Calculate Anaerobic Power Using The Regression Equation






Anaerobic Power Calculator (Regression Equation)


Anaerobic Power Calculator

Estimate your peak anaerobic power using the Sayers regression equation.


Enter your total body weight in kilograms.
Please enter a valid, positive number for body mass.


Enter your best vertical jump height in centimeters. This is the difference between your standing reach and your maximum jump reach.
Please enter a valid, positive number for jump height.


Peak Anaerobic Power
— Watts

Power from Jump
— Watts

Power from Mass
— Watts

Relative Power
— W/kg

Formula Used (Sayers Equation): Peak Power (W) = [60.7 × Jump Height (cm)] + [45.3 × Body Mass (kg)] – 2055

Power Comparison Chart

This chart compares your calculated peak power against typical values for the general population and elite athletes.

Normative Anaerobic Power Data (Relative)

Population / Sport Rating Relative Peak Power (W/kg)
Untrained Adult Fair 35 – 45
Recreationally Active Average 45 – 60
College-Level Team Sports (e.g., Soccer, Basketball) Good 60 – 75
National-Level Sprinters / Jumpers Excellent 75 – 95
Elite Weightlifters / Power Athletes Elite > 95

Reference values for relative peak anaerobic power (Watts per kilogram of body mass). Use these to contextualize your own score.

What is Anaerobic Power?

Anaerobic power refers to the ability of your body to produce a high amount of force and power in a very short period, typically less than 30 seconds. This energy production occurs without the use of oxygen, relying on stored energy sources within the muscles like ATP (adenosine triphosphate) and phosphocreatine. It’s the explosive strength you use for activities like sprinting, jumping, throwing, or lifting heavy weights. Understanding how to calculate anaerobic power using the regression equation provides athletes and coaches with a valuable, non-invasive metric to track performance.

This metric is crucial for athletes in power-dominant sports. A high anaerobic power output is a key determinant of success in events that require maximal effort over a short duration. Misconceptions often arise, confusing anaerobic power with muscular endurance or aerobic capacity (like marathon running). While related, anaerobic power is specifically about the peak rate of energy production, not the ability to sustain effort over time. Anyone looking to improve their explosive strength can benefit from tracking this value.

Anaerobic Power Formula and Mathematical Explanation

While laboratory tests like the Wingate test provide a direct measure, they require specialized equipment. A practical alternative is to calculate anaerobic power using the regression equation developed by researchers. The most widely used and validated formula for this is the Sayers equation, which estimates peak power from a vertical jump test.

The formula is as follows:

Peak Power (Watts) = [60.7 × Vertical Jump Height (cm)] + [45.3 × Body Mass (kg)] - 2055

This equation was derived by statistically analyzing data from a large group of athletes, finding the strongest correlation between their easily measured characteristics (jump height, body mass) and their lab-tested peak power. The constants (60.7, 45.3, and -2055) are the regression coefficients that provide the best fit for predicting power. For more insights on athletic performance, you might want to check our VO2 Max Calculator.

Variable Meaning Unit Typical Range
Peak Power The maximum power output generated. Watts (W) 2000 – 8000+
Vertical Jump Height (VJ) The height an individual can jump vertically. Centimeters (cm) 20 – 100
Body Mass (BM) The individual’s total body weight. Kilograms (kg) 50 – 120

Practical Examples (Real-World Use Cases)

Let’s see how to calculate anaerobic power using the regression equation with two different athlete profiles.

Example 1: A Male Rugby Player

  • Body Mass: 95 kg
  • Vertical Jump Height: 55 cm

Using the Sayers equation:

Power from Jump = 60.7 × 55 cm = 3338.5 W

Power from Mass = 45.3 × 95 kg = 4303.5 W

Peak Power = (3338.5 + 4303.5) – 2055 = 5587 Watts

Relative Power = 5587 W / 95 kg = 58.8 W/kg. This is an average score, indicating solid but not elite explosive power for his sport.

Example 2: A Female Volleyball Player

  • Body Mass: 68 kg
  • Vertical Jump Height: 62 cm

Using the Sayers equation:

Power from Jump = 60.7 × 62 cm = 3763.4 W

Power from Mass = 45.3 × 68 kg = 3080.4 W

Peak Power = (3763.4 + 3080.4) – 2055 = 4788.8 Watts

Relative Power = 4788.8 W / 68 kg = 70.4 W/kg. This is a good score, reflecting the high demand for jumping power in volleyball. This kind of analysis is a key part of athletic testing protocols.

