Assessing Lund's critical values for testing for outliers in linear regression models

This note assesses Lund's critical bounds as approximations to the critical values of a size-a test for detecting single outlier in a multiple linear regression model. A Monte Carlo experiment shows that the empirical sizes are very close to the nominal sizes, and the regressors have little effect on the empirical sizes. Lund's tables are revised to higher accuracy.     

A GOODNESS OF FIT TEST BASED ON THE LINKED LINE CHART1

In this paper, we propose a graphical representation of data and a test statistic based on it for testing the goodness of fit of a completely specified null distribution. The graph is constructed as a linked line chart given by vectors which reflect the pattern of order statistics. The test statistic is defined as an area defined by our chart and its asymptotic distribution is derived under the null hypothesis. Computer simulations performed to study the power properties of our chart indicate that the test is powerful for scale alternatives. Furthermore, it is shown that our test is closely related to the Watson test.     

ON RESOLVABLE INCOMPLETE BLOCK DESIGNS1

A method of constructing resolvable incomplete block designs for v(=ks, 2 ≤ k ≤ s - 1) treatments in blocks of size k using mutually orthogonal Latin squares is proposed. It has been seen in particular that when the number of replications is s — 1 (or s), which is feasible if s is a prime or a prime power, the method gives PBIB (3) (or semi-regular GD) designs. The analysis of such designs has also been discussed.     

On the number of separable partitions

Consider partitions of a given set A of n distinct points in general position in ℝ ^d into parts where each pair of parts can be separated by a hyperplane that contains a given set of points E. We consider the problem of counting and generating all such partitions (correcting a classic 1967 result of Harding about the number of such partitions into two parts). Applications of the result to partition problems are presented.     

Distributions of the lifetimes of system components operating under an unknown common environment

SUMMARY Families of joint distributions for describing the lifetimes of a system of components that operate under an unknown environment, when the environment follows a Weibull distribution, are derived. The reliability function for this system is calculated and several properties of the aforementioned joint distributions are investigated.     

PARENTAL INFLUENCE ON GENDER AND MARITAL ROLE ATTITUDES: IMPLICATIONS FOR INTERVENTION

This study examined parental influence on specific attitudes toward marital and parental roles and nonspecific gender-role attitudes. Respondents included 173 young adults (127 women and 46 men) and their parents. Young adults' scores on the Role Orientation scale of the Marital Statisfaction Inventory and on masculinity and femininity scales from two self-report inventories (the MMPI-2 and the Personal Attributes Questionnarie) were correlated with their parents' scores on a subset of these same measures. Results indicated that (a) marital and parental role attitudes among young adults are strongly related to specific marital role attitudes of their parents but only modestly related (for women) or unrelated (for men) to nonspecific gender-role attitudes of their parents; (b) broader gender-role attitudes of young men are moderately correlated with their father's attitudes but generally uncorrelated with their mother's attitudes regarding gender roles; and (c) the relationship of young women's gender-role attitudes to both maternal and paternal attitudes is generally weaker and more complex than for young men. Clinical implications of these findings for assessment and intervention with distressed couples are discussed.