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<p>Graphical user interface for <em>Theta</em> applications (Schrausser, <ahref="https://www.academia.edu/81800920">2009</a>) within <code>ConsoleApp_DistributionFunctions</code> (Schrausser, <ahref="https://doi.org/10.5281/zenodo.7664141">2024</a>),
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generating distributions and estimators for several parameters $\theta$ via <em>bootstrap</em> method, with given number of resamples $B$, where bootstrap estimator</p>
generating distributions and estimators for several parameters <mathdisplay="inline"><mi>θ</mi></math> via <em>bootstrap</em> method, with given number of resamples <mathdisplay="inline"><mi>B</mi></math>, where bootstrap estimator</p>
<p>introduced by Efron (<ahref="https://doi.org/10.1214/aos/1176344552">1979</a>, <ahref="https://doi.org/10.1093/biomet/68.3.589">1981</a>, <ahref="https://doi.org/10.1007/978-1-4612-4380-9_41">1982</a>) as a further development of the <em>Jackknife</em> method (Quenouille, <ahref="https://doi.org/10.1111/j.2517-6161.1949.tb00023.x">1949</a>). See also <em>Monte-Carlo</em> Methode (Metropolis and Ulam, <ahref="https://doi.org/10.1080/01621459.1949.10483310">1949</a>) and <em>permutation or randomization</em> tests, first mentioned by Fisher (<ahref="https://psycnet.apa.org/record/1939-04964-000">1935</a>), based on his own account of experiments in agriculture (Fisher, <ahref="https://doi.org/10.23637/rothamsted.8v61q">1926</a>) and the work by Neyman (<ahref="https://link.springer.com/chapter/10.1007/978-94-015-8816-4_10">1923</a>).</p>
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<p>In this context see further Pitman (<ahref="http://www.jstor.org/stable/2984124">1937a</a>, <ahref="http://www.jstor.org/stable/2983647">b</a>, <ahref="http://www.jstor.org/stable/2332008">1938</a>), Fisher (<ahref="https://scirp.org/reference/referencespapers.aspx?referenceid=895747">1966</a>, <ahref="https://home.iitk.ac.in/~shalab/anova/DOE-RAF.pdf">1971</a>), Efron et al. (<ahref="">1992</a>), Good (<ahref="https://www.amazon.com/Resampling-Methods-Practical-Guide-Analysis/dp/0817643869">2006</a>), Edgington and Onghena (<ahref="https://doi.org/10.1201/9781420011814">2007</a>), Beasley and Rodgers (<ahref="https://psycnet.apa.org/doi/10.4135/9780857020994.n16">2009</a>), Oneto (<ahref="https://doi.org/10.1007/978-3-030-24359-3_4">2020</a>) or Kauermann et al. (<ahref="https://doi.org/10.1007/978-3-030-69827-0_8">2021</a>). A fundamental comparative overview of the different methods and approaches is given by Schrausser (<ahref="https://zenodo.org/records/11529663">1996</a>).</p>
<p>Beasley, W. H., & Rodgers, J. L. (2009). Resampling Methods. In <em>The Sage Handbook of Quantitative Methods in Psychology</em>, edited by Millsap, R. E., & Maydeu-Olivares, A., 362–86. Thousand Oaks, California: Sage Publications Ltd. <ahref="https://psycnet.apa.org/doi/10.4135/9780857020994.n16">https://psycnet.apa.org/doi/10.4135/9780857020994.n16</a></p>
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<p>Edgington, E. S., & Onghena, P. (2007). <em>Randomization Tests</em>. 4th ed. New York: Chapman and Hall/CRC. <ahref="https://doi.org/10.1201/9781420011814">https://doi.org/10.1201/9781420011814</a></p>
<p>Schrausser, D. G. (1996). <em>Permutationstests: Theoretische und praktische Arbeitsweise von Permutationsverfahren beim unverbundenen 2 Stichprobenproblem</em>. Universität Graz: Naturwissenschaftliche Fakultät. <ahref="https://zenodo.org/records/11529663">https://zenodo.org/records/11529663</a></p>
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