摘要:

When two or more instruments or techniques are used to measure the same items, the measurement precisions may be estimated using a method proposed by Grubbs[1]. The problems of testing various hypotheses about the measurement precisions have been considered extensively by several authors for the case of two instruments, and some attention has been given to testing specific hypotheses involving three instruments. This paper proposes an approach to hypothesis testing when more than two instruments are involved. The proposed tests, based on large sample theory, are simple to apply.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489418

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

This paper discusses the use of interactive computing in APL for the design and analysis of an ad hoc experiment. As an example, a project involving a 16 × 4 × 2 experiment in 8 blocks of size 8 is reviewed. The desirability of utilizing single-degreeof-freedom pseudo-factors in both the design and analysis phases of such experiments is exhibited, and the detection of and compensation for heterogeneity of variance and outliers are discussed.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489419

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

This paper is concerned with the choice of the sampling interval for use in discrete regulatory control of processes subject to stochastic disturbances where the purpose is to maintain the process output as close as possible to some fixed target value. The analysis is restricted to single input-single output systems sampled at discrete equispaced intervals of time.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489420

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

The least squares estimation of parameters in algebraically implicit, nonlinear, multiple response modelshaving only one ezperimentally accessible response variableis treated within the context of a Gauss–Newton—Newton iteration. The algorithm, derived through application of the implicit function theorem to the model, is sufficiently general to cover Bayesian estimation of parameters for multiresponse data.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489421

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

Given fixed numbers of labeled objects on which training data can be obtained, how many variables should be used for a particular discriminant algorithm? This, of course, cannot be answeredin general since it depends on the characteristics of the populations, the sample sizes, and the algorithm. Some insight is gained in this article by studying Gaussian populations and five algorithms: linear discrimination with urlknown means and known covariance, linear discrimination with unknown means and unknown covariances, quadratic discrimination with unknown covariances and two nonparametric Bayes-type algorithms having density estimates using different, kernels (Gaussian and Cauchy).

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489422

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

In this paper we discuss testing hypotheses and interval estimation for the mean of the first passage time distribution in Brownian motion with positive drift (inverse Gaussian distribution). Optimum test procedures and confidence intervals for both one-sided and two-sided cases are derived in their exact forms, which utilize the percentage points of standard normal and Student'stdistributions. In thecase of an hypothesis with a two-sided alternative, it is shown that a uniformly most powerful (UMP) unbiased test is simply a two-tailed normal test if the nuisance parameter is known, and a two-tailed Student'sttest if it is unknown.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489423

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

The problem is considered of screening on a random variable correlated with the performance variable to increase acceptable product. Consider a stockpile with a given proportion meeting a set quality standard and the necessity to upgrade the stockpile by testing on a variable correlated with the variable of interest. For example, stcppose lifetime is the variable of interest. Clearly it would be useless to try to screen on the lifetime variable itself. However, if a variable correlated with lifetimes is available and a bivariate normal model is assumed then much can be done. If all of the paramctcrs are known, the solution is given by Owen, McIntire and Seymour [12], but if some of the parameters are unknown then some procedures for handling the problem are given here.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489424

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

The sample multiple correlation coefficient is often used to compare sets of independent variables with respect to how well they predict the future values of a dependent variable,Y. If the data are partially missing, the comparison often should reflect not only how correlated the predictors are withYbut also how likely they are to be observed. Thus, an independent variable that is highly correlated withYbut also is often missing is not as useful a predictor of futureYvalues as a less correlated but always observed independent variable. A generalization of the multiple correlation coefficient is defined which is appropriate when there are missing values but is identical to the multiple correlation coefficient when there are no missing values. An example of its use is presented.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489425

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

TheWtransformation greatly reduces the computational bruden in obtaining maximum likelihood estimates for the mixed A.O.V. model. However, effective optimization methods for maximizing the likelihood must comptlte the matrixWat each iteration. This paper develops an efficient Cholesky type algorithm for formingW.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489426

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

A method of constructing consistent estimators of optimum age replacement intervals from a random sample of lifetimes is given. The method depends on the availability of a uniformly strongly consistent estimator of the underlying distribution function. Such estimators considered are the MLE and MVUE of the Weibull and Gamma distribution functions with unknown scale parameters, the empirical distribution function, and the MLE under the restriction of increasing failure rate. Monte Carlo studies suggest that, in the parametric cases, the MLE is nearly as good as the MVUE unless the ssmple size is quite small and the population variance large. The estimates of the optimum age replacement interval in the nonparametric cases rarely differ, indicating that one may use the empirical distribution frmction with no serious loss of information.

ISSN:0040-1706    

DOI:10.1080/00401706.1976.10489427

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor