Tuesday, June 23, 2009

Basics of Biostatistics

Descriptive statistics
Continuous data
Location
•Mean (Arithmetic, Geometric, Harmonic) · Median · Mode
Dispersion
•Range · Standard deviation · Coefficient of variation · Percentile
Moments
•Variance · Semivariance · Skewness · Kurtosis

Categorical data
•Frequency · Contingency table


Inferential statistics and hypothesis testing
Inference

•Confidence interval (Frequentist inference) · Credible interval (Bayesian inference)· Significance· Meta-analysis

Design of experiments
•Population · Sampling· Stratified sampling · Replication · Blocking · Sensitivity and specificity

Sample size estimation
•Statistical power· Effect size · Standard error

General estimation
•Bayesian estimator · Maximum likelihood · Method of moments · Minimum distance · Maximum spacing

Specific tests
•Z-test (normal) · Student's t-test · F-test · Chi-square test · Pearson's chi-square test · Wald test· Mann–Whitney U · Wilcoxon signed-rank test

Survival analysis
•Survival function · Kaplan-Meier · Logrank test · Failure rate · Proportional hazards models


Correlation and regression
Correlation

•Pearson product-moment correlation · Rank correlation (Spearman's rho, Kendall's tau) · Confounding variable

Linear models
•General linear model · Generalized linear model · Analysis of variance · Analysis of covariance

Regression analysis
•Linear · Nonlinear · Nonparametric · Semiparametric · Logistic

For proper planning of a scientifically sound study a strong biostatistical basis is most essential