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Combined Immunofluorescence and DNA FISH on 3D-preserved Interphase Nuclei to Study Changes in 3D Nuclear Organization

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Sample size calculation for the van Elteren test adjusting for ties.

Yan D Zhao¹, Dewi Rahardja, Yajun Mei

¹Lilly Research Laboratories, Eli Lilly and Company, Indianapolis, Indiana 46285, USA. yzhao@lilly.com

Journal of Biopharmaceutical Statistics

|November 11, 2008

Summary

This summary is machine-generated.

This study introduces a new, easy-to-use sample size calculation for the van Elteren test, specifically designed for ordinal data. Simulations confirm its accuracy, ensuring reliable statistical power for research involving ranked data.

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Area of Science:

Biostatistics
Statistical Methods
Data Analysis

Background:

The van Elteren test is a valuable tool for analyzing data in specific statistical contexts.
Existing sample size calculation methods for the van Elteren test are limited to continuous data and do not account for ties.
This limitation restricts the application of the van Elteren test in studies with ordinal or non-continuous data structures.

Purpose of the Study:

To develop and present a novel sample size calculation method for the asymptotic van Elteren test.
To extend the applicability of sample size calculations to ordinal data, addressing a gap in existing methodologies.
To provide a computationally simple and accurate formula for researchers working with ordinal data.

Main Methods:

Development of a new closed-form formula for sample size calculation.
The method is specifically designed to accommodate ordinal data, including potential ties.
Validation through Monte Carlo simulations to assess the performance of the proposed formula.

Main Results:

The newly developed sample size formula is presented with a clear, closed-form expression.
The formula is demonstrated to be easy to calculate, enhancing its practical utility.
Simulation results indicate that the actual statistical powers achieved using this sample size method closely match the nominal (desired) powers.

Conclusions:

The proposed sample size calculation method effectively addresses the limitations of previous approaches for ordinal data.
The new method provides a reliable and straightforward tool for researchers planning studies that utilize the van Elteren test with ordinal variables.
The strong agreement between nominal and actual powers suggests the method's robustness and suitability for practical application in statistical research.