- 11.7.1: Consider a computer system that is subject to periodic diagnosis an...
- 11.7.2: Refit the data of problem 1 of Section 11.2, to the curvey = a1mb1 ...
Solutions for Chapter 11.7: Simple Nonlinear Regression
Full solutions for Probability and Statistics with Reliability, Queuing, and Computer Science Applications | 2nd 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).
A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
The joint probability distribution of two random variables.
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
Coeficient of determination
See R 2 .
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
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
In regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
A matrix that provides the tests that are to be conducted in an experiment.
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).
Error mean square
The error sum of squares divided by its number of degrees of freedom.
A series of tests in which changes are made to the system under study
A signal from a control chart when no assignable causes are present