# Questions tagged [standard-error]

Refers to the standard deviation of the sampling distribution of a statistic calculated from a sample. Standard errors are often required when forming confidence intervals or testing hypotheses about the population from which the statistic was sampled.

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### Calculating mean confidence intervals from a sample with low SEM

Given that: I. The distribution of means of large enough samples converge to a normal distribution (by CLT) II. The Standard Error of the Mean (SEM) of a sample approaches the Standard Deviation (SD) ...
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1 vote
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### Spatial Error Model vs Conley standard errors

What is the difference (pros and cons) of using an OLS with conley standard errors and a spatial error model? Is there a recommendation for when you should use one over the other? Thanks!
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### Frisch-Waugh-Lovell Theorem: Different standard errors

The Frisch-Waugh-Lovell theorem states that the b1 vector (and e vector) in Y = X_1 * b_1 + X_2 * b_2 + e are equal to the b* vector (and e* vector) in M_2 * Y = M_2 * X_1 * b* + e*, with M_2 = I - ...
1 vote
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### Propagation of standard error of fit through to the average and standard deviation of replicates

I am using an equation to fit measured data. I have measured multiple replicates for each condition, each of which is then individually fitted to this equation. Once the data are fitted I obtain a ...
937 views

### Standard Error of the cumulative value for time series

I have two time series, as in the picture below. The data was gathered experimentally. A practical example could be a measured mass flow rate, where I measure the mass flow rate over a certain time ...
25k views

1 vote
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### Why Does Standard Error for Individual Predictors Not Increase in Multilevel Modeling?

I have been trying to teach myself multilevel modeling through R and I am relying on the W. Holmes Finch book. According to them, and any resources in general, not doing multilevel modeling causes an ...
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### Standard Errors for Numerical Optimization using Chi-Square Objective Function

I am using a minimum chi-square estimator technique to estimate a set of parameters using some sample data (essentially, finding what set of model parameters minimize the difference between observed ...
815 views

### multiple regression coefficients - Standard error of intercept

I am implementing an R-type summary() function in python with the restriction to exclude use of scientific libraries. (assignment) I found this https://www.nd.edu/~rwilliam/stats1/x91.pdf material ...
282 views

### Should we always minimize squared deviations if we want to find the dependency of mean on features?

It is known that for any distribution a minimization of squared deviations from a value $c$ gives mean of the distribution. In other words, if we generate many values $y_i$ using our distribution, and ...
220 views

### How to correct standard errors for heterogeneity and intra-group correlation?

I got my article manuscript back from review and one notion from a reviewer was that in my analyses "[s]tandard errors are not corrected for heterogeneity or intra-group correlation", s/he apparently ...
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### 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 ...
1 vote
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### Bootstrap Standard Error vs Standard Error from sample

For doing inference of a population parameter from a sample, under which examples is better to calculate the standard error using bootstrap distribution of the mean than directly using the standard ...
3k views

### Appropriate error bars for repeated-measurements designs

I conducted a t-test / ANOVA (both repeated measurements) and I want to represent the difference in the mean via a bar graph. There are several different views about the appropriate error bars for ...
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### Calculation of the standard deviation of the power in dB

I wanted to find out the stability of my system so for that i calculated standard deviation of power samples data which is in dB but I am not sure whether i have used correct formula or not. As far as ...
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### Error bars on error bars?

Inspired by my recent attendance at an environmental toxicology conference, I have the following question about error bars: Let's say that I'm drawing samples from some unknown distribution, with ...
1 vote
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### Is it logical to report standard deviation of the coefficient of Regression model?

I had determined the coefficient for the variables using Multinomial Logit model. The software reported coefficient, t-value and standard error for the variable. One of my senior want to include ...
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### Standard error between experiments

I need to open a new question regarding the already largely discussed "standard error". I have performed twice the same experiment on the same area. Each experiment includes the measurements ...
287 views

### Interpreting standard error for dummy variables in linear regression models

Is there any way to interpret the standard error of dummy variables created to represent a categorical variable in a linear regresion model? I saw a great mathematical explanation here, but I am still ...
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### Is it safe to say that this set of data is constant with x because of their standard deviation?

Is it safe to say that Y does not change with X because if you take the mean of Y and calculate the standard deviation all of the values fall with 1 standard deviation ?
1 vote