# Questions tagged [error-propagation]

Methods for calculating errors of a function whose arguments have individual errors.

272 questions
Filter by
Sorted by
Tagged with
1 vote
13 views

### Error-Propoagation: Combine confidence intervals of two subsequent regressions

I have two subsequent regressions and want to combine the results of these two regressions. But I also want to show the increased uncertainty by somehow combining the confidence intervals of these two ...
• 111
17 views

### What is the error of the mean of data that have uncertainty values attached to them?

Given a set of $n$ values, the error associated with their average will be $$\text{standard deviation}/\sqrt{n}.$$ But if the values themselves have an uncertainty attached to them, such as $100\pm 1,$...
6 views

### Can I make replicates of an herbal extract, three measurements of the content for each replicate and measure the deviation based on the averages?

I made the extraction of flavonoids from a plant in triplicate. For each replicate of the extraction, I measured the total phenolic content in triplicate and averaged this value, as performed in ...
• 101
1 vote
50 views

### incorporating error in best fit line equation

I have two sets of data {X} and {Y} each element in those two sets has its own unique +/- error. I graphed x vs y in a scatter plot along with every point's error bar (both in x and y (x1 +/- a1 , y1 +...
• 21
1 vote
17 views

### T-test with replicate measurements, how to quantify error in the measurements?

I want to compare two tools, A and B. I use tool A to measure 10 very different objects, making 5 repeated measurements for each object so I can record an accurate value. I also do this with tool B. ...
• 11
36 views

### Statistical uncertainty on an Poisson distributed value estimated using Poisson distributed variables

Let's say I have the number of events in four regions in phase space. Where the regions are named: $A, B, C$, and $D$. These are Poisson distributed and not correlated with one another, and the number ...
34 views

### Error propagation for the median of time-series

Let's assume that we have a set of different measurements from an instrument of a parameter of a parameter P that changes with time during a time period t. Let's also assume that the measurements ...
29 views

### How to properly (extrapolate?) information from samples to wider areas?

I have 12 plots, which I want to compare in terms of biomass production (the dry weight of the plants that grow there) in g per m2 and in kg per hectare. Imagine that 6 of these plots are full covered ...
24 views

### Finding average error

Consider the following data: 20 +- 2, 25+-1, 30+- 3, 40+-1 If I have to find the average error, I can follow two methods: (2 + 1 + 3 + 1)/4 = 1.75 Sqrt (4 + 1+ 9 + 1 )= 3.9 Since, (20 + 25 + 30 + ...
1 vote
18 views

### Error on X having Y(X) greater equal to some constant A

There is a variable $Y(X)$ as a monotone increasing function of $X$, and there is an error data of $Y$. I want to find the minimum $X$, satisfying $Y(X)\geq A$. What will be the error on $X$ in this ...
7 views

### Best estimate of a variable from two observations with different efficiencies

Problem Suppose to measure the frequency of a certain rare event (e.g. particle count) with two instruments $I_1$ and $I_2$ for a time $\bar{t}$, the same for both instruments. We expect the same ...
• 153
1 vote
12 views

### Uncertainty of max and argmax of values with uncertainty

Given a sequence $y = [y_1 \pm \Delta y_1, y_2 \pm \Delta y_2, ..., y_N \pm \Delta y_N]$, how can you compute the maximum of $y$ with its associated uncertainty, and the value of the index $i$ at ...
• 31
22 views

### How to calculate the ratio of two means

I have ten subjects and they have e.g. a measure of height and a measure of mass. So for each individual there is a value for height/mass. I have group level statistics but not the individual data ...
• 201
17 views

• 101
9 views

• 13