Digital Commons Network^™

Statistical Analysis Of Nonestimable Functionals., Dibyen Majumdar Dr.

Doctoral Theses

Our interent will be centred around the Gaunn Markov model (Y,X6,2A), where Y ls a randon variable asnuning values in R" with expectation and dispersion natrix given byE(Y) = XA (1.1) (1.2) * X in Rnxm and A In the subset of nonnegative definite (n.n.d.) natrices of RAre known. Unless apecifled to the contrary, A will be assuted to be positive definite (p.d.). The unknown paraneter vector B varies in Ag, a subset of Rand o? in, will alvays be the positive half of the real line, unless otherwine specifled, and 1ikewfse satiafien the minimum requirement dim (n,) = m.Historically, …

Determination Of Probability Measures Through Group Actions., Inder Kumar Rana Dr.

Doctoral Theses

One of the fundamental problems in Measure Theory is the following: given a measurable space (x, B,), to find subclasses D of B, such that whenever for two probability measures u and v on (X, B,), u(B) = v(3) for every B c D, then u(B) = v(B) for every Be B,. The first basic theorem of Measure Theory, viz., the Caratheodory Extension Theorem says that any sub-algebra D of B, which generates B, has the above mentioned property.Let (X, B, ) be a given measurable space. A subclass n of 3, is called a determining class for a class …

Development Of The Minimum Competency Exam In Mathematics For The Hoquiam School District, John Daniel Descher

All Graduate Projects

Two competency exams (Test A and Test B) were constructed and field tested on high school students in the Hoquiam School District. Individual results were compared to respective Stanford Achievement Test scores. Statistical analyses were performed to investigate population differences. Results from Test A were compared to results from Test B. Also, differences between performances of juniors and seniors were analyzed. A further statistical analysis was performed to compare performances between boys and girls.

The Construction Of A Logical-Empirical Structure Of Knowledge For Differential Calculus Using A Theoretical Framework Based Upon Learning Hierarchy Theory And Order Theory, James Martin Devecchi

Doctoral Dissertations

The principal result of this study is a logically and empirically valid Structure of Knowledge for Differential Calculus constructed using a methodology based on Learning Hierarchy Theory (LHT) and Order Theory (OT). A review of existing research into calculus learning is presented and properties of the strucutre of knowledge which address deficiencies in existing knowledge discussed. LHT is developed and techniques for the empirical validation and generation of hierarchies are discussed. Included in this discussion is a detailed analysis of the important properties of OT.

The generation of the structure of knowledge consisted of two phases: the logical analysis and …

Spatial Ability, Mathematics Achievement, And Spatial Training In Male And Female Calculus Students, Joan Ferrini Mundy

Doctoral Dissertations

The primary purpose of this study was to investigate the effects of spatial training upon calculus achievement, spatial visualization, and tendency and ability to visualize solids of revolution in calculus, for college males and females. A random sample of 250 first-semester calculus students at the University of New Hampshire was apportioned into seven experimental groups, each containing males and females. Students were pretested on precalculus background, spatial visualization, and calculus background, and were assigned to one of three treatment conditions: audiovisual spatial training (AV), audio-vidual-tactual spatial training (AVT), and a control condition. The spatial training materials were organized into six …

A Constructive Proof Of Luft's Theorem In Case Genus Two., Robert John Kramer

LSU Historical Dissertations and Theses

In Kirby's problem list {R. Kirby: Problems in Low Dimensional Manifold Theory. Proc. Symp. Pure Math. 32, (1978), p.28} is "Problem 2.4: (Birman) Let (alpha) be the obvious homomorphism (eta)(,g)(' )(--->)(' )Aut ((pi)(,l)(N(,g))) where (eta)(,g) is the group of isotopy classes of orientation perserving homeomorphisms of N(,g). Is kernel ((alpha)) finitely generated?" Here N(,g) denotes the 3-dimensional orientable handlebody of genus g. See {J. Birman: Braids, Links and Mapping Class Groups. Ann. of Math. Studies No. 82, PUP(1975), p.220}. In {E. Luft: Actions of the Homeotopy Group of an Orientable 3-Dimensional Handlebody. Math. Ann. 234 (1978), Corollary 2.3} Luft …

Transformational Geometry Unit, Elizabeth Ann O'Neill

All Graduate Projects

The study included the development and writing of a unit on transformational geometry which involved a holistic approach including the cognitive, psychomotor, and affective domains. This unit was taught to the eighth grade class in the Oakville School District in Oakville, Washington. The results showed support that the teaching of this unit was effective.

