Gamma distribution and house 222Rn measurements

Area of Science:

• Environmental Science
• Statistics
• Public Health

Background:

• Radon-222 (222Rn) is a naturally occurring radioactive gas that can accumulate in homes.
• Accurate statistical modeling of radon levels is crucial for health risk assessment.

Purpose of the Study:

• To investigate the statistical distribution of 222Rn measurements in homes.
• To compare the suitability of gamma and normal distributions for modeling 222Rn data.

Main Methods:

• Statistical analysis of 222Rn measurements from homes in northeastern Pennsylvania.
• Comparison of goodness-of-fit for gamma and normal distributions on the logarithm of 222Rn levels.

Main Results:

• The gamma distribution provided a statistically superior fit compared to the normal distribution (p < 0.005).
• The gamma distribution demonstrated a closer fit in both the central and upper tail portions of the data.

Conclusions:

• The gamma distribution is a more appropriate model for the frequency distribution of 222Rn levels in homes.
• This improved statistical model can enhance radon risk assessments and epidemiological study designs.