Interpreting Data Regarding Correlations, Risk Factors, Prevention, and Therapy Flashcards
what is the correlation coefficient (r)
mathematical expression of strength and direction of correlation between variables
- range from -1 to +1
- +/-0.5 indicates a weak correlation
interpret:
a study of the amount of smoking and the incidence of lung cancer generates a correlation coefficient of r=+0.7
indicates a strong positive correlation
ie: increased amounts of smoking are strongly associated with an increased incidence of lung cancer
pearson product-moment correlation (r) is used for:
spearman rank-order correlation (rho) is used for:
continuous data
ordinal scale data
how is correlation represented
scattergrams
what is the correlation of determination
expresses the proportion of variance in a variable explained by another variable
r^2, expressed as a percentage
interpret:
correlating exercise levels with serum glucose levels generates r=-0.4, squaring this value results in a coefficient of determination of 0.16 (16%)
- indicates that 16% of the variance in serum glucose levels can be accounted for by the exercise level
- this correlation is weak and doesnt necessarily mean that increased exercise causes a decrease in serum glucose
what is regression analysis
linear regression
multiple regression
a mathematical technique used to predict the value of one variable based on another
–> only useful in highly correlated variables
linear: predicts one variable based on another
Multiple: predicts the value of a variable based on multiple covariates (ex rate of heart attack based on cholesterol, bp, weight, age) & adjusts data to eliminate effects of confounding vars
what are the ways to measure effects of risk factors?
odds ratio (OR) absolute risk (AR) attributable risk relative risk (RR)
what is the odds ratio
measures the degree of association of a risk factor with a disease or outcome
- ratio of the odds that a case was exposed to the odds that a control was exposed
- used when actual incidence of a disease is not measured, such as case-control
=odds that a case was exposed to risk factor/odds that control was exposed to risk factor
= (#obese diabetic/#nonobese diabetic)/(#non-diabetic obese/# non-diabetic non-obese)
=odds that a case was exposed to risk factor/odds that control was exposed to risk factor
odds ratio (OR)
what does odds ratio show
shows an association between risk factors and condition, but is a relatively weak indicator of causality
what is the absolute risk (AR)?
the risk over a given time period of contracting a disease
- synonymous with incidence
- done for control group and for experimental group
=number developing disease/total number
=number developing disease/total number
absolute risk (AR)
what is attributable risk?
the difference in risk between exposed and unexposed groups
-the amount of disease ocurrances that are attributable to the exposure
=AR (exposed) - AR (unexposed)
=AR (exposed) - AR (unexposed)
attributable risk
what is relative risk?
measures how many times exposure to a risk factor increases the risk of contracting a disease
-ratio of the absolute risk of disease among those exposed to absolute risk among those not exposed to the risk factor
- can only be calculated when incidence is measured (such as cohort study)
- -> shows not only association but is a more powerful indicator of causality
=AR of disease among exposed/AR of disease among non-exposed