多項式回帰 (Japanese Wikipedia)

Analysis of information sources in references of the Wikipedia article "多項式回帰" in Japanese language version.

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doi.org

  • Shaw, P (2006). “Intellectual ability and cortical development in children and adolescents”. Nature 440 (7084): 676–679. doi:10.1038/nature04513. PMID 16572172. 
  • Barker, PA; Street-Perrott, FA; Leng, MJ; Greenwood, PB; Swain, DL; Perrott, RA; Telford, RJ; Ficken, KJ (2001). “A 14,000-Year Oxygen Isotope Record from Diatom Silica in Two Alpine Lakes on Mt. Kenya”. Science 292 (5525): 2307–2310. doi:10.1126/science.1059612. PMID 11423656. 
  • Greenland, Sander (1995). “Dose-Response and Trend Analysis in Epidemiology: Alternatives to Categorical Analysis”. Epidemiology (Lippincott Williams & Wilkins) 6 (4): 356–365. doi:10.1097/00001648-199507000-00005. JSTOR 3702080. PMID 7548341. 
  • Gergonne, J. D. (November 1974). “The application of the method of least squares to the interpolation of sequences”. Historia Mathematica 1 (4): 439–447. doi:10.1016/0315-0860(74)90034-2. http://www.sciencedirect.com/science/article/B6WG9-4D7JMHH-20/2/df451ec5fbb7c044d0f4d900af80ec86. 
  • Stigler, Stephen M. (November 1974). “Gergonne's 1815 paper on the design and analysis of polynomial regression experiments”. Historia Mathematica 1 (4): 431–439. doi:10.1016/0315-0860(74)90033-0. http://www.sciencedirect.com/science/article/B6WG9-4D7JMHH-1Y/2/680c7ada0198761e9866197d53512ab4. 
  • Smith, Kirstine (1918). “On the Standard Deviations of Adjusted and Interpolated Values of an Observed Polynomial Function and its Constants and the Guidance They Give Towards a Proper Choice of the Distribution of the Observations”. Biometrika 12 (1/2): 1–85. doi:10.2307/2331929. JSTOR 2331929. 
  • Such "non-local" behavior is a property of analytic functions that are not constant (everywhere). Such "non-local" behavior has been widely discussed in statistics:
    • Magee, Lonnie (1998). “Nonlocal Behavior in Polynomial Regressions”. The American Statistician (American Statistical Association) 52 (1): 20–22. doi:10.2307/2685560. JSTOR 2685560. 

jstor.org

  • Greenland, Sander (1995). “Dose-Response and Trend Analysis in Epidemiology: Alternatives to Categorical Analysis”. Epidemiology (Lippincott Williams & Wilkins) 6 (4): 356–365. doi:10.1097/00001648-199507000-00005. JSTOR 3702080. PMID 7548341. 
  • Smith, Kirstine (1918). “On the Standard Deviations of Adjusted and Interpolated Values of an Observed Polynomial Function and its Constants and the Guidance They Give Towards a Proper Choice of the Distribution of the Observations”. Biometrika 12 (1/2): 1–85. doi:10.2307/2331929. JSTOR 2331929. 
  • Such "non-local" behavior is a property of analytic functions that are not constant (everywhere). Such "non-local" behavior has been widely discussed in statistics:
    • Magee, Lonnie (1998). “Nonlocal Behavior in Polynomial Regressions”. The American Statistician (American Statistical Association) 52 (1): 20–22. doi:10.2307/2685560. JSTOR 2685560. 

mit.edu

jmlr.csail.mit.edu

nih.gov

pubmed.ncbi.nlm.nih.gov

  • Shaw, P (2006). “Intellectual ability and cortical development in children and adolescents”. Nature 440 (7084): 676–679. doi:10.1038/nature04513. PMID 16572172. 
  • Barker, PA; Street-Perrott, FA; Leng, MJ; Greenwood, PB; Swain, DL; Perrott, RA; Telford, RJ; Ficken, KJ (2001). “A 14,000-Year Oxygen Isotope Record from Diatom Silica in Two Alpine Lakes on Mt. Kenya”. Science 292 (5525): 2307–2310. doi:10.1126/science.1059612. PMID 11423656. 
  • Greenland, Sander (1995). “Dose-Response and Trend Analysis in Epidemiology: Alternatives to Categorical Analysis”. Epidemiology (Lippincott Williams & Wilkins) 6 (4): 356–365. doi:10.1097/00001648-199507000-00005. JSTOR 3702080. PMID 7548341. 

richmond.edu

facultystaff.richmond.edu

sciencedirect.com

webdoe.cc

  • Smith, Kirstine (1918). “On the Standard Deviations of Adjusted and Interpolated Values of an Observed Polynomial Function and its Constants and the Guidance They Give Towards a Proper Choice of the Distribution of the Observations”. Biometrika 12 (1/2): 1–85. doi:10.2307/2331929. JSTOR 2331929.