Pre-midterm Flashcards
What distinguishes a ratio?
- A/B
- Dimensionless or dimensions
What distinguishes a proportion?
- A/(A+B)
- 0, 1
- Dimensionless
What distinguishes a rate?
- N/T (instantaneous change over time)
- Has dimensions
- E.g., speed
Two categories of incidence measures?
- Cumulative incidence/risk/incidence proportion/attack rate
- Incidence density/incidence rate
Synonyms of incidence proportion
- Cumulative incidence
- Risk
- Attack rate
Formula of incidence proportion
new cases during followup/#people followed-up
What are the assumptions of incidence proportion?
- Conditional on no competing risks
- Timing is everything for the interpretation (over a year? 2 years?)
- Fixed cohort with no exits
Interpretation of incidence proportion?
Risk/probability of developing a disease
Formula of incidence density
new cases during follow-up/total person-time at risk during follow-up
Unit of incidence density
Time^(-1)
Incidence density is a…
Rate (like speed)
What is incidence density useful for?
- Dynamic cohorts
- Dealing with competing risks
Problem with incidence density?
Person-years are considered equivalent, but they are not, making it hard to compare studies
Interpretation of incidence density?
If in a steady population:
- Put over 1 year
- Take reciprocal (1/xx)
- Interpret as average time until event occurs
Risk Incidence rate?
Risk = (Incidence Rate)*Time
- Good if risk is < 20%
- Becomes less good as we go through years, it becomes an overestimate
When are survival analyses good?
- Dynamic cohort
- Changing incidence rates
Assumptions of survival analyses?
- No changes in survivorship over calendar time
- Uniform withdrawal/events over interval
Formula for prevalence proportion?
existing cases/#total population
Incidence Prevalence
If steady state:
- P/(1-P) = (Incidence rate)Duration of disease
If rare disease (P < 0.10)
- P = (Incidence rate)Duration of disease
Direct standardization
Apply rates from population of interest to the standard population
Standardized mortality ratio formula
= observed events/expected events x 100
7 steps of natural history of disease?
- Biological onset
- Pathological evidence
- Symptoms
- Medical care sought
- Diagnostic
- Treatment
- Outcome (cure, control, disability, death)
According to the natural history of disease, what is the preclinical phase? and the clinical phase?
Preclinical: from biological onset to symptoms
Clinical: from symptoms to outcome
According to the natural history of disease, when does primary prevention takes place and what is it?
- Before biological onset
- Attempt to prevent development (e.g., vaccination)
According to the natural history of disease, when does secondary prevention takes place and what is it?
- Between biological onset and symptoms appearance
- Screen to improve prognosis
According to the natural history of disease, when does tertiary prevention takes place and what is it?
- Between appearance of symptoms and outcome
- Management to diminish impact of disease
What is sensitivity and what does it result in?
- P(T+ | D+)
- Higher sensitivity means fewer false negatives
Formula for sensitivity?
= True positives / all D+
What is specificity and what does it result in?
- P(T- | D-)
- Higher specificity means fewer false positives
Formula for specificity?
= True negatives / all D-
What happens when you require T+ on two tests to be considered D+, such as in sequential testing?
Less Sensitivity = Sensitivity1 x Sensitivity2 (you end up with more false negatives)
More specificity = Specificity1 + Specificity2 - (Spec1 x Spec2) (you end up with less false positives)
What happens when you require T+ on one of two tests to be considered D+, such as in simultaneous testing?
More sensitivity = Sensitivity1 + Sensitivity2 - (Sens1 x Sens2) (you end up with less false negatives)
Less specificity = Specificity1 x Specificity2 (you end up with more false positives)
Positive predictive value formula
P (D+ | T+) = True positives/all T+
Negative predictive value formula
P (D- | T-) = True negatives/all T-
Relation between predictive value and prevalence?
Increased prevalence leads to increased PPV
Relation between Sensitivity/specificity and predictive value?
Specificity impacts PPV
Sensitivity impacts NPV
Formula for PPV with sensitivity and specificity?
PPV = (sens x prev)/[(sens x prev) + (1-spec)*(1-prev)]
Formula for NPV with sensitivity and specificity?
NPV = (spec x 1-prev)/[(spec1-prev)+(1-sens)prev)]
What is a likelihood ratio?
