- 13.4.11 BSC: efer to the indicated data set in Appendix B and use the Wilcoxon r...
- 13.4.12 BSC: efer to the indicated data set in Appendix B and use the Wilcoxon r...
- 13.4.13 BB: Using the Mann-Whitney UTest The Mann-Whitney Utest is equivalent t...
- 13.4.14 BB: Finding Critical Values Assume that we have two treatments (A and B...
- 13.4.1 BSC: Arrival Delay Times Example 2 in this section used samples of depar...
- 13.4.2 BSC: Rank Sum After ranking the combined list of 24 arrival delay times,...
- 13.4.3 BSC: What Are We Testing? Refer to the sample data in Exercise. Assuming...
- 13.4.4 BSC: Efficiency Refer to Table 13-2 in Section 13-1 and identify the eff...
- 13.4.5 BSC: use the Wilcoxon rank-sum test.Arrival Delay Times Use the sample d...
- 13.4.6 BSC: use the Wilcoxon rank-sum test.Taxi-Out Times Listed below are samp...
- 13.4.7 BSC: use the Wilcoxon rank-sum test.Clinical Trials of Lipitor The sampl...
- 13.4.8 BSC: use the Wilcoxon rank-sum test.Radiation in Baby Teeth Listed below...
- 13.4.9 BSC: efer to the indicated data set in Appendix B and use the Wilcoxon r...
- 13.4.10 BSC: efer to the indicated data set in Appendix B and use the Wilcoxon r...
- 13.4.1BSC: Arrival Delay Times ?Example 2 in this section used samples of depa...
- 13.4.2BSC: Rank Sum ?After ranking the combined list of 24 arrival delay times...
- 13.4.3BSC: What Are We Testing? ?Refer to the sample data in Exercise. Assumin...
- 13.4.4BSC: Efficiency ?Refer to Table 13-2 in Section 13-1 and identify the ef...
- 13.4.5BSC: use the Wilcoxon rank-sum test. Arrival Delay Times Use the sample ...
- 13.4.6BSC: use the Wilcoxon rank-sum test. Taxi-Out Times ?Listed below are sa...
- 13.4.7BSC: use the Wilcoxon rank-sum test. Clinical Trials of Lipitor ?The sam...
- 13.4.8BSC: use the Wilcoxon rank-sum test. Radiation in Baby Teeth ?Listed bel...
- 13.4.9BSC: refer to the indicated data set in Appendix B and use the Wilcoxon ...
- 13.4.11BSC: refer to the indicated data set in Appendix B and use the Wilcoxon ...
- 13.4.12BSC: refer to the indicated data set in Appendix B and use the Wilcoxon ...
- 13.4.13BB: Using the Mann-Whitney UTest ?The Mann-Whitney ?U?test is equivalen...
- 13.4.14BB: Finding Critical Values ?Assume that we have two treatments (A and ...
Solutions for Chapter 13.4: Elementary Statistics 12th Edition
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).
a-error (or a-risk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).
Additivity property of x 2
If two independent random variables X1 and X2 are distributed as chi-square with v1 and v2 degrees of freedom, respectively, Y = + X X 1 2 is a chi-square random variable with u = + v v 1 2 degrees of freedom. This generalizes to any number of independent chi-square random variables.
Analysis of variance (ANOVA)
A method of decomposing the total variability in a set of observations, as measured by the sum of the squares of these observations from their average, into component sums of squares that are associated with speciic deined sources of variation
The portion of the variability in a set of observations that can be traced to speciic causes, such as operators, materials, or equipment. Also called a special cause.
A distribution with two modes
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.
Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.
The probability of an event given that the random experiment produces an outcome in another event.
Formulas used to determine the number of elements in sample spaces and events.
Another name for factors that are arranged in a factorial experiment.
Degrees of freedom.
The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.
Estimate (or point estimate)
The numerical value of a point estimator.
A property of a collection of events that indicates that their union equals the sample space.
The expected value of a random variable X is its long-term average or mean value. In the continuous case, the expected value of X is E X xf x dx ( ) = ?? ( ) ? ? where f ( ) x is the density function of the random variable X.
Fixed factor (or fixed effect).
In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.
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 .
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