Questions tagged [standard-error]

Question 1

Note that I am performing a linear regression of a predictor variable $x_{i}$ with $i \in (1, 2 ..,m)$ on a response variable $y$ in a finite population of size $N_{t}$. Since the linear regression is ...

Question 2

In short, I want to understand how to estimate the error in calculating the average of a function on a random matrix. I expected to be able to use the standard error of the sample mean, but that hasn'...

Question 3

Something like this: $$z={r_1-r_2\over S}$$ $$S=\sqrt{S_1^2+S_2^2}=\sqrt{{(1-r^2)^2\over n_1-3}+{(1-r^2)^2\over n_2-3}}$$ and then obtaining $2\cdot P(Z>|z|)$ I understand that people prefer to ...

Question 4

I have a question regarding the formula of the Bias contained in the Mean Squared Error, more specifically about the denominator. I know that the MSE can be written as: MSE=(1/N)(sum(observed value i-...

Question 5

I have a time series of data for the heat absorbed by the ocean (in Joules) since the 1957, downloaded from the NASA website: The data consists of a series of measurements as well the standard error ...

Question 6

As part of an experiment, I independently throw $M$ balls with equal probability into $N$ bins, resulting in $m_i$ balls in the $i$th bin. I then randomly choose $n$ of those $N$ bins and sum the ...

Question 7

For example: $$\begin{array}{l} y = {x^{11}}\\ \Delta x = 0.1 \cdot x\\ \Delta y =\sqrt {\left( {\frac{{dy}}{{dx}}\Delta x} \right)^2} = 1.1 \cdot {x^{10}}\\ y \pm \Delta y = {x^{10}} \pm 1.1 \cdot {x^...

Question 8

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 ...

Question 9

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 ...

Question 10

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 $1.38e36, 3.45e33, 9.61e41$, ...

Question 11

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 ...

Question 12

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 ...

Question 13

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 ...

Question 14

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 ...

Question 15

In the calculation of the volume of a cube of nominal size $5$ inches, the uncertainty in the measurement of each side is $10\%.$ Find the uncertainty in the measurement of the volume. I tried solving ...

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Questions tagged [standard-error]

Correcting bias in covariance between a random variable and linear regression slopes from a finite sample

Estimating the error when averaging a function of a matrix over a collection of random matrices

Can we use Bonett's approximation to test whether two correlations are significantly different?

What is the formula of the bias contained in the Mean Squared Error?

Calculating the Uncertainty in a Rolling-Averaged Time Series

How to calculate standard error of a partial sum of balls in bins

Can a large error be calculated using logarithm?

Lower bound on sample size to determine coin fairness

How is it Possible to Optimize the Shichman-Hodges Slope Parameters from the Left and Right using Least Square Linear Regression Approaches

Cant find the error values correctly. Need Suggestions.

How to find the margin of error of a value consisting of the sum of 5 values? [closed]

standard error of an estimate of fraction of objects with a known binary probability

Compute Sample Size for Specific Margin of Error & Confidence Level

Standard error on subsample

In a cube of nominal size $5$ inches, the uncertainty in the measurement of each side is $10\%.$ Find the uncertainty in the measurement of the volume

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