# 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.

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.

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.

4. ### Partitioning of variability in regression

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

5. ### Partitioning of variability in ANOVA

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

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.

8. ### Maximum likelihood estimators

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

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.

10. ### Differentiability of a function

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

Number of posts found: 38