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Modeling the Macro-Behavior of Learning Object Repositories Xavier Ochoa Escuela Superior Politécnica del Litoral
http://www.slideshare.net/xaoch
Publishing Learning Objects It is a “simple” process: Upload or point to the material Fill some metadata Share!
Publishing Learning Objects This simple process determines the micro-behavior of contributors and consumers This give rise to complex macro-behavior at the repository level once hundreds or thousands of individuals are aggregated
From Micro to Macro Studied for other fields Publication of papers Application for patents Economic transactions
Growth in Objects Some grow linearly others exponentially
Objects per Contributor Heavy-tailed distributions (no bell curve) LORP - LORF Lotka  “fat-tail”
Objects per Contributor Heavy-tailed distributions (no bell curve) OCW - LMS Weibull  “fat-belly”
Objects per Contributor Heavy-tailed distributions (no bell curve) IR Extreme Lotka “big-head”
Objects per Contributor – Impl. There is no such thing as an “average user”
Engagement is the key
Enagement is the key LMSs are the best type  of Repository!!!
Modeling LOR Publication Rate Distribution (PRD) Lifetime Distribution (LTD) Contributor Growth Function (CGF)
Modeling LOR The period of time, measured in days is selected. The Contributor Growth Function (CGF) is used to calculate the size of the contributor population  A virtual population of contributors of the calculated size is created. For each contributor:  the two basic characteristics, publication rate and lifetime are assigned (PRD) and (LTD) Each contributor is assigned a starting date (CGF).  The simulation is run
Modeling LOR
Model Validation To validate this model we compare the simulated results against the data extracted from real repositories.  Three characteristics of the repository are compared:  distribution of the number of publications among contributors (N) the shape of the content growth function (GF) the final size of the repository (S).
Model Validation Parameter Estimation
Model ValidationComparison of results N
Model Validation
Conclusions Simple assumptions: how frequently the contributors publish material (publication rate) how much time they persist in their publication efforts (lifetime) at which rate they arrive at the repository (contributor growth function).  Predict: distribution of publications among contributors the shape of the content growth function final size of the repository.
Conclusions Simple model that presents errors… but it is TESTABLE New models can be constructed and tested to determine if they are better or worst Give a way to measure the goodness of the ideas
Conclusions Altering the lifetime distribution (that is engagement) change the kind of growth of the repository
Gracias / Obrigado / Thank you Xavier Ochoa xavier@cti.espol.edu.ec http://ariadne.cti.espol.edu.ec/xavier Twitter: @xaoch

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Modeling the Macro-Behavior of Learning Object Repositories

  • 1. Modeling the Macro-Behavior of Learning Object Repositories Xavier Ochoa Escuela Superior Politécnica del Litoral
  • 3. Publishing Learning Objects It is a “simple” process: Upload or point to the material Fill some metadata Share!
  • 4. Publishing Learning Objects This simple process determines the micro-behavior of contributors and consumers This give rise to complex macro-behavior at the repository level once hundreds or thousands of individuals are aggregated
  • 5. From Micro to Macro Studied for other fields Publication of papers Application for patents Economic transactions
  • 6. Growth in Objects Some grow linearly others exponentially
  • 7. Objects per Contributor Heavy-tailed distributions (no bell curve) LORP - LORF Lotka “fat-tail”
  • 8. Objects per Contributor Heavy-tailed distributions (no bell curve) OCW - LMS Weibull “fat-belly”
  • 9. Objects per Contributor Heavy-tailed distributions (no bell curve) IR Extreme Lotka “big-head”
  • 10. Objects per Contributor – Impl. There is no such thing as an “average user”
  • 12. Enagement is the key LMSs are the best type of Repository!!!
  • 13. Modeling LOR Publication Rate Distribution (PRD) Lifetime Distribution (LTD) Contributor Growth Function (CGF)
  • 14. Modeling LOR The period of time, measured in days is selected. The Contributor Growth Function (CGF) is used to calculate the size of the contributor population A virtual population of contributors of the calculated size is created. For each contributor: the two basic characteristics, publication rate and lifetime are assigned (PRD) and (LTD) Each contributor is assigned a starting date (CGF). The simulation is run
  • 16. Model Validation To validate this model we compare the simulated results against the data extracted from real repositories. Three characteristics of the repository are compared: distribution of the number of publications among contributors (N) the shape of the content growth function (GF) the final size of the repository (S).
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  • 24. Conclusions Simple assumptions: how frequently the contributors publish material (publication rate) how much time they persist in their publication efforts (lifetime) at which rate they arrive at the repository (contributor growth function). Predict: distribution of publications among contributors the shape of the content growth function final size of the repository.
  • 25. Conclusions Simple model that presents errors… but it is TESTABLE New models can be constructed and tested to determine if they are better or worst Give a way to measure the goodness of the ideas
  • 26. Conclusions Altering the lifetime distribution (that is engagement) change the kind of growth of the repository
  • 27. Gracias / Obrigado / Thank you Xavier Ochoa xavier@cti.espol.edu.ec http://ariadne.cti.espol.edu.ec/xavier Twitter: @xaoch