Category: Applets

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. Convergence of a sequence

    This applet illustrates the ε-M definition of convergence of a sequence.

    melbapplets.ms.unimelb.edu.au/2021/07/12/convergence-of-a-sequence

Number of posts found: 57