REAL FARM DATA / OPEN CASE STUDY 01

Every harvest point.
A clearer field decision.

From combine records to a defensible interpretation. Explore two wheat harvests, inspect the data, and see how uncertainty changes the story.

52,827real harvest observations
02real harvest batches
100%source files traceable
HENRYS FIELDWINTER WHEAT · 2018
Recorded yield · bu/acReal machine observations
FIELD STUDY / MONTANA, USA
THE WORKFLOW01 Inspect→02 Align→03 Analyze→04 Challenge→05 ReportReproducible by design ↗
01 / GET CLOSE TO THE DATA

The field tells a story.
Inspect every point.

See where the combine travelled, what it recorded, and where application data can support an analysis. Select a point to inspect its source values.

HARVEST BATCH
Loading source data…
HARVEST RECORDS—Original machine observations
RETAINED AFTER SCREENING——
APPLICATION COVERAGE——
MEDIAN RECORDED YIELD—bu/ac · screened harvest records
RECORDED HARVEST YIELDHenrys · 2018
Measured data
N↑
Local metric coordinates · north up
i

Screening rules are transparent analytical choices. Flags identify records for review; they do not establish instrument errors or repair calibration.

See the evidence boundary ↗
02 / ESTIMATE, THEN QUESTION

A relationship.
With its uncertainty.

Raw averages can hide spatial patterns. Compare a rate-only model with a model that also accounts for location, then inspect how screening choices affect the result.

EXPLORATORY ASSOCIATION

Reading the field…

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SPATIALLY ADJUSTED CONTRAST——
RECORDED RATE → RECORDED YIELD

What changes after spatial adjustment?

20 m cell medians
Spatial trend adjustedRate only95% block bootstrap interval

Curve shown over the middle 80% of observed cell rates. Each dot is an equally weighted cell, not an independent treatment replicate.

COMPARE THE INTERPRETATION

One contrast, two models.

Lower recorded rate—
→
Higher recorded rate—
—

Contrast between the 25th and 75th percentile of matched cell rates. Interval resamples 100 m spatial blocks; it is conditional on the selected model.

CHALLENGE THE RESULT

Does the conclusion survive screening?

Same matching rule

Profiles can change both the retained records and the observed rate contrast. This is a sensitivity comparison, not three independent experiments.

INSPECT WHAT THE MODEL LEAVES BEHIND

Spatial diagnostics.

—bu/ac · block holdout RMSE
—100 m resampling blocks

Residual semivariance by distance. Remaining spatial dependence can make intervals too narrow. Block holdout measures within-field prediction only.

Inside the modelFormula, uncertainty and limits +

Model: recorded yield = intercept + recorded rate + rate² + x + y + x² + xy + y². Ordinary least squares on 20 m cell medians, with at least three matched harvest observations per cell.

Uncertainty: 400 resamples of 100 m spatial blocks, using a fixed seed. The blocks are analytical groups, not randomized plots. Spatial dependence beyond block boundaries may understate uncertainty.

Interpretation: the randomized trial layout and independent experimental-unit identifiers have not been established. This model describes a spatially adjusted association. A trial-specific mixed or spatial covariance model requires the original design and treatment assignments.

03 / DESIGN THE NEXT QUESTION

Small differences.
Better planned trials.

Explore how independent replication and field variability affect the chance of detecting a future yield difference.

SIMULATION · PLANNING SCENARIO

Calibrated to the 2018 balanced model’s cell residual SD, used only as a planning proxy. Assumes independent paired-plot blocks, within-pair correlation 0.5, and a two-sided 5% test.

POWER VS. INDEPENDENT REPLICATION5,000 trials / scenario
FIRST TESTED COUNT AT ≥80% POWER—

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Each replicate is one independently randomized block with two plots. More GPS readings do not create more treatment replicates. Confirm actual plot variance before prescribing sample size.

04 / A RESULT YOU CAN TRACE

Beautifully clear.
Open to scrutiny.

Every map starts with a published file. Every estimate has a reproducible method. Every limitation stays attached to the result.

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Source to screen.

Public example data from Montana State University’s On-Farm Precision Experiments project. Original archives and SHA-256 hashes are included.

View the source repository ↗
PINNED REVISIONae70c5d8ad4f…
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Measured. Modeled. Simulated.

  • MeasuredHarvest, application and protein records
  • ModeledSpatial association and conditional intervals
  • SimulatedFuture trial power under stated assumptions
Inspect the analysis manifest ↗
□

The boundary is visible.

No soil, weather, satellite imagery or randomized treatment layout is invented. No machinery delay correction is claimed without validated timing.

The 2018 rate documentation conflicts on product versus nitrogen mass. We retain the recorded rate and do not convert it to nitrogen.

THE HANDOFF

A clear report. A reproducible analysis.

Take the current batch, screening choices and model results into an agronomist-friendly report, with methods and limits included.

Open the analysis report ↗