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Robust Rank Analysis For Multivariate Linear Models, James Buddy Davis

Dissertations

Three robust rank procedures are considered to test the multivariate linear hypothesis HBK = 0. In the least squares setting, the Lawley-Hotelling trace criterion provides a UMP when the covariance structure is known. Our work reflects the theoretical structure of the Lawley-Hotelling test with robust rank analogues.

The Lawley-Hotelling test has an asymptotic chi-square distribution when the covariance structure is estimated. The trace criterion can be written in three algebraically equivalent forms: a quadratic test based on full model estimates, a quadratic test based on reduced model residuals and a test based on the drop in the least squares dispersion …

A Logic Programming Model Of The Game Of Sprouts, Ralph M. Butler, Selden Y. Trimble, Ralph W. Wilkerson

Computer Science Faculty Research & Creative Works

The Game of Sprouts Has Intrigued Mathematicians for Nearly Twenty Years. This Paper Describes a Representation Scheme Which Simplifies Much of the Geometry of the Game. using This Representation, We Develop a Prolog Program Which Will Play Sprouts. It is Hoped that the Program Will Prove to Be a Useful Research Tool in Finding the Key to a Winning Strategy for Sprouts and that the Representation Will Serve as a Useful Model for Studying Planar Graphs.

A Logic Programming Model Of The Game Of Sprouts, Ralph M. Butler, Selden Y. Trimble, Ralph W. Wilkerson

Computer Science Faculty Research & Creative Works

The Game of Sprouts Has Intrigued Mathematicians for Nearly Twenty Years. This Paper Describes a Representation Scheme Which Simplifies Much of the Geometry of the Game. using This Representation, We Develop a Prolog Program Which Will Play Sprouts. It is Hoped that the Program Will Prove to Be a Useful Research Tool in Finding the Key to a Winning Strategy for Sprouts and that the Representation Will Serve as a Useful Model for Studying Planar Graphs. © 1987, ACM. All Rights Reserved.

Generalizations Of The Sidon-Telyakovskii Theorem, Caslav V. Stanojevic, Vera B. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

The well-known Sidon-Telyakovskii integrability condition is considerably lightened as follows. © 1987 American Mathematical Society.

Typically Real Functions And Typically Real Derivatives, S. Y. Trimble

Mathematics and Statistics Faculty Research & Creative Works

Sufficient conditions, in terms of typically real derivatives, are given which force functions to be univalent. © 1987, Hindawi Publishing Corporation. All rights reserved.

Three Partition Refinement Algorithms, Robert Paige L., Robert Endre Tarjan

Mathematics and Statistics Faculty Research & Creative Works

We present improved partition refinement algorithms for three problems: lexicographic sorting, relational coarsest partition, and double lexical ordering. Our double lexical ordering algorithm uses a new, efficient method for unmerging two sorted sets.

Fisheries Report No 75 - The Commercial Shark Fishery In Temperate Waters Of Western Australia, D. I. Heald

Fisheries Research Reports

The Western Australian-based mixed gear fishery for edible shark generally operates from Geraldton to Esperance in waters shallower than 10 fm to a maximum depth of 100 fm. In 1983/84, the total catch was 1262 tonnes live weight. The total shark catch was taken by 158 gillnet boats, 45 longline boats and 152 handline boats. However, nearly two thirds (62%) of these boats caught 1 tonne or less in 1983/84 and were assumed to rely more heavily on other target fisheries than shark.

Of the 20 or so species of shark caught in W.A., 3 species together comprise two thirds …

Ua56/1 Fact Book, Wku Institutional Research

WKU Administration Documents

Statistical and demographic profile of WKU.

Meta Analysis: Cumulating Research Findings Across Studies By John E Hunter, Frank L. Schmidt And Gregg B. Jackson, New Delhi: Sage Publication, 1982., T Krishna Kumar

IIMB Management Review

No abstract provided.

Limit Theorems In The Area Of Large Deviations For Some Dependent Random Variables, Narasinga Rao Chaganty, Jayaram Sethuraman

Mathematics & Statistics Faculty Publications

A magnetic body can be considered to consist of n sites, where n is large. The magnetic spins at these n sites, whose sum is the total magnetization present in the body, can be modelled by a triangular array of random variables (X(n) 1,..., X(n) n). Standard theory of physics would dictate that the joint distribution of the spins can be modelled by dQ_n(x) = z_n^-1 exp[ -H_n(x)]Π dP(x_j), where x = (x₁,..., x_n) ∈ Rⁿ, where H_n is the Hamiltonian, z_n is …

Statistical Analysis Of A Compound Power-Law Model For Repairable Systems, Max Engelhardt, Lee J. Bain

Geosciences and Geological and Petroleum Engineering Faculty Research & Creative Works

