Epi/Biostats Flashcards
Beta
Regression Coefficient, expected (average) change in Y when X (explanatory variable) changes by one unit and the other explanatory variables stay the same
Wald Statistic
Test whether regression coefficient of a variable is zero
Beta squared over var(B)
p-value = P(chi-squared > Wald statistic)
If p is small, the variable associated with the regression coefficient is important (statistically significant)
Likelihood Ratio Test
Test to compare two models: one with q (“null”), the other with p variables with p>q (nested models)
If p < 0.05, the group of p-q variables in the extended model is important (statistically significant)
Type I error
Probability of receiving a significance result (rejecting the null) when it is not true - False positive
Type II error
Probability of failing to reject the null when it should be rejected - false negative
Sensitivity
Probability of positive test given case (A / A+C)
Specificity
Probability of a negative test given a non-case (B/B+D)
PPV
Probability that the case is actually a case given that it tested positive (A/A + B)
NPV
Negative Predictive Value probability that a non-case is true given a negative test result (D/C+D)
Residual variance in regression equation
Error term
Types of bias
- Confounding
- Selection Bias
- Information Bias
Propensity Score
Probability of a unit being assigned to a particular treatment or exposure given an observed set of covariates.
Used to reduce selection bias by equating groups on these covariates
When to use log-binomial
When risk or prevalence is >10% risk odds ratio and prevalence odds ratio will overestimate the prevalence ratio so need to use log-binomial to directly estimate the prevalence ratio or risk ratio
Risk vs odds
Risk = probability of occurrence of an event or outcome
Odds = probability of occurrence of an event or outcome / probability non-occurrence of the event or out come
P-value
Probability of obtaining results as extreme as those observed under the null hypothesis. Protects from type I error or false positives, which lead us to conclude there is an association that isn’t really there.
ICC
Intraclass correlation coefficient- the degree to which the variance of the cluster explains the variance of the whole. The between individual variance / the total variance
Vaccine effectiveness formula
(1 - adjusted OR) x 100%
Risk ratio formula
(a / (a+b)) / (c / (c+d))