Fig. 4: METRIC can correct the measurement error in assessed nutrient profiles on real data from MCTS (microbiome diet study)31.
The Pearson’s Rank Correlation Coefficient \(\rho\) is adopted to evaluate the correlation across various types of nutrient profiles. All nutrient concentrations are in the unit of grams. All corrected/true values shown are the log of nutrient concentrations. a \({\rho }_{c}\) (i.e., \(\rho\) between corrected and true values) and \({\rho }_{a}\) (i.e., \(\rho\) between assessed and true values) decrease as the standard deviation of added Gaussian noise \(\sigma\) increases. Data are presented as mean values +/− standard error of the mean (SEM), derived from five training repeats (n = 5) for each case. All following panels focus on the case of \(\sigma\) = 1.0. b The correlation between assessed values and true values of log concentrations of carotene among different samples. c The correlation between corrected values (predictions of METRIC) and true values of log concentrations of carotene among different samples. d, e The similar comparison for octadecanoic acid shows a modest correction. f, g The similar comparison for fiber shows a strong correction. h The correction performance for all nutrients is measured by (\({\rho }_{c}-{\rho }_{a}\)). Source data are provided as a source data file.
