Statistical Analysis Of Incidence Of Hiv/aids Pandemic In Nigeria From 1996 – 2005

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1996 – 2005



          The cam of this study was to examine the incidence of HIV/AIDS in Nigeria.   This study started with attempt to state the problem that motivated the study.

          The study was done to access critically the impact of HIV/AIDS in Nigeria and the effort toward reducing it.  The method hypothesis was tested with use of kruskal wallis multiple comparism test, sign test and test for goodness of fit.  In this test, the null hypothesis of the first two test was rejected while the later was accepted rise in the reported cases of HIV/AIDS in Nigeria.

          We also conclude that there are differences in the age distribution of people living with HIV/AIDS in Nigeria and that the rate of occurrence is not the same in male and female.  Also is 39 age class are mostly affected.

          The following recommendation were made, that specific measures should be adopted such as provision of safe blood transfusion etc, employment opportunities should be provided for youths to discourage them from prostitution and drug abuse, men and women should change their sexual behaviours and government should take urgent step to avoid decrease in population, frustration etc.



Title page

Approval page




Table of contents



1.1          Introduction

1.1.1    What is aids

1.2          Background of the study

1.2.1    The origin of aids

1.2.2    Causes of aids

1.2.3    Symptoms of aids

1.2.4    Mode of spread of aids

1.2.5    How t o avoid aids

1.2.6    Cure for aids

1.3          Motivation

1.4          Aims and objective of the study

1.5          Significance of the study

1.6          Hypothesis

1.7          The scope of study

1.8          Definitions of terms



2.0          Literature Review



3.0          Research methodology

3.1     The sign test

3.2          Exponential model

3.3          Procedure to follow to get the residual variance estimate (s2)

3.4          Test of hypothesis

3.5          Test of goodness of fit

3.6          Source of data

3.7          Method of data collection

3.8          Limitation of data

3.9          Data presentation



4.1          Analysis Of Data

4.1.0  Preliminary Analysis

4.1.1    Graphical Display Of The Data

4.1.2    Representation Of Data (Classified By Age As A Bar Chart)

4.2     Comparism   Using Kruskai Wallis Test

4.3     To Find the Age That Has the Higher Reported Cases Using Test Of Proportion

4.4          Using sign test

4.5          Fitting the exponential model

4.6          Estimate of likely number of people to live with hiv/aids

4.7          Test for significance of the regression coefficient b1

4.8          Test for goodness of fit


5.1          Summary of findings and conclusion

5.2          Conclusion





          Acquired Immune Deficiency Syndrome (AIDS) is the most unwelcome visitor of the 20th Century.  It has been disturbing and posing a great threat to human race and world population.  Since the discovery of AIDS in 1981 in America, there has been tremendous rise in the cases the number of deaths.  The prediction of doom by some local and international organization like the United Nations is turning into reality.  The future is so uncertain as to what will become of developing countries like Nigeria where the scourge is gradually taking its tell on the population.



          AIDS is a very serious disease that affects the body’s ability of defend itself against certain other diseases.  It caused by virus HIV (Human Immune Deficiency Virus).  It is retrovirus which affects and takes over certain cells of the immune system.  The HIV virus penetrates immunity enhancing cells.  It then makes new copies of itself and from there, goes on infecting other immunity cell.  This causes the infected cell to function improperly and prematurely.  This leads to weakening of the immune system thereby permitting all kinds of infection.


1.2               BACKGROUND OF THE STUDY


          No one knows exactly where the AIDS virus came from but many scientist think it originated in Africa.  One theory is that AIDS virus evolved from a similar, through harmless virus found in African Green Monkey.  According to this theory, soemtime in the past, one of the monkey viruses underwent a change mutatim that enabled it to survive in the human body.  This mutation was passed on to the virus’s “offspring” and eventually same of the mutated viruses found their way into the human body, perhaps as a result of a person being bitten by a eating a monkey (monkey brains are popularly found in Africa).  Once inside the human body, the virus may have mutated further until it become the virus known today as the AIDS virus.  Regardless of exactly where it started, AIDS is now a world wide problem.

AIDS was first discovered in America in the year 1981 by Dr. Montegor of the California University.  But today, AIDS has been reported in over 100 countries of the world.



          Most scientists believe that AIDS is caused by a type of germ known as a virus.  The virus has been given a number of different scientific names including: HTL V – III, LAV, ARV and HIV.  The most commonly known among these is HIV.

HIV stands for

H       -         Human

I         -         Immunodeficiency

V       -         Virus



          It depends on which disease the person develops as the immune system break down.

