- Chapter 1: Introduction
- Chapter 10: Point Estimation
- Chapter 11: Interval Estimation
- Chapter 12: Hypothesis Testing
- Chapter 13: Tests of Hypothesis Involving Means, Variances, and Proportions
- Chapter 14: Regression and Correlation
- Chapter 15: Sums and Products
- Chapter 2: Probability
- Chapter 3: Probability Distributions and Probability Densities
- Chapter 4: Mathematical Expectation
- Chapter 5: Special Probability Distributions
- Chapter 6: Special Probability Densities
- Chapter 7: Functions of Random Variables
- Chapter 8: Sampling Distributions
- Chapter 9: Decision Theory
Mathematical Statistics with Applications 8th Edition - Solutions by Chapter
Full solutions for Mathematical Statistics with Applications | 8th Edition
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions
Bivariate normal distribution
The joint distribution of two normal random variables
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.
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.
A probability distribution for a continuous 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.
See Control chart.
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 .
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
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 probability distribution for a discrete random variable
Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.
Error mean square
The error sum of squares divided by its number of degrees of freedom.
The variance of an error term or component in a model.
Estimate (or point estimate)
The numerical value of a point estimator.
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.
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .