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Related Experiment Videos

Reference range determination: the problem of small sample sizes.

W D Leslie1, I D Greenberg

  • 1Section of Nuclear Medicine, Saint Boniface General Hospital, Winnipeg, Canada.

Journal of Nuclear Medicine : Official Publication, Society of Nuclear Medicine
|December 1, 1991
PubMed
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Developing accurate reference ranges for quantitative tests is crucial. This study introduces a new statistical method to address variability in small sample sizes, improving test result interpretation in nuclear medicine.

Area of Science:

  • Nuclear Medicine
  • Medical Statistics
  • Quantitative Analysis

Background:

  • Traditional reference range determination (mean +/- 2 SD) is unreliable with small sample sizes common in nuclear medicine.
  • This method overlooks significant variability in sample mean and standard deviation, impacting test accuracy.
  • Accurate reference ranges are essential for developing and validating quantitative diagnostic tests.

Purpose of the Study:

  • To introduce and validate a novel statistical approach for determining reference ranges that accounts for small sample size variability.
  • To improve the interpretation of quantitative test results in nuclear medicine by defining normal, indeterminate, and abnormal ranges.
  • To provide a tool for assessing the impact of sample size on reference range accuracy.

Main Methods:

Related Experiment Videos

  • Developed a method calculating confidence intervals for the upper and lower bounds of traditional reference ranges.
  • Applied the method to differential renal function data (99mTc-DTPA uptake) from twelve renal transplant donors.
  • Derived a nomogram to easily calculate the statistical power of reference range determination based on sample size.

Main Results:

  • The new method identified distinct normal and indeterminate ranges for differential renal function, unlike the traditional method.
  • For 99mTc-DTPA uptake, the traditional range was 50% +/- 8%, while the new method yielded a normal range of 50% +/- 6% and indeterminate ranges.
  • Results suggest that variability in published reference ranges may stem from inadequate sample sizes, a statistical artifact.

Conclusions:

  • The proposed confidence interval approach offers a more robust method for establishing reference ranges, especially in nuclear medicine.
  • This method enhances diagnostic accuracy by recognizing indeterminate ranges, crucial for small patient cohorts.
  • Emphasizes the need to analyze sample size effects on reference range accuracy in studies with limited populations.