- 11.1.1: Statistical Literacy In general, are chi-square distributions symme...
- 11.1.2: Statistical Literacy For chi-square distributions, as the number of...
- 11.1.3: Statistical Literacy For chi-square tests of independence and of ho...
- 11.1.4: Critical Thinking In general, how do the hypotheses for chi-square ...
- 11.1.5: Psychology: Myers-Briggs The following table shows the Myers-Briggs...
- 11.1.6: Psychology: Myers-Briggs The following table shows the Myers-Briggs...
- 11.1.7: Archaeology: Pottery The following table shows site type and type o...
- 11.1.8: Archaeology: Pottery The following table shows ceremonial ranking a...
- 11.1.9: Ecology: Buffalo The following table shows age distribution and loc...
- 11.1.10: Psychology: Myers-Briggs The following table shows the Myers-Briggs...
- 11.1.11: Sociology: Movie Preference Mr. Acosta, a sociologist, is doing a s...
- 11.1.12: Sociology: Ethnic Groups After a large fund drive to help the Bosto...
- 11.1.13: Focus Problem: Archaeology The Focus the beginning of the chapter r...
- 11.1.14: Political Affiliation: Spending Two random samples were drawn from ...
- 11.1.15: Sociology: Methods of Communication Random samples of people ages 1...
Solutions for Chapter 11.1: CHI-SQUARE AND F DISTRIBUTIONS
Full solutions for Understandable Statistics | 9th Edition
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
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
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 attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.
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.
Conditional probability distribution
The distribution of a random variable given that the random experiment produces an outcome in an event. The given event might specify values for one or more other random variables
Another term for the conidence coeficient.
A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.
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 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 .
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.
Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t
Defects-per-unit control chart
See U chart
A probability distribution for a discrete random variable
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).
A study in which a sample from a population is used to make inference to the population. See Analytic study
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.
Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.