DOTS Coefficient Formula: Full Polynomial and Calculation Guide

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By Bikash Roy

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Bikash Roy

Online Research Specialist · SEO Strategist · Web Developer

Bikash personally verifies every calculator against official standards (WHO, NIH, government data). Online research specialist, SEO strategist, and web developer with 10+ years building accurate digital tools.

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· May 29, 2026

The DOTS Formula

DOTS uses a 4th-degree polynomial to normalize a powerlifting total by bodyweight:

DOTS = Total_kg × 500 / D(BW)

Where D(BW) is the polynomial denominator:

D(BW) = a·BW⁴ + b·BW³ + c·BW² + d·BW + e

Polynomial Coefficients

Separate coefficient sets reflect differences in relative strength expression between male and female lifters across bodyweight ranges.

Bodyweight Clamping Rules

The formula clamps bodyweight inputs to prevent extrapolation outside the data range:

A 120 kg male and a 230 kg male receive the same denominator — 210 kg is used for both. This is intentional: the polynomial was not fitted to extreme bodyweights and would produce unreliable results.

Unit Conversion

All inputs must be in kilograms. To convert:

The calculator handles this conversion automatically when you select lbs mode.

Step-by-Step Calculation (Male Example)

Input: Male, 83 kg bodyweight, total = 470 kg (squat 160 / bench 110 / deadlift 200)

Step 1 — Compute each polynomial term:

a·BW⁴ = −0.0000010930 × 83⁴ = −0.0000010930 × 47,458,321 = −51.87
b·BW³ =  0.0007391293 × 83³ =  0.0007391293 ×  571,787   = +422.67
c·BW² = −0.1918759221 × 83² = −0.1918759221 ×    6,889   = −1321.83
d·BW  =  24.0900756   × 83  =                             = +1999.48
e     =                                                    = −307.75

Step 2 — Sum the denominator:

D(83) = −51.87 + 422.67 − 1321.83 + 1999.48 − 307.75 = 740.70

Step 3 — Apply the formula:

DOTS = 470 × 500 / 740.70 = 317.3 → Intermediate tier

Step-by-Step Calculation (Female Example)

Input: Female, 63 kg bodyweight, total = 290 kg (squat 105 / bench 62.5 / deadlift 122.5)

Step 1 — Polynomial terms:

a·BW⁴ = −0.0000010706 × 63⁴ = −0.0000010706 × 15,752,961 = −16.86
b·BW³ =  0.0005158568 × 63³ =  0.0005158568 ×    250,047  = +128.97
c·BW² = −0.1126655495 × 63² = −0.1126655495 ×      3,969  = −447.29
d·BW  =  13.6175032   × 63  =                              = +857.90
e     =                                                     = −57.96

Step 2 — Denominator:

D(63) = −16.86 + 128.97 − 447.29 + 857.90 − 57.96 = 464.76

Step 3 — DOTS score:

DOTS = 290 × 500 / 464.76 = 312.0 → Intermediate tier

Denominator Values by Bodyweight

These pre-calculated denominators let you quickly verify DOTS without working through all polynomial terms:

Male denominators:

Female denominators:

Why the Formula Uses 500 as the Numerator Multiplier

The 500 multiplier is a scaling constant chosen so that competitive lifters at typical national-level totals score in a readable 300–500 range. It has no physical meaning — it is purely a display convention that puts scores on a scale familiar to coaches and athletes.

If you strip the multiplier and compute Total / D(BW), a 500 DOTS lifter would score 1.0 (their total exactly equals their denominator). The 500 multiplier converts that ratio to 500 for readability.

Why the Formula Uses a 4th-Degree Polynomial

A polynomial of degree 4 fits the non-linear relationship between bodyweight and strength more accurately than a simpler linear or quadratic model. Below ~60 kg, adding bodyweight generates large relative strength gains (the denominator rises steeply). Above ~120 kg, additional bodyweight adds progressively less lifting potential, and the polynomial curve flattens — preventing the formula from unfairly rewarding very heavy lifters the way Wilks’s original formula did.

Use the DOTS Calculator to apply this formula instantly without manual computation. To understand how to use your DOTS score to set training goals, see the DOTS Goal-Setting Guide.