Students' Reasoning with Small and Large Trials in Probability Simulations

Lee, Hollylynne Stohl
January 2005
Conference Papers -- Psychology of Mathematics & Education of No;2005 Annual Meeting, p1
Conference Paper
The article presents a theoretical reflection on the themes observed in students' struggle between choosing trial sizes when the goals of an activity are shifted from finding an exact empirical distribution to match an expected theoretical one to obtaining results close enough to make an estimate of unknown distribution. According to the authors, the tendency of students to create a goal for themselves should not be ignored.


Related Articles

  • Artificial regression testing in the GARCH-in-mean model. Lucchetti, Riccardo; Rossi, Eduardo // Econometrics Journal;Dec2005, Vol. 8 Issue 3, p306 

    The issue of finite-sample inference in Generalised Autoregressive Conditional Heteroskedasticity (GARCH)-like models has seldom been explored in the theoretical literature, although its potential relevance for practitioners is obvious. In some cases, asymptotic theory may provide a very poor...

  • Estimation of Parameter in a New Truncated Distribution. Nanjundan, G. // Open Journal of Statistics;Aug2013, Vol. 3 Issue 4, p221 

    This paper discusses the estimation of the parameter in a truncated form of a discrete distribution which is analogous to Burr distribution. The maximum likelihood and the moment estimators of the parameter are obtained. Their asymptotic properties are also established.

  • The Distribution of Maximal Prime Gaps in Cramér's Probabilistic Model of Primes. Kourbatov, Alexei // International Journal of Statistics & Probability;May2014, Vol. 3 Issue 2, p18 

    In the framework of Cramér's probabilistic model of primes, we explore the exact and asymptotic distributions of maximal prime gaps. We show that the Gumbel extreme value distribution exp(- exp(-x)) is the limit law for maximal gaps between Cramér's random "primes". The result can be...

  • Transfer Theorem for Generalized Risk Processes. Korolev, V. Yu.; Kudryavtsev, A. A. // Journal of Mathematical Sciences;Jan2004, Vol. 119 Issue 3, p303 

    Discusses the construction of more adequate asymptotic approximations for the distributions of generalized risk processes by considering a double-array limit scheme. Cox process that is controlled by the process whose trajectories start from the origin and are nondecreasing, right-continuous and...

  • LIGHT-TRAFFIC ANALYSIS FOR QUEUES WITH SPATIALLY DISTRIBUTED ARRIVALS. Kroese, Dirk P.; Schmidt, Volker // Mathematics of Operations Research;Feb96, Vol. 21 Issue 1, p135 

    We consider the following continuous polling system: Customers arrive according to a homogeneous Poisson process (or a more general stationary point process) and wait on a circle in order to be served by a single server. The server is "greedy," in the sense that he always moves (with constant...

  • Evaluating Pseudo-R² 's for binary probit models. Veall, Michael R.; Zimmermann, Klaus F. // Quality & Quantity;May94, Vol. 28 Issue 2, p151 

    Many applied researchers of limited dependent variable models found it disadvantageous that a widely accepted Pseudo-R² does not exist for this type of estimation. The paper provides guidance for researchers in choosing a Pseudo-R² in the binary probit case. The starting point is that...

  • Infinitesimally Robust estimation in general smoothly parametrized models. Kohl, Matthias; Ruckdeschel, Peter; Rieder, Helmut // Statistical Methods & Applications;2010, Vol. 19 Issue 3, p333 

    The aim of the paper is to give a coherent account of the robustness approach based on shrinking neighborhoods in the case of i.i.d. observations, and add some theoretical complements. An important aspect of the approach is that it does not require any particular model structure but covers...

  • Optimum Burn-in Time for a Bathtub Shaped Failure Distribution. Bebbington, Mark; Lai, Chin-Diew; Zitikis, Ricardas // Methodology & Computing in Applied Probability;Mar2007, Vol. 9 Issue 1, p1 

    An important problem in reliability is to define and estimate the optimal burn-in time. For bathtub shaped failure-rate lifetime distributions, the optimal burn-in time is frequently defined as the point where the corresponding mean residual life function achieves its maximum. For this point, we...

  • A note on pseudolikelihood constructed from marginal densities. Cox, D. R.; Reid, N. // Biometrika;Sep2004, Vol. 91 Issue 3, p729 

    For likelihood‐based inference involving distributions in which high‐dimensional dependencies are present it may be useful to use approximate likelihoods based, for example, on the univariate or bivariate marginal distributions. The asymptotic properties of formal maximum likelihood...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics