Physical Sciences and Mathematics Commons^™

Discriminant Function Analysis, Kuo Hsiung Su

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

The technique of discriminant function analysis was originated by R.A. Fisher and first applied by Barnard (1935). Two very useful summaries of the recent work in this technique can be found in Hodges (1950) and in Tosuoka and Tiedeman (1954). The techniques have been used primarily in the fields of anthropology, psychology, biology, medicine, and education, and have only begun to be applied to other fields in recent years.

Classification and discriminant function analyses are two phases in the attempt to predict which of several populations an observation might be a member of, on the basis of multivariate measurements. Both …

An Evaluation Of Bartlett's Chi-Square Approximation For The Determinant Of A Matrix Of Sample Zero-Order Correlation Coefficients, Stephen M. Hattori

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

The single equation least-squares regression model has been extensively studied by economists and statisticians alike in order to determine the problems which arise when particular assumptions are violated. Much literature is available in terms of the properties and limitations of the model. However, on the multicollinearity problem, there has been little research, and consequently, limited literature is available when the problem is encountered. Farrar & Glauber (1967) present a collection of techniques to use in order to detect or diagnose the occurrence of multicollinearity within a regression analysis. They attempt to define multicollinearity in terms of departures from a hypothesized …

Multivariate Analysis Of Variance For Simple Designs, Yin-Yin Chen

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

The analysis of variance is a well known tool for testing how treatments change the average response of experimental units. The essence of the procedure is to compare the variation among means of groups of units subjected to the same treatment with the within treatment variation. If the variation among means is large with respect to the within group variation we are likely to conclude that the treatments caused the variation and hence we say the treatments cause some change in the group means.

The usual analysis of variance checks how far apart the group means are in a single …

The Navigational History Of Bear River: Wyoming, Idaho, Utah, C. Gregory Crampton, Steven K. Madsen

Elusive Documents

No abstract provided.

The Impacts Associated With Energy Developments In Carbon And Emery Counties, Utah Part Iii: Land, Water And Air Resources And Possible Conflicts Of Their Use, Rodney D. Millar

Elusive Documents

No abstract provided.

Food And Distribution Of Underyearling Brook And Rainbow Trout In Castle Lake, California, Wayne A. Wurtsbaugh, R. Brocksen, C. Goldman

Watershed Sciences Faculty Publications

A difference was found in the summer distribution of underyearling brook trout, Salvelinus fontinalis (Mitchill), and planted rainbow trout, Salmo gairdneri Richardson, in Castle Lake, California. Brook trout underyearlings oriented to the bottom and were found primarily in shallow water on the eastern shore of the lake near springs. The rainbow trout underyearlings were more pelagic and were found in the littoral areas along the entire shoreline. Gravimetrically, the food eaten during the summer by brook trout underyearlings was 13% terrestrial, 11% limnetic, and 76% benthic. Rainbow trout ate 15% terrestrial, 15% limnetic, and 70% benthic food. In summer, rainbow …

Development Of A Management Framework Of The Great Salt Lake, J. Paul Riley, Calvin G. Clyde, William J. Grenney, Yacov Y. Haimes, Craig T. Jones

Reports

No abstract provided.

Auroral Energy Input From Energetic Electrons And Joule Heating At Chatanika, Vincent B. Wickwar, M J. Baron, R D. Sears

All Physics Faculty Publications

With the incoherent scatter radar at Chatanika, Alaska, a wide variety of measurements can be made related to the ionosphere, magnetosphere, and neutral atmosphere. A significant parameter is the amount of energy transferred from the magnetosphere into the ionosphere and neutral atmosphere during periods of auroral activity. In this report we examine a procedure whereby the incident energy flux of auroral electrons is ascertained from radar measurements. As part of the process we compare radar-determined fluxes with those ascertained from simultaneous photometric observations at 4278 Å. The fluxes obtained by both techniques had similar magnitudes and time variations. If we …

Colorado River Regional Assessment Study Part One: Executive Summary, Basin Profile, And Report Digest, Utah Water Research Laboratory

Reports

No abstract provided.

Urban Storm Runoff Inlet Hydrograph Study Volume 1: Computer Analysis Of Runoff From Urban Highway Watersheds Under Time- And Space-Varying Rainstorms, Chen-Lung Chen

Reports

The main objective of this study is to develop an accurate design method for computing inlet hydrographs of surface runoff, with average recurrence intervals of 10, 25, and 50 years, from typical urban highway by flood routing technique. The most comprehensive mathematical model based on the method of characteristics was developed for computing the runoff inlet hydrograph. All flood routing methods were extensively reviewed and the most efficient and accurate technique was adopted for the formulation of a numerical (computer) model including all the rainfall-runoff processes on a highway watershed. Accuracy of the computer model was then examined by comparing …

Economic Value Of Water-Oriented Recreation Quality, E. Boyd Wennergren, Herbert H. Fullerton, John E. Keith, Robin Meale

Reports

No abstract provided.

