Overcoming the collinearity problem in regression by data compression techniques [i.e., principal component regression (PCR) and partial least-squares (PLS)] requires estimation of the number of factors (principal component) to use for the model. The most common approach is to use cross-validation for this purpose. Unfortunately, cross-validation is time consuming to carry out. Accordingly, we have searched for time-saving methods to estimate the number of factors. Two approaches were considered. The first uses the estimated standard error of the model and the second is an approximation to a cross-validation leave-one-out method. Both alternatives have been tested on spectroscopic data. It has been found that, when the number of wavelengths is limited, both methods give results similar to those obtained by full cross-validation both for PCR and PLS. However, when the number of wavelengths is large, the tested methods are reliable only for PCR and not for PLS.
机构:
Rensselaer Polytech Inst, Dept Biomed Engn, Troy, NY 12180 USA
Jiangnan Univ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Jiangsu, Peoples R ChinaRensselaer Polytech Inst, Dept Biomed Engn, Troy, NY 12180 USA
Fu, Yujia
Kruger, Uwe
论文数: 0引用数: 0
h-index: 0
机构:
Rensselaer Polytech Inst, Dept Biomed Engn, Troy, NY 12180 USARensselaer Polytech Inst, Dept Biomed Engn, Troy, NY 12180 USA
Kruger, Uwe
Li, Zhe
论文数: 0引用数: 0
h-index: 0
机构:
Yangzhou Univ, Sch Hydraul Energy & Power Engn, Yangzhou 225127, Jiangsu, Peoples R ChinaRensselaer Polytech Inst, Dept Biomed Engn, Troy, NY 12180 USA
Li, Zhe
Xie, Lei
论文数: 0引用数: 0
h-index: 0
机构:
Zhejiang Univ, State Key Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R ChinaRensselaer Polytech Inst, Dept Biomed Engn, Troy, NY 12180 USA
Xie, Lei
Thompson, Jillian
论文数: 0引用数: 0
h-index: 0
机构:
Queens Univ Belfast, Sch Chem & Chem Engn, Belfast BT9 5AG, Antrim, North IrelandRensselaer Polytech Inst, Dept Biomed Engn, Troy, NY 12180 USA
Thompson, Jillian
论文数: 引用数:
h-index:
机构:
Rooney, David
Hahn, Juergen
论文数: 0引用数: 0
h-index: 0
机构:
Rensselaer Polytech Inst, Dept Biomed Engn, Troy, NY 12180 USARensselaer Polytech Inst, Dept Biomed Engn, Troy, NY 12180 USA
Hahn, Juergen
Yang, Huizhong
论文数: 0引用数: 0
h-index: 0
机构:
Jiangnan Univ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Jiangsu, Peoples R ChinaRensselaer Polytech Inst, Dept Biomed Engn, Troy, NY 12180 USA
机构:
Hiroshima Univ, Dept Math, Grad Sch Sci, Higashihiroshima 7398526, JapanHiroshima Univ, Dept Math, Grad Sch Sci, Higashihiroshima 7398526, Japan
Yanagihara, Hirokazu
Yuan, Ke-Hai
论文数: 0引用数: 0
h-index: 0
机构:
Univ Notre Dame, Dept Psychol, Notre Dame, IN 46556 USAHiroshima Univ, Dept Math, Grad Sch Sci, Higashihiroshima 7398526, Japan
Yuan, Ke-Hai
Fujisawa, Hironori
论文数: 0引用数: 0
h-index: 0
机构:
Inst Stat Math, Dept Math Anal & Stat Inference, Tachikawa, Tokyo 1908562, JapanHiroshima Univ, Dept Math, Grad Sch Sci, Higashihiroshima 7398526, Japan
Fujisawa, Hironori
Hayashi, Kentaro
论文数: 0引用数: 0
h-index: 0
机构:
Univ Hawaii Manoa, Dept Psychol, Honolulu, HI 96822 USAHiroshima Univ, Dept Math, Grad Sch Sci, Higashihiroshima 7398526, Japan