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OVERVIEW FOR EXAM 2
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Study Designs Establish Causality Generate Hypotheses
Randomized Trials Cohort Studies Case Control Studies Cross-Sectional Studies Ecologic Studies Generate Hypotheses
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Randomized Controlled Trials
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Investigator assigns exposure
Study Population Investigator assigns exposure RANDOMIZATION Exposure 1 Exposure 2 Not Improved Improved Improved Not Improved
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Situations that favor the use of a RCT
Exposure of interest is a modifiable Individuals are willing to relinquish control Genuine uncertainties regarding the effects of the interventions Effect of intervention on a rare outcome is of sufficient importance to justify a large study Potential benefits must outweigh the risks
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Typical comparison or control groups in RCTs
The Placebo (looks like intervention) Alternative treatment ‘Usual care’
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Source Population External Validity Study Population RANDOMIZED
New treatment Current treatment Internal validity
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Source population: the population to whom the results of the intervention are thought to be applicable, and from whom the study population is drawn. Study population
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Generalizability (External validity)
Internal Validity
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Consent to Participate = Study Population Decline participation
Are there significant differences between those that consent and those that do not? Source population Eligible Ineligible Consent to Participate = Study Population Decline participation Random Allocation Treatment A Treatment B Loss to follow-up? Measurement issues?
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Internal Validity Occurs when the study findings are close to the true association between exposure and disease Relies on the ability of subjects to provide valid and reliable data Mental/cognitive status, language fluency Relies on compliance with a regimen Failure to comply makes exposed and unexposed more similar Low probability of dropping out Residence, comorbidity
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External Validity Occurs when the results from the study can be applied to the larger (source) population Are there demographic differences between eligible and ineligible subgroups? Difference between those that consent and do not consent? Does your intervention mirror what will happen in the community or source population?
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MASKING (aka blinding)
Observers and/or subjects are kept ignorant Single blind or mask subjects Double blind or mask observer and subject Triple blind or mask observer, subject and analyst Helps improve internal validity of the study
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How do we analyze the results of an RCT?
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Measures of Association
• Risk Ratio: Ratio of the Cumulative Incidence among exposed versus those not exposed • Rate Ratio: Ratio of the Incidence Rate in those exposed versus those not exposed.
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Risk Ratio= a/a+b = CIdrug A / CIplacebo
Developed Disease Treatment Yes: No: Total: Drug A: a b a+b Placebo: c d c+d a+c b+d total Risk Ratio= a/a+b = CIdrug A / CIplacebo c/c+d
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Interpreting Relative Risks
RR>1 The risk of X is RR times (or RR-1=>Y%) more likely to occur in exposure A than B RR=1 Null Value (no difference between groups) RR<1 Either calculate the reduction in RR (1-RR=>Y%) or invert (1/RR) to be interpreted as “less likely” risk RR =
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Strengths of the RCT Study Population RANDOMIZATION Not exposed
Known and unknown confounders controlled for by design Know that exposure preceded disease Can estimate incidence Can study rare exposures Can study multiple outcomes Study Population RANDOMIZATION Not exposed Exposed Event No event Event No event
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Limitations of The RCT Study Population RANDOMIZATION Not exposed
Cannot study all exposures for ethical and practical reasons Inefficient for rare outcomes or outcomes with long latency periods Prospective design is expensive Prospective design can require long follow-up and if people drop out differently, internal validity can be compromised Study Population RANDOMIZATION Not exposed Exposed Event No event Event No event
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Cohort Studies
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Cohort Study Study Population Investigator Observes Or Recruits
No Exposure Exposure The researcher does not control the intervention/exposure, but instead OBSERVES its frequency and effects.
