Binary as well as polytomous logistic models have been found useful for estimating odds ratios when the exposure of prime interest assumes unordered multiple levels under matched pair case-control design. In our earlier studies, we have shown the use of a polytomous logistic model for estimating...

This paper considers the problem of an acceptance sampling plan for a truncated life test when the lifetime follows the generalized Rayleigh distribution. For different acceptance numbers, confidence levels, and values of the ratio of the fixed experiment time to the specified mean life, the...

This paper establishes a sampling theory for an inverted linear combination of two dependent F-variates. It is found that the random variable is approximately expressible in terms of a mixture of weighted beta distributions. Operational results, including rth-order raw moments and critical...

This paper develops threshold models for developmental toxicity data. The distinguishing feature of these threshold models is their flexibility in modeling data below threshold with a U-shaped function if the data warrants. The method is applied to actual data from a developmental study which...

The effects of parameter estimation on the in-control performance of the Shewhart X chart are studied in prospective (phase 2 or stage 2) applications via a thorough examination of the attained false alarm rate (AFAR), the conditional false alarm rate (CFAR), the conditional and the...

Exact P values in the range 0.15-0.005 for the Anderson-Darling statistic can be calculated using the F distribution by modifying the asymptotic statistic A* with a simple formula. The formula calculates F* and P is calculated using [image omitted] .

To help settle the debate around the authorship of Tirant lo Blanc, we analyse the evolution of the diversity of the vocabulary used in that book, as measured through eight different diversity indices. The exploratory analysis reveals a clear single shift in diversity, that is estimated through...

A-optimality of block designs for control versus test comparisons in diallel crosses is investigated. A sufficient condition for designs to be A-optimal is derived. Type S0 designs are defined and A-optimal type S0 designs are characterized. A lower bound to the A-efficiency of type S0 designs...

This article shows a test for the spurious regression problem in a panel data model with a growing individual number and time series length. In the estimation, tapers are used and the integrated order for the remainder disturbance is extended to a real number; at the same time, the spurious...

The research described herein was motivated by a study of the relationship between the performance of students in senior high schools and at universities in China. A special linear structural equation model is established, in which some parameters are known and both the responses and the...