An Application Of The Utah State University Watershed Simulation Model To The Entiat Experimental Watershed, Washington State, David S. Bowles, J. Paul Riley, George B. Shih

Reports

To study the effects of a forest fire on runoff characteristics, the Utah State University Watershed Simulation Model (USUWSM) has been applied to three small drainage areas in the Entiat Experimental Watershed which is located within the Wenatchee National Forest of central Washington. Each component of the USUWSM has been described in the report, including structural changes to the model that were necessary to achieve reasonable agreement between observed and simulated runoff hydrographs. Lack of information on the spatial distribution and precipitation due to the absence of an adequate precipitation gaging network on or close to the study area was …

Modeling Phytoplankton Blooms In A Stratified Embayment, William J. Grenney

Reports

A mathematical model was developed to simulate the nitrogen limited growth dynamics of phytoplankton in a stratefied embayment. The representation of biological growth dynamics includes consideration of intracellular nutrient storage as well as the effects of temperature and light intensity. Several competing species can be represented simultaneously. Model hydrodynamics represent the effects of vertical mixing in the water column on the physical distribution of nutrients and phytoplankton. Sinking velocities of the cells are also included. The model was applied to Auke Bay, Alaska, and model responses are compared to data observed during the spring and summer of 1967.

Impacts Of Energy Development On Utah Water Resources, Barry C. Saunders

Reports

Introduction: Choosing a theme for a conference especially one for a group of diverse disciplines such as the American Water Resources Association encompasses, is always a challenge. you find yourself torn between thigns you'd really like to talk and hear about, and topics you think will draw attendance. It was most fortunate when somebody came up with the idea of Water for Energy, becasue to my way of thinking, it met both of these ends. There is no denying that starting in late 1973, energy has been the catchword, and the energy crisis has been the bandwagon to leap upon. …

The Natural Salinity Of The Colorado River, Stewart J. Williams

Reports

No abstract provided.

Urban Storm Runoff Inlet Hydrograph Study Volume 4; Synthetic Storms For Design Of Urban Highway Drainage Facilities., Cheng-Lung Chen

Reports

The main objective of this study is to develop an accurate design method for computing inlet hydrographs of surface runoff, with average recurrence intervals of 10, 25, and 50 years, from typical urban highway by flood routing technique. Knowledge of the time distribution of rainfall in heavy storms constitutes a basis for the design of an urban storm sewer system. A unified time-coordinate system and the rainfall intensity-duration-frequency relationships are used to develop the generalized synthetic (design) hyetograph equations for all types of storms. The hyetograph equations are further normalized for identifying the dimensionless parameters that play predominant roles in …

A Water-Land Use Management Model For The Sevier River Basin, V. A. Narasimhan, Eugene K. Israelsen

Reports

A hydrologic model for the Sevier River Basin above Sevier Bridge Reservoir was developed. The model considers large space increments on a monthly time increment. Additional data would improve the reliability of the model developed for some subbasins. A daily hydrologic model was also calibrated to the Circle Valley Subbasin. Data requirements for a daily model using small space increments seems to negate the possibility of the micro-model, for the present at least.

Nutrient Dynamics And Gas Production In Aquatic Ecosystems: The Effects And Utilization Of Mercury And Nitrogen In Sediment-Water Microcosms, D. B. Porcella, V. D. Adams, P. A. Cowan, S. Austrheim-Smith, W F. Holmes, J. Hill Iv, W. J. Grenney, E. J. Middlebrooks

Reports

Sixteen sediment-water microcosms designed to allow complete gas, liquid, and solid mass balances of gases, nutrients, and mercury were studies under dark conditions or varying light intensity for a period of 189 days. Results indicated that the microcosm technique is a very sensitive method of analyzing microbial dynamics in sediment water systems. Gas quantity and composition changes were easy to monitor and were especially sensitive to light and nutrient variations. Nitrogen fixation occurred in all lighted systems (blue-green algae nitrogen fixers, Anabaena, and others) and was adequate to insure that no nitrogen limitation occurred even though nitrogen limitation was imposed …

Biostimulation And Nutrient Assessment, Thomas E. Mahoney, A. G. Payne, C. M. Weiss, W. E. Miller, J. C. Greene, T. Shiroyama, R. A. Soltero, A. F. Gasperino, D. T. Specht, R. M. Gerhold, P. D. Uttormark, J. P. Wall, J. H. Reynolds, E. J. Middlebrooks

Reports

No abstract provided.