A Study To Determine If Predictive Relationships Exist Between First Month Apprentice Mathematic Failures And Unsuccessful Completion Of The Three Year Norshipco Apprentice Program, Donald Allan Kilmer

OTS Master's Level Projects & Papers

The problem of this study was to determine if a correlation exists between first month apprentice mathematic failures and unsuccessful completion of the four months of related instruction in the three year apprentice program.

Mathematics In The Forest, Douglas Knudson

Historical Documents of the Purdue Cooperative Extension Service Archive

No abstract provided.

An Octic Reciprocity Law Of Scholz Type, Duncan A. Buell, Kenneth S. Williams

Faculty Publications

No abstract provided.

The Theory And Application Of Frequency Domain Deconvolution Using Optimum Compensation In Time Domain Measurement, Robert Bruce Stafford

Retrospective Theses and Dissertations

This thesis describes a method of transforming a deconvolution problem into an equivalent convolution problem. A short discussion of the theory behind convolution and deconvolution is included, along with a survey of techniques now being used. A new method using a synthesized compensator is proposed and mathematically developed. Finally, the results of applying this method to several real and analytical signals are given.

A Microcomputer Implementation Of Real Time, Continuously Programmable Digital Filters, William Edward Storma

Retrospective Theses and Dissertations

When a filter transfer function in s is replaced with the bilinear transform in z, the resulting discrete model represents the original continuous model within a second order accuracy of integration. A unique set of recently discovered minimum memory algorithms that perform the bilinear transform on a continuous transfer function are implemented on an INTEL 8080 microprocessor system. Scaling techniques are used to frequency scale all transfer functions to a standardized frequency. All data words are represented in a signed binary double precision format to maintain higher calculation speed and accuracy. Three test case transfer functions of different order are …

Probability Theory Meets Res Ipsa Loquitur, David Kaye

Michigan Law Review

This Article uses probability theory normatively in an effort to clarify one aspect of the famous tort doctrine known as res ipsa loquitur. It does not urge that jurors be instructed in probability theory or be equipped with microprocessors. Rather, it seeks an accurate statement of the res ipsa doctrine in ordinary language. In particular, this Article will show that the conventional formulation of the doctrine is misleading at best, and should be replaced with a more careful statement of the conditions warranting the res ipsa inference. To this end, Section I briefly surveys the legal doctrine, or, more precisely, …

Choice Of Strategies In Survey Sampling., Geetha Ramachandran Dr.

Doctoral Theses

The main problam of sampling from finite populations consi sts of devi sing an appropriate proceduro for sel ecting a sample from a given population and developing an appropriate procedure for estimating the population parameter of interest in order to maximize the precision of the estimator subject to certain restrictions on the cost for the survey or alternatively minimi ze the cost for achieving a given l evel of precision. During the thirties and forties several contributions were made to develop the theoretical background of sample survey techni ques in order to solve this problem, The most significant works of …

Study Of Indian Nuptiality., Chitta R. Malaker Dr.

Doctoral Theses

DEFINITION OF NUPTIALITYAccordi ng to the latest International Demographic Terminelogy (Grebeni k and ill, 1974), t he term 'nuptiality' is used to denote the whole subject of the formation and dissolutien of sexual uni ons, includi ng the study of marriage, consensual uni ons, separation, di vorce, widowhood etc. It is also used, in a narrower sense, as a synonym for marriage in such terms as nuptiality rates;and nuptiality probabilities, The study of nuptiality deals with the frequency of marriage, 1.e., unions between persons of opposite sexes which involve rights and obligations fixed by law and custom; with the characteriatics …

Theory Of Estimation In Algebraic And Analytic Exponential Families With Applications To Variance Components Models., Krishnan Unni Dr.

