New Lilliefors and Srinivasan tables with applications

Two approaches to the problem of goodness-of-fit with nuisance parameters are presented in this paper, both based on modifications of the Kolmogorov-Smirnov statistics. Improved tables of critical values originally computed by Lilliefors and Srinivasan are presented in the normal and exponential cases. Also given are tables for the uniform case, normal with known mean and normal with known variance. All tables were computed using Monte Carlo simulation with sample size n = 20000.     

On asymptotic distribution of the test statistic for the mean of the non-isotropic principal component

In this paper, the authors derived the large sample distribution of the t statistic based upon the observations on the first principal component instead of the original variables. It is shown that the above statistic is distributed asymptotically as Student's t distribution.     

Daily reports of distress: Not for women only

Abstract

A context-dependence paradigm was developed for research into effects of the menstrual cycle in women. This involved the investigation of situational effects on self-reported distress in both men and women. For 35 consecutive days, 25 women and 36 men working in two occupations that varied in degree of situational stress completed Body Awareness Questionnaires (modified menstrual distress questionnaires) and daily subjective stress ratings. After controlling for contraceptive use, age range, and percentage of body fat, the following variables were selected for a multiple regression analysis as predictors of distress: (a) job stress, (b) feminine values, (c) life stress, (d) subjective stress, (e) type of job, (f) sex, (g) job experience, and (h) history of menstrual distress. Women working in the high-stress job (military police) reported significantly more distress than all the other groups. Life stress was identified as the dominant predictor of distress. In a separate analysis of daily distress scores and menstrual cycle phases for all the women, there was no interaction between the type of job and the menstrual cycle phase on reports of distress. A similar analysis of the effects on sex and shift revealed shift effects in distress for men but not women. Sources of variability for both sexes (shift-work rotation and cycle phase) are discussed.     

Supply chain management: a supplier perspective

A new way of researching into supply chain management is introduced by adopting a supplier perspective. Details are given of mixed integer linear planning and simulation models. The planning model takes into consideration firm and forecast orders (customer's forecast purchasing orders) and the behaviour of the supplier's suppliers and suppliers' subcontractors. The simulation model takes into account the dynamic behaviour of the supply chain and includes the planning production behaviour of a supplying company based on the planning model. The supplier manager can use the simulation model to determine what kind of parameters most affect company performances and then propose new management rules. Quantitative results that prove the benefits of integrating forecast orders for an aeronautic supplier have been provided.     

Use of Scanning Research in Decision Making: An Examination of the Environmental Imperative and Power-Control Perspective

Environmental uncertainty provides the context for public relations practices. Arguably, environmental uncertainty leads to greater organizational responsiveness to those environments through strategic planning. This survey of 505 American Public Relations Society of America members indicated, however, that perceived environmental conditions were less important to management decision-making than how those conditions were translated or packaged as decision-making inputs through formal environmental scanning mechanisms. Environmental uncertainty had no impact on decision making, once the mediating influence of formal scanning was controlled.     

The Economic Efficiency of Sampling Size: The Case of Beef Trim

The economically optimal sample size in a food safety test balances the marginal costs and marginal benefits of increasing the sample size. We provide a method for selecting the sample size when testing beef trim for Escherichia coli O157:H7 that equates the averted costs of recalls and health damages from contaminated meats sold to consumers with the increased costs of testing while allowing for uncertainty about the underlying prevalence rates of contamination. Using simulations, we show that, in most cases, the optimal sample size is larger than the current sample size of 60 and, in some cases, it exceeds 120. Moreover, lots with a lower prevalence rate have a higher expected damage because contamination is more difficult to detect. Our simulations indicate that these lots have a higher optimal sampling rate.     

An introduction to relationship algebras

Since the introduction and definition of relationship algebras by James (1957), rolatively little use has been made of this theory in experimental design and analysis problems This may be due to the underlying theory of relationship algebras being previously accessible only in books on mathematical structure theory, e.g. van der Waerden (1950) This paper provides a development of the theory of relationship algebras beginning at an elementray level and including only those parts of mathematical structure theory which are essential to this development. An example of its application in derving an analysis due to alling (1967) is presented.