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Define comparison groups here
Cohort Study Design Disease Exposure No Disease Disease No Exposure No Disease Define comparison groups here Watch over Time
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Measuring Exposure Clear Objective Measurable
Smoked 100 cigarettes over the past month Influenza vaccine in the last month
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Measuring Outcome Clear Objective Measurable
Physician diagnosis in medical record Specified ICD codes in hospital discharge data Cause of death on death certificate
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Strengths of Cohort Studies
1. Temporality (exposure before disease) 2. Efficient for rare or unusual exposures 3. Assess multiple outcomes from a single exposure 4. Can estimate incidence
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Weaknesses of Cohort Studies
Expensive Inefficient for studying rare diseases Not good for diseases that take a long time to develop (e.g. long latency) People can change their exposure classification (unlike an RCT) Differential loss-to-follow-up between exposure groups can bias associations
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Two Main Types of Cohort Studies
Prospective Retrospective
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Prospective Cohort Design
Disease Exposure No Disease Disease No Exposure No Disease Start Here: Present Future
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Retrospective Cohort Design
Disease Exposure No Disease Disease No Exposure No Disease Past (t1) or Present or Future Past (t0)
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Prospective vs. Retrospective 10-year follow-up period
Prospective Cohort Study: Retrospective Cohort Study: Investigator begins the study Follow - Up Selection of Exposed & Unexposed Participants End of Follow Up 2003 2013 Investigator begins the study End of Follow Up 2003 1993 Strategy 1: Exposure and outcome data from records Strategy 2: Exposure data from records Outcome data assessed directly via interview or other method
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Prospective Cohort Studies
Exposure at initiation of study Outcome that may occur in future Followed over time
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Retrospective Cohort Studies
Exposure recorded in past Employment records Med records Typically not as good as in the prospective study Disease incidence (or mortality) assessed from past, present, or future Great for long latency diseases Example: Followed over 10 year conceptually but can be actually assessed in one year (e.g. through record review)
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Advantages of Retrospective Cohort Design
Timely and temporal Less expensive than Prospective cohort Good for diseases of long latency
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Disadvantages of Retrospective Cohort Design
Reliance on available information Quality? Ascertainment biases in outcomes Exposure is known
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Measures of Association for Cohort
Risk Ratio: Ratio of the cumulative incidence among exposed to cumulative incidence among unexposed Rate Ratio: Ratio of the incidence rate among exposed to incidence rate among unexposed
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How to Set Up a 2 X 2 Table with Person-Time (Incidence Rate) Data
Outcome Yes PYO Disease Rate Exposure a PYE a / PYE No c PYU c / PYU Rate Ratio = (a/PYe) / (c/PYu)
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Disease = MI Yes PYO Disease Rate Exposure = HRT 30 54,310 30 / 54,310 No 60 51,470 60 / 51,470 Rate Ratio = IRe / IRu = (a/Pye) / (c/Pyu) (30/54,310) / (60/51,470) = (protective effect) Since it is RR<1, there are three choices for interpretation: a) Use RR = 0.474 b) Invert it: 1/RR = 1 / = 2.11 c) Convert to percent reduction: = .526 = 52.6% reduction The rate of developing MI from 2000 to 2010 was 2.11 times less among HRT users compared to non-HRT users in this study in Michigan over 10 years.
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Case Control Studies
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Basic Case-Control Design is Retro
Exp Cases Not Exp Source Population Exp Controls Not Exp Controls should be as comparable to cases as possible. Controls should have an equal theoretical probably of being exposed as cases
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When to Conduct a Case-Control Study?
When the disease or outcome is rare Ex: Studying risk factors for birth defects When little is known about the disease Ex. Early studies of AIDS
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Selection of Cases Decide on a case definition
Decide whether PREVALENT or INCIDENT cases Where will you get cases? Think about who you want to generalize the results to in the future.
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Selection of Controls Controls should be as comparable to cases as possible. Age, sex, ethnicity, geography, income, education Controls should have an equal theoretical probability of being exposed as cases Controls have to have the ability to be cases General population set of controls used for prostate cancer case-control study?
