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Chapter 2: Role of Epidemiology and Statistics in Advanced Nursing Practice Key Ideas, Definitions, and Preliminaries (1 of 3) • Epidemiology intersects with many disciplines. – Statistics is one such discipline. • Key idea of statistics is variability. • Data can be thought of as facts. • Data sets contain one or more variables. – Example: • Cases (rows in a spreadsheet) • Facts about each patient (columns in a spreadsheet) Key Ideas, Definitions, and Preliminaries (2 of 3) • Nominal data merely names. – Example: the variable gender • Ordinal data can be ranked. – Example: severity of bedsores • Interval data have property that differences between values have clear interpretation. – Example: age in years Key Ideas, Definitions, and Preliminaries (3 of 3) • Ratio data have property that ratios of values have clear interpretation. – Example: patient with four bedsores has twice as many as patient with two bedsores. • All of these types of variables may occur in epidemiological studies. • Statistical data analysis involves determining and describing the story a data set has to tell. Role of Probability in Epidemiology • Probability is study of laws of chance. • In epidemiology: – Probability is typically described as risk. – Assignment of probability Is generally arrived at empirically—through observation. Statistical Inference and the Language of Statistics (1 of 3) • Statistical inference = drawing conclusions from samples using statistical theory (methods). • Summary measures and graphical tools – Mean, median, standard deviation (SD) – Correlation coefficient – Graphical tools include side-by-side box plots (“box and whisker plots”) and scatter plots. Statistical Inference and the Language of Statistics (2 of 3) • Inference – Uses samples and statistical theory to draw conclusions. – Divided into three (overlapping) activities: 1. Estimation 2. Hypothesis testing 3. Model fitting (building) – May involve confidence interval (CI) estimates. Statistical Inference and the Language of Statistics (3 of 3) • Power – Power of a test is measure of likelihood of rejecting false hypotheses. – A function of sample size. – An effect size may be reported as well as a p value. – Statistical significance and clinical significance differ. Measures of Disease Occurrence and Risk (1 of 6) • Incidence and prevalence – Incidence proportion is pure number (unitless) that might be thought of as a probability. – Incidence rate takes into account the total exposure of subjects during study period. – Prevalence measures attempt to describe a situation (phenomenon) at an instant in time. Measures of Disease Occurrence and Risk (2 of 6) • Incidence and prevalence (cont’d) – Inferences for incidence and prevalence • Inference is process that uses data and statistical theory to draw conclusions about populations based on samples. • Confidence interval (CI) estimates are used. • Inferences about incidence rates are usually made using the Poisson model. – Stratification of epidemiological data is often useful. Measures of Disease Occurrence and Risk (3 of 6) • Survival analysis – Originated in mortality studies. • But time to any well-defined event can be studied. – Kaplan-Meier estimation of survival function is most commonly used nonparametric estimate of survival function. – Useful in comparing survival functions. – Log-rank test can be used to test homogeneity of survival curves. Measures of Disease Occurrence and Risk (4 of 6) • Analysis of 2 × 2 tables – Measures for comparing risks • Relative risk (RR) • Odds ratio (OR) – Effect measures • Attributable risk (AR) • Etiological fraction (EF) Measures of Disease Occurrence and Risk (5 of 6) • Regression modeling – Building models to describe a phenomenon. – These include linear models and logistic regression. – Linear models • Most commonly used. • Allow for various transformations of the explanatory variables (such as quadratics or square roots). Measures of Disease Occurrence and Risk (6 of 6) • Regression modeling (cont’d) – Logistic regression • Dichotomous logistic regression models the log odds of the event of interest. • One can use any mixture of interval and categorical predictors. • There are problems associated with the use of logistic regression. Summary of Epidemiological Measures of Disease Risk • See Tables 2-19 and 2-20. • Vital statistics calculations are given in the chapter. • Data can be organized in two-dimensional graphs created by statistical packages such as: – Microsoft Excel – PASW (SPS) – SAS