How to Use This Anaerobic Power Calculator

This tool makes it simple to calculate anaerobic power using the regression equation. Follow these steps for an accurate estimation:

  1. Measure Body Mass: Use a calibrated scale to find your weight in kilograms. For best results, measure in the morning before eating or drinking.
  2. Measure Vertical Jump: This is the most critical input. Stand next to a wall and reach as high as you can, marking the spot. Then, perform a countermovement jump (a dip followed by an explosive jump) and touch the wall at the peak of your jump. The distance between the two marks is your vertical jump height in centimeters.
  3. Enter the Values: Input your body mass (kg) and vertical jump height (cm) into the designated fields in the calculator.
  4. Read the Results: The calculator will instantly display your Peak Anaerobic Power in Watts. It also shows the intermediate calculations and your Relative Power (W/kg), which is excellent for comparing yourself to others of different sizes.
  5. Analyze the Chart and Table: Use the dynamic chart to see how your power stacks up against general and elite populations. Refer to the normative data table to find where your relative power places you among different types of athletes.

Key Factors That Affect Anaerobic Power Results

Several physiological and biomechanical factors influence your ability to generate explosive power. When you calculate anaerobic power using the regression equation, you are indirectly measuring the combined effect of these elements.

  • Muscle Fiber Type: Athletes with a higher proportion of Type II (fast-twitch) muscle fibers naturally produce more force and power quickly compared to those with more Type I (slow-twitch) fibers. This is largely genetic but can be influenced by training.
  • Body Composition: While the formula uses total body mass, it’s really lean muscle mass that generates force. An athlete with more muscle and less body fat will generally have higher relative anaerobic power. Improving this is a core goal of any strength training for athletes program.
  • Neuromuscular Efficiency: This refers to how well your brain and nervous system can recruit muscle fibers. Efficient motor unit recruitment and a high rate of firing lead to greater power output. This is highly trainable.
  • Training Status: A well-structured training program involving plyometrics, weightlifting, and sprinting will significantly improve anaerobic power. Untrained individuals will see rapid gains initially.
  • Technique: The efficiency of your movement, particularly in the vertical jump, plays a huge role. A proper countermovement and arm swing can add several centimeters to your jump, directly boosting your calculated power.
  • Age and Gender: Peak anaerobic power is typically achieved in the early to mid-20s. On average, males tend to have higher absolute power due to greater muscle mass, but relative power can be very competitive between genders at the elite level.

Frequently Asked Questions (FAQ)

How accurate is it to calculate anaerobic power using the regression equation?

The Sayers equation is one of the most scientifically validated and widely accepted field tests for estimating peak power. While not as precise as a laboratory force plate, it shows a very high correlation (r > 0.9) with lab results, making it an excellent and practical tool for athletes and coaches to track progress without expensive equipment.

What is a “good” anaerobic power score?

This is highly dependent on your sport, age, gender, and training level. A good way to judge your score is by calculating your “Relative Power” (Watts/kg). Check the normative data table on this page. For competitive athletes, a score above 60 W/kg is generally considered good, while elite power athletes can exceed 95 W/kg.

How can I improve my anaerobic power?

Improvement comes from targeted training. Focus on heavy resistance training (like squats and deadlifts), explosive movements (like Olympic lifts), and plyometrics (like box jumps and depth jumps). Sprint training is also highly effective. A combination of these methods will enhance both muscular strength and neuromuscular efficiency. For more ideas, see our guide on improving sprint speed.

Is this the only way to measure anaerobic power?

No. The “gold standard” is the Wingate Anaerobic Test, performed on a specialized cycle ergometer. Other methods include force plate analysis and other jump-based regression equations (e.g., Harman, Lewis). However, the method used in this calculator is popular because it only requires a measuring tape and a scale.

Why is body mass included in the equation?

Body mass is a crucial component because power is a function of moving mass over a distance in a certain time. A heavier individual must generate more force to achieve the same jump height as a lighter individual. The equation accounts for the work done against gravity on the athlete’s own body mass.

Does my height affect the calculation?

Your standing height is not a direct input. However, it has an indirect effect. Taller individuals often have longer limbs, which can be an advantage (or disadvantage) in jumping mechanics. The primary measure that captures your explosive ability is the vertical jump height itself, regardless of your standing height.

How often should I test my anaerobic power?

It’s best to test at the beginning and end of a specific training block (e.g., every 8-12 weeks). Testing too frequently may not show significant changes and can be affected by daily fatigue. Consistent testing conditions (time of day, warm-up, etc.) are key to reliable tracking.

What’s the difference between peak power and mean power?

This calculator estimates peak power—the single highest power output achieved during the movement (usually at takeoff). Mean power, often measured in a Wingate test, is the average power sustained over the entire duration of the test (e.g., 30 seconds). Peak power reflects explosiveness, while mean power reflects anaerobic capacity or endurance.

Related Tools and Internal Resources

If you found it useful to calculate anaerobic power using the regression equation, you might also be interested in these other performance and health calculators.


Leave a Reply

Your email address will not be published. Required fields are marked *