Conclusions - A compound (mixed) Poisson distribution is sometimes used as an alternative to the Poisson distribution for count data. Such a compound distribution, which has a negative binomial form, occurs when the population consists of Poisson distributed individuals, but with intensities which have a gamma distribution. A similar situation can occur with a repairable system when failure intensities of each system are different. A more general situation is considered where the system failures are distributed according to nonhomogeneous Poisson processes having Power Law intensity functions with gamma distributed intensity parameter. If the failures of each system in a population …

Assessment Of Influence That The Church Of Jesus Christ Of Latter-Day Saints Has On Exercise Habit Of Members Living In Utah County, Gary L. Preston

Theses and Dissertations

This study identified and analyzed the influence the Church of Jesus Christ of Latter-day Saints had on the decision of 309 respondents to exercise. The data obtained from the questionaires were analyzed using chi-square to compare males and females. Within the limitations of this study, the following conclusions were justified: women were more influenced by the LDS Church to exercise than men; LDS males and females exercised more than average American adults; walking, jogging, and aerobic dance were the most popular choices of LDS exercisers; and, there is a need to improve the awareness of LDS members concerning the Physical …

Large Deviations For Processes With Independent Increments, James Lynch, Jayaram Sethuraman

Faculty Publications

Let X be a topological space and F denote the Borel σ-field in X. A family of probability measures {Pλ} is said to obey the large deviation principle (LDP) with rate function I(⋅) if Pλ(A) can be suitably approximated by exp{−λinfx∈AI(x)} for appropriate sets A in F. Here the LDP is studied for probability measures induced by stochastic processes with stationary and independent increments which have no Gaussian component. It is assumed that the moment generating function of the increments exists and thus the sample paths of such stochastic processes lie in the space of functions of bounded variation. The …

False Positive Rates Encountered In The Detection Of Changes In Periodontal Attachment Level, John C. Gunsolley

Theses and Dissertations

This thesis demonstrates that the assumption of normality used by Goodson results in the underestimation of the type I error rate of the tolerance method by a factor of 10. This underestimation is due to the positive kurtosis demonstrated in the distribution of replicate differences. Therefore, the assumption of normality does not seem warranted. It is shown here that a resampling technique more accurately estimates the type I error rate.

The estimates of false positive rates have important implications in the field of periodontics. When diagnostic decisions are based on single measurements, false positive rates are high. Even when thresholds …

Fisheries Report No 74 - Marine Resources Map Of Western Australia- Part 2 - The Influence Of Oil On Marine Resources And Associated Activities With An Emphasis On Those Found In Western Australia, H. E. Jones

Fisheries Research Reports

Part 1 of the text accompanying the marine resources maps dealt with the resources and the morphological, hydrological and meteorological characteristics of the Western Australian coastal environment. This subsidiary part is concerned with the effects of oil on marine resources and associated commercial and recreational activities.

Accounts of oil on the seas due to natural seepages appeared in Europe in the sixteenth century on the return of Spanish and Portuguese ships from voyages to the Americas. One of the earliest reports of oil pollution from a man-made source was in 1754 when leakages from wooden petroleum barges were prevalent in …

The Design And Analysis Of Drug Combination Experiments, Thomas J. Vidmar

Dissertations

Past literature concerning drug combination studies is reviewed. This literature has both biological and statistical origins. The justification of the logit transformation for dichotomous responses in a linear models framework is made by observing its similarities to models proposed by others. Using the logistic linear model, optimal experimental designs are derived. Methods for obtaining parameter estimates are discussed as are diagnostic techniques for logistic regression. Two new robust techniques for logistic regression are proposed and compared to a robust technique suggested in the literature via Monte Carlo simulation. Finally, estimation of the median effective dose (ED50) and the resulting confidence …

Student Profile, Fall 1986, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University

Wright State University Student Fact Books

The student profile fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1986.

Statistical Section (September 1986), Central Bank Of Nigeria Cbn

Economic and Financial Review

This is a statistical representation of economic activities in Nigeria in September 1986

The Effect Of Dietary Fat Level On Tumor Development And Immunity In Balb/C Mice Fed Casein Of Wheat Gluten As Protein And Challenged With Herpes Type 2-Transformed Cells, Helen Drakou

Loma Linda University Electronic Theses, Dissertations & Projects

A high percentage of fat in the diet has been implicated through epidemiological studies in several human cancers. Studies in experimental animals have produced evidence that increasing the fat in the diet decreases the animal’s ability to restrict tumor development and growth. In previous work done in this laboratory with BALB/c mice injected with herpes simplex Type 2-transformed mouse cells (H238), the effects of a diet which greatly enhanced tumor growth was compared with one which restricted tumor growth. The latter, a low (5%) fat, low protein diet, in which the protein was casein, was also found to produce a …

Measuring Managerial Efficiency By Data Development Analysis, Jati K Sengupta

IIMB Management Review

No abstract provided.

