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    Case Study — World records as measures of senescence or randomness
    This is a project meant to accompany the Case Study that Carl Bergstrom, which uses R to explore whether declining track and field world record performance could be an artifact of sample size (less...

    Keywords: RRStudioprogrammingsampling distributionProbability & Statisticsrandomnesscontinuous probability distribution

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    Sampling Distributions and Null Distributions: two swirl lessons in R
    There are two complementary lessons. The first covers how sampling distributions are made and ID's their key properties. The second covers how null distributions and how the test statistic of a...

    Keywords: The Analysis of Biological Datateaching with technologySwirl

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    IPMpack: an R package for Integral Projection Models
    IPMpack is an R package (R Development Core Team 2013) that allows users to build and analyse Integral Projection Models.

    Keywords: RR-Forgeanimalbiostatisticscomparative analysisecologylongitudinal datamodel comparisonmodel estimationprojectionssurvivaltime seriestrajectoryIPMintegral projection modelsResources @ QUBES - Software

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    1-141-MMGameRevisited-ModelingScenario
    It is assumed that the probability of an M&M chocolate, when tossed, falling on the M side is 0.5 The goal is to find a probability distribution of the probability q which is Pr(randomly chosen...

    Keywords: Probabilitystochastic processesBayesian methodsprobability distribution

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    Checking Normality in R with swirl
    How to use the "three-prong" approach to check for normality

    Keywords: biostatisticsR programming languageSwirl

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    1-108-PoissonProcess-ModelingScenario
    In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve...

    Keywords: Probabilitysstochastic processesPoisson processwaiting timearrival

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    Beanbag Toss (Grades 6-8)
    The classroom lesson presents students with the task of developing a fair--yet challenging--beanbag toss game.

    Keywords: parametersdata collectionMeanMedian & Mode

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    1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
    In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given...

    Keywords: physiologypipelinecompartmentbloodcirculationintegro-differential equation

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    1-001s-StochasticMDeathImmigration-ModelingScenario
    We develop a mathematical model of a death and immigration process using m&ms as a stochastic process with the help of probability generating functions (pgf). We start with 50 m&ms in a bag.

    Keywords: simulationdatalogisticimmigrationstochasticdeathfitting

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    2009-Agnes_Rash-Brian_Winkel-Birth_and_Death_Process_Modeling_Leads_to_the_Poisson_Distribution
    In this paper there are details of development of the general birth and death process from which we can extract the Poisson process as a special case.

    Keywords: ProbabilityMeanPoisson processbirth and death processinfinite number of differential equations

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    2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
    Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,

    Keywords: biologyMathematical Biologytextbooktext

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    Hypoxia: A Case Study in R
    Aquatic ecosystems are home to a complex intersection of physical and biological factors and an intersection of natural and anthropogenic factors. In the Chesapeake Bay, low oxygen events have...

    Keywords: data analysisOceanographyProject EDDIE

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    Grassy Narrows and Muskrat Falls Dam: The Central Limit Theorem and a t-test
    Students are introduced to concepts of sampling distributions and hypothesis testing using a simulation applet, elementary hypothesis tests, t-tests, and p-values as they compare a given fish...

    Keywords: statisticsmathematicsbiostatisticsecologybiologygraphingp-valuest-testshypothesis testingin-class activityZoologymercury biogeochemistrybiostatistics - generalfish populationqbccBiogeochemical cyclesInterpret graphsSolving Equations and InequalitiesConcepts in StatisticsElementary Hypothesis TestingMethylmercurydamsBioaccumulationtraditional dietsmercurymercury poisoningnative peopleindigenous populationCanadahydroelectricexplaining statisticsusing statisticsMake probability calculations

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    Infectious Chocolate Joy with a Side of Poissonian Statistics: An activity connecting life science students with subtle physics concepts
    Introductory physics courses are required for many programs in the life sciences, yet traditional curricula fail to help students meaningfully connect physical concepts with biological...

    Keywords: quantitative biologyHIVmultiplicity of infectionPoisson DistributionPhysics for biologists

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    Using Grassy Narrows in a Live Classroom with Clicker Questions and Interactive Histogram: Sampling Distributions, Probability, and Hypothesis Testing
    Students are introduced to concepts of sampling distributions, p-values, and hypothesis testing. Using both simulated and real data for methylmercury level in fish populations, students will...

    Keywords: statisticsmathematicsbiostatisticsecologybiologygraphingp-valuest-testshypothesis testingin-class activityZoologymercury biogeochemistrybiostatistics - generalfish populationqbccBiogeochemical cyclesInterpret graphsConcepts in StatisticsElementary Hypothesis TestingMethylmercurydamsBioaccumulationtraditional dietsmercurymercury poisoningnative peopleindigenous populationCanadahydroelectricexplaining statisticsusing statisticsMake probability calculations

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    Introduction to Probability, Statistics, and Random Processes
    This site is the homepage of the textbook Introduction to Probability, Statistics, and Random Processes by Hossein Pishro-Nik.

    Keywords: textbookcurriculumcourseproblem setsolutions

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    Math Bench Probability and Statistics: Basic Rules of Probability
    MathBench resource covering the "Law of Or" and the "Law of And" and how to use them in an online setting

    Keywords: ProbabilityResources @ MathBenchonlinerule of orrule of and

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    Biostatistics using R: A Laboratory Manual
    Biostatistics Using R: A Laboratory Manual was created with the goals of providing biological content to lab sessions by using authentic research data and introducing R programming language to...

    Keywords: biostatisticsR programming language

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    Gender and Classroom Participation: A Case for Quantitative Analysis
    Teaching statistics to students using authentic research is one way to highlight the transferability and value of the material taught in the class. Below we describe an activity in Statistics for...

    Keywords: statisticsgenderpopulationProportionSampleEquality

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    Chapter 4: Probability distributions
    Biostatistics Using R: A Laboratory Manual was created with the goals of providing biological content to lab sessions by using authentic research data and introducing R programming language....

    Keywords: biostatisticsR programming language

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