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2 votes
1 answer
2k views

How to calculate the standard deviation of a sample and its 95% CI if I know the variance and its 95% CI?

I apologize if my question is extremely simple, but you know my name. I have only the variance of a sample and its 95% confidence intervals, nothing more, nothing less. Please correct me if I am ...
statisticianwannabe's user avatar
1 vote
0 answers
87 views

What are meaningful ways to interpret Monte Carlo-simulated non-normal data?

My question relates to Confidence Interval (CI) calculation of Monte Carlo-simulated non-normal data As answers and comments to that question show the confidence interval for the given distribution ...
ye-ti-800's user avatar
  • 113
2 votes
0 answers
2k views

How to appropriately scale confidence intervals

Suppose I have a point estimate and its standard deviation: $\mu_1 = 0.3$ ($\sigma_1 = 0.1$). I know sample size $n_1 = 100$, so its Wald CI is $[0.3 - 1.96 \times 0.1/10 = 0.28, 0.3 + 1.96 \times 0.1/...
Adrian's user avatar
  • 2,909
0 votes
1 answer
24 views

How does the individual variance of a match of a game affect long term stat confidence?

I play a 1v1 game mode where opponents shoot a giant football at each others goal. I wish to increase my shots defended decimal. ...
Jack Robson's user avatar
1 vote
0 answers
568 views

Python forestci.random_forest_error return negative value

After running a out sample prediction using randomforestregressor, I need to construct a confidence interval for the predictions. The rational behind it is to give the business side a sense of what ...
A.Mills's user avatar
  • 11
1 vote
1 answer
1k views

Why do we include the variance of $\epsilon$ for the variance of predicted values? (normal linear models)

Suppose I have a normal linear model $Y = X\boldsymbol{\beta}+\epsilon$, $\epsilon \sim N(0,\sigma^{2}I_{n})$. Given covariates $x_{*}$ and estimated parameter vector $\hat{\boldsymbol{\beta}}$, I ...
python_learner's user avatar
3 votes
1 answer
4k views

Variance estimator of Bernoulli RV (in CI)

Assume n samples from Bernoulli distribution with unknown parameter p, i. e. $x_{1},....,x_{n}\underset{iid}{\sim}Ber\left(p\right)$ It is known that the confidence interval is given by: $CI=\hat{...
RiskyMaor's user avatar
  • 232
0 votes
1 answer
93 views

Evaluating A/B test using confidence intervals

I have a situation where I worked on two different flavors of a website say A and B (using some fictitious numbers for illustration). For A the amount of time spent by users went up by 1% for 1 ...
user3079275's user avatar
2 votes
1 answer
373 views

How to obtain variance of proportion given its point estimate and 95% CI

Suppose I have a proportion estimate and 95% CI: 0.39 (0.28, 0.58), how would I obtain the variance? Typically 95% CIs are defined as $0.39 \pm 1.96\cdot SE = (0.28, 0.58)$. And suppose I know that ...
Adrian's user avatar
  • 2,909
0 votes
0 answers
223 views

Narrow confidence interval for variance

When we have an estimate of the variance $s^2$ obtained from $n$ observations, $x_1, x_2, \dots, x_n$, we can calculate a 95% confidence interval of the true variance $$\left( \frac{(n-1)s^2}{\chi^2_{...
user67275's user avatar
  • 1,097
3 votes
2 answers
948 views

Confidence interval for one-sample effect size: effect of uncertainty of variation?

I have a one sample t-test (against null-hypothesis value 0) for which I would like to calculate the confidence interval on Cohen's d. I know the formula for Cohen's d (sample mean minus zero all ...
Amorphia's user avatar
  • 913
1 vote
1 answer
355 views

Confidence Interval derivation

I am predicting a "yearly cumulative variable" from monthly results. I use $Y_j = \sum_{i=1}^j (X_i) / f_i$ where $j$ is the current month. I know the $f$ from history; e.g. January = .073, ...
Jeff's user avatar
  • 11
0 votes
1 answer
97 views

Intuition for estimating population standard deviation

I know how to estimate population standard deviation using a chi square distribution, but I don't know why it works. I'd like to have an intuition for the why. I've tried googling around. I always ...
Adam Zerner's user avatar
2 votes
1 answer
129 views

Variance Ratio Test in Minitab

I have two samples, each of size 18 observations. In the first, the SD is 10 and in the second it is 3. I wish to test the hypothesis that the variance ratio is 4, vs. the alternative that it is not 4,...
user3275222's user avatar
4 votes
1 answer
2k views

How can I obtain the 95% confidence interval for the variance of a random effect?

After running a linear mixed model, I want to obtain the 95% confidence interval for the variance estimation of my random effect. The function confint() in R gives ...
wisc88's user avatar
  • 315

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