Complex Reasoning, Analysis, Research Synthesis & Math
Quality 97/100

Set up rolling-origin cross-validation with residual diagnostics

Compare forecasting methods over many origins and confirm the winner leaves no exploitable structure in its residuals.

A rolling-origin cross-validation specification plus a residual diagnostic checklist tied to forecasting consequences.

Template

Role

time series modeller

Task

Specify a rolling-origin cross-validation for {{series_name}}: the initial training window, the step size, horizon {{horizon}}, and how errors are aggregated across origins. Then define the residual diagnostics for the selected model, autocorrelation inspection, mean-zero and constant-variance checks, distributional check, and a portmanteau test with its lag choice for {{seasonality}} data, and state what each failure would imply for the forecasts.

Context

A single holdout comparison produced a near-tie between {{method_a}} and {{method_b}}, and the team wants a more stable comparison plus evidence the winner is not leaving signal behind.

Inputs

  • Series description and length for {{series_name}}
  • Methods to compare: {{method_a}} and {{method_b}}
  • Horizon {{horizon}} and seasonal period for {{seasonality}}
  • Operational constraint on retraining frequency

Constraints

  • Define the origin schedule explicitly, including the number of evaluation points
  • Aggregate errors across origins with the chosen measure and report dispersion, not just the mean
  • Set the portmanteau lag count according to whether the data are seasonal
  • For each residual assumption, state the forecasting consequence of violating it

Output Format

A cross-validation specification, an aggregation plan, and a residual diagnostic checklist mapping each check to its consequence.

Quality Criteria

  • Origin schedule fully specified and reproducible
  • Error dispersion across origins reported
  • Lag choice justified by seasonality
  • Each residual failure mapped to a concrete forecasting consequence
advanced
cross-validation
forecasting
model-comparison
residual-diagnostics
time-series