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A Vector Approach to Regression Analysis and Its Application to Heavy-Duty Diesel Emissions
Technical Paper
2000-01-1961
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
An alternative approach is presented for the regression of response data on predictor variables that are not logically or physically separable. The methodology is demonstrated by its application to a data set of heavy-duty diesel emissions. Because of the covariance of fuel properties, it is found advantageous to redefine the predictor variables as vectors, in which the original fuel properties are components, rather than as scalars each involving only a single fuel property. The fuel property vectors are defined in such a way that they are mathematically independent and statistically uncorrelated. The available data set is not considered adequate for the development of a full-fledged emission model. Nevertheless, the data clearly show that only a few basic patterns of fuel-property variation affect emissions and that the number of these patterns is considerably less than the number of variables initially thought to be involved.
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Citation
McAdams, H., Crawford, R., and Hadder, G., "A Vector Approach to Regression Analysis and Its Application to Heavy-Duty Diesel Emissions," SAE Technical Paper 2000-01-1961, 2000, https://doi.org/10.4271/2000-01-1961.Also In
References
- Lee, R. Pedley J. Hobbs C. “Fuel Quality Impact on Heavy Duty Diesel Emissions - A Literature Review,” SAE 982649
- U.S. Department of Energy Estimating the Costs and Effects of Reformulated Gasoline December 1994
- Krzanowski, W.J. Marriott F.H.C. Multivariate Analysis Kendall's Library of Statistics. Halstead Press 1994
- Jackson, J.E. A User's Guide to Principal Components John Wiley & Sons 1991
- Martens, H. Naes T. Multivariate Calibration John Wiley & Sons 1989
- Fisher, R. A. The Design of Experiments Edinburgh Oliver and Boyd 1935
- Thurstone, L. L. The Vectors of Mind Chicago U. of Chicago Press 1935
- Westerholm, R. Li H. A Multivariate Statistical Analysis of Fuel-Related Polycyclic Aromatic Hydrocarbon Emissions from Heavy-Duty Diesel Vehicles Environ. Sci. Technol 28 965 972 1994
- Hawkins, D. On the Investigation of Alternative Regressions by Principal Component Analysis Applied Statistics 22 275 286 1973
- Boneh, S. Mendieta G.R. Variable Selection in Regression Models Using Principal Components Communications in Statistics - Theory and Methods 23 197 213 1994
- Mansfield, E.R. Webster J.T. Gunst R.F. An Analytical Variable Selection Technique for Principal Component Regression Applied Statistics 26 34 40 1977
- Jolliffe, I.T. Discarding Variables in a Principal Component Analysis. I: Artificial Data Applied Statistics 21 160 173 1972
- Jolliffe, I.T. Discarding Variables in a Principal Component Analysis. II: Real Data Applied Statistics 22 21 31 1973
- Hadi, A.S. Ling, R.F. Some Cautionary Notes on the Use of Principal Components Regression The American Statistician 52 1 February 1998
- Jeffers, J.N. Two Case Studies in the Application of Principal Component Analysis Applied Statistics 16 225 236 1967
- McAdams, H.T. Crawford R.W. Hadder G.R. A Vector Approach to Regression Analysis and Its Application to Heavy-Duty Diesel Emissions Oak Ridge National Laboratory Oak Ridge 2000
- EPA HDEWG Program: Phase II Meeting of the Mobile Sources Technical Review Subcommittee Clean Air Act Advisory Committee Washington, D.C. January 13 1999
- Ullman, T.L. “Investigation of the Effects of Composition and Injection and Combustion System Type on Heavy-Duty Diesel Exhaust Emissions,” SAE 892072
- Ullman, T.L. Mason R.L. Montalvo D.A. “Effects of Aromatics, Cetane Number, and Cetane Improver on Emissions from a 1991 Prototype Heavy Duty Diesel Engine,” SAE 902171
- Sienicki, E.J. Jass R.E. Slodowske W.J. “Diesel Fuel Aromatic and Cetane Number Effects on Combustion and Emissions from a Prototype 1991 Diesel Engine,” SAE 902172
- McCarthy, C.I. Slodowske W.J. Sienicki E.J. Jass R.E. “Diesel Fuel Property Effects on Exhaust Emissions from a Heavy Duty Diesel Engine that Meets 1994 Emissions Requirements,” SAE 922267
- Gonzalez D, M.A. Rodriguez B. G.R. Galiasso R. Rodriguez E. “A Low Emission Diesel Fuel: Hydrocracking Production, Characterization, and Engine Evaluations,” SAE 932731
