Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Articles 1 - 22 of 22

Full-Text Articles in Physical Sciences and Mathematics

Sero-Epidemiology Of Q Fever With Special Reference To Complications In A Hospital Population Of Southern California, Ajit Singh Randhawa Dec 1971

Sero-Epidemiology Of Q Fever With Special Reference To Complications In A Hospital Population Of Southern California, Ajit Singh Randhawa

Loma Linda University Electronic Theses, Dissertations & Projects

[Abstract Not Included]


An Extension Of The Cochran Q Test, Soo-Young Cho Aug 1971

An Extension Of The Cochran Q Test, Soo-Young Cho

Loma Linda University Electronic Theses, Dissertations & Projects

The familiar x 2 test is ordinarily used to compare percentage distributions of categorical data for two or more independent samples. A more accurate com parison of the percentages is sometimes obtained if the samples consist of matched individuals. The NcNemar test is generally used when comparing only two related samples. Where there are three or more samples the Cochran Q test is used. Both of these tests apply only to the case of dichotomized responses. This thesis extends the Cochran Q test to the case where the responses are multinomial. A generalized statistic corresponding to Cochran's result is obtained. …


A New Confidence Interval For The Mean Of A Normal Distribution, David Lee Wallace Jun 1971

A New Confidence Interval For The Mean Of A Normal Distribution, David Lee Wallace

All Master's Theses

A typical problem in statistical inference is the following: An experimenter is confronted with a density function f(x; ϴ) which describes the underlying population of measurements. The form of f may or may not be known, and ϴ is a parameter (possibly vector-valued) which describes the population. The statistician's job is to estimate or to test hypotheses about the unknown parameter ϴ. In this paper, we shall consider interval estimation of the mean of the normal density function.


Convergence Rates For The Central Limit Theorem For Random Sums, Christopher E. Olson May 1971

Convergence Rates For The Central Limit Theorem For Random Sums, Christopher E. Olson

Mathematics & Statistics ETDs

Let (Xi} be a sequence of independent, identically-distributed random variables with EX2i < ꝏ and E(Xi - EXi)2 = 1.


U. S. U. Mathematical Programming Package, R. Gary Goodwin May 1971

U. S. U. Mathematical Programming Package, R. Gary Goodwin

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

Solving mathematical programming problems without the aid of electronic computers is very time consuming even for a mathematical model consisting of only a few constraints and variables. The objective of this report is to illustrate the use of mathematical programming computer routines available at Utah State University. Computer routines discussed are the International Business Machines (IBM), Mathematical Programming System (MPS) package, a quadratic programming routing, a zero-one integer programming routing, and a transportation code. The MPS package is a product of IBM; the quadratic programming routing was develop by the author: the last three routines were obtained from the IBM …


A Monte Carlo Evaluation Of A Nonparametric Technique For Estimating The Hazard Function, Sheng Jia Lin May 1971

A Monte Carlo Evaluation Of A Nonparametric Technique For Estimating The Hazard Function, Sheng Jia Lin

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

This research is primarily concerned with the estimation of the Hazard functions, the Hazard function is the failure rate at time t, and is defined as -R '(t)/R(t), so it plays an important role in Reliability.

In order to compare and evaluate the estimation methods, it is convenient to select one distribution in this research. Since the Weibull distribution is a useful distribution in Reliability, the Weibull distribution is used in this paper.


The Effects Of A Topically Applied Anti-Inflammatory Agent On Root Resorption In The Replanted Teeth Of Canines, William L. Young May 1971

The Effects Of A Topically Applied Anti-Inflammatory Agent On Root Resorption In The Replanted Teeth Of Canines, William L. Young

Loma Linda University Electronic Theses, Dissertations & Projects

Root resorption is a constant finding on the roots of replanted teeth. In this study it was suggested that root resorption is perhaps related to inflammation and that teeth incubated in an anti-inflammatory agent such as triamcinolone acetonide, a corticosteroid, before replantation would have less resorption. To investigate this hypothesis nineteen mature teeth in five mongrel dogs were extracted and replanted. Ten of the teeth were incubated for five minutes in the steroid and nine control teeth for the same period in a saline solution. Before euthanizing the animals at one, three, five, and seven weeks, a clinical evaluation of …


Resource Requirements Determination (Based On Statistical Methods), Robert L. Howard May 1971

Resource Requirements Determination (Based On Statistical Methods), Robert L. Howard

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Two methods of determining resource requirements at an Air Force maintenance depot were developed.

The first method is designed for new workloads and is based on infinite queuing theory formulas. Tables have been developed for this method.

The second method is designed for workload with, at minimum, several months of historical data. An optimum fit test was designed to aid in fitting and smoothing the empirical data to the normal distribution. These data are then input to simulation model for determination of resource requirements.


Statistical Analysis For Tolerances Of Noxious Weed Seeds, Yadolah Dodge May 1971

Statistical Analysis For Tolerances Of Noxious Weed Seeds, Yadolah Dodge

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

An analysis of the previous method for testing tolerances of noxious weed seeds was performed. Problems of the current techniques were discussed, and the solution to these problems was given.

