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MEASURING ASSOCIATION
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Dr. Romeo S. Gundran
Professor
College of Veterinary Science and Medicine
Central Luzon State University
Topic Outline
1. Determinants of disease
2. The concept of risk and risk factors
3. The 2x2 Table
4. Investigation of risk factors in
epidemiological studies
5. Calculation and interpretation of Relative
Risk (RR) and Odds Ratio (OR)
PCAARRD Training, 23-27 May 2016, Central Luzon State University
EPIDEMIOLOGY
FREQUENCY DISTRIBUTION DETERMINANTS
Morbidity Rate
• Prevalence
• Incidence
Mortality Rate
• Crude Mortality, Case-fatality
• Cause-specific, Proportionate
Animal
Spatial
Temporal
Risk Factors
Frequency, distribution, and
determinants of health and disease in
populations (Martin et al, 1987)
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Disease Determinant
• A determinant is any factor or variable that
can affect the frequency with which a
disease occurs in a population.
• Synonym: Risk factor
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Measuring Association
Field Epidemiology Training Program for Veterinarians, 13-17 July 2015, Bangkok, Thailand
The epidemiologic triangle
Agent, Host, Environment
AGENT
• Infectivity
• Pathogenicity
• Virulence
• Antigenic
variation
• Host range
• Reservoir
HOST
• Age, Species
• Breed, Sex
• Body Size
• Behavior
• Coat color
• Use
• Nutritional
status
• Existing
infections
ENVIRONMENT
• Climate
• Housing
• Water
• Location
• Pollution
• Overcrowding
• Vectors
• Floods
• Husbandry
practices
Necessary and Sufficient Causes
• Necessary cause: must be present for a
disease to occur
• Sufficient cause: a set of minimal conditions
and events inevitably producing disease
where all exposed individuals inevitably
become cases.
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Sufficient cause and component causes
A sufficient cause
comprises a range
of component
causes which
makes the disease
multifactorial.
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Component causes include factors that can be
classified as follows:
1. Predisposing factors
• increase the level of susceptibility, e.g. age, sex,
immune status, previous illness, environment
2. Enabling factors
• facilitate manifestation of a disease
e.g. housing, nutrition, climate
3. Precipitating factors
• associated with the definitive onset of disease
e.g. toxic and infectious agents, physical trauma
4. Reinforcing factors
• aggravate the presence of a disease
e.g. repeated exposure to an infectious
agent in the absence of immunity
Risk
Factor
PCAARRD Training, 23-27 May 2016, Central Luzon State University
RISK FACTOR
• An attribute or exposure that increases the
probability of occurrence of disease
• Any factor which on the basis of
epidemiologic evidence is known to be
associated with health-related condition(s)
considered important to prevent.
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Why identify Risk Factors
• If we can identify factors that are associated
with (or causing) disease then we can help plan
a logical intervention or control measures.
• Managing the risk means managing the
disease
Surveillance Identify Risk
Factors
Intervention
Measures
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Surveillance Identify Risk
Factors
Intervention
Measures
Objectives of Surveillance
1. Describe the level or distribution of disease
or risk factors for disease
2. Assess the progress of disease control or
eradication programs
3. Detect the incursion of new, emerging or exotic
diseases or pathogens, or their risk factors
4. Demonstrate freedom from disease or
pathogens.
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Parts of a Questionnaire
1. Identifying Information
2. Farm Information
3. Clinical Information
4. Risk Factor Information
5. Source of the Information
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Example of Risk Factor Information
1. Proximity to Other Farms
2. Proximity to Slaughterhouses
3. Selling of Animals to Middlemen
4. Sources of Stocks
5. Feed Source
6. Vaccination History
7. People Entering the Farm
8. Biosecurity Measures
9. Farmer’s Knowledge, Attitude and Practices
PCAARRD Training, 23-27 May 2016, Central Luzon State University
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Can you Identify the Exposures and Outcomes
• PRRS
– are pigs vaccinated with live virus vaccine-Porcilis
likely to have active PRRSV infection compared
with pigs that received other vaccine?
• Hog Cholera
– are pigs on swill feeding more likely to get Hog
Cholera compared with pigs on commercial feeds?
• Surra
– are native buffaloes less likely to develop Surra
compared with purebred?
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Can you identify the Exposures and Outcomes
• PRRS
– are pigs vaccinated with live virus vaccine-Porcilis
likely to have active PRRSV infection compared
with pigs that received other vaccine?
• Hog Cholera
– are pigs on swill feeding more likely to get Hog
Cholera compared with pigs on commercial feeds?
