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Questions tagged [measurement-error]

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

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3 views

How to extract systematic errors from data

I am a bit confused about estimating the systematic error (I think it is systematic) from an experiment. Here is a (simplified) description of it. Assume that 2 groups measure the length of a cube ...
9 views

Parametric (p = a +vt) version of a model into betas interpretation [on hold]

I am working on an error-in-error model (McLean 2014), where it is possible to include the correlations between uncertainties in the model. This model is formulated in a parametric form as follows: ...
23 views

WMAPE / WAPE for the evaluation of time series with positive and negative values

I have a time series y that has both positive and negative that I want to predict. For the prediction I normalize the values to a range between 0 and 1. If I give ...
11 views

Error weighting in two point regression analysis [closed]

I have following problem: I do measurements of the formation of a product at two time points (t=0 and t=15), each in triplicates. Afterwards I calculate the mean value + the standart deviation of ...
16 views

Comparing the precision of two sources of estimates, about things in two different categories

Suppose we have two machines. Each machine measures things in a particular category. For example, one measures the weight of cars, and the other measures the weight of butterflies. We have available ...
17 views

Errors on the mean

I have some data points from a measurement of a given quantity, and each point has an error associated to it. I want to report as the final value the mean of the measurements, but I am not sure what ...
42 views

Weighting data based on the errors

I have some data (counts) with a Poisson error associated with them and I want to fit the data. I am trying to weight the data inversely proportional to the errors, such that the data points with high ...
47 views

How do I correctly estimate the size of a subpopulation using noisy observations?

To preface this question: please comment on whether my description of the problem is missing details or the problem itself is not well-posed as I'm seeing a lot of views but no activity. I am trying ...
70 views

Retrodiction / Specific filter to obtain initial state

Problem I have a system that is measured at regular intervals. The state of the system at those times is given by the vector $\vec x=(x_0, x_1, x_2,\cdots)$. In between each measurement, a random ...
25 views

Bootstrapping mean of measurements when measurements have error

I have two small data sets (n < 15) that are not normally distributed. Each measurement in the two datasets was experimentally determined and has an uncertainty associated with it. I'd like to use ...
26 views

How can I model this?

I have a question about whether I can model in a way that solves this problem: Suppose a swimming coach has 100 athletes and only cares about the distance they can each swim in 5 minutes. From this, ...
14 views

If measurement error is only for a specific group do you avoid bias by controlling for that group?

I am running regressions to estimate the impact of health conditions on life satisfaction. I have read a paper that showed that there is likely to be measurement error in the self-reported health ...
10 views

How to compare two, time based, measurements of the same object

I have 2 rounds of measurements from a set of 10 capacitors. The measurements are with respect to frequency and are all measured at the same 200 frequencies between 1 kHz and 5 MHz. The data is not ...
10 views

Standard error of correlated time series with observational error

I've got a some time series for which all data points have some measurement error. I want to compute a confidence interval of the standard error of the mean. I know how to compute and approximate the ...
19 views

have many error likelihoods, how to combine to get a confidence or p value?

I'm working in bioinformatics and its been a long time since I dusted on my statistics. Basically I'm working on variant calling which amounts to sequencing a large number of sequence reads and ...
12 views

how to evaluate or fulfill required accuracy for regression aka precision of estimation?

Maybe there is already a question similar to mine but there are so many involving the term accuracy and at least none, except of How to evaluate instrumentation accuracy? , didn't seem "very" similar. ...
20 views

Identify difficult parameter to measure [closed]

I am using different tools to measure x on some objects. The tools were tested on a small set of objects for which the true x is known. And so the predicted values were found to not be accurate for ...
12 views

27 views

Is non-sampling error included in hypothesis testing assumptions?

I understand that, in hypothesis testing, we are dealing with sampling error. We calculate the statistic from the sample data and test what the probability of getting that result is when the null ...
33 views

Which correction do I need to get a measurement uncertainty from the sample standard deviation?

I'm an experimental physicist who mainly needs statistics for the calculation of measurement uncertainties and confidence intervals. Since my results are usually normally distributed, I simply take $N$...
12 views

When making a fit to data without weights, how reliable are the fit errors?

I often need to fit data which is a spectrum. And it isn't possible to have many identical spectrum from which to produce error bars on the individual points in an averaged spectrum. So my question ...
24 views

Does this mean my model is useless?

Long story short, I have a random forest I've created. It's mean absolute error is .209 for the test set. The (scaled) standard deviation of the y column is .201 (for all the y column data, not just ...
277 views

Using regression weights when $Y$ might be measured with bias

Suppose we observe data $Y, X$ and would like to fit a regression model for $\mathbf{E}[Y \,|\, X]$. Unfortunately, $Y$ is sometimes measured with a systematic bias (i.e. errors whose mean is nonzero)....