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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">zhps</journal-id><journal-title-group><journal-title xml:lang="ru">Журнал прикладной спектроскопии</journal-title><trans-title-group xml:lang="en"><trans-title>Zhurnal Prikladnoii Spektroskopii</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0514-7506</issn><publisher><publisher-name>B. I. Stepanov Institute of Physics of the National Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">zhps-331</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>***</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>***</subject></subj-group></article-categories><title-group><article-title>СРАВНИТЕЛЬНЫЙ АНАЛИЗ ПРИМЕНЕНИЯ МЕТОДОВ ГЛАВНЫХ КОМПОНЕНТ И ЧАСТНЫХ НАИМЕНЬШИХ КВАДРАТОВ В ЛАЗЕРНО-ИСКРОВОЙ ЭМИССИОННОЙ СПЕКТРОСКОПИИ</article-title><trans-title-group xml:lang="en"><trans-title>COMPARATIVE STUDY OF THE PLSR AND PCR METHODS IN LASER-INDUCED BREAKDOWN SPECTROSCOPIC ANALYSIS</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Singh</surname><given-names>M. .</given-names></name><name name-style="western" xml:lang="en"><surname>Singh</surname><given-names>M. .</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Sarkar</surname><given-names>A. .</given-names></name><name name-style="western" xml:lang="en"><surname>Sarkar</surname><given-names>A. .</given-names></name></name-alternatives><email xlink:type="simple">arnab@barc.gov.in; asarkar@ymail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Атомный исследовательский центр Бхабха; Национальный институт Хоми Бхабха</institution></aff><aff xml:lang="en"><institution>Bhabha Atomic Research Centre; India Homi Bhabha National Institute</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>10</day><month>03</month><year>2020</year></pub-date><volume>85</volume><issue>5</issue><elocation-id>852(1)-852(9)</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Singh M..., Sarkar A..., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Singh M..., Sarkar A...</copyright-holder><copyright-holder xml:lang="en">Singh M..., Sarkar A...</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://zhps.ejournal.by/jour/article/view/331">https://zhps.ejournal.by/jour/article/view/331</self-uri><abstract><p>Проведено сравнение результатов применения методов главных компонент (МГК) и частных наименьших квадратов (МЧНК) к одним и тем же образцам стали, содержащим множество химических элементов. Детально изучены коэффициенты МГК и МЧНК и соответствующие им спектры. Предложен ряд рекомендаций относительно выбора метода в зависимости от аналитических ситуаций. Установлены ситуации, когда методы МГК и МЧНК эквивалентны или один из них предпочтительнее для лазерно-искровой эмиссионной спектроскопии.</p></abstract><trans-abstract xml:lang="en"><p>Principal components regression (PCR) and partial least squares regression (PLSR) are the two most powerful and widely used chemometric regression methods applied in laser-induced breakdown spectroscopy (LIBS) studies. In this work, we compared the analytical merits (accuracy and precision) of applying the PCR and PLRS algorithms to identical LIBS data sets. A set of stainless steel samples with multielemental concentration data was studied for this work. A detailed study of the PCR and PLSR coefficients and the corresponding spectra used to generate them was carried out to understand the role of the two algorithms in the evolution of the regression coefficient signal data. Based on this understanding, a few guidelines were proposed in this work for selecting PCR or PLSR depending on the analytical situation. This work identifies the situations wherein the PCR and PLSR application results are analytically equivalent and where one approach is superior over the other for LIBS data analysis.