# Output Weight Guidelines

## Overview

Each output type in the fairness audit orchestration has a **weight** that represents the relative effort required to generate it. These weights are used to calculate the total output load (O) in the orchestration formula.

## Weight Calculation

Weights are determined by:

1. **Processing Complexity**: How much computation is required?
2. **Data Volume**: How much data needs to be processed/generated?
3. **Format Complexity**: How complex is the output format?
4. **Dependencies**: Does it depend on other outputs?

## Output Types and Weights

### Lightweight Outputs (0.5 - 1.5 units)

#### Metrics Export (1.0 units)
- **Type**: `metrics-export`
- **Weight**: 1.0
- **Description**: Statistical parity difference, true positive rate, false positive rate metrics
- **Complexity**: Low - Simple calculations, small output
- **Dependencies**: None
- **Format**: JSON/CSV

#### Alert Configuration (0.8 units)
- **Type**: `alerts-config`
- **Weight**: 0.8
- **Description**: Automated alert rules for ongoing monitoring
- **Complexity**: Low - Rule generation, small output
- **Dependencies**: Metrics export
- **Format**: YAML/JSON

#### Detailed Report JSON (1.2 units)
- **Type**: `detailed-report-json`
- **Weight**: 1.2
- **Description**: Machine-readable detailed fairness analysis
- **Complexity**: Medium - Structured data, moderate size
- **Dependencies**: All metrics
- **Format**: JSON

### Medium Outputs (1.5 - 2.0 units)

#### Flagged Cases CSV (1.5 units)
- **Type**: `flagged-cases-csv`
- **Weight**: 1.5
- **Description**: Export of cases flagged for potential bias issues
- **Complexity**: Medium - Data filtering, CSV generation
- **Dependencies**: Fairness evaluation
- **Format**: CSV

#### Executive Summary Slides (2.0 units)
- **Type**: `exec-summary-slides`
- **Weight**: 2.0
- **Description**: Executive presentation slides with key findings
- **Complexity**: Medium-High - Data aggregation, slide generation
- **Dependencies**: All metrics, summary analysis
- **Format**: PowerPoint/PDF

#### Dashboard Export (1.8 units)
- **Type**: `dashboard-export`
- **Weight**: 1.8
- **Description**: Interactive dashboard with fairness metrics
- **Complexity**: Medium - Dashboard generation, visualization
- **Dependencies**: All metrics
- **Format**: HTML/Interactive

### Heavy Outputs (2.0 - 3.0 units)

#### Fairness Audit PDF (2.5 units)
- **Type**: `fairness-audit-pdf`
- **Weight**: 2.5
- **Description**: Comprehensive fairness audit report in PDF format
- **Complexity**: High - Full report generation, PDF formatting
- **Dependencies**: All analyses, metrics, findings
- **Format**: PDF

#### Compliance Report (2.2 units)
- **Type**: `compliance-report`
- **Weight**: 2.2
- **Description**: Regulatory compliance documentation
- **Complexity**: High - Regulatory formatting, documentation
- **Dependencies**: All analyses, audit trail
- **Format**: PDF/DOCX

## Weight Rationale

### Why These Weights?

1. **Metrics Export (1.0)**: Baseline weight
   - Simple calculations
   - Small output size
   - Fast generation

2. **Alert Configuration (0.8)**: Lighter than baseline
   - Minimal processing
   - Small output
   - Can reuse metrics

3. **Flagged Cases CSV (1.5)**: 50% more than baseline
   - Requires filtering logic
   - Moderate data volume
   - CSV generation overhead

4. **Detailed Report JSON (1.2)**: Slightly above baseline
   - Structured data compilation
   - Moderate complexity
   - JSON serialization

5. **Executive Summary Slides (2.0)**: 2× baseline
   - Data aggregation required
   - Slide generation complexity
   - Visual formatting

6. **Dashboard Export (1.8)**: Between medium and heavy
   - Dashboard framework overhead
   - Visualization generation
   - Interactive components

7. **Fairness Audit PDF (2.5)**: 2.5× baseline
   - Comprehensive report
   - PDF formatting complexity
   - Large output size

8. **Compliance Report (2.2)**: Slightly less than PDF
   - Regulatory formatting
   - Documentation requirements
   - Structured output

## Weight Adjustment Guidelines

### When to Increase Weight

- Output requires significant computation
- Large data volumes
- Complex formatting requirements
- Multiple dependencies
- Real-time processing needed

### When to Decrease Weight

- Simple calculations
- Small output size
- Reusable components
- Cached results available
- Parallel processing possible

## Example Scenarios

### Scenario 1: Minimal Outputs
- Metrics Export (1.0)
- Alert Configuration (0.8)
- **Total**: 1.8 units

### Scenario 2: Standard Audit
- Fairness Audit PDF (2.5)
- Metrics Export (1.0)
- Flagged Cases CSV (1.5)
- **Total**: 5.0 units

### Scenario 3: Comprehensive Audit
- All 8 outputs
- **Total**: 13.0 units

## Weight Validation

### Design Target Check

For input load I:
- **Target Output**: O ≈ 1.2 × I
- **Warning Threshold**: O > 1.5 × (1.2 × I)
- **Example**: If I = 100, target O = 120, warn if O > 180

### Total Load Check

- **Expected**: Total ≈ 3.2 × I
- **Warning**: Total > 1.3 × (3.2 × I)
- **Example**: If I = 100, expected total = 320, warn if total > 416

## Future Considerations

1. **Dynamic Weights**: Adjust based on actual performance
2. **Context-Aware**: Weights vary by dataset size
3. **Machine Learning**: Learn optimal weights from history
4. **Parallel Processing**: Reduce effective weights for parallel outputs

## Related Documentation

- [Orchestration Engine](./ORCHESTRATION_ENGINE.md)
- [Orchestration Design](./ORCHESTRATION_DESIGN.md)