{"title":"作为混响横波弹性学拟合优度参数的回归标准误差和决定系数的评价","authors":"Aldo Tecse, Stefano Enrique Romero, B. Castañeda","doi":"10.1109/LAUS53676.2021.9639190","DOIUrl":null,"url":null,"abstract":"Several studies of Reverberant shear wave elastography (R-SWE) have shown its potential for clinical applications. Previous studies of R-SWE present a shear wave speed (SWS) estimation based on a curve-fitting of the regression of Bessel functions to find the wavenumber. Recently, the coefficient of determination (R2) was proposed as a goodness-of-fit (GoF) parameter, however, this parameter is not optimal for non-linear fit according to the literature. For this reason, this study proposes the Standard error of the regression (S) as a (GoF). Numerical simulations were performed for 10 000 plane waves to produce a reverberant field. S and R2 parameters were evaluated using a vibration frequency from 300 to 900 Hz with steps of 200 Hz. Besides, this study suggests a threshold value to reduce estimation error with S. Experiments showed negative values for R2 even with 10 000 plane waves. Finally, a threshold of 0.15 for S reduced the bias and coefficient of variation, preserving a major percentage of information.","PeriodicalId":156639,"journal":{"name":"2021 IEEE UFFC Latin America Ultrasonics Symposium (LAUS)","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Evaluation of the Standard Error of the Regression and Coefficient of Determination as goodness-of-fit parameters for Reverberant Shear Wave Elastography\",\"authors\":\"Aldo Tecse, Stefano Enrique Romero, B. Castañeda\",\"doi\":\"10.1109/LAUS53676.2021.9639190\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Several studies of Reverberant shear wave elastography (R-SWE) have shown its potential for clinical applications. Previous studies of R-SWE present a shear wave speed (SWS) estimation based on a curve-fitting of the regression of Bessel functions to find the wavenumber. Recently, the coefficient of determination (R2) was proposed as a goodness-of-fit (GoF) parameter, however, this parameter is not optimal for non-linear fit according to the literature. For this reason, this study proposes the Standard error of the regression (S) as a (GoF). Numerical simulations were performed for 10 000 plane waves to produce a reverberant field. S and R2 parameters were evaluated using a vibration frequency from 300 to 900 Hz with steps of 200 Hz. Besides, this study suggests a threshold value to reduce estimation error with S. Experiments showed negative values for R2 even with 10 000 plane waves. Finally, a threshold of 0.15 for S reduced the bias and coefficient of variation, preserving a major percentage of information.\",\"PeriodicalId\":156639,\"journal\":{\"name\":\"2021 IEEE UFFC Latin America Ultrasonics Symposium (LAUS)\",\"volume\":\"23 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-10-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 IEEE UFFC Latin America Ultrasonics Symposium (LAUS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/LAUS53676.2021.9639190\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 IEEE UFFC Latin America Ultrasonics Symposium (LAUS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LAUS53676.2021.9639190","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Evaluation of the Standard Error of the Regression and Coefficient of Determination as goodness-of-fit parameters for Reverberant Shear Wave Elastography
Several studies of Reverberant shear wave elastography (R-SWE) have shown its potential for clinical applications. Previous studies of R-SWE present a shear wave speed (SWS) estimation based on a curve-fitting of the regression of Bessel functions to find the wavenumber. Recently, the coefficient of determination (R2) was proposed as a goodness-of-fit (GoF) parameter, however, this parameter is not optimal for non-linear fit according to the literature. For this reason, this study proposes the Standard error of the regression (S) as a (GoF). Numerical simulations were performed for 10 000 plane waves to produce a reverberant field. S and R2 parameters were evaluated using a vibration frequency from 300 to 900 Hz with steps of 200 Hz. Besides, this study suggests a threshold value to reduce estimation error with S. Experiments showed negative values for R2 even with 10 000 plane waves. Finally, a threshold of 0.15 for S reduced the bias and coefficient of variation, preserving a major percentage of information.