Category: Applets

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/tangencychordstangentsandvelocityofaparametriccurve

Confidence intervals, hypothesis testing and pvalues
This applet illustrates the connection between a confidence interval, a formal hypothesis test, and the pvalue of a hypothesis test.
melbapplets.ms.unimelb.edu.au/2021/07/12/confidenceintervalshypothesistestingandpvalues

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/powerofahypothesistest

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/partitioningofvariabilityinregression

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/partitioningofvariabilityinanova

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/lineartransformationsandeigenvectors

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/distributionoforderstatistics

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/maximumlikelihoodestimators

Convergence and continuity of a function
This applet illustrates the εδ 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/convergenceandcontinuityofafunction

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/differentiabilityofafunction
Number of posts found: 38