Calculate EFG (Effective Field Goal Percentage)

How Is eFG Calculated?

To calculate Effective Field Goal Percentage (eFG%), a metric that reflects scoring efficiency in basketball, you need specific game statistics. The eFG% uses the formula (2pt FGM + 1.5 * 3pt FGM) / FGA.

Components of the eFG% Formula

Numerator: The top part of the equation, 2pt FGM + 1.5 * 3pt FGM, where '2pt FGM' represents the number of two-point field goals made, and '3pt FGM' stands for the number of three-point field goals made, multiplied by 1.5. This weighting recognizes that three-pointers contribute more to the score per shot compared to two-pointers.

Denominator: The bottom part of the formula is 'FGA', referring to the total number of field goal attempts. It encompasses all shooting attempts during the game, both two-point and three-point attempts.

Importance of eFG%

The eFG% is key for analyzing a player’s scoring efficiency, emphasizing the added value of three-point shots. It is calculated by considering points per shooting possession, essential for understanding how well a player or team uses their field goal attempts to score points. This statistic is pivotal in evaluating offensive effectiveness in basketball analytics.

For accurate calculation and analysis, maintain precise and complete game stats, including all successful and attempted shots. Always verify data for correctness to ensure the calculation reflects true performance.

How is Effective Field Goal Percentage (eFG%) Calculated?

The effective field goal percentage (eFG%) is an essential basketball statistic that adjusts the traditional field goal percentage to account for the added value of three-point field goals. Understanding how to calculate eFG% provides a clearer insight into a player's shooting efficiency.

Understanding the Formula

The formula for calculating eFG% is eFG% = (2pt FGM + 1.5 * 3pt FGM) / FGA. Here, 2pt FGM represents two-point field goals made, 3pt FGM is three-point field goals made, and FGA stands for field goal attempts. This formula includes a weight of 1.5 for three-point field goals, acknowledging their higher point value compared to two-point shots.

Steps for Calculation

To calculate eFG%, start by identifying the number of two-point and three-point field goals made by a player or team. Multiply the three-point field goals made (3pt FGM) by 1.5. Add this result to the two-point field goals made (2pt FGM). Divide the sum by the total number of field goal attempts (FGA). The quotient is the eFG%.

For instance, if a player makes 4 two-point field goals and hits 4 out of 10 three-point attempts, the eFG% calculation would be eFG% = (4 + 1.5 * 4) / 10 = 0.6 or 60%.

This method adjusts the simple field goal percentage to better reflect the player's overall efficiency, considering the three-point shot's effectiveness. It offers a more accurate measure of shooting performance in environments where long-range shots are common.

Calculating EFG: Practical Examples

Example 1: Simple Spherical Charge Distribution

Determine the Electric Field Gradient (EFG) at the center of a uniformly charged sphere. Assume a total charge Q and radius R. Use the formula V_{2,0} = \frac{2Q}{5R^2} for spherical harmonics component of the potential.

Example 2: Point Charge Near a Nucleus

Calculate the EFG created by a point charge q located at a distance d from a nucleus. The EFG is given by q \cdot \frac{3z^2 - r^2}{r^5}, where z is the displacement along the axis of interest and r is the radial distance from the charge to the observation point.

Example 3: Axial Symmetry in Diatomic Molecule

Analyze a diatomic molecule AB with atomic charges +q and -q separated by distance 2a. Here, the EFG for the midpoint can be computed using the formula V_{zz} = \frac{q \cdot (3a^2 - 2a^2)}{a^5}.

Example 4: Contribution of Surrounding Charges

Estimate how surrounding charges contribute to the EFG at a reference point. Consider multiple charges q_i at different positions r_i using the sum V_{zz} = \sum_i (\frac{q_i \cdot (3z_i^2 - r_i^2)}{r_i^5}).

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