ISSN:0040-1706    

DOI:10.1080/00401706.1969.10490725

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

摘要:

Acceptance sampling plans based on the normal distribution have been available since 1955 and before. Yet reports of potential users indicate a general lack of enthusiasm for their application. There is the uncertainty of the assumption of the normal distribution, but the difficulties users have encountered are attributable more to the translation from the standardized deviate to proportion defective than with the probabilities involved. Some possible ways of adjusting for this are discussed.

ISSN:0040-1706    

DOI:10.1080/00401706.1969.10490726

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

摘要:

A standard problem of hypothesis testing and quality control requires a sampling plan for which the OC is at least 1 – α0if a parameter θ assumes the value θ0and is no more than β1if θ = θ1> θ0. The efficient procedure for obtaining such a plan with minimum sample size by using available tables has been described by Guenther [1]. When items are sampled one at a time, these procedures can be modified so as to quit sampling when the decision is obvious. Patil [5, 6] briefly discussed such plans for the binomial case. This paper contains not only a thorough discussion of the binomial case but includes the companion hypergeometric case as well, together with examples.

ISSN:0040-1706    

DOI:10.1080/00401706.1969.10490727

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1969.10490728

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

摘要:

This paper gives tables of the exact operating characteristic (O. C.) function, of the exact average sampler number (A. S. N.) function, and of the probability of termination at any step for certain one-sided truncated sequential tests of the mean of a normal distribution when the variance is known.

ISSN:0040-1706    

DOI:10.1080/00401706.1969.10490729

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1969.10490730

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

摘要:

The numerical technique of the maximum likelihood method to estimate the parameters of Gamma distribution is examined. A convenient table is obtained to facilitate the maximum likelihood estimation of the parameters and the estimates of the variance-covariance matrix. The bias of the estimates is investigated numerically. The empirical result indicates that the bias of both parameter estimates produced by the maximum likelihood method is positive.

ISSN:0040-1706    

DOI:10.1080/00401706.1969.10490731

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

摘要:

In calculating the variance of a mean or in constructing an approximateF-test, it is frequently necessary, particularly with unbalanced data, to form a linear function of mean squares,MS= Σai, where theaiare known constants. Satterthwaite [1] suggests that MS is approximately distributed asx2fE(MS)/ftwhere the degrees of freedom is estimated by,f= (MS)2/Σ[(aiMSi)2/fi], wherefiis the degrees of freedom associated withMSi. Satterthwaite remarks that caution should be used in applying this formula where some of theaiare negative. The primary purpose of this paper is to investigate the validity of Satterthwaite's procedure when someMSiare subtracted. Due to the mathematical complexity of the distribution ofMS, the problem is studied by a computer simulation.

ISSN:0040-1706    

DOI:10.1080/00401706.1969.10490732

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

摘要:

This paper treats the unfolding problem of estimating the density distribution of particles dispersed in a three-dimensional specimen. A general framework is set in terms of a probabilistic model for the distribution of a discrete number of particle sizes with prescribed shapes which are sampled and observed by processes capable of being modeled. The general formulation allows density estimates and standard deviation estimates for each particle size in the distribution to be made with data from observational processes that may distort or truncate the sampled information. The method is related to the earlier works on unfolding or estimating the density distribution of spherical particles sectioned by planar probes. The method is also used to develop a more accurate estimate for the density distribution of spherical voids where the observational process is the indirect microscopy of a replicated surface.

ISSN:0040-1706    

DOI:10.1080/00401706.1969.10490733

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor

摘要:

In many experimental situations, a large portion of mean squares (including the higher-order interactions) may contain real effects. This paper introduces chain pooling, a procedure that, tests for differences in treatment effects.

ISSN:0040-1706    

DOI:10.1080/00401706.1969.10490734

出版商:Taylor & Francis Group    

年代:1969

数据来源: Taylor