Cell type deconvolution is a computational method that estimates the proportions of different cell types within bulk transcriptomics data by leveraging information from reference single-cell RNA sequencing data. Despite its origin as a simple linear regression model, this approach faces challenges due to technical and biological variability and biases between the bulk and single-cell datasets. While several new methods have been developed, most only provide point estimates of cell type proportions, neglecting the uncertainty inherent in these estimates. Consequently, false positives can arise when comparing changes in cell type proportions across multiple individuals. In this paper, we introduce MEAD, a comprehensive statistical framework for efficient cell type deconvolution. Our approach constructs asymptotically valid confidence intervals for individual cell type proportions, as well as for quantifying changes in cell type proportions across multiple individuals. Our analysis accounts for factors such as biological variability in gene expressions, gene-gene dependence, cross-platform biases, and sequencing errors, without relying on parametric assumptions about the data distributions. Moreover, we establish necessary and sufficient conditions for identifying cell type proportions in the presence of platform-specific biases across sequencing technologies.

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