• Surra
– are native buffaloes less likely to develop Surra
compared with purebred?
Exposures
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Can you identify the Exposures and Outcomes
• PRRS
– are pigs vaccinated with live virus vaccine-Porcilis
likely to have active PRRSV infection compared
with pigs that received other vaccine?
• Hog Cholera
– are pigs on swill feeding more likely to get Hog
Cholera compared with pigs on commercial feeds?
• Surra
– are native buffaloes less likely to develop Surra
compared with purebred?
Outcomes
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Epidemiological Studies to Identify Causal Association
Cross-Sectional Study
Prevalence
Prevalence Ratio
Prevalence Difference
Odds Ratio
Cohort Study
Incidence Risk
Incidence Rate
Risk Ratio, Rate Ratio
Odds Ratio
Case-Control Study
Odds Ratio
Measures Used in Various Epidemiologic Studies
PCAARRD Training, 23-27 May 2016, Central Luzon State University
From association to cause-effect relationship
The primary objective in
epidemiology is to
evaluate whether an
association between
exposure and disease is,
in fact, causal.
PCAARRD Training, 23-27 May 2016, Central Luzon State University
2 x 2 array representing disease status and the
presence or absence of risk factors
Diseased (D+) No Disease (D-)
Risk Factor
Present (F+)
Diseased with
Risk Factor
No Disease
with Risk Factor
Total with Risk
Factor
Risk Factor
Absent (F-)
Diseased
without Risk
Factor
No Disease
without Risk
Factor
Total without
Risk Factor
Total Diseased Total Non-
Diseased
Total All
Animals
The 2x2 Table
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Relative Risk
• Relative Risk (RR; risk ratio, cumulative
incidence ratio) is used if the following
question is asked:
• How many times more (or less) likely are
exposed individuals to get the disease
relative to nonexposed individuals?
PCAARRD Training, 23-27 May 2016, Central Luzon State University
• It is calculated as the ratio of
incidence risk between exposed
and non-exposed individuals.
• RR = Ie/Iu
Calculation of Relative Risk
PCAARRD Training, 23-27 May 2016, Central Luzon State University
INTERPRETATION
• The disease is RR times more likely to
occur among those exposed to the
suspected risk factor than among those
with no such exposure.
Interpretation of Relative Risk
PCAARRD Training, 23-27 May 2016, Central Luzon State University
• RR = 1: no association exists between occurrence of
disease and exposure to the factor
• RR > 1: the exposure is positively associated to the
disease (risk-factor)
• RR < 1: the exposure is negatively associated to the
disease (preventive/sparing/protective factor)
Interpretation of Relative Risk
PCAARRD Training, 23-27 May 2016, Central Luzon State University
• The odds ratio (OR; Crossproduct
Ratio) is calculated as the ratio
between the odds of disease in
exposed individuals and the odds of
disease in non-exposed individuals.
Odds Ratio
PCAARRD Training, 23-27 May 2016, Central Luzon State University
• OR = 1 no association exists between
occurrence of disease and exposure to the
factor
• OR > 1 the factor is positively associated with
the disease (risk-factor)
• OR < 1 the factor is negatively associated with
the disease (preventive/sparing/protective
factor)
Interpretation of Odds Ratio
PCAARRD Training, 23-27 May 2016, Central Luzon State University
What is the incidence in the chickens that ate the
suspect feed?
What is the incidence in the chickens that did not eat
the suspect feed?
What is the relative risk for the chickens that ate the
suspect feed?
Interpretation: The risk of becoming ill was 36 times
higher for those chickens that ate the suspect feed than
for those that did not.
PCAARRD Training, 23-27 May 2016, Central Luzon State University
PRRS+ PRRS-
With Mycotoxin
in Feed
100 11 111
Without
Mycotoxin in
Feed
30 57 87
130 68 198
RR = (a/a+b) / (c/c+d)
OR = (a*d) / (b*c)
a b
c d
Risk Factor Identification in PRRS Surveillance
PCAARRD Training, 23-27 May 2016, Central Luzon State University
PRRS+ PRRS-
With Mycotoxin
in Feed
100 11 111
Without
Mycotoxin in
Feed
30 57 87
130 68 198
Risk Factor Identification in PRRS Surveillance
OR = (a*d) / (b*c)
a b
c d
OR = (100* 57) / (11*30)
= 17.27
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Risk Factor Identification in PRRS Surveillance
OR = (a*d) / (b*c)
OR = (100* 57) / (11*30)
= 17.27
PCAARRD Training, 23-27 May 2016, Central Luzon State University
PRRS+ PRRS-
With Mycotoxin
in Feed
50 61 111
Without
Mycotoxin in
Feed
30 57 87
130 68 198
Risk Factor Identification in PRRS Surveillance
OR = (a*d) / (b*c)
a b
c d
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Risk Factor Identification in PRRS Surveillance
Field Epidemiology Training Program for Veterinarians, 13-17 July 2015, Bangkok, Thailand
Is there a significant
association between
mycotoxin in feed
and PRRS?
