Determine Factors Influencing Airline Flight Delays Statistically
Determine Drivers of Airline Flight Delays
Context
You are analyzing a flight-level dataset to identify which factors most impact delays. Assume you have one row per flight with columns such as:
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delay_min (arrival delay in minutes; can be 0+ and skewed)
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delayed_15 (binary: delay_min ≥ 15)
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carrier, origin, destination, aircraft_type
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scheduled_departure_hour, day_of_week, month (seasonality), holiday
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route_distance, precipitation, wind, visibility (origin/destination weather)
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flight_date (for time-aware validation)
Task
Propose a statistical approach to determine which factors most impact delays. Specifically:
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Choose appropriate outcome(s) and justify them.
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Specify models and hypothesis tests you would use to quantify factor impacts.
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Detail how you would validate model assumptions and guard against common pitfalls (e.g., seasonality, heteroskedasticity).
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Explain how you would interpret results and report uncertainty.
Hints: Consider regression, ANOVA/Type II/III tests, confidence intervals, seasonality modeling, heteroskedasticity checks, and time-aware validation.
Constraints & Assumptions
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Preserve the scope, facts, inputs, and requested outputs from the prompt above.
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If the prompt leaves a detail unspecified, state a reasonable assumption before relying on it.
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Keep the answer interview-ready: concise enough to present, but concrete enough to implement or evaluate.
Clarifying Questions to Ask
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Clarify the random variables, distributional assumptions, independence assumptions, and desired output.
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Show enough derivation for the interviewer to follow the reasoning.
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Explain how you would validate the result with simulation or sensitivity checks.
What a Strong Answer Covers
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A correct setup with definitions, formulas, and boundary conditions.
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A step-by-step derivation or estimation plan.
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Interpretation of the result, including uncertainty and practical limitations.
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Checks for assumptions, edge cases, and numerical stability.
Follow-up Questions
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How would the result change if the assumptions were relaxed?
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Can you verify the answer with a simulation?
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What is the most likely source of estimation error?
