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Incidence vs. prevalence
Incidence refers to new health outcomes (requires some degree of follow up)
Prevalence refers to preexisting health outcomes (mostly cross-sectional design)
Measures of association
Measures of association: quantitative comparisons of measures of frequency (from descriptive EPI) across 2 or more groups
Exposures
May be any factor potentially associated with an outcome, generally be categorized as person, place, or time characteristics
3 examples of exposures
Smoking (in relation to lung cancer)
Low birth weight (in relation to adulthood diabetes)
COVID infection (in relation to brain fog)
Study hypothesis
statement that posits how an exposure is associated with an outcome
Importance of study hypothesis
Foundational to conducting an analytic epidemiological study
General structure for a study hypothesis
In a [population], those who are [exposed] have a <higher/lower/same/different> frequency of an outcome compared to those who are unexposed
Population of interest (in the context of a study hypothesis)
must consider the population that you hope to apply your study results to (i.e. make inference about) and select study participants from this group
Health outcome (in the context of a study hypothesis)
clearly defines how those with and without the outcome will be classified
Exposure of interest (in the context of a study hypothesis)
clearly defined those with and without the exposure will be classified - may need to account for the dose and duration
What is the unexposed group called in public health studies?
Referent/reference/comparison group
2 ways of comparing measures of frequency
Relative/ratio: compared by division
Absolute: comparison by subtracting
What determines what type of comparison between measures of frequency can be used?
Study design
What question should be asked in relation to the direction of a hypothesized association? Then, what should the next step be?
Is the frequency of the outcome different or not different across exposure groups?
If different, can decide if you wish to specify the direction or frequency of the outcome
Exploratory analytic epidemiological studies
may be used to evaluate association between several different exposures and outcomes
2 uses of exploratory analytic epidemiological studies
Useful if little is known about the etiology of an outcome
May be used to generate hypotheses for future studies
What caution must be taken with exploratory analytic epidemiology studies?
it is important to carefully select exposures and outcomes that could plausibly be related
Structure of exploratory analytic epidemiology study question
In a [population], do those who are [exposed] have a different frequency of an outcome compared to those who are [not exposed]?
2 classifications of analytic epidemiology studies
Experimental
Observational
Experimental study
A study in which the investigator aligns the exposure
How are experimental studies often achieved?
Randomization (i.e. random assignment)
2 examples of exposures that cannot be assigned
Smoking
Neighborhood
Observational studies
Studies in which the investigator observes the exposure status that has already occurred or will occur anyway
Unit of analysis
the level at which study data are analyzed
2 divisions of unit of analysis
Individual
Group
Individual unit of analysis
investigators have information about the exposure and outcome status for each individual in the study
Group unit of analysis
investigators only have access to aggregate data, such as the average frequency of exposure and/or outcome across different groups
Function of group unit of analysis
May be useful to compare the effect of an exposure across defined groups (i.e. states or countries)
Main type of experimental design used in public health research
Controlled trials
4 types of observational designs
Cohort studies
Case control
Cross-sectional
Ecologic
Controlled trial
study sample is enrolled from a population that is at-risk of developing the outcome of interest
Steps of a controlled trial
Study participants are assigned to an exposure group by the study investigators, often via randomization
An intervention of interest may be compared to a placebo, which is an agent that appears identical to the intervention
Participants are followed for a specific time period to measure new (incident) cases of the outcome
How is the association between exposure and outcome quantified in a controlled trial?
Using risk-and rate-based measures of association
Cohort design
the study sample is enrolled from a population that is at-risk of developing the outcome of interest
Steps of a cohort design
Study participants are then classified by their exposure status, which is observed/recorded (not assigned) by the study investigators
Participants are followed for a specific time period to measure new (incident) cases of the outcome
How is the association between exposure quantified in a cohort design?
Using risk- and rate-based measures of association
Case control design
Investigators enroll a group of individuals with the outcome of interest (cases), along with a suitable comparison group that does not have the outcome (controls)
Steps of a case control design
Participants’ historical exposure status is ascertained using tools such as questionnaires or medical records
Investigators explore whether the cases were more (or less) likely to have certain exposures than the controls
How is the association between exposure quantified in a case control design?
Using the exposure odds ratio (EOR)
Cross-sectional design
investigators enroll a population of interest and measure their exposure and outcome statuses simultaneously
Does follow-up occur in cross sectional studies?
No
How is outcome frequency reported in cross-sectional studies?
Prevalence
How is the association between exposure quantified in a cross-sectional design?
Using prevalence-based measuers of association
Ecologic study design
exposure and outcome information are reported in aggregate (for distinct groups, not individuals)
Evaluation of exposures that can only be measured at the population (i.e. policy changes)
Benefit of ecologic study design
Exploration of existing aggregate data to generate findings more quickly and less expensively than individual-level and data collection
Ecologic fallacy
findings at the group level are presumed to apply to individuals
Traditional hierarchy of analytic epidemiology study designs (worst to best)
Ecologic
Cross-sectional
Case-control
Cohort
Randomized control trials
Modern way to think about which epidemiology study design is best
well-conducted study using the design that appropriately aligns with the hypothesis of interest, as well as ethical and practical considerations
How are dichotomous exposure and outcomes organized?
2×2 tables