Likelihood that a test result would be expected in a person D+
Compared to
The likelihood that the same result would be expected in a person D-
How is LR+ calculated?
P(true positives)/P(false positives) = sens/(1-spec)
How is LR+ interpreted?
The higher the LR+, the more likely the test is positive in D+ person compared to D- person (rules in the disease)
How is LR- calculated?
P(false negatives)/P(true negatives) = (1-sens)/spec
How is LR- interpreted?
The lower the LR-, the less likely the test is negative in a D+ person compared to a D- person (rules out the disease)
What are significant numbers for LR?
LR = 1, NS
LR+ > 1 –> associated with disease (good from > 10)
LR- < 1 –> associated with no disease (good from < 0.1)
Overall percent agreement formula?
agreed/#total ratings
Corrected percent agreement formula?
yes-yes/(#total ratings - #no-no)
Kappa statistics formula?
(% agreement observed - % agreement expected)/(100 - % agreement expected)
Prognosis is susceptible to which bias?
Lead time bias
- Prognosis usually from diagnosis, ideally from onset, but better screening may inflate survival
What is a causal mechanism?
Joint action of multiple component cause
- Causal pie
- Is a sufficient cause
What is a sufficient cause?
The smallest set of conditions and events that inevitably produces the disease (a complete pie)
What is a component cause?
A piece of the pie
When are component cause necessary?
When they appear in all causal pies
What do we need to know about the strength of a component cause?
- Cannot be determined for individual cases - they were all equal
- At the population level, a component cause is stronger when it takes par in a larger proportion of disease cases (e.g., smoking) - depends on the prevalence
What is the sum of all component causes?
Infinite, due to interactions
What is induction time?
The time between the action of a component cause and the completion of a sufficient cause (pie).
- For the last component cause, induction time is always 0.
What is the latent period?
Period between the action of the last component cause/disease initiation and the clinical manifestation
- The latent period is reduced with screening
What is the empirical induction period?
It is used when the specific causal mechanisms are unknown and that the induction and latent period may not be distinguished
- Latent + induction = empirical induction period
What are 4 of Hill’s causal guidelines, and which one is necessary(*)?
*Temporality
Strength of association (strong associations are less likely to be confounded, but sometimes causal is weak)
Specificity (rare and unnecessary)
Biological gradient (dose response relation, linear or not)
What is the counterfactual when talking about causality?
Causality can be established when the outcome on the same person, treated and untreated, is different. But only one of these events may be observed. The other is counterfactual.
- Counterfactual refers to treatment/no treatment simultaneously, and in the same population
What is the principle of exchangeability?
- When the risk outcome for tx group is equal to the risk of the outcome in the control group had they been treated
What is the goal of a RCT?
Simulate the counterfactual comparison by having exchangeable groups thanks to randomization. Protects against the confounding, even if not measured or unknown, without having to collect tons of info.
3 prerequisites for RCT?
- Clinical equipoise ($/ethics)
- Modifiable exposure, and modifiable by the investigator
- Common and early outcomes ($)
What is efficacy and effectiveness?
Efficacy: how well an intervention works under ideal conditions
Effectiveness: how well an intervention works in field conditions
What is the Hawthorne effect?
When watched people change their behaviour
What is the goal of the control group?
- Control for Hawthorne effect
- Control for Secular trends
4 types of control?
- Nothing
- Placebo
- Active Alternative
- TAU
When do you use nothing as a control, and what problems does it cause?
- When you have no accepted competitor to the treatment
- Participants are not blind, and no causal inference is possible
What is a placebo, and how useful is it for control groups?
- Sensorily similar to experimental intervention, without the active ingredients
- Good for blinding, allows straightforward conclusions
- Good to assess side effects of tx
What is an active alternative, and how useful is it for control groups?
- Another treatment (good for ethics and relevance)
- Often used for equivalence or noninferiority RCT, but conclusions drawn may be ambiguous
What is TAU, and why is it used, what are the problems?
- Treatment as usual
- For when the current practice varies and is hard to standardize
- You get little control over what happens in this group
How can you protect internal validity? At what cost?
With tighter exclusion criteria - it decreases generalizability
You’ll need a bigger sample size if you want…(4 items)
- smaller a (more certainty)
- bigger 1-B (more power)
- be able to detect a smaller difference
- you have more variation in your sample