Physical Sciences and Mathematics Commons^™

The Mean In Statistics, Rex E. Babcock

Honors Theses

When one speaks of how statistics have been utilized in decades past there is much to say. However, it is even more astonishing when one speaks of the utilization of statistics today. The use of statistics is widespread virtually over all of the world today, and is put to use in such fields as surveys, census, psychometrics, and almost every business, vocation, and employment that may come to one's mind. But I wish to confine myself to the mean in statistics; I will even make another boundary on myself by discussing only the arithmetic mean, geometric mean, harmonic mean, and …

Analysis Of Heat Transfer In A Two-Layer Circular Cylinder:Constant Flux On Outer Surface And Zero Flux On Inner Surface, Mary Elena Franklin

Mathematics & Statistics ETDs

The one-dimensional time-dependent equation of heat conduction is solved analytically for an infinite two-layer circular cylinder whose core may be either hollow or solid. On the outer surface of the cylinder, which has no heat loss due to convection, a constant heat flux from an external source of heating is applied uniformly. The layers are in perfect thermal contact, and there is no heat loss at their interface. At the smaller radius of the inner layer is a perfect insulator so that the heat flux on the inner surface of the two-layer cylinder is zero. The temperature is uniform initially …

A Combinational Analysis Of Finite Minimal Uniform Covers, Gustavus J. Simmons

Mathematics & Statistics ETDs

No abstract provided.

The Effect Of Selected Nurse-Patient Contacts On The Attendance Of Non-Private Patients At Preparation For Childbirth Classes, Judith A. Hart

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to determine whether selected nurse-patient contacts effected the attendance of non-private patients at Preparation for Childbirth classes. During the data collection period only six of the eight patients who met the criteria for this study were available. Each of the six patients was reached by at least one of the three types of nurse-patient contacts-- a letter of invitation to the Preparation for Childbirth classes, weekly contacts with the patients at the classes and three home visits to each patient. Tools used to collect data for this study were a personal information questionnaire, home …

A Historical Study Of The Nursing Care Of The Newborn Infant In The Hospital Nursery, Synnove Wasli

Loma Linda University Electronic Theses, Dissertations & Projects

This was a historical study of past ideas, beliefs, and practices in the nursing care of the normal newborn infant in the hospital nursery. The study covered the years 1930 to 1965 and was divided into four cross sections, namely, 1930 to 1935, 1940 to 1945, 1950 to 1955, and 1960 to 1965.

The primary sources used in this study consisted of one hundred infant medical records which were made available by a 382-bed, private, general hospital located in a Los Angeles suburb. One procedure manual used in this hospital during the years 1944-1955 qualified as a primary source. Personal …

The Effect Of Removing The Crevicular Epithelium Upon Canine Tooth Replantation, Leon A. Leonard

Loma Linda University Electronic Theses, Dissertations & Projects

The nature of epithelium and the remarkable facility with which it aggressively covers granulation tissue, suggests that removal of the sulcular epithelium surrounding the extraction wound of a tooth to be replanted could promote reattachment of the periodontal tissues at a more nearly ideal coronal level. To investigate this hypothesis twenty mature teeth in five mongrel dogs were experimentally replanted. One half of them were replanted in alveoli around which the crevicular epithelium had been removed, the remaining teeth without creviculoectomy acting as controls. Animals were euthanized at one, two, three, five, and sixteen weeks. After clinical evaluation of the …

Semi-Groups And A Class Of Singular Perturbation Problems, Andrew Y. Schoene

Mathematics & Statistics ETDs

No abstract provided.

Bayesian Inference For Decision Making, Ming-Yih Kao

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

In recent years, Bayesian inference has become very popular in applied statistics. This study will present the fundamental concept of Bayesian inference and the basic techniques of application to statistical quality control, marketing research, and other related fields.

Stochastic Processes Model And Its Application In Operations Research, Chun Yuan Hsu

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Just as the probability theory is regarded as the study of mathematical models of random phenomena, the theory of stochastic processes plays an important role in the investigation of random phenomena depending on time. A random phenomenon that arises through a process which is developing in time and controlled by some probability law is called a stochastic process. Thus, stochastic processes can be referred to as the dynamic part of the probability theory. We will now give a formal definition of a stochastic process.

Let T be a set which is called the index set (thought of as time), then, …

Computer Programs For Incomplete Block Designs, Fred Miller

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

In most disciplines where research is involved, there exists an occasional problem of having minimal facilities and/or funds for conducting experiments. This often necessitates the use of designs known as incomplete block designs.

