## Game for StatisticiansMemory game & factorial experiment

### Game Concept

The game will test users memory skills, by requiring them to accurately repeat a pattern correctly.

There will be 3 factors that alter how the pattern is presented, which will affect the difficulty of the game.

These are...

• number of options (4 or 6)
• speed of pattern (fast or slow)
• colour of options (same or different).

As each pattern is correctly repeated, it will increase in length, and for every 5 correct patterns the user will go up a level - the aim is to get to a higher level than other users.

Just like the hit 70s game, 'Simon'

### Statistical application of game

Since the game difficulty is affected by a number of factors, this allows us to create a "factorial experiment" by changing the 'levels' of these factors.

The Yates Analysis, developed by the statistics pioneer Frank Yates (shown below), is a method through which you can analyse the data collected from such experiments.

Frank Yates in his office in 1974, using the Millionaire calculating machine developed by and built for R.A. Fisher

The Yates Analysis can be used to determine what is the ranked list of factors, based on those being more significant in helping players to reach higher levels.

How to play

### Pre-Game

Instructions on how to play the game will be explained to the user.

They will then be asked to estimate in order of priority the factors that are most likely to help players reach higher levels.

The user themselves will then play the game so that their own playing data can contribute to the dataset.

### Playing the Game

User will set the factors to their desired choices.

Then the game will start, the user must recall each pattern as it is shown to them by accurately repeating it immediately after.

If part of a pattern is not entered within 3 seconds the user will lose.

As each pattern is correctly entered, the next pattern will increase in length by 1.

For every 5 correctly entered patterns, the user will progress up a level, this will add a competitive element to encourage them to continue playing.

### Post-Game

The user can compare the level they reached with those of other players, we will display a top 10 leaderboard.

Importantly, we will also display the users list of ranked factors, and compare that with the correct order that is calculated using the Yates Analysis from the game dataset.

Overview

The more the game is played, the larger the dataset grows, and so the outcome is constantly evolving as each new user completes it.

In order to see how the user's ranked list compares to that of the actual results, they will have to supply their email address. In return, they will be emailed their results and links to further reading.

Credits:

Created with images by andymag - "Numbers" • Unsplash - "blogging blogger office" • Wokandapix - "classroom school education"

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