摘要:

This article presents a class of attribute sampling plans based on the theory of runs. These plans call for the acceptance of a process if a run of specified length of nondefective items occurs before a fixed number of defectives have been observed. Recursion formulas for the probabilities of rejection and acceptance at each stage of sampling are derived. The operating characteristic (OC) curves, the average sample number (ASN) curves. and the variance of sample number (VSN) curves are given for representative plans within the class. This new class of plans is compared with a sequential plan and with a related sampling plan, also based on the theory of runs, which accepts a process if a run of specified length of nondefective items occurs in a fixed number of trials.

ISSN:0040-1706    

DOI:10.1080/00401706.1979.10489744

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

When exploring response surfaces in spherical regions. rotatable designs possess the property that the estimated response has a constant variance at points which are equidistant from the center of the design, in other words, the precision is constant on spheres. In three-component or ternary mixture systems where the experimental region is an equilateral triangle, it would be desirable to have the predicted response possess constant variance on each triangle of a set of concentric interior triangles. This paper presents a mapping function which maps two-dimensional concentric circles onto concentric equilateral triangles. The property of a constant variance on the circle in a family of concentric circles is preserved under the mapping resulting in the variance being constant on the equilateral triangle onto which the circle is mapped. The method is illustrated using data from a three-component sensory testing experiment and the extension to higher dimensional cases is outlined briefly.

ISSN:0040-1706    

DOI:10.1080/00401706.1979.10489745

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

Published procedures for mixture experimentation in the presence of process variables arc reviewed. Procedures which inscribe figures in the mixture space result in lower numbers of experiments but are limited because they do not permit full exploration of the mixture space. In this paper, alternative procedures which minimize the loss of the mixture space are presented. Eight cases representing all combinations of the following are considered: three and four mixture variables, with and without a center point of interest in the mixture space, and with and without constraints on compositions. Solutions are lists of coordinates of the vertices of the cuboidal regions inscribed in the mixture space. Transformations which facilitate linking the mixture space with the factor space of the independent variables are also presented.

ISSN:0040-1706    

DOI:10.1080/00401706.1979.10489746

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

A nonparametric procedure is developed for the problem of quickly detecting any shift in the mean of a sequence of observations from a specified control value. The proposed procedure is based on Wilcoxon signed-rank statistics where ranking is within groups. A cumulative sum control chart type stopping rule is used with the Wilcoxon statistics. Using a Markov chain approach, the average run length of the procedure can be computed exactly for any distribution for which the distribution of the Wilcoxon signed-rank statistic is known. The procedure has the same average run length for any continuous distribution which is symmetric about the control value.

ISSN:0040-1706    

DOI:10.1080/00401706.1979.10489747

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

A method is developed for determining upper bounds for the quantiles of the distribution of the maximum of a fixed or random number of positive variates which are positively orthant dependent. (Such bounds are of practical interest e.g. as in setting the design codes of structures which must sustain random loads.) The bounds obtained using the method will be quite conservative unless the variates themselves are bounded. If they are bounded and the number of variates is fixed and large and/or the quantile desired is extremely high, the bound will approximate the true quantile of the Type 111 limiting distribution obtained by Gumbel [5]. Unlike Gumbel's asymptotic result, this method may be applied when the number of variates is small and so avoids some ambiguity about its applicability. On the other hand it is more complicated since it involves an application of a basic inequality for random variables.

ISSN:0040-1706    

DOI:10.1080/00401706.1979.10489748

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

An objective procedure for the detection of outliers is given by using Akaike's information criterion. Numerical illustrations are given, using data from Grubbs [8] and Tietjen and Moore [7].

ISSN:0040-1706    

DOI:10.1080/00401706.1979.10489749

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

A four-parameter probability distribution, which includes a wide variety of curve shapes, is presented. Because of the flexibility, generality, and simplicity of the distribution, it is useful in the representation of data when the underlying model is unknown. A table based on the first four moments, which simplifies parameter estimation, is given. Further important applications of the distribution include the modeling and subsequent generation of random variates for simulation studies and Monte Carlo sampling studies of the robustness of statistical procedures.

ISSN:0040-1706    

DOI:10.1080/00401706.1979.10489750

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

ISSN:0040-1706    

DOI:10.1080/00401706.1979.10489751

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

When a point is lost from a complete 2nfactorial the variance efficiencies of the estimates of the effects may be reduced by as much as 50%. The loss is not so great if the interactions with (n− 1) factors are ignored. This phenomenon is also investigated for some fractional factorials. If in a minimal resolution IV design a pair of complementary points is lost the resulting design has resolution II. It is sometimes possible for the experimenter to save his experiment by running the missing points later in a separate block together with duplications of some of the other points; this situation is discussed in a later section.

ISSN:0040-1706    

DOI:10.1080/00401706.1979.10489752

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

This paper studies truncated sequential tests with exponential lifetimes. In the paper. we present a new procedure for computing the operating characteristic curve and the average time to terminate the test. The procedure differs from those proposed by Aroian. and by Woodall and Kurkjian. It directly extends to more complex boundaries. A comparative example is given at the end.

ISSN:0040-1706    

DOI:10.1080/00401706.1979.10489753

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor