Derive average trip speed, test whether speed is materially the same across the weeks of the month, and develop a hypothesis for average speed as a function of time of day.
# Compare Trip Speeds Across Time
Derive average trip speed from distance and duration. Test whether average speeds are materially the same across all weeks of September, and develop a hypothesis for how average speed varies by time of day.
### Constraints & Assumptions
- State units and timezone.
- Exclude or separately report nonpositive durations, negative distances, impossible timestamps, and implausible speeds.
- “Materially the same” requires a practical threshold, not only a p-value.
### Clarifying Questions to Ask
- How are partial weeks at the month's boundaries defined?
- Is the estimand trip-weighted mean speed, distance divided by total time, or another measure?
- What speed difference would matter operationally?
```hint Define the estimand before the test
The mean of per-trip speeds is not the same as total distance divided by total duration.
```
### What a Strong Answer Covers
- A defensible speed calculation and quality filters.
- Week definitions, exploratory summaries, and a suitable inferential method.
- Effect sizes, uncertainty, multiple comparisons, and practical significance.
- A time-of-day pattern evaluated against plausible confounders.
### Follow-up Questions
- How would repeated traffic patterns by weekday affect the test?
- How would you distinguish congestion from a changing trip-location mix?
Overview: Derive average trip speed, test whether speed is materially the same across the weeks of the month, and develop a hypothesis for average speed as a function of time of day.
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Compare Trip Speeds Across Time
Derive average trip speed from distance and duration. Test whether average speeds are materially the same across all weeks of September, and develop a hypothesis for how average speed varies by time of day.
Constraints & Assumptions
State units and timezone.
Exclude or separately report nonpositive durations, negative distances, impossible timestamps, and implausible speeds.
“Materially the same” requires a practical threshold, not only a p-value.
Clarifying Questions to Ask Guidance
How are partial weeks at the month's boundaries defined?
Is the estimand trip-weighted mean speed, distance divided by total time, or another measure?
What speed difference would matter operationally?
What a Strong Answer Covers Guidance
A defensible speed calculation and quality filters.
Week definitions, exploratory summaries, and a suitable inferential method.
Effect sizes, uncertainty, multiple comparisons, and practical significance.
A time-of-day pattern evaluated against plausible confounders.
Follow-up Questions Guidance
How would repeated traffic patterns by weekday affect the test?
How would you distinguish congestion from a changing trip-location mix?