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>лазерно-искровая эмиссионная спектроскопия</kwd><kwd>метод частных наименьших квадратов</kwd><kwd>метод главных компонент</kwd><kwd>laser induced breakdown spectroscopy</kwd><kwd>partial least squares regression</kwd><kwd>principal components regression</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">S. Wold, Chemom. Intell. Lab. Syst., 30, No. 1, 109-115 (1995). 852-9</mixed-citation><mixed-citation xml:lang="en">S. Wold, Chemom. Intell. Lab. Syst., 30, No. 1, 109-115 (1995). 852-9</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">J. L. Gottfried, D. A. Cremers, L. J. Radziemski, in: Handbook of Laser-Induced Breakdown Spectroscopy, John Wiley &amp; Sons Ltd., 223-255 (2013).</mixed-citation><mixed-citation xml:lang="en">J. L. Gottfried, D. A. Cremers, L. J. Radziemski, in: Handbook of Laser-Induced Breakdown Spectroscopy, John Wiley &amp; Sons Ltd., 223-255 (2013).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">D. A. Cremers, L. J. Radziemski, in: Handbook of Laser-Induced Breakdown Spectroscopy, John Wiley &amp; Sons Ltd., 23-52 (2006).</mixed-citation><mixed-citation xml:lang="en">D. A. Cremers, L. J. Radziemski, in: Handbook of Laser-Induced Breakdown Spectroscopy, John Wiley &amp; Sons Ltd., 23-52 (2006).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">F. Breech, L. Cross, Appl. Spectrosc., 16, No. 9, 1 (1962).</mixed-citation><mixed-citation xml:lang="en">F. Breech, L. Cross, Appl. Spectrosc., 16, No. 9, 1 (1962).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">R. Wisbrun, I. Schechter, R. Niessner, H. Schroeder, K. L. Kompa, Anal. Chem., 66, No. 18, 2964-2975 (1994).</mixed-citation><mixed-citation xml:lang="en">R. Wisbrun, I. Schechter, R. Niessner, H. Schroeder, K. L. Kompa, Anal. Chem., 66, No. 18, 2964-2975 (1994).</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">S. D. Brown, Anal. Chem., 62, No. 12, 84R-101R (1990).</mixed-citation><mixed-citation xml:lang="en">S. D. Brown, Anal. Chem., 62, No. 12, 84R-101R (1990).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">F. R. Doucet, T. F. Belliveau, J. L. Fortier, J. Hubert, Appl. Spectrosc., 61, No. 3, 327-332 (2007).</mixed-citation><mixed-citation xml:lang="en">F. R. Doucet, T. F. Belliveau, J. L. Fortier, J. Hubert, Appl. Spectrosc., 61, No. 3, 327-332 (2007).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">M. Dong, J. Lu, S. Yao, J. Li, J. Li, Z. Zhong, W. Lu, J. Anal. At. Spectrom., 26, No. 11, 2183-2188 (2011).</mixed-citation><mixed-citation xml:lang="en">M. Dong, J. Lu, S. Yao, J. Li, J. Li, Z. Zhong, W. Lu, J. Anal. At. Spectrom., 26, No. 11, 2183-2188 (2011).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">T. A. Labutin, S. M. Zaytsev, A. M. Popov, N. B. Zorov, Opt. Express, 22, No. 19, 22382-22387 (2014).</mixed-citation><mixed-citation xml:lang="en">T. A. Labutin, S. M. Zaytsev, A. M. Popov, N. B. Zorov, Opt. Express, 22, No. 19, 22382-22387 (2014).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">S. M. Zaytsev, A. M. Popov, E. V. Chernykh, R. D. Voronina, N. B. Zorov, T. A. Labutin, J. Anal. At. Spectrom., 29, No. 8, 1417-1424 (2014).</mixed-citation><mixed-citation xml:lang="en">S. M. Zaytsev, A. M. Popov, E. V. Chernykh, R. D. Voronina, N. B. Zorov, T. A. Labutin, J. Anal. At. Spectrom., 29, No. 8, 1417-1424 (2014).