References
- Arias-Castro, E. , and Pelletier, B. (2016), “On the Consistency of the Crossmatch Test,” Journal of Statistical Planning and Inference , 171, 184–190. DOI: https://doi.org/10.1016/j.jspi.2015.10.003.
- Bantug, G. R. , Galluzzi, L. , Kroemer, G. , and Hess, C. (2017), “The Spectrum of T Cell Metabolism in Health and Disease,” Nature Reviews Immunology , 18, 19–34. DOI: https://doi.org/10.1038/nri.2017.99.
- Benjamini, Y. , and Hochberg, Y. (1995), “Controlling the False Discovery Rate: A Practical and Powerful Approach to Multiple Testing,” Journal of the Royal Statistical Society, Series B, 57, 289–300. DOI: https://doi.org/10.1111/j.2517-6161.1995.tb02031.x.
- Bhattacharya, B. B. (2020), “Two-Sample Tests Based on Geometric Graphs: Asymptotic Distribution and Detection Thresholds,” The Annals of Statistics (to appear).
- Bickel, P. J. (1969), “A Distribution Free Version of the Smirnov Two Sample Test in the p-Variate Case,” The Annals of Mathematical Statistics , 40, 1–23. DOI: https://doi.org/10.1214/aoms/1177697800.
- Biswas, M. , Mukhopadhyay, M. , and Ghosh, A. K. (2014), “A Distribution-Free Two-Sample Run Test Applicable to High-Dimensional Data,” Biometrika , 101, 913–926. DOI: https://doi.org/10.1093/biomet/asu045.
- Chen, H. , Chen, X. , and Su, Y. (2018), “A Weighted Edge-Count Two-Sample Test for Multivariate and Object Data,” Journal of the American Statistical Association , 113, 1146–1155. DOI: https://doi.org/10.1080/01621459.2017.1307757.
- Chen, H. , and Friedman, J. H. (2017), “A New Graph-Based Two-Sample Test for Multivariate and Object Data,” Journal of the American Statistical Association , 112, 397–409. DOI: https://doi.org/10.1080/01621459.2016.1147356.
- Chen, H. , and Small, D. S. (2016), “New Multivariate Tests for Assessing Covariate Balance in Matched Observational Studies,” arXiv no. 1609.03686.
- Fey, D. , Halasz, M. , Dreidax, D. , Kennedy, S. P. , Hastings, J. F. , Rauch, N. , Munoz, A. G. , Pilkington, R. , Fischer, M. , Westermann, F. , Kolch, W. , Kholodenko, B. N. , and Croucher, D. R. (2015), “Signaling Pathway Models as Biomarkers: Patient-Specific Simulations of JNK Activity Predict the Survival of Neuroblastoma Patients,” Science Signaling , 8, ra130. DOI: https://doi.org/10.1126/scisignal.aab0990.
- Friedman, J. H. , and Rafsky, L. C. (1979), “Multivariate Generalizations of the Wald-Wolfowitz and Smirnov Two-Sample Tests,” The Annals of Statistics , 7, 697–717. DOI: https://doi.org/10.1214/aos/1176344722.
- Ghosal, P. , and Sen, B. (2019), “Multivariate Ranks and Quantiles Using Optimal Transportation and Applications to Goodness-of-Fit Testing,” arXiv no. 1905.05340.
- Gibbons, J. D. , and Chakraborti, S. (2011), Nonparametric Statistical Inference , Berlin, Heidelberg: Springer Berlin Heidelberg.
- Guo, X. , Zhang, Y. , Zheng, L. , Zheng, C. , Song, J. , Zhang, Q. , Kang, B. , Liu, Z. , Jin, L. , Xing, R. , Gao, R. , Zhang, L. , Dong, M. , Hu, X. , Ren, X. , Kirchhoff, D. , Roider, H. G. , Yan, T. , and Zhang, Z. (2018), “Global Characterization of T Cells in Non-Small-Cell Lung Cancer by Single-Cell Sequencing,” Nature Medicine , 24, 978–985. DOI: https://doi.org/10.1038/s41591-018-0045-3.
- Györfi, L. , and Nemetz, T. (1975), “f-Dissimilarity: A General Class of Separation Measures of Several Probability Measures,” Topics in Information Theory , 16, 309–321.