A new technique of testing through the sequential test ratio was developed, and results examined.

The sequential test was found to be useful enough to include the use of it in determining tolerances for noxious weed seeds.

This study did show that the use of sequential tests does have excellent potential and flexibility as a statistical tool for the tolerances of noxious weed seeds.


The Effectiveness Of Categorical Variables In Discriminant Function Analysis, Preston Jay Waite May 1971

The Effectiveness Of Categorical Variables In Discriminant Function Analysis, Preston Jay Waite

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A preliminary study of the feasibility of using categorical variables in discriminant function analysis was performed. Data including both continuous and categorical variables were used and predictive results examined.

The discriminant function techniques were found to be robust enough to include the use of categorical variables.

Some problems were encountered with using the trace criterion for selecting the most discriminating variables when these variables are categorical. No monotonic relationship was found to exist between the trace and the number of correct predictions.

This study did show that the use of categorical variables does have much potential as a statistical tool …


Fitting Some Families Of Contagious Distributions To Biological And Accident Data, Yung-Sung Lee May 1971

Fitting Some Families Of Contagious Distributions To Biological And Accident Data, Yung-Sung Lee

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Four families of contagious distributions--generalized Poisson distributions, generalized binomial distributions, generalized Pascal distributions, and generalized log-zero distributions--are investigated in this thesis.

The family of generalized Poisson distributions contains five distributions: the Neyman Type A, the "Short," the Poisson binomial, the Poisson Pascal, and the negative binomial. The family of generalized binomial distributions contains eight distributions: the binomial Poisson, the binomial binomial, the binomial Pascal, the binomial log-zero, the Poisson with zeros, the binomial with zeros, the Pascal with zeros, and the log-zero with zeros. The family of generalized Pascal distributions contains four distributions: the Pascal Poisson, the Pascal binomial, the …


The Effect Of Early Postpartum Teaching Of Infant Feeding On Maternal Concern, Linda M. Richter, K. Judy Toews May 1971

The Effect Of Early Postpartum Teaching Of Infant Feeding On Maternal Concern, Linda M. Richter, K. Judy Toews

Loma Linda University Electronic Theses, Dissertations & Projects

An experimental study was conducted on thirty primiparae during the postpartum period to determine if individualized instruction regarding infant feeding would result in a lower level of maternal concern in this area. The study sample was randomly and evenly divided into a control and an experimental group. It was statistically determined that the two groups were homogeneous in regard to age, education, occupation, previous information (prenatal classes and reading) and help at home. The experimental group received individualized instruction by the researchers concerning their chosen method of infant feeding on the second postpartum day. There was no instruction given the …


Using A Participating Relationship To Improve Teen-Age Unwed Mother's Self-Esteem, Linda Gail Reeves May 1971

Using A Participating Relationship To Improve Teen-Age Unwed Mother's Self-Esteem, Linda Gail Reeves

Loma Linda University Electronic Theses, Dissertations & Projects

The study was to provide an approach to help teen-age unwed mothers increase their feelings of self-esteem and thereby attain a conceptual buffer for better coping with life. Self-esteem was defined as individual perception of the worth of oneself relative to that of significant others. The hypothesis tested was that the participating relationship a community health nurse has with a teen-age unwed mother will significantly increase the mother's self-esteem as measured by statistical Q-Sort analysis.

A convenience sample of twenty teen-age unwed mothers was obtained from referrals from San Bernardino County Health, Welfare, and Probation Departments. The girls were between …


A Comparison Of Various Teaching Methods For Patients With Chronic Obstructive Pulmonary Diseases, B. Carol Altizer, Nancy S. Bailey May 1971

A Comparison Of Various Teaching Methods For Patients With Chronic Obstructive Pulmonary Diseases, B. Carol Altizer, Nancy S. Bailey

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to find out whether patients with chronic obstructive pulmonary disease (C.O.P.D.) learn more from auditory or from visual teaching. Of the 30 patients in the sample, 10 used a programmed instruction booklet, 10 used a taped recording of the same programmed material and 10 were in a control group which received no specific teaching.

A pre-test was given to each of the patients who met the criteria for the study. One researcher gave the pre-test through an oral interview with the patient. After the pre-test, the patient received the teaching device assigned to him …


Relationship Of Ventilation Ability And Positioning In Left-Sided Congestive Heart Failure Patients, Nancy E. Carson Mar 1971

Relationship Of Ventilation Ability And Positioning In Left-Sided Congestive Heart Failure Patients, Nancy E. Carson

Loma Linda University Electronic Theses, Dissertations & Projects

Proper positioning is used to relieve dyspnea, edema, and fatigue in congestive heart failure patients. According to the review of literature, improved ventilation as measured by specific lung volumes and lung mechanics occurred with upright positioning in normal persons. The effects of specific changes in lung volumes related to position change in congestive heart failure patients has not been documented in literature, although various recommendations related to positioning are made. This exploratory study was undertaken with nine congestive heart failure patients to see if a relationship existed between degree of head elevation and lung ventilation ability as measured by water-bell …


A Bayes Rule For The Symmetric Multiple Comparisons Problem, Aban Nawabi Jan 1971

A Bayes Rule For The Symmetric Multiple Comparisons Problem, Aban Nawabi

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

Many procedures have been proposed for the symmetric multiple comparisons problem in recent years. These include a "protected" least significant difference procedure due to Fisher (FSD), a multiple range rule by Duncan, and HSD (honest significant difference) procedure by Tukey, and a procedure for testing all contrasts by Scheffe.

