CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,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);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="120"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'non-interactive',cRay: '91351af55e764018',cH: 'jiopWTlHrz1sDkjyF3Zu5tqWA1UO8z5KEFQchbs4zM0-1739788260-1.2.1.1-La.YjWnAm9oPJvogt1OxTEax5DPmDqpc3uXO5SGxL11oCnCFevgNJvsmXpHzN_Fq',cUPMDTk: "\/abstracts\/search?q=receiver%20operating%20characteristic%20curve&__cf_chl_tk=pq41Nx9OZbtKHkvgLxDc5PgQo7cD5sdYbpHwNPJOrNs-1739788260-1.0.1.1-r94UwX_7mFNETQttiyt2eVJ9dg_wI9UvsKTl7shnZGI",cFPWv: 'b',cITimeS: '1739788260',cTTimeMs: '1000',cMTimeMs: '120000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/search?q=receiver%20operating%20characteristic%20curve&__cf_chl_f_tk=pq41Nx9OZbtKHkvgLxDc5PgQo7cD5sdYbpHwNPJOrNs-1739788260-1.0.1.1-r94UwX_7mFNETQttiyt2eVJ9dg_wI9UvsKTl7shnZGI",md: "Q6zzFWZ.G4JUETV02ElYkSzTHRfVoM10xT9SL1YsqVM-1739788260-1.2.1.1-Bz9_XKLEIV9XGk6G28iyDtX.nyH64hTDR2RD9eZjop.KBjPr6HhKae6ZZlfFgbaA6mb8iulAK2132O34Un.SN2xpsNhRttH0k4nz.sK9m_1zIb7C4IUxyDngUgOX4yxkD81yAfqfweArOCFJxPk_5P7VV_L1jJJkPliderpnr8W0RX5HGg0VDe2Qc1bXyczceiRy.ALe79nKJpkW2dqYMs2VpNefR9yROZyJ3L6uKb0AOwT21c71iz153Ja9AAyhYPEpesQ5pZ3v0kyHg9THZJrhbl7xcOFi5Z0dBxLZ7bTWBVsrSB7GYV3uHcqPAlCty_vdq2rARWtKSmV1jfOQEXaQl3kYkff3Awpxy8MTiMxbdPXy1qRL.D1ARVZ_d5KNMErrJaSpLEqLX.L5v2B5d1f8P_OW6PP29jM_OqSSOjeMO6X2cj0iJ7PtTlZRyj2ui5Mhsrm6HNmzmirkhopseOyuSuEkAQPNPyoiBGuXaGnE5c2U9eyXuax0.XQbwG1KDdjSd4VzcF9OILoSSGwHH_NJhKsL9fFsFB2S4jZjjCQOzRm5LNqiT.QbRBYzwx_gu2Fb9NrYt53T8JhQAZfjAKYi4.pNP_lzmxkS3IvLH7cO1ltOOp_M8NOC0XSUso5fejMd2rpl.xVzMpgOIfapbyE5oDnWRnvlQS6IR7mbCPYKbSgS.Fk9qJ4v9ZmARahk_6KNpjOZyS6jg9zfO9OT9jonl.7fQh2OKy3Gng1pUvhi5oB0T4uWaoG_4NjIjSOyeKtdvpmv9cZUV_EZdpZyYsm.zchF8bNErqvtyfgNOYzEPp.EnpXEqhoftcI.d1ilEU6udjhzrVzpjHFZxImoy3m.JbHbtiX5q7Bkti2vCykiFuSgEmtHgH6dNQNNuI4ONf.9IOjph2GL6YSyNFECLnHJa5Q_dvqOr7FHDfRF5FEh7I9Ki6mitP4OEnn6gPwEIOOtpD6OaPYPiCitMpgXIoFqQ03Dqms4r1vKzBB6yJHcR5syC6c74zvAudVE95NfEYk13XZOFiRpxYi8HmgZHTvI3vW.ZgVSRNohtOIlcMfYc_pcV1EYjrWi9cYlzSntEUPrQkbefV7hesWgrTItYfY5WkJR4sPQBo96ftyCJXEa4RmgP1WOQYLRGze6WToF49nLCJokX2XUps3iwuvMEgzCKc.zJtvtGqjWJNnEU9gQ_hYwrWnZaBIee0giL260q0j5FuJ253l7myz4ecomSvHq6zMLDRz_p7hcHGNBHMqKUDDZLNedfigB6HCGXKGcQ5Qx4Csy6k1u1pDEqJlPGlpIX_.KwA09uPNU5H0SBF4hBjheD0eXU60ueVEbobSZC0f4A7eWv5dkxOWF6BZDgOqirE.ZcVm7JRb08zmSTectAIFl9ixEWYElh_CRnFe67dELK0G8tZigipxg5gNgSbx79DOvP2BS_ukA.regcN5iHSrYKKzb1Hpym9_Y2H46hBBi4M9H8eZhWSrkLr92MU.enVTFlgPd4OEC3NiiBtfd6LdX9.UidAKdobxtCopsGet2aDat9yofNOhh4pglGT0TdoOi1laqjkkLOfmxlOT_.gB5qlvV9VaqMl8qfASs9SvAfpdKb6SSByPM5baWdtZv4VkMuNjdZi3CG9D9wiIK2.SWwZwDu475vtNXyxe3wjAzvWNTfQ4nvuMxGrQhJQVAPsW2W.DqpYC51g6lwp6MpV7LDOgZUSq7F4XhV4Whnat7xSRcTrA1_rwduFTm8FfqyxE2zA17BW_jjdrErth7NUjXYTBYHmZ4eIVTyrxcJZtOEI8Fk1C2OqXrmEUOEKooscSlUqwCc.GAnFR9wo0ktlp2tvKv_gOOyyesVHQ9_vcYq6DncJTdIpgxa_6UX6CVA0AGmPqeRCdllYgVYNkkZ6rM02eyiLjr8MNdg_9.Ci0CHE7U4OTnEd_IIe1Q.Fj48Q08LsH87qUh5nvRJuzQMe8kMnOxllHnz2zZoE3BgheOBH3JnD2r4CGUB2N4xdh0z6vIImwIvuE.8f6oimr2HdArJenu9.NjVKa3dL_P",mdrd: "L1R1xE0feDo16KDInulPHd3QGriWpOLBnwn822VgdSM-1739788260-1.2.1.1-CwUWf4EtQmxz2ST5wcTPbc9kDdQOQJppZg24dAVvgWP9lXg9dBEcFaC2kw6ihxri34PqjunSJzy.1HKs5eSndJYeVbvWJjVv.wyP2Bi3KlM5PCIR4DcPWTvlVZ2Z_S4y5OnCQCGh29lrC80vAmAl5oBx4RCy2es2OoMWUDaGbkzq_Rwq7OE0xvCDhZGnuuTB.lqR2GXS0CyjwC3rLBCHEiaOqwazo7r_fj5ii_z6Rq_tyad8ffpdpOpS8HJ5zkQlk9MmSE_3s8MEvrzQZ.RfWBQOX2s8b6q19awA8PnVln.MwDup.M8rLmWgs11r.IAl1.I.Mwt19SjKct669S9Jr5VEHcYTGS4jZSnJXAKawMoLgJtsOOYN.Y6aYsVB3xN9D91htS2L5srwC5XQ4XRLPOFESuA99qT07D7Hoj3_cBLVmGTR9mqSka206J0TQG9EvCyzuRlN55NFQXDERX0IbP2p7swVahQIN8Z4253lokVojjeb_wN18BZ19EOC8n9grdgDNRDV4NaTJwkZR57.oLuV4Zzg.RBzxhkdqztYVhJmqI5NphcbmO0eEKcOpju59vL6.h2HQnn06tx0Kx.HN_uf3JRqti8h_.p5y3tV8sJ4VSnwZ9heo318C17iWyrkHemW4RSK03d8fC2ktwG0OyLgL2dLD6EQMVnsQEBpJiutcPeag2EGi0NGyro0dUejxXCyAXtFKQ5yLhFLDOQz5D5O1JdIEH.z9O9.QWEeqmz1Lv9p8FBHutXYf0im6TkN3qrMIwoL2ZMQhfolE50B1LSjxzZETi9Hln5w.PCuY9CsTCC0pFHbP4eTAqREV7YxjyP.6M52YCdmjjd0PzPcOlkLWhIg9oz05Zs_jyA4R50xQNKZ375.4hGDmOZ5KpgmcSnfEGGw1oJzjfCJOU0uiMGDq.bG7XMiGxa6npiLJIWeU0scuW3ZC1L0OQ.3uYpPMmlh8X.vJLT4R18cznpuhaw7V8BYfwIchwATLK3wDUvz9HglzYfE_g0OJ8_WSWcM5Rh_tRF7fcFWm2K868L588CSOKPgZScUnlG_fj6wmct_pasgUPVrn67.fdZ5DSCHoYKz8S9.dkRzNIqSiJTJQqf0bC08HQwF0jk_FpO07icTquE62MJdoHTTOrE_u3An47m4i_PVQ7OAqNWm3FXcCv9_f.Gb6fMgVGqtcKJteVDw0QwPpUL_d2xhRU23vo9HKCLYVDXuiQbADiP8oq_8xHwQInjmEGsPwhpzJkkXnj2ZEvml1tYGSL1GG6j2.Oh5NAAWZm5Gi4WrIs0l7KqZltIbWklZcquoeSxllOxolYsN2YAXOdz.S5QEjZvhiqB2JPOqF81DKhaCdkq0lXdrXi4AjDoHRhHABocLK3zM0OC.NOvPYPkFDGWfPZd690Yt6WUXgvs2La9QVWhtpS9_7kjOJLbnNVERQKXXmsRSvtoQD9vfpAg4bt30I5BkewZxaK1YW3T3ya2HJYOi2m1sMY8pYM5cY5m21.frlaPxBp2HqTHQVlOTqx74YYc_nx0CfkiqJpTnyTauLHbF.VPCogC9bmnO.s.Pv6bDZwQUHaZg3X8HQj60GE7KhGzGy35vwmuRjnnC3H50mNkA3J6GPt4IuUocF8vMugpS_D9IDQMsqSSdxtyCtrB7n0NjEFkbapMCGwnBN0z9FtD08taZvvL652Oz_f1J7BlZLiXRJ2yUqQZtDK.rhv50Zj0av6r90Bd9Y0fk4ya9fGf5wHiGeSyg0NHDU0_ilhqum2vvb5qN8EvrHObgUs_GYHxDQcp3MTHYAc.4qDeNFjz5pYDDxXvkNJU8gM3YAuzApr3d5aY_UaU10XLz3NAuKnGqCt5rN2_3lGcLtQVbp32clRAWHjtEexZVjGlxkmJbkF7FDaR5SU_npCkb0R3gZ1ucA8qecs_9XKAB0xD7ZsWhLEEtNcfp8pZyCYENbfMxzcwgq6XGH6WRWcimGvfGEy2zgxu4S4wpVaVndtlcRUTg6pg09Q"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=91351af55e764018';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/search?q=receiver%20operating%20characteristic%20curve&__cf_chl_rt_tk=pq41Nx9OZbtKHkvgLxDc5PgQo7cD5sdYbpHwNPJOrNs-1739788260-1.0.1.1-r94UwX_7mFNETQttiyt2eVJ9dg_wI9UvsKTl7shnZGI" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>