- Heller, R. , Jensen, S. T. , Rosenbaum, P. R. , and Small, D. S. (2010), “Sensitivity Analysis for the Cross-Match Test, With Applications in Genomics,” Journal of the American Statistical Association , 105, 1005–1013. DOI: https://doi.org/10.1198/jasa.2010.ap09260.
- Heller, R. , Rosenbaum, P. R. , and Small, D. S. (2010), “Using the Cross-Match Test to Appraise Covariate Balance in Matched Pairs,” The American Statistician , 64, 299–309. DOI: https://doi.org/10.1198/tast.2010.09210.
- Henze, N. (1988), “A Multivariate Two-Sample Test Based on the Number of Nearest Neighbor Type Coincidences,” The Annals of Statistics , 16, 772–783. DOI: https://doi.org/10.1214/aos/1176350835.
- Henze, N. , and Penrose, M. D. (1999), “On the Multivariate Runs Test,” The Annals of Statistics , 27, 290–298. DOI: https://doi.org/10.1214/aos/1018031112.
- Kanehisa, M. , Furumichi, M. , Tanabe, M. , Sato, Y. , and Morishima, K. (2016), “KEGG: New Perspectives on Genomes, Pathways, Diseases and Drugs,” Nucleic Acids Research , 45, D353–D361. DOI: https://doi.org/10.1093/nar/gkw1092.
- Kruskal, W. H. (1952), “A Nonparametric Test for the Several Sample Problem,” The Annals of Mathematical Statistics , 23, 525–540. DOI: https://doi.org/10.1214/aoms/1177729332.
- Kruskal, W. H. , and Wallis, W. A. (1952), “Use of Ranks in One-Criterion Variance Analysis,” Journal of the American Statistical Association , 47, 583–621. DOI: https://doi.org/10.1080/01621459.1952.10483441.
- Lalanne, J.-B. , Taggart, J. C. , Guo, M. S. , Herzel, L. , Schieler, A. , and Li, G.-W. (2018), “Evolutionary Convergence of Pathway-Specific Enzyme Expression Stoichiometry,” Cell , 173, 749–761. DOI: https://doi.org/10.1016/j.cell.2018.03.007.
- Lynch, M. , and Marinov, G. K. (2015), “The Bioenergetic Costs of a Gene,” Proceedings of the National Academy of Sciences of the United States of America , 112, 15690–15695. DOI: https://doi.org/10.1073/pnas.1514974112.
- Maa, J.-F. , Pearl, D. K. , and Bartoszyński, R. (1996), “Reducing Multidimensional Two-Sample Data to One-Dimensional Interpoint Comparisons,” The Annals of Statistics , 24, 1069–1074. DOI: https://doi.org/10.1214/aos/1032526956.
- Mann, H. B. , and Whitney, D. R. (1947), “On a Test of Whether One of Two Random Variables Is Stochastically Larger Than the Other,” The Annals of Mathematical Statistics , 18, 50–60. DOI: https://doi.org/10.1214/aoms/1177730491.
- Mardia, K. , Kent, J. , and Bibby, J. (1979), Multivariate Analysis , Probability and Mathematical Statistics, London: Academic Press.
- Matthews, D. E. (2007), “An Overview of Phenylalanine and Tyrosine Kinetics in Humans,” The Journal of Nutrition , 137, 1549S–1555S. DOI: https://doi.org/10.1093/jn/137.6.1549S.
- McHugh, M. D. , Berez, J. , and Small, D. S. (2013), “Hospitals With Higher Nurse Staffing Had Lower Odds of Readmissions Penalties Than Hospitals With Lower Staffing,” Health Affairs , 32, 1740–1747. DOI: https://doi.org/10.1377/hlthaff.2013.0613.
- Mood, A. M. (1940), “The Distribution Theory of Runs,” The Annals of Mathematical Statistics , 11, 367–392. DOI: https://doi.org/10.1214/aoms/1177731825.
- Nettleton, D. , and Banerjee, T. (2001), “Testing the Equality of Distributions of Random Vectors With Categorical Components,” Computational Statistics & Data Analysis , 37, 195–208. DOI: https://doi.org/10.1016/S0167-9473(01)00015-9.
