On Simpson’s Paradox for Discrete Lifetime Distributions Public Deposited

http://ir.library.oregonstate.edu/concern/undergraduate_thesis_or_projects/zc77sq915

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  • In probability and statistics, Simpson’s paradox is an apparent paradox in which a trend is present in different groups, but is reversed when the groups are combined. Joel Cohen (1986) has shown that continuously distributed lifetimes can never have a Simpson’s paradox. We investigate the same question for discrete random variables to see if a Simpson’s paradox is possible. With discrete random variables, we first look at those that have equally spaced values and show that Simpson’s paradox does not occur. Next, when observing the discrete lifetimes that are unequally space with identical supports, we similarly discover that a Simpson’s paradox still cannot occur. When the two random variables do not have identical supports, which allows for the flexibility to compare a broad range of different random variables, we discover that a Simpson’s paradox can occur.
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  • description.provenance : Submitted by Daniel Lebowitz (lebowitd@onid.orst.edu) on 2013-07-10T20:23:41Z No. of bitstreams: 1 expos.paper.pdf: 418928 bytes, checksum: ae8967df6427461c7d7067a7fbc0de68 (MD5)
  • description.provenance : Made available in DSpace on 2013-07-12T22:00:03Z (GMT). No. of bitstreams: 1 expos.paper.pdf: 418928 bytes, checksum: ae8967df6427461c7d7067a7fbc0de68 (MD5) Previous issue date: 2013-06-10
  • description.provenance : Approved for entry into archive by Deanne Bruner(deanne.bruner@oregonstate.edu) on 2013-07-12T22:00:03Z (GMT) No. of bitstreams: 1 expos.paper.pdf: 418928 bytes, checksum: ae8967df6427461c7d7067a7fbc0de68 (MD5)
  • description.provenance : Approved for entry into archive by Deanne Bruner(deanne.bruner@oregonstate.edu) on 2013-07-12T21:29:08Z (GMT) No. of bitstreams: 1 expos.paper.pdf: 418928 bytes, checksum: ae8967df6427461c7d7067a7fbc0de68 (MD5)

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