In my opinion, such game should exist
To learn basics of statistics and improve basic concepts.
To improve site traffic.
We can add those games beside the chat window, or as a sidebar beside main site.
Sample Game 1:
There will be a Gaussian curve. The user requires to put standard deviations and means and the curve will shift accordingly.
Sample Game 2:
Student's T distribution where the user have to put different values for degree of freedom and to see when the curve approaches the Gaussian
Sample game 3:
chi-square distribution with k degrees of freedom is the distribution of a sum of the squares of k independent standard normal random variables (Wikipedia)
How different independent normal random variables make up the Chi square will be visualised.
Sample game 4:
Hypothesis testing: Type 1 error and type 2 error. There will be a table.
Computer will tell whether H0 is true or H1 is true. The user have to click "Accept null hypothesis" or "Reject null hypothesis". The computer will hilioght the box on whether the user took right decision or made an error.
There is no hurry to implement the games. Feel free to suggest such silly games to develop insight into statistics, and to learn very basics of statistics.
The ideas will help the
- Beginners or novices.
- Non-mathematics or Non-statistics people.
- Those having misconceptions and confusions.
- Those not getting the concepts and links.