- Ogretmen, B. (2017), “Sphingolipid Metabolism in Cancer Signalling and Therapy,” Nature Reviews Cancer , 18, 33–50. DOI: https://doi.org/10.1038/nrc.2017.96.
- Peregrín-Alvarez, J. M. , Sanford, C. , and Parkinson, J. (2009), “The Conservation and Evolutionary Modularity of Metabolism,” Genome Biology , 10, 1–17. DOI: https://doi.org/10.1186/gb-2009-10-6-r63.
- Petrie, A. (2016), “Graph-Theoretic Multisample Tests of Equality in Distribution for High Dimensional Data,” Computational Statistics & Data Analysis , 96, 145–158. DOI: https://doi.org/10.1016/j.csda.2015.11.003.
- Rizzetto, S. , Eltahla, A. A. , Lin, P. , Bull, R. , Lloyd, A. R. , Ho, J. W. K. , Venturi, V. , and Luciani, F. (2017), “Impact of Sequencing Depth and Read Length on Single Cell RNA Sequencing Data of T Cells,” Scientific Reports , 7, 1–11. DOI: https://doi.org/10.1038/s41598-017-12989-x.
- Rosenbaum, P. R. (2005), “An Exact Distribution-Free Test Comparing Two Multivariate Distributions Based on Adjacency,” Journal of the Royal Statistical Society, Series B, 67, 515–530. DOI: https://doi.org/10.1111/j.1467-9868.2005.00513.x.
- Salavert, F. , Hidago, M. R. , Amadoz, A. , Cubuk, C. , Medina, I. , Crespo, D. , Carbonell-Caballero, J. , and Dopazo, J. (2016), “Actionable Pathways: Interactive Discovery of Therapeutic Targets Using Signaling Pathway Models,” Nucleic Acids Research , 44, W212–W216. DOI: https://doi.org/10.1093/nar/gkw369.
- Schenk, U. , Frascoli, M. , Proietti, M. , Geffers, R. , Traggiai, E. , Buer, J. , Ricordi, C. , Westendorf, A. M. , and Grassi, F. (2011), “ATP Inhibits the Generation and Function of Regulatory T Cells Through the Activation of Purinergic P2X Receptors,” Science Signaling , 4, ra12. DOI: https://doi.org/10.1126/scisignal.2001270.
- Schilling, M. F. (1986), “Multivariate Two-Sample Tests Based on Nearest Neighbors,” Journal of the American Statistical Association , 81, 799–806. DOI: https://doi.org/10.1080/01621459.1986.10478337.
- Smirnov, N. (1939), “On the Estimation of the Discrepancy Between Empirical Curves of Distribution for Two Independent Samples,” Bulletin de Universite de Moscow, Serie Internationale (Mathematiques) , 2, 3–14.
- Uhlig, S. , and Gulbins, E. (2008), “Sphingolipids in the Lungs,” American Journal of Respiratory and Critical Care Medicine , 178, 1100–1114. DOI: https://doi.org/10.1164/rccm.200804-595SO.
- Wald, A. , and Wolfowitz, J. (1940), “On a Test Whether Two Samples Are From the Same Population,” The Annals of Mathematical Statistics , 11, 147–162. DOI: https://doi.org/10.1214/aoms/1177731909.
- Weiss, L. (1960), “Two-Sample Tests for Multivariate Distributions,” The Annals of Mathematical Statistics , 31, 159–164. DOI: https://doi.org/10.1214/aoms/1177705995.
- Wu, A. R. , Wang, J. , Streets, A. M. , and Huang, Y. (2017), “Single-Cell Transcriptional Analysis,” Annual Review of Analytical Chemistry , 10, 439–462. DOI: https://doi.org/10.1146/annurev-anchem-061516-045228.
- Zheng, C. , Zheng, L. , Yoo, J.-K. , Guo, H. , Zhang, Y. , Guo, X. , Kang, B. , Hu, R. , Huang, J. Y. , and Zhang, Q. (2017), “Landscape of Infiltrating T Cells in Liver Cancer Revealed by Single-Cell Sequencing,” Cell , 169, 1342–1356. DOI: https://doi.org/10.1016/j.cell.2017.05.035.