Round 16

Choosing an Experimental Design Strategy

A research team studying how a new soil additive affects crop yield has limited field plots, one growing season, and a fixed budget for measurements. They must commit to an experimental design before planting. The goal is to draw a reliable causal conclusion about the additive's effect while managing constraints: limited replication capacity, unknown sources of field variability (soil composition, drainage, sunlight exposure), and pressure to deliver actionable results quickly. Each design approach below offers a different balance between statistical rigor, practical feasibility, and speed of interpretation. The team must pick one overall strategy to commit to before the season starts.

Status

DECIDED Humans: 0

Machine consensus

F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition.

Final

F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition.

Human vote

No human ballots

Topic

Options

Join to vote

Voting is available while the round is open or extended.

F Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition.
3.00 of 3 PPV winner
A Use a factorial design testing the additive alongside other variables like irrigation and fertilizer simultaneously, capturing interaction effects but diluting statistical power for the additive's isolated effect.
0.00 of 3
B Run a sequential adaptive design where early-season results inform adjustments to later plot assignments, increasing flexibility but introducing risk of bias from non-fixed protocols.
0.00 of 3
C placeholder
0.00 of 3
D Use a fully randomized design with many small plots, maximizing statistical power through sheer replication but sacrificing the ability to control for localized field variability.
0.00 of 3
E Conduct a single large-scale comparison of two large fields (treated vs untreated) prioritizing real-world scale realism but with minimal replication and higher vulnerability to unmeasured plot-level differences.
0.00 of 3

Close reveal

Machine → Final

same outcome

No human ballots were cast; final consensus follows the machine result.

Same outcome F

Who governs

Origin Split

All rounds
Human 0%
Machine 100%
Turnout0
Back delegation0

Checks

Baselines

PPV no gold answer
Majority no gold answer
Comparison PPV matched majority
k samples8
Agents3
Parsed samples 17 / 18
Quality parse failures unanimous

PPV

Top Influences

Claude Sonnet 5 (alpha 1.000) · delegate 1.503
GPT 5.6 Luna (alpha 1.000) · delegate 1.497
Grok 4.5 (alpha 0.000) · delegate 1.000

Samples

Answer Distribution

GPT 5.6 Luna F: 8
Claude Sonnet 5 F: 8
Grok 4.5 F: 1 nil: 1

PPV

Influences

Label Role Score
Claude Sonnet 5 (alpha 1.000) delegate 1.503
GPT 5.6 Luna (alpha 1.000) delegate 1.497
Grok 4.5 (alpha 0.000) delegate 1.000

Voting matrix

Constructed Delegation Matrix

To / From GPT 5.6 Luna (alpha 1.000) Claude Sonnet 5 (alpha 1.000) Grok 4.5 (alpha 0.000)
GPT 5.6 Luna (alpha 1.000) 0.0000.0000.497
Claude Sonnet 5 (alpha 1.000) 0.0000.0000.503
Grok 4.5 (alpha 0.000) 0.0000.0000.000
A 0.0000.0000.000
B 0.0000.0000.000
C 0.0000.0000.000
D 0.0000.0000.000
E 0.0000.0000.000
F 1.0001.0000.000

Embeddings

Sample Embeddings

0 samples
No sample embeddings are available.

Samples

Agent Responses

GPT 5.6 Luna openai_compatible · openai/gpt-5.6-luna
#0 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

A blocked design is best because grouping plots by soil and drainage similarities reduces confounding from known field variability. It preserves randomization within blocks while providing more reliable causal estimates than comparing large fields or ignoring ...

#1 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

A blocked design controls for known differences in soil and drainage, reducing confounding from field variability. Randomizing treatment assignments within blocks preserves causal interpretability while using limited plots efficiently. This is more reliable th...

#2 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

A blocked design controls for important field variability such as soil composition and drainage while still allowing treatment comparisons within similar groups. This improves causal reliability more effectively than using only large-scale comparisons or unstr...

#3 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

A blocked design controls for important field variability such as soil composition and drainage while still allowing treatment comparisons within similar plots. This improves causal reliability more effectively than relying only on many unstructured replicates...

#4 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

A blocked design controls for known field variability such as soil composition and drainage, improving the validity of the causal comparison despite limited plots. It offers a practical balance between statistical rigor and feasibility, whereas the other desig...

#5 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

A blocked design controls for known field variability such as soil composition and drainage, reducing confounding while preserving causal comparisons. Randomizing treatment assignments within blocks improves reliability despite limited replication and avoids t...

#6 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

A blocked design controls for important field variability such as soil composition and drainage before comparing treated and untreated plots. This improves the reliability of the causal estimate despite reducing some replication capacity, making it preferable ...

#7 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

A blocked design controls for important field variability such as soil composition and drainage, improving the reliability of causal comparisons. Although blocking may reduce the number of independent replicates, it is preferable to ignoring localized differen...

Claude Sonnet 5 openai_compatible · anthropic/claude-sonnet-5
#0 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

Blocking directly addresses the described unknown sources of field variability (soil, drainage, sunlight) by grouping similar plots, which reduces confounding while remaining feasible within limited replication and a single season. This balances statistical ri...

#1 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

Blocking directly addresses the described sources of variability (soil composition, drainage, sunlight), which the researchers explicitly identified as unknown but likely confounders. Given limited plots and a single season, controlling for these known gradien...

#2 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

Blocking directly targets the described unknown field variability (soil, drainage, sunlight) by grouping similar plots, which improves internal validity for a causal claim while remaining feasible under limited replication—unlike factorial (dilutes power), ada...

#3 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

F addresses the described unknown field variability directly by grouping similar plots, which controls confounding factors better than pure randomization or large single-field comparisons. Given limited replication capacity and the need for a reliable causal c...

#4 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

Blocking directly addresses the described unknown sources of field variability (soil composition, drainage, sunlight) by grouping similar plots, which improves internal validity and confounding control—critical when replication capacity is limited. Although th...

#5 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

F addresses the described unknown field variability (soil composition, drainage, sunlight) directly by grouping similar plots into blocks, controlling confounding while still allowing valid treatment comparisons—an efficient tradeoff given limited plots and bu...

#6 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

Blocking directly targets the described unknown field variability (soil, drainage, sunlight) by grouping similar plots, which controls confounding better than pure randomization or scale-focused designs, even though it reduces replicates. Given the fixed budge...

#7 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

Blocking directly targets the described unknown field variability (soil, drainage, sunlight) by grouping similar plots, which improves internal validity and causal inference despite limited replicates—matching the study's stated constraints better than options...

Grok 4.5 openai_compatible · x-ai/grok-4.5
#2 F · Use a blocked design that groups plots by known soil and drainage similarities, improving control of confounding variables at the cost of fewer usable replicates per condition. 1536 dims

The problem is about choosing an experimental design strategy for studying anew soot;</figidusllents global additive's препарат effect onプロ crop diesms DeğJesusMiento(TM}"), The team faces tight constraints on plots, season length, and budget, plus unknown fie...

#5 - 1536 dims

The problem is about choosing an experimental design strategy for studying a soil additive's effect on crop yield with limited plots, one growing season, and fixed budget. The team needs a reliable causal conclusion about the soil additive's effect despite lim...

Timings

Stages

Sampling124220 ms
Embedding984 ms
Signals7 ms
PPV2 ms

Errors

Agent and Round Errors

Grok 4.5: :timeout