mathematics

Biostatistics & Clinical Trials

Explore the statistical methods that underpin medical research — survival analysis, sample size calculation, clinical trial design, and meta-analysis.

biostatisticsclinical trialssurvival analysissample sizemeta-analysisregressionevidence-based medicine

Biostatistics is the application of statistical methods to biological and medical research. It provides the mathematical framework that determines whether a new drug works, whether a risk factor causes disease, and whether a public health intervention saves lives. Every clinical trial, every epidemiological study, and every drug approval depends on biostatistical analysis.

The field emerged from the pioneering work of Ronald Fisher, Austin Bradford Hill, and Jerzy Neyman in the early 20th century. Today it encompasses survival analysis (modeling time-to-event data), sample size calculation (ensuring studies have adequate power to detect real effects), clinical trial design (randomization, blinding, adaptive methods), meta-analysis (combining results across studies), and regression diagnostics (validating model assumptions).

These simulators let you explore the core methods of biostatistics interactively. Generate Kaplan-Meier survival curves and watch how censoring affects estimates. Calculate the sample size needed to detect a treatment effect with specified power. Design multi-arm clinical trials with interim analyses. Combine effect sizes across studies in a forest plot. Diagnose regression model violations through residual analysis.

Mastering these tools is essential for anyone involved in medical research, pharmaceutical development, regulatory science, or evidence-based medicine. The decisions made using these methods directly affect which treatments reach patients and how healthcare resources are allocated.

5 interactive simulations

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Adaptive Clinical Trial Design

Simulate a multi-arm adaptive clinical trial with interim analyses — visualize efficacy boundaries, futility stopping, and arm-dropping decisions

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Meta-Analysis Forest Plot

Combine effect estimates from multiple studies into a pooled estimate — visualize forest plots, heterogeneity, and the impact of individual study weights

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Regression Diagnostics & Residual Analysis

Fit a regression model and diagnose violations — visualize residual plots, leverage, Cook's distance, and normality checks

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Sample Size & Power Calculator

Calculate the sample size needed to detect a treatment effect with specified power — visualize the relationship between effect size, sample size, and Type I/II error

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Kaplan-Meier Survival Analysis

Generate and compare Kaplan-Meier survival curves for treatment vs. control groups — visualize censoring, confidence intervals, and hazard ratios