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Previously published methods for normalization primarily depend on the assumption that the distribution of protein expression is similar across all samples. However, this assumption fails when the protein expression data is generated from heterogenous samples, such as from various tissue types. This led us to develop a novel data-driven method for improved normalization to correct the systematic bias meanwhile maintaining underlying biological heterogeneity.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Results<\/jats:title>\n                    <jats:p>To robustly correct the systematic bias, we used the density-power-weight method to down-weigh outliers and extended the one-dimensional robust fitting method described in the previous work to our structured data. We then constructed a robustness criterion and developed a new normalization algorithm, called RobNorm.<\/jats:p>\n                    <jats:p>In simulation studies and analysis of real data from the genotype-tissue expression project, we compared and evaluated the performance of RobNorm against other normalization methods. We found that the RobNorm approach exhibits the greatest reduction in systematic bias while maintaining across-tissue variation, especially for datasets from highly heterogeneous samples.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Availabilityand implementation<\/jats:title>\n                    <jats:p>https:\/\/github.com\/mwgrassgreen\/RobNorm.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Supplementary information<\/jats:title>\n                    <jats:p>Supplementary data are available at Bioinformatics online.<\/jats:p>\n                  <\/jats:sec>","DOI":"10.1093\/bioinformatics\/btaa904","type":"journal-article","created":{"date-parts":[[2020,10,9]],"date-time":"2020-10-09T07:19:06Z","timestamp":1602227946000},"page":"815-821","source":"Crossref","is-referenced-by-count":12,"title":["RobNorm: model-based robust normalization method for labeled quantitative mass spectrometry proteomics data"],"prefix":"10.1093","volume":"37","author":[{"given":"Meng","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Genetics, Stanford University , Stanford, CA 94305, USA"}]},{"given":"Lihua","family":"Jiang","sequence":"additional","affiliation":[{"name":"Department of Genetics, Stanford University , Stanford, CA 94305, USA"}]},{"given":"Ruiqi","family":"Jian","sequence":"additional","affiliation":[{"name":"Department of Genetics, Stanford University , Stanford, CA 94305, USA"}]},{"given":"Joanne Y","family":"Chan","sequence":"additional","affiliation":[{"name":"Department of Genetics, Stanford University , Stanford, CA 94305, USA"}]},{"given":"Qing","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Genetics, Stanford University , Stanford, CA 94305, USA"}]},{"given":"Michael P","family":"Snyder","sequence":"additional","affiliation":[{"name":"Department of Genetics, Stanford University , Stanford, CA 94305, USA"}]},{"given":"Hua","family":"Tang","sequence":"additional","affiliation":[{"name":"Department of Genetics, Stanford University , Stanford, CA 94305, USA"}]}],"member":"286","published-online":{"date-parts":[[2020,10,24]]},"reference":[{"key":"2023051705205307900_btaa904-B1","first-page":"2778","volume":"20","author":"Ballman","year":"2004","journal-title":"Bioinformatics (Oxford, England)"},{"key":"2023051705205307900_btaa904-B2","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1093\/biomet\/85.3.549","volume":"85","author":"Basu","year":"1998","journal-title":"Biometrika"},{"key":"2023051705205307900_btaa904-B3","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1111\/j.2517-6161.1995.tb02031.x","volume":"57","author":"Benjamini","year":"1995","journal-title":"J. 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