study
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.
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
In multiple regression, the matrix H XXX X = ( ) ? ? -1 . This a projection matrix that maps the vector of observed response values into a vector of itted values by yˆ = = X X X X y Hy ( ) ? ? ?1 .