Category: Applets

  1. Tangency: chords, tangents and velocity of a parametric curve

    This applet explores the velocity vector of a parametric curve, and its relationship to the chord r(t+h)-r(t) and the difference quotient.

    melbapplets.ms.unimelb.edu.au/2021/08/19/tangency-chords-tangents-and-velocity-of-a-parametric-curve

  2. Confidence intervals, hypothesis testing and p-values

    This applet illustrates the connection between a confidence interval, a formal hypothesis test, and the p-value of a hypothesis test.

    melbapplets.ms.unimelb.edu.au/2021/07/12/confidence-intervals-hypothesis-testing-and-p-values

  3. Power of a hypothesis test

    This applet gives a visualisation of the concept of statistical power, and helps illustrate the relationship between power, sample size, standard deviation and difference between the means.

    melbapplets.ms.unimelb.edu.au/2021/07/12/power-of-a-hypothesis-test

  4. Partitioning of variability in regression

    This applet illustrates partitioning of variability into explained (fitted) and unexplained (residual) variability.

    melbapplets.ms.unimelb.edu.au/2021/07/12/partitioning-of-variability-in-regression

  5. Partitioning of variability in ANOVA

    This applet illustrates the partitioning of variability into explained and unexplained variability, in the context of ANOVA.

    melbapplets.ms.unimelb.edu.au/2021/07/12/partitioning-of-variability-in-anova

  6. Linear transformations and eigenvectors

    This applet illustrates the effect of a linear transformation in R2 on the unit circle/unit disk, and the geometric meaning of eigenvectors, eigenvalues and determinant.

    melbapplets.ms.unimelb.edu.au/2021/07/12/linear-transformations-and-eigenvectors

  7. Distribution of order statistics

    This applet displays the distribution for the order statististics of a sample of size n from an arbitrary population distribution.

    melbapplets.ms.unimelb.edu.au/2021/07/12/distribution-of-order-statistics

  8. Maximum likelihood estimators

    This applet shows the maximum likelihood estimator and (log) likelihood function for several statistical models.

    melbapplets.ms.unimelb.edu.au/2021/07/12/maximum-likelihood-estimators

  9. Convergence and continuity of a function

    This applet illustrates the ε-δ definitions of the limit and continuity of a function. It can be used to investigate (non-)convergence or (dis)continuity of real functions, including the Dirichlet everywhere discontinuous function and variants.

    melbapplets.ms.unimelb.edu.au/2021/07/12/convergence-and-continuity-of-a-function

  10. Differentiability of a function

    This applet illustrates the definition of derivative as the limit of the gradient of a chord.

    melbapplets.ms.unimelb.edu.au/2021/07/12/differentiability-of-a-function

Number of posts found: 38