Most common symptoms are:

i.                Prolonged diarrhea

ii.              Swollen Lymph glands in the neck, armpits or elsewhere

iii.            Unexplained weight loss

iv.            Persistent dry cough

v.              Severe skin rashes which comes and goes

vi.            Night sweat

vii.          Extreme tiredness

viii.        White patches inside the mouth

ix.            Shortness of breath

x.              Proneness to different kinds of diseases like tuberculosis, cancer, pneumonia, chest infection, Meningitis.



i.                Sexual Intercourse (homo, heterc)

ii.              Prenatal transmission from mother to new born

iii.            Blood transfusion

iv.            Use of unsterilized equipment and contaminated needle

v.              Contact with blood of infected person


i.                Avoid casual sex

ii.              Use condom if you must do it

iii.            Treat sexually transmitted disease (STD) immediately

iv.            Use screened blood and blood products

v.              Use sterilized equipment



          Although a lot of claims have been made concerning discovery of cure of AIDS, there is AS YET, NO CURE OR VACCINE FOR AIDS. Only symptoms or diseases manifested by AIDS have cure that can prolong the life of the HIV Patient for a year or two.  But, they are extremely expensive, costing over $1,000 - $6,000 for a years does.  Thus, the way to combat AIDS is prevention through enlightenment.



          An epidemic is a disease out break for a period of time in a particular place or community.  And a pandemic is a disease outbreak across the globe.  HIV/AIDS is much worse than a pandemic.  An epidemic is controlled after sometime.  But even 241 years into the pandemic, the number of people affected by HIV/AIDS continues to grow at a phenomenal rate. HIV/AIDS simply spreads like wildfire.  According to the United Nations Agency in AIDS (UNAIDS) nearly 5.5 million Nigerians live with HIV and an estimate of 350 thousand Nigerians have died of AIDS with more than 2.1 million children orphaned presently.

          Nigeria has prevalence rate of 5.4 percent and comparatively one Nigerian is infected with HIV every minute.  Nigerians aged 15 – 39 account for more than 70% of all infections.  Nearly 85 percent of all HIV transmission occur through heterosexual contact.  It is clear that HIV/AIDS disproportionately agewise, affect future leaders of Nigeria.  The above information motivated me to ascertain how the pandemic is devastating the various are classes and whether the huge amount of money invested on the campaign against the pandemic by the federal, state and World Health Organization have any significant effect on the rate of spread of HIV over the years under study.



a.       To find how the pandemic affect different age classes and class making the highest contribution toward the measuring response.

b.       To determine if the HIV/AIDS cases occur more in females than males

c.       To establish the trend of reported cases of HIV/AIDS pandemic in Nigeria

d.       To forecast the expected number of HIV/AIDS victims in Nigeria in the next three (3) years.

e.       To infer valid conclusion about HIV/AIDS in Nigeria and make necessary recommendation in a way to further reducing it.



-         This research work will obviously be of great help to the government.;

-         The study will show the extent to which HIV/AIDS has affected different age classes in the country.

-         It will also reveal whether the money invested on campaigns against the HIV/AIDS pandemic has had any significant effect.

-         Lastly this work will serve as an indispensable reference material for future researches on this topic or related topics.



a)       H0 :    P1 = P2  =  - - - - - PK (There is no difference

due to age)

          H1 :    P1 ¹ - - - ¹ PK (There is difference due to age)

b)       H0 : b1 = 0 VS H1 : b1¹ 0 Where b1 is the exponential growth rate of HIV/AIDS cases.

c)       H0 : XM = YF (X and Y have identical distribution/

    the same median)


          This research study was carried out using information from internet.  This study covers reported cases of HIV/AIDS by age classes and sex for the period of ten years (1996 – 2005) in Nigeria.





IMMUNE:   This is human body protect or against infections or could be described as Anti-bodies (CD4 cell and macrophage).  These enables the human body to fight germs and bacteria.

DEFICIENCY:      When a certain human biology requirement is below or not enough for normal body functioning, it is termed deficient.  This is to say that the immune or body power to fight against any infestions on AIDS itself.

SYDROME:          This means that it presents it self in many ways and is unyielding to immediate eradication.

FBA:  Full blown AIDS, this is the final stage of HIV infestion.  The patient lasts between 6 months and 2 years or more and dies.

PWA:Persons with AIDS

HIV CARRIER:     An infested person who has net begin to manifest the symptoms.  He look normal and healthy but can infect people.  There is no manifestation of symptoms of AIDS for between 3 months of 14 years depending in the immune.  The person is suffering.  Window period: It is a period between infection with HIV virus and when the infected person test positive to HIV.  It has been discovered that infested person does not test positive immediately but after 6 months.



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