- 13.5.1 BSC: Effect of Lead on IQ Score Listed below are full IQ scores from sim...
- 13.5.2 BSC: Requirements Assume that we want to use the data from Exercise with...
- 13.5.3 BSC: Notation For the data given in Exercise, identify the values of n1,...
- 13.5.4 BSC: Efficiency Refer to Table 13-2 in Section 13-1 and identify the eff...
- 13.5.5 BSC: use the Kruskal - Wallis test.Triathlon Times Jeff Parent is a stat...
- 13.5.6 BSC: use the Kruskal - Wallis test.Clancy, Rowling, Tolstoy Readability ...
- 13.5.7 BSC: use the Kruskal - Wallis test.Car Crash Measurements Use the follow...
- 13.5.8 BSC: use the Kruskal - Wallis test.Highway Fuel Consumption Listed below...
- 13.5.9 BSC: use the Kruskal - Wallis test with the data set from Appendix B.IQ ...
- 13.5.10 BSC: use the Kruskal - Wallis test with the data set from Appendix B.Pas...
- 13.5.11 BSC: use the Kruskal - Wallis test with the data set from Appendix B.Nic...
- 13.5.12 BSC: use the Kruskal - Wallis test with the data set from Appendix B.Car...
- 13.5.13 BB: Correcting the H Test Statistic for Ties In using the Kruskal-Walli...
- 13.5.1BSC: Effect of Lead on IQ Score? Listed below are full IQ scores from si...
- 13.5.3BSC: Notation? For the data given in Exercise, identify the values of ?n...
- 13.5.5BSC: use the Kruskal - Wallis test?. Triathlon Times? Jeff Parent is a s...
- 13.5.6BSC: use the Kruskal - Wallis test?. Clancy, Rowling, Tolstoy Readabilit...
- 13.5.7BSC: use the Kruskal - Wallis test?. Car Crash Measurements? Use the fol...
- 13.5.8BSC: use the Kruskal - Wallis test?. Highway Fuel Consumption? Listed be...
- 13.5.9BSC: use the Kruskal - Wallis test with the data set from Appendix B?. I...
- 13.5.10BSC: use the Kruskal - Wallis test with the data set from Appendix B?. P...
- 13.5.11BSC: use the Kruskal - Wallis test with the data set from Appendix B?. N...
- 13.5.2BSC: use the Kruskal - Wallis test with the data set from Appendix B?. C...
- 13.5.13BB: Correcting the H Test Statistic for Ties In using the Kruskal-Walli...
Solutions for Chapter 13.5: Elementary Statistics 12th Edition
Full solutions for Elementary Statistics | 12th Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
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.
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
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.
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.
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.
The mean of the conditional probability distribution of a random variable.
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 term used for the quantity ( / )( ) 1 1 2 n xi i n ? = that is subtracted from xi i n 2 ? =1 to give the corrected sum of squares deined as (/ ) ( ) 1 1 2 n xx i x i n ? = i ? . The correction factor can also be written as nx 2 .
In the most general usage, a measure of the interdependence among data. The concept may include more than two variables. The term is most commonly used in a narrow sense to express the relationship between quantitative variables or ranks.
A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the off-diagonal elements are the covariances between Xi and Xj . Also called the variance-covariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.
Another name for factors that are arranged in a factorial experiment.
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
A property of a collection of events that indicates that their union equals the sample space.
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.
Fractional factorial experiment
A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.
A function used in the probability density function of a gamma random variable that can be considered to extend factorials
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.