Critical numbers Flashcards
What is the difference between an experimental and observational study?
Experimental: researchers have intervened in some way
Observational: researchers haven’t intervened, just observed
What are 3 types of observational study?
Retrospective
Cross-sectional
Prospective
How do randomised controlled trials work?
Randomly allocate ptps to different interventions and follow up
Experimental
Prospective
What are some variations of RCT?
Cluster: ptps randomised in groups, not individually (e.g. a whole gp centre)
Crossover: ptps receive both interventions in a random order
Multi-arm: 2+ interventions evaluated in single study
Adaptive design trials: accruing info is used to inform planned design adaptations
Pros of RCTs
Gold standard
Reduced confounding potential
Reduce bias
Determine causal effects
Cons of RCT
Randomisations can be unfeasible or unethical
Require expert management and oversight
Expensive
How do cohort studies work?
Non-randomised
Observational
Typically prospective
Sample split into exposed/unexposed
Pros of cohort studies
Useful when random allocations not possible
Can work for rare exposures (select ptps exposed)
Can examine multiple outcomes
Cons of cohort studies
May require long follow up
Can be expensive
Not ideal for rare outcomes
How do case-control studies work?
Non-randomised
Observational
Retrospective
One group have condition already, other group don’t
Pros of case-control
Faster as use past data
Useful for rare outcomes- select ptps on basis of outcome
Cheaper
Cons of case-control
More prone to bias or poor quality data
Harder to show causal relationship
Not ideal for rare exposures
Features of cross-sectional studies?
Non-randomised
Observational
Single time point
Pros of cross-sectional studies
Relatively quick
Cheap
Can assess multiple exposures/outcomes
Cons of cross-sectional studies
Susceptible to bias
Cannot prove causality
Not ideal for rare exposures/outcomes
What are ecological studies, +pros and cons
Observational study of a group
Pros: large scale, can quantify geographical or temporal trends
Cons: ecological fallacy, can’t make inference at individual level
Types of categorical variables
Binary- 2 categories e.g. + or -
Ordinal- categories with natural order
Nominal- categories without order, e.g. blood group
Types of numeric variables
Discrete- only certain numerical values,e.g. number of children
Continuous- any value within a range, e.g. height
Define proportion
Number with a characteristic or outcome divided by total number
scale 0-1
Define odds
Number with an exposure or outcome divided by number without
Ratio of probability of event occurring vs not
probability divided by 1-probability
What is a rate?
Frequency per another unit of measurement, e.g. events per 100 people per year
Example of risk difference and risk ratio
risk of hypertension in aspirin group = 0.12
risk of hypertension in placebo group = 0.35
risk difference = 0.12 - 0.35 = 0.23, risk reduction 23%
risk ratio = 0.12/0.35 = 0.34, lower risk as less than 1
Example of odds ratio
odds of hypertension on aspirin = 0.13
odds of hypertension in placebo = 0.55
odds ratio = 0.13/0.55= 0.24
How to work out mean, median and mode
mean - sum the values divide by count, typically reported with st dev
median- order values then take midpoint, typically reported with range
mode- most common value, not used very often practically
if normal distribution, mean and median will be same
What is standard deviation?
Describes dispersion of values around the mean
x̄ = mean and sd = s when describing a sample
μ = mean and sd = σ when describing a population
What are range and interquartile range?
Range = lowest value and highest value
IQR = 25th-75th centile, central 50% range
What is right skewed distribution?
Positive
Median is less than mean
Tail on right hand side
What is left skewed distribution?
Negative
Mean less than median
Tail on left side
What % lie with 1sd, 2sd and 3sd of the mean (when symmetric)?
1sd = 68% of values
2sd = 95% of values
3sd= 99.7% of values
What is correlation?
A measure of linear relationships between variables
Quantified by correlation coefficient r
r between -1 and 1
What is statistical inference?
Use information from a sample to make inference about a population
Need to account for uncertainty
Derive estimates of population parameters and test hypotheses
What is central limit theorem?
the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population’s distribution
What is standard error?
Indicates how different a sample mean is likely to be from the population mean
Used for estimating
Tells us precision of estimation
Smaller standard error = more precise
Equation for standard error of the mean
SD divided by √n
bigger sd, bigger standard error
bigger the sample size, smaller standard error
What is a confidence interval?
a range around a measurement that conveys how precise the measurement is
gives plausible range