A general method of constructing E(s2)-optimal supersaturated designs

There has been much recent interest in supersaturated designs and their application in factor screening experiments. Supersaturated designs have mainly been constructed by using the E ( s ²)-optimality criterion originally proposed by Booth and Cox in 1962. However, until now E ( s ²)-optimal designs have only been established with certainty for n experimental runs when the number of factors m is a multiple of n-1 , and in adjacent cases where m = q ( n -1) + r (| r | 2, q an integer). A method of constructing E ( s ²)-optimal designs is presented which allows a reasonably complete solution to be found for various numbers of runs n including n ,=8 12, 16, 20, 24, 32, 40, 48, 64.     

The peculiar shrinkage properties of partial least squares regression

Partial least squares regression has been widely adopted within some areas as a useful alternative to ordinary least squares regression in the manner of other shrinkage methods such as principal components regression and ridge regression. In this paper we examine the nature of this shrinkage and demonstrate that partial least squares regression exhibits some undesirable properties.     

A frequency domain comparison of estimation methods for gaussian fields

This paper demonstrates that well-known parameter estimation methods for Gaussian fields place different emphasis on the high and low frequency components of the data. As a consequence, the relative importance of the frequencies under the objective of the analysis should be taken into account when selecting an estimation method, in addition to other considerations such as statistical and computational efficiency. The paper also shows that when noise is added to the Gaussian field, maximum pseudolikelihood automatically sets the smoothing parameter of the model equal to one. A simulation study then indicates that generalised cross-validation is more robust than maximum likelihood un-

der model misspecification in smoothing and image restoration problems. This has implications for Bayesian procedures since these use the same weightings of the frequencies as the likelihood.     

Interdistributional Income Inequality

Incomplete moments are used to characterize income inequality and provide the basis for interdistributional Lorenz curves. Four measures of interdistributional inequality are considered and seen to be related to an interdistributional welfare interpretation. Based upon these measures, there has been a significant secular decline in interdistributional inequality between blacks and whites over the past 30 years.     

Continuous outcomes stochastically mismeasured as discrete random variables: a maximum likelihood approach

In an economic model of retirement behavior, a continuous dependent variable was required; the variable could only be estimated discretely with error, however. Parameter estimates using this dependent variable and ordinary least squares regression are inefficient. In th is paper, we develop a maximum likelihood procedure which adjusts for this heteroscedasticity.     

A Circumplex Model of Couple Configurations in Relational Trauma Context: An Example of Practice‐Based Model Development

We propose a circumplex model and typology of patterns of couple engagement to help therapists assess and shape positive couple engagement, prerequisite to successful resolution of relational trauma. View or value of self in relation to other (VSIRO) is conceived as a primary engine organizing couple relationships and patterns of engagement. VSIRO is conceptualized along a continuum anchored at opposite poles by inflated (self‐aggrandizing) versus collapsed (self‐negating) VSIRO, with a balanced (egalitarian) VSIRO as the target position, consisting of self and other mutuality, respect, and equality. Two axes (one for each partner) form the circumplex model of five couple configurations—four quadrants plus a balanced, mid‐axes region. Using couple configuration conceptualization to address patterns of engagement is an essential prerequisite to resolving couple relational trauma.     

THE EFFECT OF THE FOOD STAMP PROGRAM ON NUTRIENT INTAKE

Receipt of food stamps is often observed to be positively correlated with intake of nutrients. However, this observed fact could be the result of self-selection into the food stamp program by those individuals who are more interested in maintaining good nutrition. We observe that, controlling for participation in the food stamp program, nutrition is negatively affected by food stamp income for a sample of elderly people. However, we find that the levels of nutrients do not decrease enough to cause individuals to fall below the Recommended Dietary Allowance.