Tangency: chords, tangents and velocity of a parametric curveThis applet explores the velocity vector of a parametric curve, and its relationship to the chord r(t+h)-r(t) and the difference quotient.
Confidence intervals, hypothesis testing and p-valuesThis applet illustrates the connection between a confidence interval, a formal hypothesis test, and the p-value of a hypothesis test.
Power of a hypothesis testThis 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.
Partitioning of variability in regressionThis applet illustrates partitioning of variability into explained (fitted) and unexplained (residual) variability.
Partitioning of variability in ANOVAThis applet illustrates the partitioning of variability into explained and unexplained variability, in the context of ANOVA.
Linear transformations and eigenvectorsThis 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.
Distribution of order statisticsThis applet displays the distribution for the order statististics of a sample of size n from an arbitrary population distribution.
Maximum likelihood estimatorsThis applet shows the maximum likelihood estimator and (log) likelihood function for several statistical models.
Convergence and continuity of a functionThis 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.
Differentiability of a functionThis applet illustrates the definition of derivative as the limit of the gradient of a chord.
Number of posts found: 48