Solutions by ChapterTextbook: First Course in ProbabilityEdition: 8Author: Norman S. NiseISBN: 9780136033134
This textbook survival guide was created for the textbook: First Course in Probability, edition: 8. Since problems from 10 chapters in First Course in Probability have been answered, more than 29776 students have viewed full step-by-step answer. The full step-by-step solution to problem in First Course in Probability were answered by , our top Statistics solution expert on 11/23/17, 05:06AM. This expansive textbook survival guide covers the following chapters: 10. First Course in Probability was written by and is associated to the ISBN: 9780136033134.
- 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
- Assignable cause
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.
- Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
- Bias
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
- Causal variable
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
- 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 density function
The probability density function of the conditional probability distribution of a continuous random variable.
- Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
- Covariance
A measure of association between two random variables obtained as the expected value of the product of the two random variables around their means; that is, Cov(X Y, ) [( )( )] =? ? E X Y ? ? X Y .
- Crossed factors
Another name for factors that are arranged in a factorial experiment.
- Defects-per-unit
control chart
See U chart
- Design matrix
A matrix that provides the tests that are to be conducted in an experiment.
- Error mean square
The error sum of squares divided by its number of degrees of freedom.
- Error propagation
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.
- Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a model-itting process and not on replication.
- Expected value
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.
- Exponential random variable
A series of tests in which changes are made to the system under study
-
F distribution.
The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.
- Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
- Generator
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.
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