Statistics Research Papers/Topics

Models For Sequentially Selecting Between Two And Three Experiments For Optimal Estimation Of Prevalence Rate With Imperfect Tests

ABSTRACT The idea of pool testing originated from Dorfman during the World War II as an economical method of testing blood samples of army inductees in order to detect the presence of infection. Dorfman proposed that rather than testing each blood sample individually, portions of each of the samples can be pooled and the pooled sample tested first. If the pooled sample is free of infection, all inductees in the pooled sample are passed with no further tests otherwise the remaining portions o...

Estimation Of Parameters Of The Mcdonald Generalized Beta - Binomial Distribution Using Estimating Functions

ABSTRACT Recently, there has been a considerable attention on modeling overdispersed binomial data that occur in toxicology, biology, clinical medicine, epidemiology and other related fields using a class of Binomial mixture distribution. Specifically, Beta-Binomial (BB) and KumaraswamyBinomial distribution (KB) in this class have been extensively used to model the overdispersed Binomial outcomes. A new three parameter binomial mixture distribution namely, McDonald Generalized Beta-Binomial ...

Efficiency Evaluation In Modelling Stock Data Using Arch And Bilinear Models

ABSTRACT Modelling of stock market data has witnessed a significant increase in literature over the past two decades. Focus has been mainly on the use of the ARCH model with its various extensions due to its ability to capture heteroscedasticity prevalent in the financial and monetary variables. However, other suitable models like the bilinear models have not been exploited to model stock market data so as to determine the most efficient model between the ARCH and bilinear models. The underl...

Computational Statistical Model For Group Testing With Retesting

ABSTRACT Screening of pooled urine specimen was suggested during the Second World War as a method for reducing the cost of detecting syphilis in U.S. soldiers. Recently, pooling has been used in epidemiological studies for screening of human immunodeficiency virus HIV/AIDS antibody to help curb the spread of the virus. Pooling reduces the cost but also – and more importantly – offers a feasible way to lower the misclassifications associated with labeling specimens when imperfect tests are...

Short Time Series Modelling: An Application To Kenyan Political Opinion Polls And The Nairobi Stock Exchange Market Data

ABSTRACT Modeling of time series with many observations has been a focus of considerable research both in theoretical and empirical applications over the last three decades. However, the problem of short time series modeling has not so far been adequately studied both in theory and practical applications, despite the fact that many real life situations involve fewer observations leading to short time series. This calls for making use of appropriate estimation techniques in order to come up wi...

Models For Sequentially Selecting Between Two And Three Experiments For Optimal Estimation Of Prevalence Rate With Imperfect Tests

ABSTRACT The idea of pool testing originated from Dorfman during the World War II as an economical method of testing blood samples of army inductees in order to detect the presence of infection. Dorfman proposed that rather than testing each blood sample individually, portions of each of the samples can be pooled and the pooled sample tested first. If the pooled sample is free of infection, all inductees in the pooled sample are passed with no further tests otherwise the remaining portions of...

Optimal Allocation Of Farm Tractors: A Case Study Of Benue State Tractor Hiring Agency (BENTHA)

ABSTRACT Benue State Tractor Hiring Agency (BENTHA) is usually confronted with the problem of determining the optimum number of tractors to be allocated to different zones in the state. The number of tractors allocated to a zone is normally decided without any proper study of tractor needs of the zones. Sometimes allocation is based on merely political considerations. The problem of allocation is formulated and heuristic procedures are applied to optimally allocate the limited tractors.

Online Buying Behavior Among Maasai Mara University Students Using Logistic Regression Model

ABSRACT Primarily, the project has focused on finding out the Online Buying trends and behavior of Maasai Mara university consumers with an age range of 18- 25 years. The proposed primary objective of the study was further divided into secondary objectives with an aiming of finding detailed information on the research topic. Precisely, information regarding buyer’s buying frequency, average spending, and famous product purchase was gathered. Since the objectives were quantifiable, a quantit...

Seasonal Responses Of Total Antioxidant Level In Cultivated Tea To Fertilizer

ABSTRACT The research was conducted to find out whether applying fertilizer to tea at specific season of the year will affect the level of antioxidant. The main objective of the research was to determine the correlation between the level of antioxidant in tea and the season at which fertilizer was applied. Secondary data was obtained from James Finlay Kenya Limited with the authority of Applied Research Department. Trials of NPK fertilizer were conducted during the four seasons of the year: d...

Estimation Of Variation About The Mean Using Geometric Measure

ABSTRACT A measure of dispersion is a statistical tool used to define the distribution of various datasets mainly from measures of central tendency. Some notable measures of dispersion from the mean are; average deviation, mean deviation, variance, and standard deviation. However, from previous studies, it has been established that the aforementioned measures are not absolutely perfect in estimating average variation from the mean. For instance, variance gives estimates which are of different...

Influence Of Human Resource Management Practices On Growth Of Sacco Societies In South Rift Region

ABSTRACT Human Resource Management (HRM) practices will continually attract the attention of researchers in pursuit of better ways to counter the emerging challenges that can undermine the growth of the organizations. The research will be carried out to examine the influence of human resource management practices on the growth of Savings and Credit cooperative societies (Sacco societies) in South Rift Region. The study will examine the relationship among the factor variables which are; select...

Determination Of Actuarial Costing On Non-Remitted Contribution For A Defined Contribution Scheme

ABSTRACT Income accrued from Retirement Benets Fund is an exceptionally important component of every working individual's life cycle globally. The major sources of such income are: unfunded state pensions; funded private pensions; mandatory schemes; and post-retirement work. The urgency and importance has made many countries to give it considerable attention by enacting enabling laws and policies to safeguard it. In Kenya, steps have been made by establishing the National Social Security Fund...

A Mathematical Model For The Optimal Control Of Trypanosomiasis In A Cattle Population.

Abstract Trypanosomiasis is a debilitating disease which is a major constraint to livestock production in sub-Saharan Africa. It leads to loss of productivity in animals and without treatment it is frequently fatal. The economic and social repercussions it causes in areas where it is endemic, makes its control a priority operation. In this study we formulate three models; a basic model to understand the transmission dynamics of the trypanosomiasis in a cattle population, a model with treatmen...

Discriminant Analysis Of Factors That Have Led To Slow Decline Of Hiv/Aids Prevalence: Case Study Of Maseno

ABSTRACT HIV/AIDS epidemic has endangered the development of countries in this new century, presenting one of the greatest challenges of this generation and threatening human development. To accomplish an efficient response requires many researches to find long term solutions. Though its prevalence has declined in the past years, it is still very high in particular regions due to various factors. This research analysed major factors associated with HIV/AIDS prevalence in Maseno Community. If ...

Arima Model For Forecasting Of Monthly Rainfall And Temperature In The Lake Victoria Basin

Abstract Economic activities in Lake Victoria Basin such as agriculture, sh- ing, mining and transportation depend's heavily on the climatic conditions of the Lake and its Basin. Global climatic change caused by Greenhouse Gas emission (GHG) has resulted in a disruptive and erratic weather pattern for these economic activities. This unpre- dictable weather variations is responsible for loss of life and destruc- tion of property. The primary cause of this negative impact is lack of a reliable ...


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