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. 2019 Jun 21;10(6):953–978. doi: 10.1093/advances/nmz022

TABLE 3.

Review of methods used to analyze precision nutrition studies1

Citation Microbiome measures Association or prediction Statistical methods
Fiber
 Korpela et al. (2014) (15) Microbiota composition (HITChip microarray) Prediction Linear models Logistic regression Independent test cohorts AIC Correlation criterion
 Korem et al. (2017) (16) Microbiota composition and function (16S and metagenomics) Prediction Linear mixed model PCA, PCoA (Bray–Curtis) Stochastic gradient boosting regression Internal leave-one-out cross-validation AUC criterion
 Smits et al. (2016) (17) Microbiota composition (16S) Prediction PCA, PCoA (Unweighted UniFrac) Mann–Whitney–Wilcoxon test Wilcoxon rank test Mantel's Pearson test Procrustes transformation Random forests LDA
 Hjorth et al. (2017) (18) Microbiota enterotype (Prevotella to Bacteroides (P/B) ratio, qPCR) Association Parametric (t-test) or nonparametric (Wilcoxon rank-sum) 2-sample test Chi-square test Linear mixed models
 Roager et al. (2014) (19) Microbiota enterotype (Prevotella to Bacteroides (P/B) ratio, qPCR) Association Mann–Whitney U test or unpaired t-test Wilcoxon signed-rank test or paired t-test Chi-square test PCA
 Zhao et al. (2018) (20) Microbiota composition and function (metagenomics) Association 2-way and 1-way ANOVA Mann–Whitney test PCoA (Bray–Curtis) Procrustes analysis Wilcoxon matched-pair signed-rank test Network plots
 Kovatcheva-Datchary et al. (2015) (21) Microbiota composition (16S and 16S qPCR) and function (shotgun metagenomics, MG-RAST) Association Spearman's correlation 2 group comparison: Student's t-test, Wilcoxon matched-pairs signed-rank test, and Mann–Whitney U test 3 + comparison: ANOVA PCoA (Unweighted UniFrac)
 Chen et al. (2017) (9) Microbiota enterotype (Prevotella or Bacteroidetes, 16S) Association RDA PCoA (weighted Unifrac) Chi-square test Procrustes analysis
 Salonen et al. (2014) (22) and Walker et al. (2011) (23) Microbiota composition (HITChip microarray, qPCR) Association Linear mixed models (random effects regression, hierarchical generalized linear models) Pearson's correlation ANOVA
 Tap et al. (2015) (24) Microbiome composition (qPCR, 16S) and function (metatranscriptomics) Association Co-inertia using RV coefficient Wilcoxon signed-rank test Spearman correlation
 Martinez et al. (2010) (77) Microbiome composition (16S, DGGE, Bif.-specific qPCR) Association 1-way ANOVA
 Martinez et al. (2013) (25) Microbiota composition (16S) Association Pearson's correlation Linear model
 Venkataramaran et al. (2016) (26) Microbiome composition (16S) Association k-means clustering Random forests LEfSe
 Davis et al. (2011) (27) Microbiome composition (plate counts, PCR-DGGE, qPCR) Association ANOVA
 Bouhnik et al. (2004) (28) Microbiota composition (plate counts) Association ANOVA Wilcoxon signed-rank test Bonferroni test
 Tuohy et al. (2007) (29) Microbiome composition (FISH) Association Paired t-test
 Eid et al. (2015) (30) Microbiota composition (FISH) Association Linear model ANOVA Paired t-test
 Tuohy et al. (2001) (31) Microbiome composition (FISH) Association Paired t-test
 Kolida et al. (2007) (32) Microbiota composition (FISH) Association Paired t-test
 de Preter et al. (2008) (33) Microbiota composition (DGGE, qPCR) Association Paired and unpaired t-tests Pearson correlation
 Sonnenburg et al. (2010) (10) Microbiota composition (qPCR) and function (protein expression) Association Paired t-test
 Holscher et al. (2015) (34) Microbiota composition (16S) Association Linear mixed models Mann–Whitney test Pearson's correlation PCoA (Unweighted UniFrac)
 Fuller et al. (2007) (35) Microbiota composition (Bifidobacteria abundance by qPCR) Association ANOVA, ANCOVA
