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On the consistent and scalable detection of spatial patterns.

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    New statistical methods unify spatial pattern detection in large omics datasets. We identified inconsistencies in common tests and developed scalable corrections for robust analysis.

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    Area of Science:

    • Computational biology
    • Spatial omics
    • Statistical genomics

    Background:

    • Detecting spatial patterns is crucial for scientific discovery but current methods for large-scale spatial omics data lack statistical consensus and face computational challenges.
    • Existing approaches often lack a unified theoretical framework, leading to inconsistencies and limitations in analyzing complex datasets.

    Purpose of the Study:

    • To unify major statistical approaches for spatial pattern detection in omics data.
    • To derive general consistency conditions for these methods.
    • To develop scalable and robust methods for analyzing large-scale spatial omics and single-cell lineage-tracing datasets.

    Main Methods:

    • Unified several major spatial pattern detection approaches into a single quadratic form.
    • Derived general consistency conditions for statistical tests.
    • Developed scalable corrections for inconsistent methods, including Moran's I.

    Main Results:

    • Revealed that several widely used methods, such as Moran's I, are statistically inconsistent for spatial pattern detection.
    • Proposed scalable corrections that address these inconsistencies.
    • Demonstrated the ability to perform robust pattern detection across millions of spatial locations.

    Conclusions:

    • The developed unified framework and corrected methods provide a statistically sound and computationally efficient solution for spatial pattern detection in large omics datasets.
    • This approach enhances the reliability and scalability of analyzing complex spatial omics and lineage-tracing data.
    • Enables robust discovery of spatial patterns critical for advancing biological insights.