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<records>
  <record>
    <language>eng</language>
    <publisher>Science and Education Publishing</publisher>
    <journalTitle>American Journal of Applied Mathematics and Statistics</journalTitle>
    <eissn>2328-7292</eissn>
    <publicationDate>2021-01-31</publicationDate>
    <volume>9</volume>
    <issue>1</issue>
    <startPage>28</startPage>
    <endPage>37</endPage>
    <doi>10.12691/ajams-9-1-5</doi>
    <publisherRecordId>AJAMS2021915</publisherRecordId>
    <documentType>article</documentType>
    <title language="eng">Effects of Random Sampling Methods on Maximum Likelihood Estimates of a Simple Logistic Regression Model</title>
    <authors>
      <author>
        <name>Oshada Senaweera</name>
        <email>oshada.senaweera@gmail.com; oshada.s@sliit.lk</email>
        <affiliationId>1</affiliationId>
        <affiliationId>2</affiliationId>
      </author>
      <author>
        <name>Prasanna S. Haddela</name>
        <affiliationId>2</affiliationId>
      </author>
      <author>
        <name>Gayan Dharmarathne</name>
        <affiliationId>2</affiliationId>
      </author>
    </authors>
    <affiliationsList>
      <affiliationName affiliationId="1">Department of Information Technology, Sri Lanka Institute of Information Technology, Malabe, Sri Lanka</affiliationName>
    </affiliationsList>
    <abstract language="eng">The paper investigates the comparative effects of several random sampling methods on the maximum likelihood estimates of a simple logistic regression model. The study uses simulated data (logistic populations with pre-defined parameter values) that used Monte Carlo methods to simulate. Sampling techniques include Simple Random Sampling (SRS) and six variations of Stratified Sampling where two are single-stage Stratified Sampling and four are choice-based (two-phase) Stratified Sampling. Parameter estimates arising under each sampling technique were compared using performance measures Bias, Standard Error &amp; Percentage of models that are feasibly estimated. The simulation-based analysis found that choice-based sampling with proportional allocation in both phases is the best-suited sampling technique for parameter estimation of a simple logistic regression model.</abstract>
    <fullTextUrl format="pdf">http://pubs.sciepub.com/ajams/9/1/5/ajams-9-1-5.pdf</fullTextUrl>
    <keywords language="eng">
      <keyword>Monte-Carlo simulations</keyword>
      <keyword>random sampling</keyword>
      <keyword>logistic regression</keyword>
      <keyword>maximum likelihood estimates</keyword>
    </keywords>
  </record>
</records>