 Energy restriction and excess
 Cotillard et al. (2013) (39) Microbiota richness and composition (metagenomic sequencing) Prediction PCA DBA score Internal cross-validation + independent test cohort AUC criterion
 Shoaie et al. (2015) (40) (using data from Cotillard et al.) Microbiota richness and composition (metagenomic sequencing) Prediction CASINO
 Kong et al. (2013) (41) Microbiota composition (qPCR of 7 bacteria) Prediction BN analysis Internal leave-one-out cross-validation AUC criterion
 Griffin et al. (2017) (42) Microbiota richness, composition (16S) Prediction and association Random forests Internal cross-validation
 Piening et al. (2018) (43) Microbiota composition (16S and metagenomics) Prediction t-tests Random forests AdaBoost Classification ANOVA General linear models LASSO
 Santacruz et al. (2009) (44) Microbiota composition (qPCR) Association Mann–Whitney U test Wilcoxon signed-rank test
 Hjorth et al. (2019) (45) Microbiota composition (16S) Association 1-way ANOVA Pearson's chi-squared test Pearson's correlation Linear mixed models Post hoc t-tests
 Kreznar et al. (2017) (46) Microbiota composition and function (16S, metagenomics) Association ANOVA 2-tailed unpaired Student's t-test (Mann–Whitney U test for nonnormally distributed samples) PCA, PCoA (Unweighted UniFrac) PERMANOVA Pearson correlation
 Parks et al. (2013) (47) Microbiota composition (16S) Association Linear mixed models Biweight midcorrelation PCoA (Unweighted UniFrac)
 Dao et al (2016) (48) Microbiota composition and richness (quantitative metagenomics, (Akkermansia muciniphila abundance also by qPCR) Association BN BIC Paired t-tests or ANCOVA Wilcoxon rank-sum or Kruskal–Wallis Spearman correlation
 Carmody et al. (2015) (49) Microbiota composition (16S) and function (PICRUSt) Association Wilcoxon rank-sum test LEfSe PCoA (Bray–Curtis, Unweighted UniFrac) PERMANOVA
 Zou et al (2019) (51) Microbiota composition and function (metagenomics) Association Wilcoxon rank-sum testPearson's chi-square testPERMANOVA
 Muñiz Pedrogo et al. (2018) (50) Microbiota composition (16S) and function (PICRUSt) Association Wilcoxon rank-sum test LEfSe PERMANOVA Wilcoxon signed-rank
Bioactives, fermented products, and other dietary components
 Faith et al. (2011) (52) Microbiota composition (shotgun sequencing) and gene expression (RNA-seq) Prediction Linear model Internal cross-validation + multiple independent test cohorts
 Zeevi et al. (2015) (54) Microbiota composition and function (16S, metagenomics) Prediction PCoA (Bray–Curtis) Pearson correlation Linear regression Gradient boosting regression Internal cross-validation + independent test cohort PDPs iAUC
 Mendes-Soares et al. (2019) (57) Microbiota composition and function (metagenomics) Prediction Pearson correlationAUC criterionStochastic gradient boosting regression
 Le Chatelier et al. (2013) (12) Microbiota richness, composition, and function (metagenomics, microarray) Prediction DBA score Internal cross-validation + independent test cohort AUC criterion
 Bennet et al. (2018) (55) Microbiota compostion (GA-map Dysbiosis Test) Prediction OPLS-DA Internal leave-one-out cross-validation
 Kolho et al. (2015) (69) Microbiome composition (microarray and qPCR) Prediction Linear mixed effect models PCoA (Bray–Curtis) Internal cross-validation AIC AUC criterion
 Cho et al. (2017) (62) Microbiota composition (16S) Association ANOVA ANOSIM Unpaired t-test PCoA (Unweighted UniFrac)
 Suez et al. (2014) (78) Microbiota composition (16S) Association ANOVA Unpaired t-test G-test PCoA (Weighted UniFrac) Pearson and Spearman correlation Mann–Whitney U test
 Kang et al. (2016) (58) Microbiota composition (16S) and function (PICRUSt) Association ANOVA ANCOVA PCoA (JSD; Euclidean; Bray–Curtis; UniFrac, weighted and unweighted) Clustering (Calinski-Harabasz pseduo F-statistic; Rousseeuw's Silhouette internal cluster quality index)