The tests which are mentioned above are either comparison-wise or experiment-wise approaches. The probability of Type I error is intended to be a for all comparisons made when an experiment-wise approach is used. Whereas, the probability of Type I error referred to each comparison is a comparison-wise approach. Both approaches can …


A Non-Parametric Sequential Signed-Rank Test And Comparison With The Sequential T-Test, Kuei-Mei Even Sher Jan 1971

A Non-Parametric Sequential Signed-Rank Test And Comparison With The Sequential T-Test, Kuei-Mei Even Sher

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

Sequential analysis is a method of statistical inference whose characteristic feature is that the number of observations required by the procedure is not determined in advance of the experiment. The decision to terminate the experiment depends, at each stage, on the results of the observations previously made.

So far the general sequential t-test (without truncation) is a standard test for the mean of a normal distribution. A truncated sequential t-test has been developed by Suich and Iglewicz (1970). The difference between these two tests is that the former has a fixed critical value whenever the type I error (α) and …


An Easy Access Interactive Statistical System For Use And Training In Biometry, Amos Addison Slaymaker Jr. Jan 1971

An Easy Access Interactive Statistical System For Use And Training In Biometry, Amos Addison Slaymaker Jr.

Theses and Dissertations

One of the most important tools of the applied statistician is the digital computer. It is natural, therefore, for the instructor in applied statistics to want his students to become familiar with the use of computers. If his students are going to get actual experience in using a computer for statistical analysis, he often has only two alternatives. The students can be required to write their own statistical programs or they can use programs already available through a computer facility.

If the course is to be taught such that each student is responsible for his own programs, the instructor must …


Group Sequential Methods For Clinical Trials Applied To The Logistic Regression Model, Joy Duci Mele Jan 1971

Group Sequential Methods For Clinical Trials Applied To The Logistic Regression Model, Joy Duci Mele

Theses and Dissertations

The objectives of this thesis are

1. to provide a comprehensive guide to using Pocock's group sequential method for clinical trials and

2. to show by computer simulations that the group sequential method is appropriate when using the logistic regression model.

In section 1.2, clinical trials are defined with an emphasis on Phase III clinical trials. The primary intent of sections 1.2 and 1.3 is to describe clinical trial characteristics which suggest that interim analyses are desirable. In section 1.4, it is shown that interim analyses should not consist of performing the usual significance tests. Chapter 1, then, describes the …


Depression And Uncooperativeness In Public Health Patients, P. Sherrill Baugher, Nancy Lynn Swan Jan 1971

Depression And Uncooperativeness In Public Health Patients, P. Sherrill Baugher, Nancy Lynn Swan

Loma Linda University Electronic Theses, Dissertations & Projects

The purpose of this study was to determine whether uncooperative behavior and a quantitative measurement of depression exist in the same patient in a public health nurse's caseload. Seven full-time public health nurses were randomly selected from the San Bernardino Public Health Department staff. They reviewed their caseloads and selected all the patients who met the general criteria.

Patients were then classified as cooperative or uncooperative based on the following specific criteria: (1) gives unreliable information, (2) uses the nurse as a "buffer" between helping agencies, (3) demands immediate gratification of requests in a stressful situation, (4) makes only token …


Influence Of Hospital Communication On Health Supervision Of High-Risk Infants, Alda L. Forte Jan 1971

Influence Of Hospital Communication On Health Supervision Of High-Risk Infants, Alda L. Forte

Loma Linda University Electronic Theses, Dissertations & Projects

The study was conducted to explore the extent to which communication about high-risk infants identified prior to hospital discharge, influences the public health nursing supervision to these infants during the neonatal period. A high-risk infant was defined as one that stands a greater than average chance of developing neonatal, life threatening disease or sequellae (physical, intellectual, or social handicap) due usually to maternal health or social factors, infant factors such as length of gestation, birth trauma, or complications at birth. The hypothesis tested was that when high-risk infants are identified prior to hospital discharge and this information communicated on the …


Attitudes Concerning Birth Control And Abortion As Related To Lds Religiosity Of Brigham Young University Students, Erlend D. Peterson Jan 1971

Attitudes Concerning Birth Control And Abortion As Related To Lds Religiosity Of Brigham Young University Students, Erlend D. Peterson

Theses and Dissertations

This study was an analysis of the relationship between LDS religiosity of college students and their attitudes concerning birth control and abortion.

The respondents in this research were LDS college students attending Brigham Young University Fall Semester 1970. Goodman and Kruskal's gamma and a difference of means test were used to measure association and difference to determine the statistical significance of the responses as related to religiosity and attitudes concerning birth control and abortion.

The results of the study showed that (1) there was a positive relationship between conservative attitudes toward birth control and abortion and one's degree of measured …