t-Stat With an Added Orthogonal Regressor, Live Sharpe Check, and Absolute-Loss Estimator

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Quick Overview

Three written quantitative questions: how an OLS t-statistic changes when an orthogonal regressor is added, how many flat live trading days should make you doubt a backtest with a Sharpe ratio of 8, and which estimator minimizes expected absolute error. It tests regression mechanics, Sharpe-ratio scaling, and loss-function reasoning.

t-Stat With an Added Orthogonal Regressor, Live Sharpe Check, and Absolute-Loss Estimator

Company: Headlands

Role: Data Scientist

Category: Statistics & Math

Difficulty: medium

Interview Round: Online Assessment

Overview: Three written quantitative questions: how an OLS t-statistic changes when an orthogonal regressor is added, how many flat live trading days should make you doubt a backtest with a Sharpe ratio of 8, and which estimator minimizes expected absolute error. It tests regression mechanics, Sharpe-ratio scaling, and loss-function reasoning.

Read the full Headlands Data Scientist interview experience this question came from

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Headlands
Aug 30, 2026
mediumData ScientistOnline AssessmentStatistics & Math
8
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