IDEAS home Printed from https://ideas.repec.org/a/bes/jnlasa/v96y2001mdecemberp1333-1347.html
   My bibliography  Save this article

Structural Tests in Additive Regression

Author

Listed:
  • Hardle W.
  • Sperlich S.
  • Spokoiny V.

Abstract

We consider the component analysis problem for a regression model with an additive structure. The problem is to test if some of the additive components is of polynomial structure, e.g. linear, without specifying the structure of the remaining components. A particular case is the problem of selecting the significant covariates. The presented method is based on the wavelet transform using the Haar basis, which allows for applications under mild conditions on the design and smoothness of the regression function. The results demonstrate that each component of the model can be tested with the rate corresponding to the case if all the remaining components were known. The proposed procedure is also computationally straightforward. Simulation results and a real data example about female labor supply demonstrate the good performance of the test.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Hardle W. & Sperlich S. & Spokoiny V., 2001. "Structural Tests in Additive Regression," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1333-1347, December.
    • Handle: RePEc:bes:jnlasa:v:96:y:2001:m:december:p:1333-1347
    as

    Download full text from publisher

    File URL: http://www.ingentaconnect.com/content/asa/jasa/2001/00000096/00000456/art00016
    File Function: full text
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Richard Blundell & Alan Duncan & Costas Meghir, 1998. "Estimating Labor Supply Responses Using Tax Reforms," Econometrica, Econometric Society, vol. 66(4), pages 827-862, July.
    2. Horowitz, Joel L. & Spokoiny, Vladimir G., 1999. "An adaptive, rate-optimal test of a parametric model against a nonparametric alternative," SFB 373 Discussion Papers 1999,10, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    3. Spokoiny, Vladimir G., 1999. "Variance estimation for high-dimensional regression models," SFB 373 Discussion Papers 1999,86, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    4. Horowitz, Joel L. & Spokoiny, Vladimir G., 1999. "An Adaptive, Rate-Optimal Test of a Parametric Model Against a Nonparametric Alternative," Working Papers 99-02, University of Iowa, Department of Economics.
    5. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, September.
    6. Bierens, Herman J., 1982. "Consistent model specification tests," Journal of Econometrics, Elsevier, vol. 20(1), pages 105-134, October.
    7. Mroz, Thomas A, 1987. "The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions," Econometrica, Econometric Society, vol. 55(4), pages 765-799, July.
    8. Härdle, Wolfgang & Sperlich, Stefan & Spokoiny, Vladimir G., 1997. "Component analysis for additive models," SFB 373 Discussion Papers 1997,52, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Manuel Wiesenfarth & Tatyana Krivobokova & Stephan Klasen & Stefan Sperlich, 2012. "Direct Simultaneous Inference in Additive Models and Its Application to Model Undernutrition," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 107(500), pages 1286-1296, December.
    2. Jing Wang & Lijian Yang, 2009. "Efficient and fast spline-backfitted kernel smoothing of additive models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 61(3), pages 663-690, September.
    3. Felix Abramovich & Italia Feis & Theofanis Sapatinas, 2009. "Optimal testing for additivity in multiple nonparametric regression," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 61(3), pages 691-714, September.
    4. Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, volume 1, number 8355.
    5. Donkers, Bas & Schafgans, Marcia M. A., 2005. "A method of moments estimator for semiparametric index models," LSE Research Online Documents on Economics 6815, London School of Economics and Political Science, LSE Library.
    6. Yousefi, Shahriar & Weinreich, Ilona & Reinarz, Dominik, 2005. "Wavelet-based prediction of oil prices," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 265-275.
    7. Rui Li & Yuanyuan Zhang, 2021. "Two-stage estimation and simultaneous confidence band in partially nonlinear additive model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(8), pages 1109-1140, November.