- Ullman, T.L. Spreen K.B. Mason R.L. “Effects of Cetane Number, Cetane Improver, Aromatics, and Oxygenates on 1994 Heavy Duty Engine Emissions,” SAE 941020
- Spreen, K.B. Ullman T.L. Mason R.L. “Effects of Cetane Number, Aromatics and Oxygenates on Emissions from a 1994 Heavy Duty Diesel Engine with Exhaust Catalyst,” SAE 950250
- Ullman, T.L. Spreen K.B. Mason R.L. “Effects of Cetane Number on Emissions from a Prototype 1998 Heavy Duty Diesel Engine,” SAE 950251
- Schaberg, P.W. Myburgh I.S. Botha J.J. Roets P.N. Viljoen C.L. Dancuart L.P. Starr M.E. “Diesel Exhaust Emissions Using Sasol Slurry Phase Distillate Process Fuel,” SAE 972898
- Cunningham, L.J. Henly T.J. Kulinowski A.M. “The Effects of Diesel Ignition Improvers in Low-Sulfur Fuels on Heavy-Duty Diesel Emissions,” SAE 902173
- Lange, W.W. “The Effect of Fuel Properties on Particulates Emissions in Heavy-Duty Truck Engines Under Transient Operating Conditions,” SAE 912425
- Liotta F.J. Jr., Montalvo D.M. “The Effect of Oxygenated Fuels on Emissions from a Modern Heavy Duty Diesel Engine,” SAE 932734
- Liotta F.J. Jr., “A Peroxide Based Cetane Improvement Additive with Favorable Fuel Blending Properties,” SAE 932767
- Rosenthal, M.L. Bendinsky T. “The Effects of Fuel Properties and Chemistry on Emissions and Heat Release of Low Emission Heavy Duty Diesel Engines,” SAE 932800
- Reynolds, E.G. “The Effect of Fuel Processes on Heavy Duty Automotive Diesel Engine Emissions,” SAE 932350
- Schmidt, K. Van Gerpen J. “The Effect of Biodiesel Fuel Composition on Diesel Combustion and Emissions,” SAE 961086
- Geiman R.A. Cullen P.B. Chant P.R. Carlson P.N. Rao V. “Emission Effects of Shell Low NO x Fuel on a 1990 Model Year Heavy Duty Diesel Engine,” SAE 961973
- Tanaka, S. Morinaga M. Yoshida H. Takizawa H. Sanse K. Ikebe H. “Effects of Fuel Properties on Exhaust Emissions from DI Diesel Engines,” SAE 962114
- Daniels, T.L. McCormick R.L. Graboski M.S. Carlson P.N. Rao V. Rice G.W. “The Effect of Diesel Sulfur Content and Oxidation Catalysts on Transient Emissions at High Altitude from a 1995 Detroit Diesel Series 50 Urban Bus Engine,” SAE 961974
- Tamanouchi M. Morihisa H. Yamada S. Iida J. Sasaki T. Sue H. “Effects of Fuel Properties on Exhaust Emissions for Diesel Engines with and without Oxidation Catalyst and High Pressure Injection,” SAE 970758
- Lange, W.W. Cooke J.A. Gadd P. Zurner H.J. Schogel H. Richter K. “Influence of Fuel Properties on Exhaust Emissions from Advanced Heavy-duty Engines Considering the Effect of Natural and Additive Enhanced Cetane Number,” SAE 972894
- Starr, M.E. “Influence on Transient Emissions at Various Injection Timings, using Cetane Improvers, Bio-diesel and Low Aromatics Fuels,” SAE 972904
- Nylund, N-O Aakko P. Mikkonen S. Niemi A. “Effects of Physical and Chemical Properties of Diesel Fuel on NO x Emissions of Heavy Duty Diesel Engines,” SAE 972997
- Akasaka, Y. Suzuki T. Sakurai Y. “Exhaust Emissions of a DI Diesel Engine Fueled with Blends of Biodiesel and Low Sulfur Fuel,” SAE 972998
- Mann, N. Kvinge F. Wilson G. “Diesel Fuel Effects on Emissions: Towards a Better Understanding,” SAE 982486
- Nakakita, K. Takasu S. Ban H. Ogawa T. Naruse H. Tsukasaki Y. Yeh L. “Effect of Hydrocarbon Molecular Structure on Diesel Exhaust Emissions Part 1: Comparison of Combustion and Exhaust Emission Characteristics Among Representative Diesel Fuels,” SAE 982494
- MatLab, The MathWorks, Inc. 24 Prime Park Way, Natick, MA 01760-1500 http://www.mathworks.com
- Thomas J. Chem. Soc. 573 579 1946
- Ethyl Corporation HITEC Performance Chemicals A Distillate Fuel Response to “Diesel Ignition Improver. ”
- Fisher, R. A. Yates F. Statistical Tables for Biological, Agricultural, and Medical Research 3rd Edinburgh Oliver and Boyd, Ltd. 1948
- Wold, S. Cross-Validatory Estimation of the Number of Components in Factor and Principal Component Models Technometrics 20 4 November 1978
- Efron, B. Tibshirani R.J. An Introduction to the Bootstrap Monographs on Statistics and Applied Probability 57 Chapman & Hall/CRC 1998
- McAdams, H.T. A Factor Analytic Approach to the Identification of Manufacturing Systems Proceedings of CIRP Seminars on Manufacturing Systems I 2 79 97 1972
- McAdams, H.T. A Random Balance Procedure for Simplifying a Complex Model American Statistical Association 1995 Proceedings of the Section on Statistics and the Environment Alexandria, VA 1995