Colorado River Regional Assessment Study Part Two: Detailed Analyses: Narrative Description, Data, Methodology, And Documentation, Utah Water Research Laboratory

Reports

No abstract provided.

Development Of A Dynamic Programming Model For The Regionalization And Staging Of Wastewater Treatment Plants, Stanley L. Klemetson, William J. Grenney

Reports

No abstract provided.

Optimization Of Water Allocation, Wastewater Treatment, And Reuse Considering Nonlinear Costs, Seasonal Variations, And Stochastic Supplies, A. Bruce Bishop, Rangesan Narayanan, Suravuth Pratishthananda, Stanley L. Klemetson, William J. Grenney

Reports

Two significant, interrelated water resources problems are: (1) efficiently salvaging and reusing effluent water in order to augment limited water supplies; and (2) economically managing and treating wastewater to meet water quality standards. Using systems engineering and operations research techniques, the report focuses on the optimal management and use of water of impaired quality in a water resources system, including utilization or irrigation return flows and other poor quality water, water quantity and quality management systems, and wastewater reclamation opportunities. The study develops a mathematical programming transportation or transshipment model formulated for the Lower Jordan River Basin in Utah. The …

Process Studies And Modeling Of Self-Cleaning Capacity Of Mountain Creeks For Recreation Planning And Management, Cheng-Lung Chen, Keith D. Davis

Reports

Reaeration process studies were conducted on a mountain creek and a large laboratory flume. The method of evaluating the dispersion coefficient, mean velocity, and reaeration coefficient for both creek and flume consisted of finding these values for a deoxygenated portion of the flow containing a conservative tracer (dye). The deoxygenated slug is measured as it moved downstream and the three values are best fit in the analytical solution of the longitudinal dispersion equation which dynamically describes the flow of the dispersing slug in the stream. The best fit was accomplished by using the method of least squares of the differences …

Urban Storm Runoff Inlet Hydrograph Study Volume 3: Hydrologic Data For Two Urban Highway Watersheds In The Salt Lake City Area, Utah, Joel E. Fletcher, Cheng-Lung Chen

Reports

The main objective of this study is to develop an accurate design method for computing inlet hydrographs of surface runoff, with average recurrence intervals of 10, 25, and 50 years, from typical urban highway by flood routing technique. Hydrologic data such as the rainfall intensity, runoff flow rate, air temperature, wind velocity, and soil moisture content were collected during rainfall seasons in 1972 and 1973 on two urban highway watersheds in the Salt Lake City area, Utah. These data were used in the verification of a mathematical model simulating the surface runoff from such highway watersheds. The difficulties and inherent …

Urban Storm Runoff Inlet Hydrograph Study, Volume 5, Soil-Cover-Moisture Complex: Analysis Of Parametric Infiltration Models For Highway Sideslopes, Cheng-Lung Chen

Reports

The main objective of this study is to develop an accurate design method for computing inlet hydrographs of surface runoff, with average recurrence intervals of 10, 25, and 50 years, from typical urban highway by flood routing technique. The boundary-value problem of one-dimensional infiltration resulting from rainfall is formulated and solved numerically on a digital computer. The numerical solutions of this idealized mathematical model is used as a basic testing tool in the subsequent analysis of various parametric infiltration models including the Green-Ampt, Kostiakov, Philip, Horton, and Holtan equations. The time of ponding is shown to be the most important …

A Field Technique Measuring Virus Decay And Potential Aerosol Hazard From Wastewater Sprinkler Irrigation, Michael F. Torpy, Robert A. Gearheart, J. Clifton Spendlove, Rex S. Spendlove

Reports

The increased use of domestic wastewater for irrigation purposes has stimulated a growing practice of sprinkler irrigating from oxidation ponds and other domestic wastewaters. Aerosols generated from these sprinkler irrigation systems may contain potentially hazardous pathogens. Subsequently, the aerosols can contain infective viruses which can be carried through the air to surrounding populations. Thus, a public health hazard can be created by sprinkler irrigating domestic wastewater. This study is an investigation of a means by which the virus decay rate of viruses in aerosols and the potentials hazard of sprinkler irrigation aerosol clouds may be examined. A means of injection …

The Impact Of Seed Consumers In A Desert Ecosystem, W. G. Whitford

Memorandum

No abstract provided.

Nitrogen And Phosphorus Constraints On Primary Production In The Great Basin Desert, J. J. Jurinak, D. W. James, R. L. Evans

Memorandum

No abstract provided.

Decomposition And Mineralization In An Artemisia Tridentata Community In Northern Nevada, P. L. Comanor

Memorandum

No abstract provided.

Effect Of Soil Water Potential On Soil Moisture Absorption, Transpiration Rate, Plant Water Potential And Growth For Artemisia Tridentata, G. S. Campbell, G. S. Harris

Memorandum

No abstract provided.