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A comprehensive overview of biostatistics examination practices, covering essential concepts, statistical tests, and their applications. It delves into descriptive statistics, including measures of central tendency and variability, and explores inferential statistics, focusing on population distributions, hypothesis testing, and confidence intervals. The document also outlines various parametric and nonparametric tests, including t-tests, anova, and chi-square tests, providing a valuable resource for students preparing for biostatistics exams.
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Two types of random variables - Correct answer discrete and continuous Discrete variables - Correct answer nominal, ordinal Nominal variable - Correct answer unordered manner, no relative severity (e.g. male or female sex, mortality, disease presence (y/n), race, marital status) Ordinal variable - Correct answer ranked in specific order, no consistent level of magnitude of difference between ranks (e.g. NYHA functional class) Discrete variables: Common error - Correct answer Measure of central tendency - means and SDs should not be reported with ordinal data Continuous variables - Correct answer Interval, ratio Interval variable - Correct answer data ranked in a specific order with a consistent change in magnitude between units (the zero point is arbitrary (e.g. degrees Fahrenheit) Ratio variable - Correct answer Like 'interval' but with an absolute zero (degrees Kelvin, heart rate, BP, time, distance) Descriptive statistics - Correct answer used to summarize and describe data that are collected or generated in research studies (done both visually and numerically) Descriptive statistics: Visual methods - Correct answer Frequency distribution, histogram, scatterplot, boxplot
Descriptive statistics: Numerical methods: Measures of central tendency - Correct answer Arithmetic mean, median, mode Descriptive statistics: Numerical methods: Measures of data spread or variability - Correct answer standard deviation, range, percentiles Descriptive stats: arithmetic mean - Correct answer used only for continuous and normally distributed data, very sensitive to outliers Descriptive stats: Median - Correct answer also called 50th percentile, used for ordinal or continuous data, NOT sensitive to outliers Descriptive stats: Mode - Correct answer used for nominal, ordinal, or continuous data, does not help describe meaningful distributions with a large range of values Descriptive stats: Standard deviation - Correct answer measure of variability about the mean, square root of variance returns variance back to original units (non-squared), applied only to continuous data that are normally distributed Standard deviation: Empirical rule for normal distributions - Correct answer 68% of the sample values found within +/- 1 SD, 95% are found within +/- 2 SD, 99% found within +/- 3 SD Standard deviation: Coefficient variation - Correct answer Coefficient of variation = SD/mean x 100% Descriptive stats: Range - Correct answer difference between smallest and largest values, size of range is very sensitive to outliers, often reported as actual values rather than the difference between the two extreme values Descriptive stats: percentiles - Correct answer the 75th percentile lies at a point at which 75% of the other values are smaller, does not assume population has a normal distribution, the interquartile range (IQR) is an example of the use of percentiles to describe the middle 50% values. IQR encompasses the 25th-75th percentile Inferential statistics - Correct answer conclusions or generalizations made about a population from the study of a sample of that population, statistical inference can be made by estimation or hypothesis testing
Types of hypothesis testing: Directional - Correct answer Superiority: Is mean 1 > 2? Noninferiority: Is mean 1 no more than a certain amount lower than mean 2? Directional hypothesis testing: Method - Correct answer Superiority: Traditional 1 - sided t-test; confidence intervals Noninferiority: Confidence intervals Statistical tests: Parametric - Correct answer - assumes data distribution is normal
ANCOVA: Nominal data - Fischer exact test - Correct answer Specialized version of the chi-square test for small groups (cells) containing less than 5 predicted observations ANCOVA: Nominal data - McNemar - Correct answer Paired samples ANCOVA: Nominal data - Mantel-Haenszel - Correct answer controls for the influence of confounders