 Possemiers et al. (2007) (59) Microbiota composition (qPCR) Association Spearman correlation Kruskal–Wallis
 Hullar et al. (2015) (13) Microbiome composition (16S) Association Linear regression Multivariate regression ANOVA PCoA (UniFrac, weighted and unweighted) PAM clustering
 Romo-Vaquero et al. (2019) (60) Microbiome composition (16S) Association Shapiro–Wilk test Wilcoxon signed-rank test Bonferroni t-test Kruskal–Wallis Dunn's test PCA HCA Multinomial logit model Spearman's rank correlation
 Li et al. (2011) (61) Microbiome composition (T-RFLP 16S, qPCR) Association Student's t-test Fisher's exact test NMS MRPP MRBP Cluster analysis Linear regression
 Zmora et al. (2018) (63) Microbiota composition and function (16S, qPCR, metagenomics, RNA-Seq) of stool as well as lumen and mucosa samples Association Kruskal–Wallis Dunn's test PCA PCoA (weighted and unweighted UniFrac) Bray–Curtis dissimilarity Spearman's rank correlation 2-way and 1-way ANOVA Dunnett's test Sidak test Mann–Whitney PERMANOVA
 Zhang et al. (2016) (64) Microbiota composition (qRT-PCR, 16S) Association LEfSe, Kruskal–Wallis LMM PLSDA PCA, PCoA (Weighted UniFrac) CAP PERMANOVA ROC analysis
 Senan et al. (2015) (65) Microbiota composition (16S, metagenomics) and Lactobacilli abundance (plating, qPCR) Association Paired t-tests
 Veiga et al. (2010) (66) Microbiota composition (16S, qPCR, RT-qPCR, metagenomics) Association Mann–Whitney U test 1-Way ANOVA Wilcoxon signed-rank test Hierarchical cluster analysis
 Volokh et al. (2019) (68) Microbiota composition (16S) Association Mann-Whitney testk-means clustering (average silhouette width to determine number of clusters)MaAsLinBenjamini-Hochberg
 Mobini et al. (2017) (67) Microbiota composition (16S) Association Repeated-measures ANCOVA Wilcoxon signed-rank test Mann–Whitney test and Manny Whitney U-test Kruskal–Wallis Spearman's correlation
 Chumpitazi et al. (2015) (56) Microbiota composition (16S) and function (PICRUSt) Association LEfSe PCoA (UniFrac, weighted and unweighted)
 Spencer et al. (2011) (53) Microbiota composition and function (metagenomics) Association paired t-test Welch's t test PCA Linear model

1AdaBoost, adaptive boosting; ADD, average Danish diet; AIC, Akaike information criterion; ANOSIM, analysis of similarities; BIC, Bayesian information criterion; Bif, Bifidobacteria; BN, Bayesian network; CAP, canonical analysis of principal coordinates; CASINO, community and systems-level interactive optimization; DBA, decisive bacterial abundance; DGGE, denaturing gradient gel electrophoresis; FISH, fluorescence in situ hybridization; HCA, hierarchical clustering analysis; HITChip, human intestinal tract chip; iAUC, incremental AUC; JSD, Jensen-Shannon divergence; LASSO, least absolute shrinkage and selection operator; LDA, linear discriminant analysis; LEfSe, linear discriminant analysis effect size; LMM, linear mixed models; MG-RAST, metagenomic rapid annotations using subsystems technology; MRBP, blocked multi-response permutation procedure; MRPP, multi-response permutation procedure; NMS, nonmetric multidimensional scaling ordination; NND, new Nordic diet; OPLS-DA, orthogonal projections to latent structures discriminant analysis; P/B ratio, Prevotella to Bacteroides ratio; PAM, partitioning around medoids; PCA, principal components analysis; PCoA, principal coordinates analysis; PDP, partial dependence plot; PERMANOVA, permutational analysis of variance; PICRUSt, phylogenetic investigation of communities by reconstruction of unobserved states; PLSDA, partial least squares discriminant analysis; RDA, redundancy analysis; ROC, receiver operating characteristic; T-RFLP, terminal restriction fragment length polymorphism.