user13675: I want to establish a rating system for my community.

I've decided to publish the rating every 1st January, April, July and October.
Every new player will be given a rating of 1200.
Using result submitted to me by tournament organisers, I will get
every players' Rating Performance for any tournament.
Every time I want to publish a new rating, I will calculate the Average
Rating Performance for every player.
Let say between January to April, Player A's Rating Performances are
1300, 1200, 1400 (Player A participated in 3 tournaments)
So by April 1st, Player A's rating is (1300 + 1200 + 1400)/3 = 1300

Is this correct?
Edit
To put it simple, am I correct to use Player's Rating Performance to base my rating system?
Or should I calculate players' rating based on every player's encounter using calculator like this: https://ratings.fide.com/calculator_rtd.phtml ?

user12629: It is better to look at every game. Only looking at tournament performances causes you to lose some important information.
Should a 4 round tournament count the same as a 9 round tournament? Under your system, they count the same. That doesn't seem right.
I had a tournament recently where I won against 3 low-rated players and drew against a player rated over 2000. My performance rating was 2041. But there's a difference between a 2041 performance done this way, and a 2041 performance achieved by scoring 2/4 against players rated over 2000.
It's worse when a player wins (or loses) every game in a tournament. Are you going to make a player's rating go down after they win every game, if their opponents were too weak and thus the performance rating for that tournament was low? That doesn't seem fair.
Also, what happens during the next rating period? How do you account for the fact that the player already has a rating? Are you averaging in the old rating? But if a player with a well established rating plays in one tournament in a period, simply averaging the old rating and the one new tournament seems to put too much weight on the one new tournament.

13675: <p>I want to establish a rating system for my community.</p>

<ol>
<li>I've decided to publish the rating every 1st January, April, July and October.</li>
<li>Every new player will be given a rating of 1200.</li>
<li>Using result submitted to me by tournament organisers, I will get
every players' Rating Performance for any tournament.</li>
<li>Every time I want to publish a new rating, I will calculate the Average
Rating Performance for every player.</li>
<li>Let say between January to April, Player A's Rating Performances are
1300, 1200, 1400 (Player A participated in 3 tournaments)</li>
<li>So by April 1st, Player A's rating is (1300 + 1200 + 1400)/3 = 1300</li>
</ol>

<p>Is this correct?</p>

<h1>Edit</h1>

<p>To put it simple, am I correct to use Player's Rating Performance to base my rating system?</p>

<p>Or should I calculate players' rating based on every player's encounter using calculator like this: <a href="https://ratings.fide.com/calculator_rtd.phtml" rel="nofollow noreferrer">https://ratings.fide.com/calculator_rtd.phtml</a> ?</p>
 12629: <p>It is better to look at every game. Only looking at tournament performances causes you to lose some important information.</p>

<p>Should a 4 round tournament count the same as a 9 round tournament? Under your system, they count the same. That doesn't seem right.</p>

<p>I had a tournament recently where I won against 3 low-rated players and drew against a player rated over 2000. My performance rating was 2041. But there's a difference between a 2041 performance done this way, and a 2041 performance achieved by scoring 2/4 against players rated over 2000.</p>

<p>It's worse when a player wins (or loses) every game in a tournament. Are you going to make a player's rating go <em>down</em> after they win every game, if their opponents were too weak and thus the performance rating for that tournament was low? That doesn't seem fair.</p>

<p>Also, what happens during the next rating period? How do you account for the fact that the player already has a rating? Are you averaging in the old rating? But if a player with a well established rating plays in one tournament in a period, simply averaging the old rating and the one new tournament seems to put too much weight on the one new tournament.</p>