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Issues with Different Types of Controls
General population controls May not be easy to get More likely representative of source population May not make for a valid comparison to cases (poorer recall of exposure) or not same possibility of being exposed Hospital controls Easier to get More similar to cases making valid comparison more likely Might not represent source population
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Measure of Association in Case-Control Study
(cases) D- (controls) E+ 6 (a) 3 (b) 9 E- 4 (c) 7(d) 11 10 20 a/c b/d Odds of exposure in cases OR The odds ratio is odd …so just keep at it. Odds of exposure in controls a *d b * c 6 *7 4 * 3 OR= = 3.5
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Advantages of Case-Control
Relatively easy to conduct The best design for rare diseases An important foundational step to evaluate association to motivate cohort study
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Disadvantages of Case-Control
Usually can’t estimate even basic population measures of disease or exposure frequency usually no prevalence or incidence data Typically, can’t separate forward causation from reverse causation Increased breastfeeding associated with growth decline in toddlers (actually the toddlers that were sick with diarrheal diseases breastfeed more)
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The Rare Disease Assumption
Odds ratio (OR) approximates risk ratio(RR) when disease is rare because a / (a+b) ~ a / b (e.g. 5/(5+1000) ~ 5/1000) c / (c+d) ~ c / d Analogously, prevalence odds ratio approximates the prevalence ratio when the disease is rare
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Cross-sectional and Ecological Study Design
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Cross Sectional Studies:
Simultaneously assess disease and exposure in an individual Occurs a single point of time (no follow-up) A study of prevalences and their interrelationship Measures of Association: Prevalence odds ratio Prevalence ratio
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Advantages of Cross Sectional Studies
Faster and less expensive than cohort Often done to get information to apply to the population at large (source population) Get good estimates of prevalence of many exposures and outcomes simultaneously
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Disadvantages of Cross Sectional Studies:
Temporality most often not known (but sometimes is known) Can’t capture the change in risk factors or disease over time Not good for rare diseases Not good for rare exposures
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Two Measures of Association Cross-Sectional Studies
Disease No disease Exposed a b Unexposed c d Two Measures of Association Cross-Sectional Studies a/(a+b) c/(c+d) 1. Prevalence Ratio Prevalence dx in exposed = Prevalence dx in unexposed ad bc 2. Odds ratio = No temporality (can refer to odds of disease in exposed or odds of exposure in diseased)
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Ecologic Study Uses group level or population level data to explore associations. Usually, measures of disease frequency (prevalence, incidence, case fatality, mortality) are plotted against exposure frequencies The measure of association is a correlation coefficient (r) or simple linear regression line (y = a + bx ).
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Prostate Cancer and Sugar Consumption
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Ecologic Fallacy Findings: Provinces with greater proportions of Protestants had higher suicide rates than Catholic provinces in France Concluded: Protestants more likely to commit suicide than Catholics May have actually been Catholics in predominantly Protestant provinces who were committing suicide Ecologic Fallacy: Making an inference about individual level suicide patterns based on proportion of suicides in provinces Schwartz S. The Fallacy of the Ecological Fallacy: The Potential Misuse of a Concept and the Consequences. American Journal of Public Health, May 1994, 84: and Durkheim E. Suicide. New York, NY: Free Press; 1951.
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A few questions to consider
Where can incidence be estimated? What designs are good for rare exposures? What designs are good for rare outcomes? Is randomization to ensure external validity or internal validity? What designs can you estimate RR? What designs do you need to use an OR? What is the difference between an exposure OR and a disease OR?
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Other Risk Estimates
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How do we estimate public health effect of an exposure?
Attributable Risk Estimates of Effect Attributable Risk (AR) Attributable Risk Percent (AR%) Population Attributable Risk (PAR) Population Attributable Risk Percent (PAR%) These statistics address the question: How much of the disease that occurs can be attributed to a certain exposure?
