Tag: MAST20005

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

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

QQ plots
This applet explores QQplots for a range of distributions.

Central Limit Theorem and Law of Large Numbers
This applet illustrates how the distribution of the sample mean converges towards normality as sample size increases.
melbapplets.ms.unimelb.edu.au/2021/07/08/centrallimittheoremandlawoflargenumbers