Doctoral Theses

There are many important statistical problems of the following kind. The family of probability measures O is parametrized by a vector parame ter n varying in a q-dimen- sional domain. P can be represented as an exponential family of probability distributions with k canonical para- me ters where k is greater than q. The canonical parameters do not vary in a domain in R, but are restricted by polyno- mial or analytic equations. They vary on a curved surface defined by the polynomial or analytic equations within the natural parame ter space of the exponential family. The present work is …

Witt Classification Of Inner Product Spaces., Max Leon Warshauer

LSU Historical Dissertations and Theses

No abstract provided.

Student Achievement In Mathematics In Terms Of Class Scheduling., Paulette Richard Rodrigue

LSU Historical Dissertations and Theses

No abstract provided.

Convergence Theorems For Linear Evolution Equations., Mary Jorgensen Anderson

LSU Historical Dissertations and Theses

No abstract provided.

Sigma-Compact Subsets Of Hyperspaces., Mark Michael

LSU Historical Dissertations and Theses

No abstract provided.

Codes Which Are Ideals In Abelian Group Algebras., Patrick R. Coulton

Student Work

Take G to be any multiplicative group. Let [G] = and choose q to be a prime such that n and q are relatively prime. Let K denote the field of order q (i.e. GF(q)-K). We form the group algebra KG defined to be the set of all formal sums {mathematical formula} with multiplication and addition defined by {series of formulas}. A straightforward application of these definitions yields that KG is an associative algebra with multiplicative identity. In fact, the identity in the group G acts as the multiplicative identity in KG. Definition 1.1.1. A ring is said to satisfy …

Maximal Residue Difference Sets Modulo P, Duncan A. Buell, Kenneth S. Williams

Faculty Publications

Let p ≡ 1 (mod 4) be a prime. A residue difference set modulo p is a set S = {a_i} of integers a_i such that (a_i/p) = +1 and ((a_i - a_j)/p) = +1 for all i and j with i ≠ j, where (n/p) is the Legendre symbol modulo p. Let m_p be the cardinality of a maximal such set S. The authors estimate the size of m_p.

Some Contribution To Descriptive Set Theory., Haimanti Sarbadhikari Dr.

Doctoral Theses

Current interest in the descriptive theory of sc ts stems largely from the many applications that the classical theory has found in probability theory, functional analysis, dynanic programming etc. As exarples, we cite the fundament al paper of Blackwell 15J wherein he has shown that many of the pathologies of probability theory c an be avoided if one takes the basic probability space to be an analytic set. As another example, we mention that several vritere [7), L23] have shown that in Blackwell's model of dynamic programming 131 the existence of optimal strategies ig related to the cxistence of measurable …

Estimation Of Linear Structural And Functional Relationships, Tak Kwan Mak

Digitized Theses

No abstract provided.

Construction Of Integral Quadratic Forms., Paul Keith Wayland

LSU Historical Dissertations and Theses

No abstract provided.

Some Results On Quadratic Forms Over Non-Formally Real Fields., John Rhett Ramsey Jr

LSU Historical Dissertations and Theses

No abstract provided.

Stabilizations Of Periodic Maps On Manifolds., David Calvin Royster

LSU Historical Dissertations and Theses

No abstract provided.

Arc Reversals In Tournaments., Claybourne Waldrop Jr

LSU Historical Dissertations and Theses

No abstract provided.

An Investigation Of The Interactions Of Student Ability Profiles And Instruction In Heuristic Strategies With Problem Solving Performance And Problem Sorting Schemes, Martha Louise Hunt

Doctoral Dissertations

No abstract provided.

Applications Of Algebra In College General Chemistry: A Curriculum Development, Enid Loretta Reeder Burrows

Doctoral Dissertations

No abstract provided.