PCAARRD Training, 23-27 May 2016, Central Luzon State University
PRRS + PRRS - Total
Vaccinated 29 11
Unvaccinated 17 6
Total
• Calculate the OR
• OR = (a*d) / (b*c)
Sparing/Protective/Preventive Factor
PCAARRD Training, 23-27 May 2016, Central Luzon State University
PRRS + PRRS - Total
Vaccinated 29 11 40
Unvaccinated 17 6 23
Total 46 17 63
• Calculate the RR and OR
OR = (29* 6) / (11* 17)
= 0.93
Is vaccination a preventive factor in this case?
Sparing/Protective/Preventive Factor
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Sparing/Protective/Preventive Factor
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Province Positives N Seroprevalence OR
Batangas 221 500 44.20 3.333
Bulacan 515 750 68.67 9.222
Cavite 201 418 48.09 3.898
Laguna 205 426 48.12 3.904
Nueva Ecija 169 332 50.90 4.363
Pampanga 147 210 70.00 9.819
Pangasinan 96 500 19.20 1
Quezon 46 104 44.23 3.338
Rizal 248 423 58.63 5.964
Tarlac 151 187 80.75 17.650
1999 3850 51.92
Seroprevalence and Odds Ratio for PRRS in 10 Provinces
PRRS+ PRRS- N
Pampanga 147 a b 63 210
Pangasinan 96 c d 404 500
OR = ad/bc = 59,388 = 9.819
6,048
2x2 table showing the computation of
Odds Ratio of PRRS in Pampanga using
Pangasinan as reference
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Tools to Use: 2x2 Table Using Excel
• Calculations using Excel
• Ready to use – just enter
data in the highlighted
area
PCAARRD Training, 23-27 May 2016, Central Luzon State University
Tools to Use: Epi Tools (Online Software)
PCAARRD Training, 4-8 May 2015, Central Luzon State UniversityPCAARRD Training, 23-27 May 2016, Central Luzon State University
Tools to Use: Epi-Info Statcalc Function
PCAARRD Training, 4-8 May 2015, Central Luzon State UniversityPCAARRD Training, 23-27 May 2016, Central Luzon State University
Tools to Use: Epi-Info Logistic Regression Function
PCAARRD Training, 4-8 May 2015, Central Luzon State UniversityPCAARRD Training, 23-27 May 2016, Central Luzon State University
Use Pivot Table
Fruit Salad Vanilla
52
Thank You
for Your
Attention!

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Measuring Association

  • 1. MEASURING ASSOCIATION PCAARRD Training, 23-27 May 2016, Central Luzon State University Dr. Romeo S. Gundran Professor College of Veterinary Science and Medicine Central Luzon State University
  • 2. Topic Outline 1. Determinants of disease 2. The concept of risk and risk factors 3. The 2x2 Table 4. Investigation of risk factors in epidemiological studies 5. Calculation and interpretation of Relative Risk (RR) and Odds Ratio (OR) PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 3. EPIDEMIOLOGY FREQUENCY DISTRIBUTION DETERMINANTS Morbidity Rate • Prevalence • Incidence Mortality Rate • Crude Mortality, Case-fatality • Cause-specific, Proportionate Animal Spatial Temporal Risk Factors Frequency, distribution, and determinants of health and disease in populations (Martin et al, 1987) PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 4. Disease Determinant • A determinant is any factor or variable that can affect the frequency with which a disease occurs in a population. • Synonym: Risk factor PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 5. Measuring Association Field Epidemiology Training Program for Veterinarians, 13-17 July 2015, Bangkok, Thailand
  • 7.
