# Questions tagged [measurement-error]

Measurement error is the difference between a measured value of a quantity and its true value.

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9 views

### How to fit simulated and measured data having systematic errors?

Consider a given time series of measured data and consider a simulation - consisting of a model, possibly fed with some parameters estimated a priori (not via the measured data) - which gives another ...
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### Basic question about measurement errors in Design of Experiments

After reading and applying many examples of DoE I have a question that has been bugging me and haven't found an answer so far. Usually what we see in an example or publication is the design table with ...
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### Accuracy of sliding window in ARIMA models

I have 245 daily stock returns with some explanatory variables. I will compare the ARIMA and ARIMAX models with some basic machine learning techniques. The training periods will be 30, 60, 90, 120 and ...
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### Correct way to combine 95% confidence interval bounds returned by a fitting routine with several measurements?

I am looking for someone to just confirm / double-check something for me with regards to errors on measurements. Let's say I am trying to determine the slope of a relationship by varying one quantity ...
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### What are the signs of noisy labels in a dataset?

When learning a classification model in supervised machine learning, how can we test whether the labels in the dataset are noisy or not? Is there any particular way to check it or any specific sign to ...
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### Help understanding error bars based on MAD

I "inherited" an existing codebase for statistical analysis of microscopy images that I would like to translate to more modern frameworks (read Matlab -> Python). I've come across the ...
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### Description of how the count of binary patches and their size is affected by noise?

In acoustics, signals can be represented as a matrix $M$ in time, frequency, and amplitude. Obviously the signal we want to describe is always superposed over other noise, $N$: One way to analyze ...
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### What would be a good method to compare the results from my model to actual measurement data?

I have a complex physical model of an engine and I get certain outputs for a given set of inputs. However, these outputs are of course, not exact and deviate from the physically observed values for ...
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### Question about latent variables in Co-integration Regression

I have a question about cointegration regression models as follows: Is it common to have latent variables or regressors with measurement error in the cointegrating regression model? Is it highly ...
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### Including measurement precision in a bayesian linear model

I'm using Jags to fit a Bayesian linear regression to a dataset. The model is: N[i]∼N(μ[i],τ) with precision τ and mean: ...
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### Accounting for errors in measurement instead of measurement error?

I have a question regarding whether or not a certain type of statistical model exists. What I need to model is an error of measurement, and not measurement error in the sense of what I've generally ...
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### What loss function should I use?

With a toy neural network, I'm trying to predict a series, which has a problem. The serie is reported cases of coronavirus, but the cases are not reported the day they are detected. Part of the values ...
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### Include measurement uncertainty into model evaluation

I want to build a model, that learns how to predict a continuous variable $0\leq y\leq 0$ from input data $X$. I have a training dataset with pairs of $(X_i, y_i)$ to build that model. Nothing special....
113 views

### Instrument accuracy necessary to distinguish two values

Let's say I want to know the size of some shoes, but the size isn't marked. The real size could be any of [35,36,37...50 cm], and the shoes are made so well that their real size is exactly one of ...
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### linearity of a measurement device

I like to evaluate the linearity of a measurement system. In order to do so I read ISO 22514-7 as well as Breyfogle's "Implementing six sigma". However, the procedure is still unclear to me. So I'm ...
64 views

### Error bars in a population and subtracting two populations with different error bars

Suppose I want to measure a physical quantity. Let's say that $N$ trials were performed each with individual outcome $x_i,\quad i\in (1,N)$. Then obviously the outcome of the experiment would be the ...
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### Can I use RMSE as a percentage of error

I'm hoping someone can verify my assumption. I am building a regression model against an outcome variable which is a percentage. After tuning, the model outputs an RMSE estimate which I've looked to ...
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### comparison between two measurement devices

I have two measurement devices accelerometer A and B. The measurement is the step time of a person walking in a corridor. A is the gold standard. I want to check the validity and reliability of B. how ...
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### Should one account for absolute precision producing variable number of significant digits in a dependent variable measurement? If so how?

Sometimes data for a variable are available in absolute precision, which can create different numbers of significant digits. For example, the CDC's estimates of state prevalences and incidence rates ...
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### Median or mode for measurements with erroneous outliers

Background: I am working with real measurements that likely contain two sources of error, (1) measurements that were performed incorrectly, and (2) natural variability of the measured quantity and ...