Crossover Sample Size Calculator

Calculate Sample Size for a Crossover Study







Formula

The formula to calculate the Sample Size (n) for a crossover study is:

\[ n = \frac{(Z_{\alpha/2} + Z_{\beta})^2 \cdot 2 \cdot \sigma^2}{\Delta^2} \]

Where:

Crossover Study Definition

A crossover study is a type of clinical trial in which participants receive a sequence of different treatments. Each participant acts as their own control, receiving both the experimental treatment and the control or placebo treatment at different times. This design allows for more efficient use of participants and can provide more reliable comparisons between treatments. Crossover studies are commonly used in medical research to evaluate the efficacy of new treatments or interventions.

Example Calculation

Let's assume the following values:

Using the formula to calculate the Sample Size (n):

\[ n = \frac{(1.96 + 0.84)^2 \cdot 2 \cdot 10^2}{5^2} = \frac{7.84 \cdot 200}{25} = 62.72 \]

The Sample Size (n) is approximately 62.72.