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Incidence Risk - comparing two groups
risk ratio = group A’s risk/group B’s risk
risk difference = groups A’s risk - Groups B’s risk
group B is the reference (comparison) group
Incidence Rate - comparing two groups
Rate ratio = group A’s rate/group B’s rate
Rate difference = group A’s rate - Groups B’s rate
Group B is the reference (comparison) group
Prevalence - comparing two groups
prevalence ratio = group A’s prevalence/group B’s prevalence
prevalence difference = group A’s prevalence - group B’s prevalence
group B is the reference (comparison) group
Odds - comparing two groups
odds ratio = group A’s odds/group B’s odds
group B is the reference (comparison) group
Study Design
plan for selecting participants and deciding how and when to collect information to answer a research question
exposure: the factor being studied, including the treatment or intervention
outcome: the health event or condition being measured
ex) the exposure is broad spectrum antibiotics, the outcome is C. diff; the exposure is influenza vaccination, the outcome is influenza infection; the exposure is injection drug use, the outcome is Hepatitis C infection
Experimental Study
has an intervention and can be random or non-random
random is a randomized controlled trial
non-random is a nonrandomized controlled trial
ex) researchers randomly assigns antibiotic A or B and compare recovery between groups
Observational Study
no intervention; the groups can be compared or not compared
study that is used compared to examine a exposure-outcome association is called an analytic observational study
study that is not used to compare is called a descriptive observational study
ex) clinicians choose antibiotic A or B during routine care; researches compare recovery between groups
descriptive observational study
describes frequency or patterns
ex) case report or case series; descriptive cross-sectional study
Analytic Observational Study
depends on how the participants are selected and assessed; 3 types:
Cross-sectional study → exposure and outcome at one assessment time between two groups of different age (ex - young and old)'
can be a past snapshot (exposure + outcome) or current snapshot (exposure + outcome); looks to see if the prevalence differ between exposure groups
Cohort Study → looks at exposure to outcome, group by exposure and assess later outcomes of two or more groups
Case-control study → outcome to exposure, groups selected by outcome, assess prior exposure
compares past exposure by selecting cases and controls then looks at prior exposure'; looks to see if prior exposure differs between cases and controls
Descriptive Studies
main question → how common is the condition? who is affected, where, and when
purpose → describe disease patterns by person, place, and time
example → # of flu cases by age group
Analytic Studies
main question → is an exposure associated with an outcome?
purpose → examine associations
example → compare flu occurrence in vaccinated and unvaccinated groups
Prospective cohort
groups defined by exposure
looks at exposure groups then follows forward and looks at new outcomes
asks if incidence differs between exposure groups
Retrospective Cohort
groups defined by exposure
looks at past records looking at exposure groups and later outcomes
looks to see if incidence differs between exposure groups
Randomized controlled trial
intervention randomly assigned
randomly assigns and intervention and follows forward to see the outcomes
asks if outcomes differ between randomly assigned groups
Cross-Sectional Study
researches sample people from a defined population and assess exposure and current outcome during the same assessment period
key limitation: researches usually cannot determine which came first: the exposure or the outcome
exposure and current outcomes are assessed during ONE VISIT
participants are NOT selected by exposure or outcome
researches DO NOT FOLLOW participants for exposure or outcome
key takeaway: cross-sectional studies are a snapshot of exposure and current outcome
ex)
select a sample
assess at one point in time (ex. October 16, 2020); look at exposure (ex - indwelling urinary catheter present; yes or no) and look at outcome (ex - current UTI? - yes or no)
Describe or compare (point prevalence - proportion of patients with a current UTI) (UTI Prevalence - catheter present vs absent)
Point prevalence
the proportion with the outcome at a specific point in time
common measure in cross-sectional studies
ex) the percentage of surveyed U-M nursing students who have respiratory symptoms on survey day
Prevalence ratio and prevalence difference
compare prevalence between exposure groups
ex) compare respiratory symptom prevalence between students reporting less frequent and more frequent hand hygiene
common measure in cross-sectional studies
Cohort Study
researchers select and group participants by exposure without assigning the exposure; OBSERVATIONAL
researchers compare risk or rate of developing outcomes over a defined period (can also be known as a longitudinal study); assesses whether exposed and unexposed participants develop the outcome
key limitation: groups may differ in, underlying conditions, or other factors that may affect the results
groups are defined by exposure
participants are then followed to determine who develops the outcome
the researcher foes not assign the exposure
key takeaway: cohort studies compare subsequent outcomes between exposure groups
useful for measuring incidence; studying rare exposures or multiple outcomes
prospective → occur after the study begins
retrospective → already occurred before the study begins
both examine outcomes after exposure
Common measures used during a cohort study
incidence risk →
denominator: people initially at risk
comparison measure: risk ratio and risk difference
incidence rate →
denominator: total person-time at risk
comparison measure: rate ratio and rate difference
calculate each measure within each vaccination group, then compare the groups using a ratio or difference
Case-Control Study
researchers select the participants by outcome - cases have the outcome and controls do not when selected
the controls come from the same population as cases
researchers compare prior exposure between cases and controls; assesses to see whether cases and controls had the exposure before the outcome
key limitation: poor control selection or inaccurate exposure information can distort the results
key takeaway: select participants by outcome, then compare prior exposure
useful for studying rare outcomes or several possible prior exposures
Exposure odds
number of previously exposed/number of unexposed
calculated separately for cases and controls
common measure for case-control studies
Odds ratio (OR)
exposure odds among cases/exposure odds among controls
common measure of case-control studies
Why do we not use risk or rate for case-control studies?
