9: Statistical Measures Flashcards
3 Effect Measures
- Attributable Fractions
- Risk and Rate Differences
- Risk and Rate Ratio
Attributable Fractions
Measure the fraction of cases due to a factor
Risk and Rate Differences
Measure the amount a factor adds to the risk or rate of a disease
Risk and Rate Ratio
Measure the amount by which a factor multiples the risk or rate of disease
Absolute Effects
Comparison of differences in measure of association or attributable risk. Rate Difference, Risk Difference, Population Risk Difference
Relative Effects
Compare an absolute effect to a baseline reading. Relative Risk, Risk Ratio, Etiologic Fraction, Population Etiologic Fraction
Risk Difference (Attributable Risk)
The difference between the incidence rate of disease in the exposed group (Ie) and the incidence rate of disease in the non-exposed group (Ine). A way to estimate the realistic potential impact of removing an exposure from the population. Risk Difference=Ie-Ine
Population Risk Difference
Measures the benefit to the population derived by modifying a risk factor. The difference between the rate (risk) of disease in the non-exposed segment of the population (Ine) and the overall rate (Ip). Population Risk Difference=Ip-Ine OR (Ie)(Pe)-(Ine)(Pne) where P is proportion of population exposed or not exposed
Etiologic Fraction (Attributable Proportion/Fraction)
Measures the proportion of disease in the exposed group that is due to the exposure. Etiologic Fraction=(Ie-Ine)/Ie=(RR-1)/RR
Population Etiologic Fraction (Attributable Fraction in the Population)
Indication of the effect of removing a particular exposure on the burden of disease in the population. Population Etiologic Fraction=(Ip-Ine)/Ip x 100=[Pe(RR-1)]/[Pe(RR-1)+1]
Rare exposure with high RR for disease can account for most cases but removal of exposure…
will have little impact on the overall incidence of disease
Impact of exposure on a population depends on:
- strength of the association between exposure and resulting disease
- Overall incidence rate of disease in the population
- Prevalence of the exposure in the population
What exposures have a major impact on public health?
ones of high prevalence and low RR
Null Hypothesis
states that there is no difference among the groups being compared (exposure has no effect on disease)
Significance Tests
Used to decide whether to reject or fail to reject a null hypothesis.
Significance Level
the chance of rejecting the null hypothesis when, in fact, it is true
P Value
Indicates the probability that the findings observed could have occurred by chance alone.
Possible meaning of nonsignificant differences:
a nonsignificant difference is not necessarily attributable to chance alone. For studies with a small sample size the sampling error may be large, which can lead to a nonsignificant test even if the observed difference is caused by a real effect. Can be corrected by increasing sample size.
Confidence Interval (CI)
A computed interval of values that, with a given probability, contains the true value of the population parameter. Influenced by variability of the data and sample size
Parameter Estimates for CI
a mean, OR, RR, or incidence rate
Clinical vs. Statistical Significance
While small differences in disease frequency or low magnitudes of relative risk (RR) may be significant, they may have no clinical significance. Conversely, with small sample sizes, large differences or measures of effect may be clinically important.
Statistical Power
The ability of a study to demonstrate an association if one exists.
Power of study is determined by:
- Frequency of the condition under study
- magnitude of the effect
- Study Design
- Sample Size
Evaluating Epidemiologic Associations with 5 questions
- Could the association have been observed by chance?
- Could the association be due to bias?
- Could other confounding variables have accounted for the observed relationship?
- To whom does this association apply?
- Does the association represent a cause-and-effect relationship?
Associations between Factors and Outcomes
- not statistically associated (independent)
- statistically associated
Statistically Associated Relationships
- non-causal
- causal (indirect vs. direct)
Multiple Causality
requirement that more than one factor be present for disease to develop