# Questions tagged [standard-error]

For basic questions in statistics involving the properties or use of standard error of the sample points present in a simple random sample.

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### Calculating Standard Error (SE) of a Nonlinear Function Using SE of Its Parameters

I'm working with a nonlinear function, specifically a beta weighting scheme, which generates weights that can vary in shape (e.g., decaying, hump-shaped, U-shaped). I have estimates for the parameters ...
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### Standard error of mean from in varying sample size for batch simulations

I have three batches of simulations and I calculate a specific property from these (not important for the question). I want to calculate combined SEM for these three batches Batch | #samples | average ...
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### Confidence interval 100 coin tosses, 52 heads?

I am really confused about the confidence interval for n=100 tosses and k=52 heads. If I estimate the probability $\hat{p}$: $\hat{p} = \frac{52}{100} = 0.52$ $Var(\hat{p}) = pq = 0.52 * 0.48 = 0.2496$...
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### Lower bound on sample size to determine coin fairness

This is a conclusion I came to through very basic knowledge of statistics and error analysis. Suppose we want to determine the fairness of a coin. To do this, we need to determine the probability of ...
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### Estimation of std error using sample std dev. will result in diff. sample statistic distribution for diff. samples. Won't this affect our decision?

During hypothesis testing (say, comparison of sample mean to a hypothesised population mean), we calculate p-value using sample mean distribution. For constructing this sample mean distribution, we ...
1 vote
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### How is it Possible to Optimize the Shichman-Hodges Slope Parameters from the Left and Right using Least Square Linear Regression Approaches

The Shichman-Hodges equations model a curve that on the left-hand side has a slope that decreases as a function of the variable $x_i$. That is $x_0=0$, and $y_i$ is a function of $x_i$ for $i=0$, and ...
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### How can I calculate the SD from the SE of a least square mean?

I am conducting a meta-analysis and I need to collect mean and standard deviations (SDs). In some studies the raw means are not available and least square means are provided instead. Is there a way to ...
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### Cant find the error values correctly. Need Suggestions.

I have 6 observational data. $L_1,L_2,L_3,L_4,L_5$ and $L$. Each of them have seperate error values $\delta L_i$ and $\delta L$. All of these data are numbers such as $1.38e36, 3.45e33, 9.61e41$, ...
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### How to find the margin of error of a value consisting of the sum of 5 values? [closed]

I have a $X$ value that is the sum of 5 different $x1,x2,x3,x4$, and $x5$ values. Eacn $x_i$ has their error in same scale. I want to calculate the error of X. How can i do that? Basically, i tried to ...
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### standard error of an estimate of fraction of objects with a known binary probability

Lets have a group of N people that can be either men M or women W (or in general objects that can be 0 or 1). For each person $i$ we have an estimate of probability $P_i$ from <0,1> that it is ...
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### Compute Sample Size for Specific Margin of Error & Confidence Level

I have a population that is in size equals to 65,536. The population follows a uniform distribution and is composed of discrete, ordered integer numbers. From this population I wish to identify the ...
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### Estimate standard error of population proportion based on one sample

There is a basket with unknown number of red balls ($N_r$) and green balls ($N_g$). I draw a random sample of $k$ balls without replacement and see that $P_r$ of the balls are red and $P_g$ of the ...
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### Why does multicollinearity increase the standard error of regression coefficients?

I understand the intuition that it is difficult to distinguish the effect of two independent variables on the dependent variable when they are highly correlated, but I don't see how this works its way ...
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### Standard error on subsample

Suppose that I know that $N$ samples $(x_1, x_2,...,x_N)$ are iid drawn from a distribution with known variance $\sigma^2$. I also observe the first $k<<N$ samples, and estimate the mean on ...
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### Calculating with constants with tolerance

I have a formula. LogC= (LogA - 0.80 * LogB - 8.40)/0.50 However, all these constants 0.80, 8.40 and 0.50 have +/- tolerances which are not equal. Respectively, +0.13/-0.15, +4.55/-4.20, +0.12/-0.20. ...
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1 vote
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### Find the number of measurements so that our iuncertainty is less than 2%

The results of a certain experiment whose true value is about 10.0 cm, follow a normal distribution with standard deviation of 1.0 cm. How many measurements will we have to do so that our uncertainty ...
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### Confusion about the import of the standard error

The standard error is defined: $$SD(\bar{X}) = \frac{\sigma}{\sqrt{n}}$$ where $\sigma$ is the standard deviation of the population and $n$ is the sample size. In the book I'm reading, it seems to ...
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1 vote
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### $\varepsilon_{ij} \in \mathcal{N}(0,\sigma^2)$. What can we say about the third moment?

the errors $\varepsilon_{ij}$ are independent $\mathcal{N}(0,\sigma^2)$ random variables. What can we say about the third moment? For example, is $\mathbb{E}(\varepsilon_{ij}^3)$ bounded? I really ...
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### Ridge regresssion on a Echo State network

I am working with this article:http://www.scholarpedia.org/article/Echo_state_network on echo state networks. Here they speak about a ridge regression for the ESN. Normally the outputweight matrix ...
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### Getting the wrong expression for standard error

Here is the question: To estimate the proportion $p_1$ of male voters who are in favor of expanding the use of solar energy, take a random sample of size $m$ and set $X$ for the number in favor. To ...
1 vote
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### Average of Relative Error (Relative Error of a Sequence)

I have a sequence of ground truth and a sequence of measured values. Ground truth sequence: 4,5,3 Measured values sequence: 5,4,5 I would like to ...
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### Instrument resolution or Standard Error of the mean

Say I tried to measure the length of an object with an instrument that has a resolution of of 0.1mm and got the following: 12.5,12.5,12.5,12.5,12.5,12.5,12.5,12.5, 12.5,12.5 (all in mm). The standard ...
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### Help understanding the formula for relative error of a multivariable function

I am studying error theory. I don't understand from where does $\ln$ appear at the end Consequently, the marginal absolute error of the approximated value of the function $y^*$ is calculated by the ...
1 vote
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### logit and probit models

Basic background Hi, I'm relatively new to statistics and mathematics stack exchange so please bear with me. I'm trying to learn about the probit and logit models where the observables $y$ can only ...
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### Standard deviation formula for coefficients in multiple regression analysis

I am trying to understand how to calculate the individual deviation in this regression analysis table. $(HH Size)_{se} =$ $stderr \over \sqrt{S_{xx}}$ $=$ ${0.444400903 \over \sqrt{10}} = 0.14053$ ...
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