Since the calculations needed to provide an appropriate statistical analysis are somewhat tedious, particularJ..y in the larger designs, it is advantageous to have computer programs to do the necessary calculations.

There are several computer programs at Utah State University written in Fortran II language with Forcom subroutines that perform the analyses for incomplete block designs. These programs, for the most part, were authored by Justus Seely and …

The Practical Solutions And Computer Program Of Two Statistical Problems In Simulation, Yee Fong

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

In the last several years monte-carlo simulation has become a major tool for the analysis of complex queuing systems which are no readily amenable to analysis by conventional mathematical methods. By a complex queueing system is mean a system composed of, physically or by analogy, a network of stations or servers with traffic units moving through all or some of the servers, into the system and out or around within the system. A traffic unit desiring service by a server may either have to enter a queue first or may be served immediately. Such systems have been simulated often with …

A Study Of The Exponential Distirbutions And Their Applications, Michael Chang-Yu Wang

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The exponential distribution is a widely known distribution i n statistical theory. It can be regarded as the continuous analogue of the Poisson distribution, discussed by S. D. Poisson in 1837. The Poisson is a limiting form of the Binomial distribution which can be t race d back as early as 1700, discussed by James Bernoulli. A paper by Marsden and Barratt (1911) on the radioactive disintegration of thorium gives a typical frequency distribution which follows the exponential law (8, p. 89). The exponential distribution has achieved importance recently in connection with the theory of stochastic process and has found …

Partially Balanced Incomplete Block Designs, Yaw-Tarng Shih

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

In balanced incomplete block designs, each pair of treatments is compared with equal precision, and each treatment is paired with every other treatment an equal number of times with in a common block; A is a constant for all treatments. There is one associate class for each treatment in balanced incomplete block designs. These are the most important balanced incomplete block designs, but the need sometimes arises for others; either because no suitable balanced incomplete block design exists, or because, for example, it is necessary to make some comparisons more precisely than others. We can see balanced incomplete block designs …

Analysis Of Contingency Tables, James Joseph Biundo

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Two methods of analyzing multi-dimensional frequency data are detailed.

The Second Order Exponential (SOE) model is applicable for dichotomous classifications. The distribution has two sets of parameters, ϴ_i's and ϴ_j's. The ϴ_i's are interpreted as the log of the odds of the marginal probabilities if no two factor relationships exist. Or if all ϴ_ij are not zero, then the ϴ_i's are analogous to a main effect in a 2^m factorial analysis, (m = number of factors or classifications). The ϴ_if's may be interpreted as a measure and direction …

Generation Of Random Numbers, Keith H. Eberhard

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Subroutines are written to generate random numbers on the computer. Depending on the subroutine used, the generated random numbers follow the uniform, binomial, normal, chi-square, t, F, or gamma distribution. Each subroutine is tested using the chi-square goodness of fit test to verify that the random numbers generated by each subroutine follow the statistical distribution for which it is written. The interpretation of the test results indicates that each subroutine generates random numbers which closely approximates the theoretical distribution for which it is designed.

The approach used in the subroutine which generates gamma distributed random numbers involves the use of …

Relationship Between Sleep Deprivation And Postpartum Depression, Janet Wagner

Loma Linda University Electronic Theses, Dissertations & Projects

Postpartum depression was thought to be an important component of maternity blues and was the factor explored in this study. Sleep was hypothesized as a factor affecting either the occurrence or severity of postpartum depression. Hence, the purpose of this study was to determine the relationship between sleep deprivation and postpartum depression.

Twenty patients were interviewed one to three weeks prior to their expected dates of delivery. The Minnesota Multiphasic Personality Inventory Depression scale was administered during the interview and each patient kept a record of her hours of sleep during the following week. Each patient again kept a record …

A Study Of Factors Which May Influence Attitudes Of Lds Teen-Agers Toward Family Home Evening, Don Leroy Miller

Theses and Dissertations

The purpose of this study was to identify factors related to attitudes of teenagers toward the Family Home Evening Program of the Church of Jesus Christ of Latter-day Saints. Hypotheses involving the relationships of certain factors to attitudes toward home evening were tested.

A cluster sample of twenty-three ninth grade classes was selected and data were gathered through use of a questionnaire. Statistics used in analysis of data included the Pearsonian product moment correlation coefficient, and analysis of variance. Responses to open-end questions were content analyzed by three independent judges.

Findings suggest that perceived participation by teenagers in planning and …