Comparing and Combining Data across Laboratories after Correcting for Inter-laboratory Variation via Integration of Paired-sample Data
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Ying Huang, Fred Hutchinson Cancer Research Center  *Yunda Huang, Fred Hutchinson Cancer Research Center  Sue Li, Fred Hutchinson Cancer Research Center  Zoe Moodie, Fred Hutchinson Cancer Research Center  Steven Self, Fred Hutchinson Cancer Research Center 

Keywords: Conditional mean, External data, Measurement error,Sample size

It is of interest to compare and combine immune responses from two independent samples measured by the same type of assay across different laboratories. Inter-laboratory variations will need to be adjusted for in this process to achieve valid inferences. We address this problem for continuous assay via integration of external data, collected on paired samples from the same two laboratories. We consider approaches for estimation and testing of the mean difference of the two independent samples. Simulation results under a variety of scenarios demonstrate satisfactory finite sample performance of our proposed method. These results also provide guidance on the sample size requirement of paired-sample studies in order to obtain adequate power in such data integration across laboratories. We apply our methods to analyze real ELISPot assay data generated by two major HIV network laboratories.