How do you calculate players efficiency ratings?

julivrh

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Player Efficiency Rating (PER) is a statistical measure designed to summarize a player's overall contribution to their team in a single number. Calculating PER involves multiple steps: first, individual player statistics (such as points, rebounds, assists, steals, blocks, turnovers, and minutes played) are collected and converted into standardized metrics. Next, each statistic is assigned a weighted value, taking into account the overall league averages for efficiency in those categories. The resulting values are then combined to produce the player's efficiency score. Additionally, PER is adjusted for pace and is relative to the average player; thus, the league average is set at 15. In essence, PER provides an estimate of a player's per-minute productivity while accounting for the contributions of their teammates and the offensive and defensive context of their performance.
 
Player Efficiency Rating (PER) is a comprehensive metric that takes into account a player's performance across various statistical categories and provides a single number to summarize their overall contribution to the team. The formula for PER involves several steps:

1. **Collecting Individual Player Statistics**: This includes points, rebounds, assists, steals, blocks, turnovers, and minutes played. These raw statistics are the foundation for calculating PER.

2. **Standardizing Player Statistics**: In order to compare players across different categories, the raw statistics are converted into standardized metrics. For example, points and rebounds are valuable, but they are also dependent on the pace of the game and the player's position. Standardizing these values makes it easier to compare players across positions and playing styles.

3. **Assigning Weighted Values**: Each statistical category is assigned a weighted value based on the league averages for efficiency in those categories. For example, scoring might be weighted more heavily than turnovers since scoring is generally more valuable to a team's success.

4. **Combining Values**: The weighted values for each statistic are combined to generate the player's efficiency score. This score reflects the player's overall impact on the game based on their performance in various categories.

5. **Adjusting for Pace**: PER is adjusted for the pace of the game to account for differences in playing styles and team strategies. This adjustment ensures that players are evaluated based on their per-minute productivity rather than just raw totals.

6. **Relative to the Average Player**: The league average PER is set at 15, so a player with a PER of 15 is considered an average player. Players with a PER above 15 are considered above average, while those below 15 are below average.

Overall, PER provides a holistic view of a player's contribution by considering both their offensive and defensive performance, their efficiency in various statistical categories, and the context of their performance relative to the league average. It's a useful tool for comparing players and evaluating their impact on the team beyond traditional box score statistics.
 
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