Biostatistics Exam Guide: Key Concepts & Tests, Exams of Medicine

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.

Typology: Exams

2024/2025

Available from 11/20/2024

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BCPS Biostats examination practices
with the best marking schemes 2024
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
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BCPS – Biostats examination practices

with the best marking schemes 2024

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

  • Hypothesis testing
  • Deception (e.g. makes results look less 'variable' especially when used in graphic format) Confidence intervals - Correct answer most common: 95% in repeated samples, 95% of all CIs include true population value The wider the CI, the more likely it is to encompass the true population mean (which is why 95% CI is used) CIs vs hypothesis testing - Correct answer calculation of p-values tell us whether there is or is not a statistically significant difference between groups, but do not tell us anything about the magnitude of the difference CIs help us determine the importance of the finding(s)
  • give us an idea of the magnitude of the difference between groups and the statistical significance Wide CIs - Correct answer many results are possible, either larger or smaller than the point estimate provided by the study All values contained in the CI are statistically plausible CIs: if estimate is the difference between two continuous variable - Correct answer A CI that includes zero (no difference between two variables) can be interpreted as not clinically significant CIs: odds ratios and relative risks interpretation - Correct answer a value of 1 indicates no difference -- if CI includes 1, there is no statistical difference Types of hypothesis testing: nondirectional - Correct answer Difference - are the means different Equivalence - are the means practically equivalent Nondirectional hypothesis testing: method - Correct answer Traditional 2 - sided test Confidence intervals

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

  • assumes data measured are continuous data (interval or ratio scale)
  • assumes data have variances that are homogenous between the groups investigated Statistical tests: Nonparametric - Correct answer used when data are not normally distributed or do not meet other criteria for parametric tests (e.g. discrete data) Parametric tests - Correct answer 1. student t-test
  1. ANOVA (analysis of variance)
  2. ANCOVA (analysis of covariance) Student t-test - Correct answer Types:
  3. one-sample test: compares the mean of the study sample with the population mean
  • Group 1 vs known population mean
  1. two-sample/independent sample/unpaired test: compares the means of two independent samples
  • Group 1 vs Group 2
  1. paired test: compares mean difference of paired or matched samples (related samples test)
  • Group 1 --> Measurement 1 vs Measurement 2 ANOVA - Correct answer 1. one-way ANOVA: compares the means of three or more groups in a study (independent samples test)
  • Group 1 vs Group 2 vs Group 3

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