    8. Stefan Sperlich, 2013. "Comments on: An updated review of Goodness-of-Fit tests for regression models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 419-427, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Whang, Yoon-Jae, 2000. "Consistent bootstrap tests of parametric regression functions," Journal of Econometrics, Elsevier, vol. 98(1), pages 27-46, September.
    2. Philip Trostel & Ian Walker, 2006. "Education and Work," Education Economics, Taylor & Francis Journals, vol. 14(4), pages 377-399.
    3. Tamm Marcus, 2010. "Child Benefit Reform and Labor Market Participation," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 230(3), pages 313-327, June.
    4. Bloemen, H.G. & Kapteyn, A.J., 1993. "The estimation of utility consistent labor supply models by means of simulated scores," Other publications TiSEM d6bdd830-0b82-4200-97a4-7, Tilburg University, School of Economics and Management.
    5. Olivier Bargain & Kristian Orsini & Andreas Peichl, 2014. "Comparing Labor Supply Elasticities in Europe and the United States: New Results," Journal of Human Resources, University of Wisconsin Press, vol. 49(3), pages 723-838.
    6. Gozalo, Pedro L. & Linton, Oliver B., 2001. "Testing additivity in generalized nonparametric regression models with estimated parameters," Journal of Econometrics, Elsevier, vol. 104(1), pages 1-48, August.
    7. Horowitz, Joel L. & Spokoiny, Vladimir G., 1999. "An adaptive, rate-optimal test of a parametric model against a nonparametric alternative," SFB 373 Discussion Papers 1999,10, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    8. Rolf Aaberge & Ugo Colombino, 2014. "Labour Supply Models," Contributions to Economic Analysis, in: Handbook of Microsimulation Modelling, volume 127, pages 167-221, Emerald Group Publishing Limited.
    9. Volker Grossmann, 2003. "A Note on Redistributive Taxation, Labor Supply, and National Income," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 2(1), pages 39-48, April.
    10. Lusi Liao & Sasiwimon Warunsiri Paweenawat, 2021. "The inversion of married women's labour supply and wage: Evidence from Thailand," Asian-Pacific Economic Literature, The Crawford School, The Australian National University, vol. 35(1), pages 82-98, May.
    11. Ignacio N. Lobato, 2000. "A Consistent Test for the Martingale Difference Assumption," Econometric Society World Congress 2000 Contributed Papers 0278, Econometric Society.
    12. Mette Lunde Christensen, 2002. "Heterogeneity in consumer demands and the income effect: evidence from panel data," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 C4-1, International Conferences on Panel Data.
    13. Francine D. Blau & Lawrence M. Kahn, 2007. "Changes in the Labor Supply Behavior of Married Women: 1980–2000," Journal of Labor Economics, University of Chicago Press, vol. 25(3), pages 393-438.
    14. Hélène Couprie & Gaëlle Ferrant, 2015. "Welfare Comparisons, Economies of Scale and Equivalence Scale in Time Use," Annals of Economics and Statistics, GENES, issue 117-118, pages 185-210.
    15. Wagenhals Gerhard, 2000. "Arbeitsangebotseffekte des Steuer- und Transfersystems in der Bundesrepublik Deutschland / Labour Supply Effects of the Tax and Benefit System in the Federal Republic of Germany," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 220(2), pages 191-213, April.
    16. Michiel Evers & Ruud A. De Mooij & Daniel J. Van Vuuren, 2005. "What Explains the Variation in Estimates of Labour Supply Elasticities?," CESifo Working Paper Series 1633, CESifo.
    17. Olivier Bargain & Andreas Peichl, 2013. "Steady-State Labor Supply Elasticities: An International Comparison," AMSE Working Papers 1322, Aix-Marseille School of Economics, France.
    18. Olivier Bargain & Kristian Orsini & Andreas Peichl, 2012. "Comparing Labor Supply Elasticities in Europe and the US: New Results," Working Papers halshs-00805736, HAL.
    19. Hans G. Bloemen & Arie Kapteyn, 2008. "The estimation of utility-consistent labor supply models by means of simulated scores," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(4), pages 395-422.
    20. Barua, Rashmi, 2014. "Intertemporal substitution in maternal labor supply: Evidence using state school entrance age laws," Labour Economics, Elsevier, vol. 31(C), pages 129-140.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bes:jnlasa:v:96:y:2001:m:december:p:1333-1347. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Christopher F. Baum (email available below). General contact details of provider: http://www.amstat.org/publications/jasa/index.cfm?fuseaction=main .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.