# Uncertainty Analysis Calculator AI Agent Connect

> Quantify measurement uncertainty using statistical propagation and distribution rules.

## Overview
- **Category:** science
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_nZJrh3RrgFjzecOrrYZLXiPV13ae9jqg7obcVjXD/ai-agent-connect
- **Tags:** uncertainty, statistics, measurement, metrology, analytical-chemistry

## Description

This MCP server provides specialized tools for calculating measurement uncertainty in analytical results. It handles both Type A uncertainty, derived from statistical analysis of repeated measurements, and Type B uncertainty, derived from external information like calibration certificates. Users can use `evaluate_type_a_uncertainty` to process observation sets, `evaluate_type_b_uncertainty` for distribution-based estimates, and `calculate_combined_uncertainty` to aggregate all sources using the root sum of squares method. Finally, `calculate_expanded_uncertainty` allows for the determination of confidence intervals using specific coverage factors.

## Tools

### calculate_combined_uncertainty
Calculates the total combined standard uncertainty from a list of provided uncertainty sources

### calculate_expanded_uncertainty
Calculates the expanded uncertainty to provide a confidence interval

### evaluate_type_a_uncertainty
Converts a set of repeated measurement observations into a standard Type A uncertainty

### evaluate_type_b_uncertainty
Converts external information into a standard Type B uncertainty

## Prompt Examples

**Prompt:** 
```
Calculate the Type A uncertainty for these measurements: 10.1, 10.2, 10.1, 10.3.
```

**Response:** 
```
The standard uncertainty is 0.0816, with a mean of 10.175 and a standard deviation of 0.0957.
```

**Prompt:** 
```
Convert a Type B uncertainty of 0.05 with a rectangular distribution into standard uncertainty.
```

**Response:** 
```
The standard uncertainty for a rectangular distribution with a value of 0.05 is 0.0289.
```

**Prompt:** 
```
Find the expanded uncertainty if the combined standard uncertainty is 0.05 and the coverage factor is 2.
```

**Response:** 
```
The expanded uncertainty is 0.1.
```

## Frequently Asked Questions

**What is the difference between Type A and Type B uncertainty?**
Type A uncertainty is calculated from the statistical analysis of a series of observations, while Type B uncertainty is based on non-statistical information such as manufacturer specifications or calibration data.

**How do I calculate the total uncertainty from multiple sources?**
You can use the `calculate_combined_uncertainty` tool. It takes a list of individual standard uncertainties and applies the root sum of squares method to find the total combined uncertainty.

**What coverage factor should I use for a 95% confidence interval?**
A coverage factor of 2 is commonly used to provide approximately 95% confidence when using the `calculate_expanded_uncertainty` tool.