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Equation 3 · Part 1 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

Symbol w_1

Qualitymeasured=w1⋅Fluency+w2⋅Structure+w3⋅Domain Validity.\text{Quality}_{\text{measured}} = w_1 \cdot \text{Fluency} + w_2 \cdot \text{Structure} + w_3 \cdot \text{Domain Validity}.
w1w_1

What this part means

w1w_1 is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

w1w_1 is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

…or less capable consultant who struggles with professional business writing receives an immediate boost from an automated draft: Qualitymeasured=w1⋅Fluency+w2⋅Structure+w3⋅Domain Validity\text{Quality}_{\text{measured}} = w_1 \cdot \text{Fluency} + w_2 \cdot \text{Structure} + w_3 \cdot \text{Domain Validity}. When grading rubrics heavily weight surface fluency and coherence ( w1w_1 + w2w_2 ≫\gg w3w_3 ), low-skill participants appear to leap forward. However, this surface leveling introduces two profound systemic risks that short-term randomized controlled trials are structurally unequipped to measure:

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