  • 8. Agent, Host, Environment AGENT • Infectivity • Pathogenicity • Virulence • Antigenic variation • Host range • Reservoir HOST • Age, Species • Breed, Sex • Body Size • Behavior • Coat color • Use • Nutritional status • Existing infections ENVIRONMENT • Climate • Housing • Water • Location • Pollution • Overcrowding • Vectors • Floods • Husbandry practices
  • 9. Necessary and Sufficient Causes • Necessary cause: must be present for a disease to occur • Sufficient cause: a set of minimal conditions and events inevitably producing disease where all exposed individuals inevitably become cases. PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 10. Sufficient cause and component causes A sufficient cause comprises a range of component causes which makes the disease multifactorial. PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 11. Component causes include factors that can be classified as follows: 1. Predisposing factors • increase the level of susceptibility, e.g. age, sex, immune status, previous illness, environment 2. Enabling factors • facilitate manifestation of a disease e.g. housing, nutrition, climate 3. Precipitating factors • associated with the definitive onset of disease e.g. toxic and infectious agents, physical trauma 4. Reinforcing factors • aggravate the presence of a disease e.g. repeated exposure to an infectious agent in the absence of immunity Risk Factor PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 12. RISK FACTOR • An attribute or exposure that increases the probability of occurrence of disease • Any factor which on the basis of epidemiologic evidence is known to be associated with health-related condition(s) considered important to prevent. PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 13. Why identify Risk Factors • If we can identify factors that are associated with (or causing) disease then we can help plan a logical intervention or control measures. • Managing the risk means managing the disease Surveillance Identify Risk Factors Intervention Measures PCAARRD Training, 23-27 May 2016, Central Luzon State University Surveillance Identify Risk Factors Intervention Measures
  • 14. Objectives of Surveillance 1. Describe the level or distribution of disease or risk factors for disease 2. Assess the progress of disease control or eradication programs 3. Detect the incursion of new, emerging or exotic diseases or pathogens, or their risk factors 4. Demonstrate freedom from disease or pathogens. PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 15. Parts of a Questionnaire 1. Identifying Information 2. Farm Information 3. Clinical Information 4. Risk Factor Information 5. Source of the Information PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 16. Example of Risk Factor Information 1. Proximity to Other Farms 2. Proximity to Slaughterhouses 3. Selling of Animals to Middlemen 4. Sources of Stocks 5. Feed Source 6. Vaccination History 7. People Entering the Farm 8. Biosecurity Measures 9. Farmer’s Knowledge, Attitude and Practices PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 17. PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 18. Can you Identify the Exposures and Outcomes • PRRS – are pigs vaccinated with live virus vaccine-Porcilis likely to have active PRRSV infection compared with pigs that received other vaccine? • Hog Cholera – are pigs on swill feeding more likely to get Hog Cholera compared with pigs on commercial feeds? • Surra – are native buffaloes less likely to develop Surra compared with purebred? PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 19. Can you identify the Exposures and Outcomes • PRRS – are pigs vaccinated with live virus vaccine-Porcilis likely to have active PRRSV infection compared with pigs that received other vaccine? • Hog Cholera – are pigs on swill feeding more likely to get Hog Cholera compared with pigs on commercial feeds? • Surra – are native buffaloes less likely to develop Surra compared with purebred? Exposures PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 20. Can you identify the Exposures and Outcomes • PRRS – are pigs vaccinated with live virus vaccine-Porcilis likely to have active PRRSV infection compared with pigs that received other vaccine? • Hog Cholera – are pigs on swill feeding more likely to get Hog Cholera compared with pigs on commercial feeds? • Surra – are native buffaloes less likely to develop Surra compared with purebred? Outcomes PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 21. Epidemiological Studies to Identify Causal Association
  • 22. Cross-Sectional Study Prevalence Prevalence Ratio Prevalence Difference Odds Ratio Cohort Study Incidence Risk Incidence Rate Risk Ratio, Rate Ratio Odds Ratio Case-Control Study Odds Ratio Measures Used in Various Epidemiologic Studies PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 23. From association to cause-effect relationship The primary objective in epidemiology is to evaluate whether an association between exposure and disease is, in fact, causal. PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 24. 2 x 2 array representing disease status and the presence or absence of risk factors Diseased (D+) No Disease (D-) Risk Factor Present (F+) Diseased with Risk Factor No Disease with Risk Factor Total with Risk Factor Risk Factor Absent (F-) Diseased without Risk Factor No Disease without Risk Factor Total without Risk Factor Total Diseased Total Non- Diseased Total All Animals The 2x2 Table PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 25. Relative Risk • Relative Risk (RR; risk ratio, cumulative incidence ratio) is used if the following question is asked: • How many times more (or less) likely are exposed individuals to get the disease relative to nonexposed individuals? PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 26. • It is calculated as the ratio of incidence risk between exposed and non-exposed individuals. • RR = Ie/Iu Calculation of Relative Risk PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 27. INTERPRETATION • The disease is RR times more likely to occur among those exposed to the suspected risk factor than among those with no such exposure. Interpretation of Relative Risk PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 28. • RR = 1: no association exists between occurrence of disease and exposure to the factor • RR > 1: the exposure is positively associated to the disease (risk-factor) • RR < 1: the exposure is negatively associated to the disease (preventive/sparing/protective factor) Interpretation of Relative Risk PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 29. • The odds ratio (OR; Crossproduct Ratio) is calculated as the ratio between the odds of disease in exposed individuals and the odds of disease in non-exposed individuals. Odds Ratio PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 30. • OR = 1 no association exists between occurrence of disease and exposure to the factor • OR > 1 the factor is positively associated with the disease (risk-factor) • OR < 1 the factor is negatively associated with the disease (preventive/sparing/protective factor) Interpretation of Odds Ratio PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 31.