because researchers select the participants by outcomes
case-control samples do not directly provide population risk, incidence rate, or prevalence
Randomized Controlled Trait (RCT)
researchers randomly assign participants by chance (randomization) to an intervention group or a comparison group; EXPERIMENTAL
researches follow both the groups and compare the outcomes over a defined period
randomization helps balance out confounding factors
key limitation: missing outcome data (e.g., loss to follow-up) can bias results
has random assignment, comparison group, and outcomes assessed after intervention
common measures: incidence risk and incidence rate
compare these two within each assigned group and then compare the groups using a ratio or difference
Two ways to compare groups (ratio and difference)
question
ratio → how many times as high?
difference → how much higher or lower?
comparison
ratio → relative: divide the measures
difference → absolute: subtract the measures
value when groups are equal
ratio → 1
difference → 0
example
ratio → 2.0: twice as high; 0.5 - half as high
difference → risk or prevalence of .1: 10 percentage points higher
units
ratio → no units
difference → % points when using percentages; cases per person-time for incidence rates
Calculating Prevalence
to get exposed groups ratio, you multiply the outcome times total (ex - 10×100 = .1); do the same with unexposed
prevalence ratio = exposed/unexposed
when equal, value will be 1
no units
prevalence difference = exposed - unexposed
when equal, value will be 0
percentage points
Calculating Incidence Risk
to get risk of exposed groups ratio, you multiply the outcome times total (ex - 10×100 = .1); do the same with risk of unexposed
risk ratio = risk in exposed/risk in unexposed
when equal, value will be 1
no units
risk difference = risk in exposed - risk in unexposed
when equal, the value will be 0
percentage points is the unit
Calculating Incidence Rates
to get risk of exposed incidence ratio, you multiply the outcome times total; do the same with risk of unexposed to get incidence ratio
ex) 30 ppl exposed in 2,000 patient days = (30/2000) x 1,000 = 15 infections per 1,000 patient days
rate ratio → rate in exposed/rate in unexposed
value when equal is 1
no units
rate difference → exposed - unexposed
value when equal is 0
infections per unit of person-time
Odds Ratio
odds ratio = (exposure odds among cases)/(exposure odds among controls) = (a/b)/(c/d) = (axd)/(bxc)
interpretation
OR > 1: odds of exposure are higher among cases than controls
OR = 1: odds of exposure are equal among cases and controls
OR < 1: odds of exposure are lower among cases than controls
interpret the results:
the odds of ___ use before admission were __ times as high among patient who developed __ infection as among patient who did not
What does a clear interpretation identify
measure of association: risk, rate, prevalence, or odds
exposure (infection/treatment/intervention)
groups: who is being compared (unexposed/control)
outcome: what condition was measured
time: when or over what period
association
an observed statistical relationship between variables
correlation
type of association describing how two numerical variables vary together
causation
changing an exposure changes the likelihood of an outcome
association and correlation
they describe relationships but do not establish causation
confounding
another factor related to both exposure and outcome distorts their association
bias
systemic error in participating selection or measurement
chance
random variation in the findings
Research ethics
ethical review: need institutional review board (IRB) review before conducting experiments
informed choice: explain the study’s purpose, procedures, risks, and potential benefits. obtain informed consent when required; for minors, obtain parental/guardian and child assent as required
voluntary participation: respect he right to decline or withdrawal without penalty
privacy and confidentiality: protect participants and their personal information
safety: minimize risks, monitory safety as appropriate, and use ethically appropriate comparison group
fair selection: select participants fairly and provide additional protections when needed