How to describe these results?

[musicgold]

Hi,

Please see the attached Excel file. The table shows the results of a simulated game. Here the skill level of each player is the same. The chart shows how the chance of winning the game by a player declines exponentially as the number of players increase.

I have tried to fit a trend line to that curve. However, I am not sure how to describe the result in simple terms. I want to be able to say for every additional player, the chance of winning the game for a player goes down by X.

Also, is there a better way of describing the results?

Thanks.

 

[mmwave]

Hello,

Thank you for sharing your results. Based on the data in the Excel file, it appears that as the number of players increases, the chance of winning the game for a player decreases exponentially. In simpler terms, this means that for each additional player, the chance of winning for a player decreases by a certain amount. This amount can be calculated by taking the difference between the chance of winning for two consecutive number of players (e.g. for 4 players and 5 players) and dividing it by the number of additional players (in this case, 1). This will give you the average decrease in chance of winning for each additional player.

Another way to describe the results could be by stating the overall trend, such as "The data shows a clear exponential decrease in the chance of winning for a player as the number of players increases." You could also mention the specific equation of the trend line and its correlation coefficient, if applicable, to further support your findings.

I hope this helps. Let me know if you have any further questions. Good luck with your research!