In testing hypotheses involving order restrictions on a collection of parameters, distributions arise which are mixtures of standard distributions. Since tractable expressions for the mixing...
On Measuring the Conformity of a Parameter Set to a Trend, with Applications. (2002)
Consider the hypothesis H(1):theta(1) > or = theta(2) > or = ... > or = theta(k) regarding a collection, theta(1), theta(2),...theta(k), of unknown parameters. It is clear that this trend is...
Likelihood ratio tests concerning the parameters of two multinomial populations are discussed. A stochastic ordering restriction is considered as a one sided alternative to equality. The one and two...
Remarks Concerning Chase's Results on Testing for Ordered Alternatives. (2002)
Chase (Biometrika (1974)) found a good approximation for the chi-bar-square and E-bar-square distributions for an important special case. These distributions are fundamental to the theory of order...
One-Sided Comparisons for Treatments with a Control. (2002)
Distribution theory for likelihood ratio statistics for the comparison of several treatments with a control is discussed. These test statistics account for prior information that the treatments are...
A Fortran Program for the Level Probabilities of Order Restricted Inference. (2002)
Pillers,Carolyn, Robertson,Tim, Wright,F. T.
The level probabilities of order restricted inference are fundamental to that theory; their values are the probabilities that the order restricted, maximum likelihood estimates of normal means assume...
On the Power Functions of Test Statistics in Order Restricted Inference. (2002)
Mukerjee,H., Robertson,T., Wright,F. T.
We study the power functions of both the likelihood ratio and contrast statistics for detecting a totally ordered trend in a collection of means of normal populations. Monotonicity properties are...
Power Series Approximations to the Null Distributions of Some Chi-Bar-Square Statistics. (2002)
Some power series approximations to the exact null distribution of the Chi-bar-square statistic for several testing situations are developed using the first four cumulants of the null distributions,...
CONVERGENCE RATES FOR WEIGHTED SUMS OF RANDOM VARIABLES. (1998)
Hanson,David L., Brunn,H. D., Engelhardt,Maxwell, Mann,Charles R., Wright,F. T.
Let X sub 1, X sub 2, ... be independent random variables and let a sub (nk) be constants. Let S sub n = 1/n (Summation from k=1 to k=n of (X sub k - EX sub k)) and let A sub n = Summation from k=1...
The use of the distribution theory developed for order restricted inference has been limited by the lack of computation algorithms for the 'level probabilities' encountered in that theory. An...
The Negative Binomial Process with Applications to Reliability, (1998)
Sponsored in part by Grant NSF-MCS-78-01514.
Robust Estimates of Ordered Parameters. (1998)
The authors the estimation of a collection of location parameters when it is believed, a priori, that their ordering is known. The least squares and least absolute deviations estimates subject to...
Tests for and against Trends Among Poisson Intensities. (1998)
Suppose one observes independent Poisson processes with unknown intensities lambda sub: i = 1,2,...,k, and that apriori it is believed that these intensities satisfy a known ordering. For preliminary...
Tests for an Increasing Trend in the Intensity of a Poisson Process: A Power Study. (1998)
Bain,Lee J., Engelhardt,Max, Wright,F. T.
A number of tests are compared for testing the hypothesis of a constant intensity against the alternative of an increasing intensity function in a nonhomogeneous Poison process (NHPP). The powers of...
A Measure of the Conformity of a Parameter Set to a Trend: The Partially Ordered Case. (1998)
Inferences concerning order restrictions on a collection of parameters are considered with the order restrictions of a form. Clearly, some parameter sets conform more closely to these order...
Distribution theory for the likelihood ratio statistics for the comparison of several treatments with a control is discussed. These test statistics account for prior information that the treatments...
Typescript.
Bayesian multiple comparisons of simply ordered means using priors with a point mass
Comparison of k treatment means under the simple-order assumption ([mu]1