Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Self-modelling with random shift and scale parameters and a free-knot spline shape function

M J Lindstrom1

  • 1Department of Biostatistics, University of Wisconsin, Madison 53792, USA.

Statistics in Medicine
|September 30, 1995
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Adjustment for body mass index and calcitrophic hormone levels improves the diagnostic accuracy of the spot urine calcium-to-creatinine ratio.

Osteoporosis international : a journal established as result of cooperation between the European Foundation for Osteoporosis and the National Osteoporosis Foundation of the USA·2009
Same author

Impact of intra-arterial injection parameters on arterial, capillary, and venous time-concentration curves in a canine model.

AJNR. American journal of neuroradiology·2009
Same author

Use of combination therapy with cisplatin and calcitriol in the treatment of Y-79 human retinoblastoma xenograft model.

The British journal of ophthalmology·2009
Same author

Herbicide sorption coefficients in relation to soil properties and terrain attributes on a cultivated prairie.

Journal of environmental quality·2008
Same author

Kinematic event patterns in speech: special problems.

Language and speech·2001
Same author

Radiobiological studies using synchrotron-produced ultrasoft X-rays.

Journal of radiation research·2000
Same journal

Interpretable Bayesian Modeling for Multireader Multicase Studies: Addressing Overdispersion and Limited Sample Size in Diagnostic Enhancement Evaluation.

Statistics in medicine·2026
Same journal

Adaptive Sequential Multiple Hypotheses Testing for Concomitant Vaccine Safety Surveillance.

Statistics in medicine·2026
Same journal

Novel Distance Regression for Repeated Outcomes With Missing Data: Applications to Longitudinal and Crossover Studies of Microbiome Beta-Diversity.

Statistics in medicine·2026
Same journal

Optimal Weighted Tests for Replication Studies and the 'Two-Trials Rule' With Multiple Hypotheses.

Statistics in medicine·2026
Same journal

Identifiable Copula-Double-Cox Models: A Fully Parametric Framework for Dependent Right-Censored Survival Data.

Statistics in medicine·2026
Same journal

Moving From Individualized Risk-Based Prevention to Benefit-Based Prevention: Estimating Individualized Life-Years Gained From Prevention Services as a Basis for Eligibility.

Statistics in medicine·2026
See all related articles

This study introduces a flexible shape invariant model using free-knot splines for clustered data. It improves parameter estimation and graphical diagnostics for functional relationships.

Area of Science:

  • Statistics
  • Biostatistics
  • Data Analysis

Background:

  • Clustered data analysis requires estimating functional relationships across individuals.
  • The shape invariant model estimates common response curves while accounting for individual scaling differences.
  • Existing models often restrict the common response curve to specific function families.

Purpose of the Study:

  • To introduce a novel semi-parametric approach for functional relationship estimation in clustered data.
  • To enhance the shape invariant model using free-knot splines for greater flexibility.
  • To reduce model parameters by incorporating random distributions for individual scaling parameters.

Main Methods:

  • Utilized a free-knot spline as the shape function within the shape invariant model.

Related Experiment Videos

  • Assumed a random distribution for parameters controlling individual scaling of the shape function.
  • Developed new graphical diagnostics for model assessment.
  • Discussed parameter identifiability and estimation strategies.

    • Main Results:

    • The proposed method offers a more flexible estimation of common response curves.
    • Reduced model complexity through random parameter distributions.
    • Introduced effective graphical diagnostics for model evaluation.
    • Demonstrated the model's utility with a practical example.

    Conclusions:

    • The enhanced shape invariant model provides a robust and flexible method for analyzing clustered functional data.
    • The use of free-knot splines and random scaling parameters improves model performance and interpretability.
    • The new diagnostics aid in assessing model fit and understanding individual variations.