  • 32. What is the incidence in the chickens that ate the suspect feed? What is the incidence in the chickens that did not eat the suspect feed? What is the relative risk for the chickens that ate the suspect feed? Interpretation: The risk of becoming ill was 36 times higher for those chickens that ate the suspect feed than for those that did not.
  • 33. PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 34. PRRS+ PRRS- With Mycotoxin in Feed 100 11 111 Without Mycotoxin in Feed 30 57 87 130 68 198 RR = (a/a+b) / (c/c+d) OR = (a*d) / (b*c) a b c d Risk Factor Identification in PRRS Surveillance PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 35. PRRS+ PRRS- With Mycotoxin in Feed 100 11 111 Without Mycotoxin in Feed 30 57 87 130 68 198 Risk Factor Identification in PRRS Surveillance OR = (a*d) / (b*c) a b c d OR = (100* 57) / (11*30) = 17.27 PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 36. Risk Factor Identification in PRRS Surveillance OR = (a*d) / (b*c) OR = (100* 57) / (11*30) = 17.27 PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 37. PRRS+ PRRS- With Mycotoxin in Feed 50 61 111 Without Mycotoxin in Feed 30 57 87 130 68 198 Risk Factor Identification in PRRS Surveillance OR = (a*d) / (b*c) a b c d PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 38. Risk Factor Identification in PRRS Surveillance Field Epidemiology Training Program for Veterinarians, 13-17 July 2015, Bangkok, Thailand Is there a significant association between mycotoxin in feed and PRRS? PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 39. PRRS + PRRS - Total Vaccinated 29 11 Unvaccinated 17 6 Total • Calculate the OR • OR = (a*d) / (b*c) Sparing/Protective/Preventive Factor PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 40. PRRS + PRRS - Total Vaccinated 29 11 40 Unvaccinated 17 6 23 Total 46 17 63 • Calculate the RR and OR OR = (29* 6) / (11* 17) = 0.93 Is vaccination a preventive factor in this case? Sparing/Protective/Preventive Factor PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 41. Sparing/Protective/Preventive Factor PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 42. Province Positives N Seroprevalence OR Batangas 221 500 44.20 3.333 Bulacan 515 750 68.67 9.222 Cavite 201 418 48.09 3.898 Laguna 205 426 48.12 3.904 Nueva Ecija 169 332 50.90 4.363 Pampanga 147 210 70.00 9.819 Pangasinan 96 500 19.20 1 Quezon 46 104 44.23 3.338 Rizal 248 423 58.63 5.964 Tarlac 151 187 80.75 17.650 1999 3850 51.92 Seroprevalence and Odds Ratio for PRRS in 10 Provinces
  • 43. PRRS+ PRRS- N Pampanga 147 a b 63 210 Pangasinan 96 c d 404 500 OR = ad/bc = 59,388 = 9.819 6,048 2x2 table showing the computation of Odds Ratio of PRRS in Pampanga using Pangasinan as reference PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 44. Tools to Use: 2x2 Table Using Excel • Calculations using Excel • Ready to use – just enter data in the highlighted area PCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 45. Tools to Use: Epi Tools (Online Software) PCAARRD Training, 4-8 May 2015, Central Luzon State UniversityPCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 46. Tools to Use: Epi-Info Statcalc Function PCAARRD Training, 4-8 May 2015, Central Luzon State UniversityPCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 47. Tools to Use: Epi-Info Logistic Regression Function PCAARRD Training, 4-8 May 2015, Central Luzon State UniversityPCAARRD Training, 23-27 May 2016, Central Luzon State University
  • 48.
  • 51.
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