Twenty-four farms are randomized to 4 sequences of 6 farms each. Every farm contributes one baseline (control) month and three post-crossover (intervention) months. Weekly AGI surveillance covers all farm workers/residents (target nβ10/farm), yielding 24 farms Γ 4 months Γ 4 weeks Γ 10 workers β 3,840 person-weeks. The stepped-wedge design is chosen because every farm eventually receives the intervention (ethical advantage in an occupational setting) and because within-cluster time-trend adjustment is more efficient than parallel allocation when cluster count is modest .
Intervention: (a) point-of-use chlorination of cooking water with residual monitoring (0.2β0.5 mg/L free chlorine twice weekly by field staff using DPD colorimetry); (b) dedicated handwashing stations with soap at kitchen and latrine entrances. Fidelity metrics: residual chlorine β₯0.2 mg/L in β₯80% of spot-checks, soap availability β₯90% of visits.
Weekly AGI (β₯3 loose stools/24h or β₯2 vomiting episodes) is binary per person-week. Assuming control incidence pc=0.15 and target pt=0.075 (50% relative reduction), the within-person variance sΒ²β = [0.15Γ0.85 + 0.075Γ0.925]/2 = 0.0984. With farm-level ICC Ο=0.05 and 160 person-weeks per farm, sΒ²tot = 0.0984/(1β0.05) = 0.1036. The multilevel variance-inflation framework for stepped-wedge designs with >2 clustering levels (person-week β farm β sequence) provides VIFSW factors that account for both the cluster structure and the timing of crossover . Preliminary VIFSWβ0.3 (for T=4 periods, ICC=0.05) suggests 24 farms Γ 160 person-weeks = 3,840 person-weeks yields ~80% power at Ξ±=0.05 for a 7.5-percentage-point absolute reduction.
Note: values above are design-stage estimates assuming constant ICC over time, no secular trend beyond fixed period effects, and cross-sectional sampling within farm-periods. Simulation-based power verification is recommended before finalizing cluster count, especially with fewer than 30 clusters .
Stool is collected from all consenting workers at baseline (Month 1) and at each farm's Month 4 (3 months post-intervention for intervention arms; matched timepoint for Seq 1 control). Samples are processed via a two-tier approach:
Tier 1 β Multiplex qPCR panel (all samples): Targets: Norovirus GI/GII, Rotavirus A, Adenovirus 40/41, Astrovirus, Sapovirus, E. coli (stx1/stx2, eae, lt, st), Shigella/EIEC (ipaH), Salmonella (invA), Campylobacter jejuni/coli (hipO/glyA), Cryptosporidium (18S), Giardia lamblia (18S), Entamoeba histolytica (18S). Ct β€35 = positive; Ct 35β40 = indeterminate (counted as negative in primary, positive in sensitivity).
Tier 2 β Shotgun metagenomics (10% random subsample + all qPCR-positives for pathogen-level genotyping): DNA extraction (QIAamp Fast DNA Stool Mini Kit), Illumina NovaSeq 2Γ150bp, host-read removal with Bowtie2+GRCh38, taxonomic classification with Kraken2+Bracken, virulence-gene confirmation with ABRicate+VFDB, assembly-based genotyping of norovirus (VP1) and E. coli (serotype/WGS) with SPAdes+shovill.
Primary computational analysis (Python3/Snakemake):
glmer(agi ~ intervention + factor(period) + (1|farm), family=binomial), ITT, fixed period effects, random farm intercept; odds ratio with 95% CI.| Outcome | Model | Key Covariates | Primary/Secondary |
|---|---|---|---|
| AGI incidence (binary per person-week) | GLMM logistic | Intervention, period (fixed), farm (random) | Primary |
| Pathogen prevalence (binary per stool) | GLMM logistic, FDR q<0.10 | Intervention, period (fixed), farm (random), age, sex | Secondary |
| Pathogen load (logββ gc/g) | LMM | Intervention, period (fixed), farm (random) | Secondary |
| Water residual chlorine (mg/L) | Descriptive + compliance summary | β | Process |
| Soap station use (binary per observation) | GLMM logistic | Intervention, period (fixed), farm (random) | Process |
Sensitivity analyses: (a) Per-protocol (farms with β₯80% chlorine compliance); (b) Exclude Seq 1 control-period to test Hawthorne surveillance effects; (c) Lag model (1-week lag between intervention and effect); (d) Negative-control outcome (non-infectious injury) to detect residual confounding.
Assumptions requiring verification: (1) Control AGI incidence of 15%/person-week is a design assumption; if baseline is lower (e.g., 8%), the same 24 farms yield <50% power for a 50% relative reduction. (2) ICC=0.05 is borrowed from healthcare cluster trials; farm-level ICC for AGI may differ (shared meals, shared water source, animal contact). (3) Constant correlations over time are assumed by the analytical VIF framework; seasonality in enteric pathogens violates this and is modeled via fixed period effects but cannot be fully separated from step timing with only 4 periods. (4) The VIF_SWβ0.3 estimate assumes cross-sectional sampling; if the same workers are followed longitudinally (cohort design), individual-level correlation adds another layer . (5) Stool sampling at only two timepoints cannot capture transient pathogen carriage between samples; qPCR detects DNA from non-viable organisms (especially bacteria), potentially inflating prevalence. (6) No blinding of workers or field staff is feasible; outcome reporting (AGI symptoms) is self-reported and subject to reporting bias that may differ by intervention status (social desirability bias favoring the intervention).
What would disprove the design rationale: If baseline surveillance reveals farm-level AGI incidence <5%/person-week, the cluster count must increase to β₯48 farms for adequate power. If farm-level ICC exceeds 0.15, the design effect overwhelms the stepped-wedge efficiency advantage and a different randomization unit (e.g., household within farm) becomes necessary. If qPCR panel results show β₯80% pathogen positivity at baseline (polyparasitism), pathogen-specific effects will be confounded by co-infection and require multivariate pathogen models.
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