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Estimating a Meaningful Point of Change

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  • Jens Klotsche
  • Andrew T. Gloster

Abstract

Longitudinal studies are increasingly common in psychological research. Characterized by repeated measurements, longitudinal designs aim to observe phenomena that change over time. One important question involves identification of the exact point in time when the observed phenomena begin to meaningfully change above and beyond baseline fluctuations. The authors introduce a nonparametric modeling framework to estimate the change-point of interest using derivatives of the underlying regression function for an outcome variable across time. The estimator of Huh and Carriere (HC) consistently performed acceptably when using a plug-in bandwidth in a Monte Carlo simulation study. It was shown that the estimator performed well with a minimum number of 15 design points. This procedure was applied to longitudinal data collected on performance anxiety. Results suggest that the HC estimator combined with plug-in bandwidth selection provides an efficient strategy for investigating a possible change-point at which an observed outcome variable starts changing across time.

Suggested Citation

  • Jens Klotsche & Andrew T. Gloster, 2012. "Estimating a Meaningful Point of Change," Journal of Educational and Behavioral Statistics, , vol. 37(5), pages 579-600, October.
    • Handle: RePEc:sae:jedbes:v:37:y:2012:i:5:p:579-600
    DOI: 10.3102/1076998611420439
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    References listed on IDEAS

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    1. Müller, Hans-Georg & Song, Kai-Sheng, 1997. "Two-stage change-point estimators in smooth regression models," Statistics & Probability Letters, Elsevier, vol. 34(4), pages 323-335, June.
    2. Oliver W Morgan & Clare Griffiths & Azeem Majeed, 2007. "Interrupted Time-Series Analysis of Regulations to Reduce Paracetamol (Acetaminophen) Poisoning," PLOS Medicine, Public Library of Science, vol. 4(4), pages 1-6, April.
    3. Huh, J. & Carrière, K. C., 2002. "Estimation of regression functions with a discontinuity in a derivative with local polynomial fits," Statistics & Probability Letters, Elsevier, vol. 56(3), pages 329-343, February.
    4. Javier Hidalgo, 1997. "Non‐Parametric Estimation With Strongly Dependent Multivariate Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 18(2), pages 95-122, March.
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