Amount Of Root Shortening Related To Type Of Fixed Appliance : A Comparison Of The 0.018" And 0.022" Bracket Slot, Thomas L. Thompson

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to determine if a different incidence and severity of maxillary incisor apical root resorption occurs in cases treated with the 0.018 inch versus 0.022 inch slot in standard edgewise mechanics. A consecutively treated sample of 240 patients (98 boys and 142 girls), with a mean age of 13.4 years from the orthodontic clinic at Loma Linda University were studied. 120 of the cases were treated using 0.018" bracket slot with standard edgewise mechanics and 120 were treated using 0.022" non-torqued full banded standard edgewise mechanics. 60 of the cases in each of the above …

Correlates Of Birth Weight And Gestation Age : Baseline Data For Health Education, Adanetch Kidanemariam

Loma Linda University Electronic Theses, Dissertations & Projects

Purpose. The study examined the correlation of maternal occupation, urinary tract infection, smoking, and working during pregnancy with infant birth weight and gestational age in order to generate baseline data for development of a health education intervention program protocol for pregnant women In the work place.

Primary Hypotheses. (1) The four maternal risk factors: (a) occupation during lifetime, (b) reported urinary tract infection, (c) cigarette smoking, (d) working, are individually and interactively correlated with infant birth weight and gestational age. (2) The effects of the interactive associations are greater on birth weight than gestational age.

Procedure. A sample of …

Orthogonal Polynomials, Measures And Recurrence Relations, Joanne Dombrowski, Paul Nevai

Mathematics and Statistics Faculty Publications

Properties of measures associated with orthogonal polynomials are investigated in terms of the coefficients of the three term recurrence formula satisfied by the orthogonal polynomials.

An Analysis Of Public Attitudes Toward The Insanity Defense, Valerie P. Hans

Cornell Law Faculty Publications

Results from a public opinion survey of knowledge, attitudes, and support for the insanity defense indicate that people dislike the insanity defense for both retributive and utilitarian reasons: they want insane law-breakers punished, and they believe that insanity defense procedures fail to protect the public. However, people vastly overestimate the use and success of the insanity plea. Several attitudinal and demographic variables that other researchers have found to be associated with people's support for the death penalty and perceptions of criminal sentencing are also related to support for the insanity defense. Implications for public policy are discussed.

L(P) Estimates For Maximal Functions And Hilbert-Transforms Along Flat Convex Curves In R(2), Hasse Carlsson, Michael Christ, Antonio Cordoba, Javier Duoandikoetxea, Jose L. Rudio De Francia, Jim Vance, Stephen Wainger, David Weinberg

Mathematics and Statistics Faculty Publications

No abstract provided.

On Weighted Integrability Of Trigonometric Series And L¹-Convergence Of Fourier Series, William O. Bray, Caslav V. Stanojević

Mathematics and Statistics Faculty Research & Creative Works

Result concerning integrability of f(x)L(l/x)(g(x)L(l/x)), where f(x)(g(x)) is the pointwise limit of certain cosine (sine) series and L(•) is slowly vary in the sense of Karamata [5] is proved. Our result is an excludedďcase in more classical results (see [4]) and also generalizes a result of G. A. Fomin [1]. Also a result of Fomin and Telyakovskii [6] concerning L1-convergence of Fourier series is generalized. Both theorems make use of a generalized notion of quasi-monotone sequences. © 1986 American Mathematical Society.

Banach Spaces Of Functions Analytic In A Polydisc, Leon M. Hall

Mathematics and Statistics Faculty Research & Creative Works

This paper is concerned with functions of several complex variables analytic in the unit polydisc. Certain Banach spaces to which these functions might belong are defined and some relationships between them are developed. The space of linear functionals for the Banach space of functions analytic in the open unit polydisc and continuous on the unit torus is then described in terms of analytic functions using an extension of the Hadamard product.

The Significance Of Alternative Techniques In Biomedical Research: An Analysis Of Nobel Prize Awards, Martin Stephens

Experimentation Collection

No abstract provided.

The Cruel Deception, Robert Sharpe

Experimentation Collection

With new legislation to replace the Cruelty to Animals Act 1876 near at hand, the powerful vested interest groups whose profits and livelihood depend on laboratory animals are stepping up their campaigns to ensure the survival of vivisection. Have the benefits really been so great, and can vivisection achieve major advances in our present state of health?

History shows (McKeown 1979) that the real reasons for the dramatic increase in life expectancy since the middle of the last century are improvements in nutrition, living and working conditions, hygiene and sanitation, with medical measures only having a relatively marginal effect. The …

Ua56/1 Fact Book, Wku Institutional Research

WKU Administration Documents

Statistical and demographic profile of WKU.