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ESSENCE (Evaluating Statistical Significance undEr Noise CorrElation) evaluates the statistical significance of image analysis and signal detection under correlated noise in interferometric images (e.g., ALMA, NOEMA). It measures the noise autocorrelation function (ACF) to fully characterize the statistical properties of spatially correlated noise in the interferometric image, computes the noise in the spatially integrated quantities (e.g., flux, spectrum) with a given aperture, and simulates noise maps with the same correlation property. ESSENSE can also construct a covariance matrix from noise ACF, which can be used for a 2d image or 3d cube model fitting.