Tag: MAST20005

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. 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

6. 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

7. QQ plots

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

   melbapplets.ms.unimelb.edu.au/2021/07/09/qq-plots

8. 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/central-limit-theorem-and-law-of-large-numbers