Which measure(s) of association can be calculated from the following table?
Rate-based measures of association

Which measure(s) of association can be calculated from the following table?
Risk/prevalence-based measures of association

Label the following table
Outcome (O+)
No outcome (O-)
Total
Exposed (E+)
A
C
N1 (A+C)
Unexposed (E-)
B
D
N0 (B+D)
Total
M1 (A+B)
M0 (C+D)
N
5 marginal totals of the 2×2 table
N
N1
N0
M1
M0
N (2×2 table)
total number of individuals in the study population
N1 (2×2 table)
total number of individuals exposed
N0 (2×2 table)
tota number of individuals who are unexposed
M1 (2×2 table)
total number of individuals with the outcome
M0 (2×2 table)
Total number of individuals without the outcome
A (2×2 table)
individuals who are exposed and have the outcome
B (2×2 table)
individuals who are unexposed and have the outcome
C (2×2 table)
individuals who are exposed and do not have the outcome
D (2×2 table)
individuals who are unexposed and do not have the outcome
Measures of association
derived by comparing measures of frequency for two groups
2 ways that measures of association are typically calculated
Taking the ratio of two measures of frequency
Taking the difference of two measures of frequency
Null value
the value that a measure of association takes on when there is no association between the exposure and outcome
What will the frequency of the outcome in the exposed and unexposed groups if there is no association between an exposure and outcome
The frequency of the outcome in the exposed group = frequency of the outcome in the unexposed group
Null value for all ratio measures of association
1
Null value for all difference measures of association
The null value for all difference measures of association is zero
Goal of calculating measures of association
Ultimately we will calculate a measure of association using our study data, and our goal is to determine whether it is different from its null value
What can we determine if our measures of association is significantly different from our null value?
This suggests that there is an association between exposure and outcome
Direction of a measure of association meaning
Refers to where it lies relate to its null value
Measure of association falls below the null meaning
Negative association - exposure is associated with a decreased outcome frequency
Measure of association falls above the null meaning
Positive association - exposure is associated with an increased outcome frequency
Magnitude of a measure of association meaning
Refers to the strength of association
What is teh global cutoff for classifying the strength of association?
There is no global cutoff
Whether an association is considered strong depends on the ___________________
research question
Risk ratio
a measure of the strength of the relative risk of an outcome between an exposed and unexposed group during a specific follow-up period
Risk ratio calculation
Risk in the exposed/risk in the unexposed = (A/N1)/(B/N0)
Risk difference
a measure of the absolute difference in the risk of an outcome between an exposed and unexposed group during a specified follow-up period
Risk difference calculation
Risk difference = risk in the exposed - risk in the unexposed = A/N1 - B/N0
Risk-based measures of association are appropriate for what 2 applications?
Some controlled trials
Some cohort studies
When might it not be appropriate to calculate risk-based measures
If follow-up is not uniform for all study participants
Interpretations of risk-based measures of association must include what information?
Information about hte length of the follow-up period
Prevalence ratio
a measure of the strength of the relative prevalence of an outcome between an exposed and unexposed group
Prevalence ratio calculation
Prevalence ratio = prevalence in the exposed/prevalence in the unexposed = (A/N1)/(B/N0)
Prevalence difference
a measure of the absolute difference in the prevalence of an outcome between an exposed and unexposed group
Prevalence difference calculation
Prevalence difference = prevalence in the exposed - prevalence in the unexposed = A/N1 - B/N0
Prevalence-based measures of association are appropriate for what application? Why?
Appropriate for the cross-sectional design since the observed outcomes are existing, rather than the newly-occurring
Exposure odds ratio (EOR)
the only measure of association that is appropriate to calculate for case-control studies
What measure does the EOR use?
The odds
EOR calculation
odds of exposure among the cases/odds of exposure among the controls = (A/B)/(C/D) = (AxD)/(BxC)
What must a table used to organize data to allow for calculating rates and rate-based measures of association incorporate?
Person-time

Label the following table
Outcome (+)
Person-time
Exposed (E+)
A
PT1
Unexposed (E-)
B
PT0
Total
M1 (A+B)
PT (PT1 +PT0)
PT1 (table)
total person-time contributed by all participants who were exposed
PT0 (table)
total person-time contributed by all participants who were unexposed
PT (table)
person-time contributed by the entire study population
Rate ratio
a measure of the strength of the relative risk of an outcome between an exposed and unexposed group
Rate ratio calculation
Rate ratio = rate in the exposed/rate in the unexposed = (A/PT1)/(B/PT0)
Rate difference
a measure of the absolute difference in the rate of an outcome between an exposed and unexposed group
Rate difference calculation
Rate difference = rate in the exposed - rate in the unexposed = A/PT1 - B/PT0