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AR and PAR tell us: how many cases of disease could be eliminated if we completely eliminate the exposure AR% and PAR% tell us: what percent of cases could be eliminated if we completely eliminate the exposure
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Measures of Attribution and Effect
• Attributable Risk (AR) is a Risk Difference (RD) It estimates the excess risk of disease in those exposed compared with those non-exposed. AR = Incidence Exposed – Incidence Not Exposed Group of Interest: Exposed Quantifies the risk of disease in the “exposed” group attributable to the exposure
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Calculating Attributable Risk
Subtract away the background risk Two measures of incidence: Incidence Rate (IR) or Cumulative Incidence (CI) For Incidence Rate: AR = IRExposed – IR Unexposed For Cumulative Incidence: AR = CIE – CIU
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Assumptions Interpretation of the AR is dependent on the assumption that a cause-effect relationship exists between exposure and disease. If no association between the exposure and disease, IE – IU= 0 and therefore AR = 0.
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How does AR compare to other measures of association?
The RR is a measure of the strength of the association and the possibility of a causal relationship. The AR indicates the potential for prevention, if the exposure could be eliminated.
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Example: Smoking and CHD
Exposure CHD yes CHD no Total Smokes 84 2,916 3,000 Doesn’t smoke 87 4,913 5,000 171 7,829 8,000 CIE = 84/3000 = 28.0 per 1000 CIU = 87/5000= 17.4 per 1000 AR = CIE-CIU = = 10.6 per 1000 Interpretation: The excess occurrence of CHD among smokers attributable to their smoking is 10.6 per 1,000 in Michigan in
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Attributable Risk Percent (AR%)
What proportion of cases in exposed persons is due to the exposure? AR% = ( IE – IU )/ (IE) Can be interpreted as the proportion of the disease in the exposed that could be prevented by eliminating the exposure
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How to Calculate AR%? AR% = (IRE – IRU)/ IRE or AR% = (CIE – CIU)/CIE
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Recall Smoking and CHD AR = CIE-CIU = 28.0 - 17.4= 10.6 per 1000
AR% = (CIE – CIU)/CIE = ( )/28.0 = 10.6/28.0 = 37.9% Interpretation: If smoking does cause CHD, 37.9% of CHD among smokers can be attributed to their smoking in Michigan OR If we eliminated smoking in this group of smokers, 37.9% of the CHD morbidity could have been prevented in Michigan in
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Population Attributable Risk (PAR)
The PAR estimates the excess rate of disease in the “total study population” of exposed and nonexposed that is attributable to the exposure.
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How to Calculate? PAR = IT – IU PAR = IRT – IRU Or PAR = CIT – CIU
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PAR alternative calculation
Alternatively, the PAR can be calculated as PAR = (AR)*Pe Where AR is the attributable risk and Pe is the proportion of exposed people in the population.
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How do we calculate PAR%?
PAR% = (IT – IU)/ IT or PAR% = (CIT – CIU)/CIT Note: In a case-control study, when the disease is rare, the OR may be substituted for the RR.
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Summary of AR calculations
In Exposed Group In Total Population Incidence attributable to exposure (AR or PAR) IE – IU IT – IU Proportion of incidence attributable to exposure (AR% or PAR%) (IE – IU)/Ie (IT – IU)/IT
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A few AR – PAR questions Can you use the odds ratio from a case-control study in an AR calculation? Is the PAR larger than the AR? Why? If Michigan and Ohio have the same cumulative incidence of disease in exposed and unexposed, will they have the same AR?
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Begin by randomly assigning “healthy” people to exposure or none
RCT Cohort Case-control Cross-sectional Design Begin by randomly assigning “healthy” people to exposure or none Begin with “healthy” exposed and unexposed Begin with sample of cases and controls Begin with population sample Follow-up for newly developed outcome Obtain information on exposure Cross-classify by exposure and outcome Randomization of exposure Yes No
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Incidence (cumulative incidence or incidence rate)
RCT Cohort Case-control Cross-sectional Measure of Disease Frequency Incidence (cumulative incidence or incidence rate) Odds of exposure Prevalence Groups being compared Exposed and unexposed Cases and controls Measure of Association Risk or rate ratio (relative risk) Odds ratio Prevalence ratio
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