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">D. L. Death, A. P. Cunningham, L. J. Pollard, Spectrochim. Acta B: At. Spectrosc., 63, No. 7, 763-769 (2008).</mixed-citation><mixed-citation xml:lang="en">D. L. Death, A. P. Cunningham, L. J. Pollard, Spectrochim. Acta B: At. Spectrosc., 63, No. 7, 763-769 (2008).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">J. M. Andrade, G. Cristoforetti, S. Legnaioli, G. Lorenzetti, V. Palleschi, A. A. Shaltout, Spectrochim. Acta B: At. Spectrosc., 65, No. 8, 658-663 (2010).</mixed-citation><mixed-citation xml:lang="en">J. M. Andrade, G. Cristoforetti, S. Legnaioli, G. Lorenzetti, V. Palleschi, A. A. Shaltout, Spectrochim. Acta B: At. Spectrosc., 65, No. 8, 658-663 (2010).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">G. C. Y. Chan, X. Mao, I. Choi, A. Sarkar, O. P. Lam, D. K. Shuh, R. E. Russo, Spectrochim. Acta B: At. Spectrosc., 89, 40-49 (2013).</mixed-citation><mixed-citation xml:lang="en">G. C. Y. Chan, X. Mao, I. Choi, A. Sarkar, O. P. Lam, D. K. Shuh, R. E. Russo, Spectrochim. Acta B: At. Spectrosc., 89, 40-49 (2013).</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">S. M. Clegg, E. Sklute, M. D. Dyar, J. E. Barefield, R. C. Wiens, Spectrochim. Acta B: At. Spectrosc., 64, No. 1, 79-88 (2009).</mixed-citation><mixed-citation xml:lang="en">S. M. Clegg, E. Sklute, M. D. Dyar, J. E. Barefield, R. C. Wiens, Spectrochim. Acta B: At. Spectrosc., 64, No. 1, 79-88 (2009).</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">A. Sarkar, V. Karki, S. K. Aggarwal, G. S. Maurya, R. Kumar, A. K. Rai, X. Mao, R. E. Russo, Spectrochim. Acta B: At. Spectrosc., 108, 8-14 (2015).</mixed-citation><mixed-citation xml:lang="en">A. Sarkar, V. Karki, S. K. Aggarwal, G. S. Maurya, R. Kumar, A. K. Rai, X. Mao, R. E. Russo, Spectrochim. Acta B: At. Spectrosc., 108, 8-14 (2015).</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">A. Sarkar, X. Mao, G. C. Y. Chan, R. E. Russo, Spectrochim. Acta B: At. Spectrosc., 88, 46-53 (2013).</mixed-citation><mixed-citation xml:lang="en">A. Sarkar, X. Mao, G. C. Y. Chan, R. E. Russo, Spectrochim. Acta B: At. Spectrosc., 88, 46-53 (2013).</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">M. Singh, V. Karki, R. K. Mishra, A. Kumar, C. P. Kaushik, X. Mao, R. E. Russo, A. Sarkar, J. Anal. At. Spectrome., 30, No. 12, 2507-2515 (2015).</mixed-citation><mixed-citation xml:lang="en">M. Singh, V. Karki, R. K. Mishra, A. Kumar, C. P. Kaushik, X. Mao, R. E. Russo, A. Sarkar, J. Anal. At. Spectrome., 30, No. 12, 2507-2515 (2015).</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">M. M. Tripathi, K. E. Eseller, F. Y. Yueh, J. P. Singh, Spectrochim. Acta B: At. Spectrosc., 64, No. 11-12, 1212-1218 (2009).</mixed-citation><mixed-citation xml:lang="en">M. M. Tripathi, K. E. Eseller, F. Y. Yueh, J. P. Singh, Spectrochim. Acta B: At. Spectrosc., 64, No. 11-12, 1212-1218 (2009).</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">M. Boueri, V. Motto-Ros, W. Q. Lei, Q. L. Ma, L. J. Zheng, H. P. Zeng, J. Yu, Appl. Spectrosc., 65, No. 3, 307-314 (2011).</mixed-citation><mixed-citation xml:lang="en">M. Boueri, V. Motto-Ros, W. Q. Lei, Q. L. Ma, L. J. Zheng, H. P. Zeng, J. Yu, Appl. Spectrosc., 65, No. 3, 307-314 (2011).</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">J. El Haddad, M. Villot-Kadri, A. Ismaël, G. Gallou, K. Michel, D. Bruyère, V. Laperche, L. Canioni, B. Bousquet, Spectrochim. Acta B: At. Spectrosc., 79-80, 51-57 (2013).</mixed-citation><mixed-citation xml:lang="en">J. El Haddad, M. Villot-Kadri, A. Ismaël, G. Gallou, K. Michel, D. Bruyère, V. Laperche, L. Canioni, B. Bousquet, Spectrochim. Acta B: At. Spectrosc., 79-80, 51-57 (2013).</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">E. C. Ferreira, D. M. B. P. Milori, E. J. Ferreira, R. M. Da Silva, L. Martin-Neto, Spectrochim. Acta B: At. Spectrosc., 63, No. 10, 1216-1220 (2008).</mixed-citation><mixed-citation xml:lang="en">E. C. Ferreira, D. M. B. P. Milori, E. J. Ferreira, R. M. Da Silva, L. Martin-Neto, Spectrochim. Acta B: At. Spectrosc., 63, No. 10, 1216-1220 (2008).</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">A. Koujelev, M. Sabsabi, V. Motto-Ros, S. Laville, S. L. Lui, Planet. Space Sci., 58, No. 4, 682-690 (2010).</mixed-citation><mixed-citation xml:lang="en">A. Koujelev, M. Sabsabi, V. Motto-Ros, S. Laville, S. L. Lui, Planet. Space Sci., 58, No. 4, 682-690 (2010).</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">R. J. Lasheras, C. Bello-Gálvez, J. Anzano, Polym. Test., 29, No. 8, 1057-1064 (2010).</mixed-citation><mixed-citation xml:lang="en">R. J. Lasheras, C. Bello-Gálvez, J. Anzano, Polym. Test., 29, No. 8, 1057-1064 (2010).</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">A. Sarkar, S. K. Aggarwal, D. Alamelu, Anal. Methods, 2, No. 1, 32-36 (2010).</mixed-citation><mixed-citation xml:lang="en">A. Sarkar, S. K. Aggarwal, D. Alamelu, Anal. Methods, 2, No. 1, 32-36 (2010).</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">R. Hernández-García, M. E. Villanueva-Tagle, F. Calderón-Piñar, M. D. Durruthy-Rodríguez, F. W. B. Aquino, E. R. Pereira-Filho, M. S. Pomares-Alfonso, Microchem. J., 130, 21-26 (2017).</mixed-citation><mixed-citation xml:lang="en">R. Hernández-García, M. E. Villanueva-Tagle, F. Calderón-Piñar, M. D. Durruthy-Rodríguez, F. W. B. Aquino, E. R. Pereira-Filho, M. S. Pomares-Alfonso, Microchem. J., 130, 21-26 (2017).</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">J. Cisewski, E. Snyder, J. Hannig, L. Oudejans, J. Chemom., 26, No. 5, 143-149 (2012).</mixed-citation><mixed-citation xml:lang="en">J. Cisewski, E. Snyder, J. Hannig, L. Oudejans, J. Chemom., 26, No. 5, 143-149 (2012).</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">L. Sheng, T. Zhang, G. Niu, K. Wang, H. Tang, Y. Duan, H. Li, J. Anal. At. Spectrom., 30, No. 2, 453-458 (2015).</mixed-citation><mixed-citation xml:lang="en">L. Sheng, T. Zhang, G. Niu, K. Wang, H. Tang, Y. Duan, H. Li, J. Anal. At. Spectrom., 30, No. 2, 453-458 (2015).</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">P. Yaroshchyk, D. L. Death, S. J. Spencer, J. Anal. At. Spectrom., 27, No. 1, 92-98 (2012).</mixed-citation><mixed-citation xml:lang="en">P. Yaroshchyk, D. L. Death, S. J. Spencer, J. Anal. At. Spectrom., 27, No. 1, 92-98 (2012).</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">J. J. Gerbrands, Pattern Recogn., 14, No. 1-6, 375-381 (1981).</mixed-citation><mixed-citation xml:lang="en">J. J. Gerbrands, Pattern Recogn., 14, No. 1-6, 375-381 (1981).</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">P. Geladi, B. R. Kowalski, Anal. Chim. Acta, 185, 1-17 (1986).</mixed-citation><mixed-citation xml:lang="en">P. Geladi, B. R. Kowalski, Anal. Chim. Acta, 185, 1-17 (1986).</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">S. de Jong, Chemom. Intell. Lab. Syst., 18, No. 3, 251-263 (1993).</mixed-citation><mixed-citation xml:lang="en">S. de Jong, Chemom. Intell. Lab. Syst., 18, No. 3, 251-263 (1993).</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
