# Questions tagged [confidence-interval]

A confidence interval is an interval that covers an unknown parameter with $(1-\alpha)\%$ confidence. Confidence intervals are a frequentist concept. They are often confused with credible intervals which is the Bayesian analog.

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### Using the table, explain what the 95% confidence intervals mean for both age and sex.? [closed]

I just do not understand the ranges given for the 95% confidence intervals. For age, the range is 0.9 - 1.3. and for sex the range is 1.2-4.0. What does that mean?
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### GLMER, GHAQ and marginaled coefficients

I am confused about the GLMM procedures and their reporting. I have tried to follow @Ben Bolker on mixed effect model. However, I am confused after the GLMAdaptive approach. I will lay out my problem. ...
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### Confidence Interval of Coverage Probabilities

Does it make much sense to calculate confidence intervals for coverage probabilities? For instance, if a CI coverage probability is estimated to be 0.80, does computing an exact 95% binomial ...
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### Bootstrap estimation of variance and C.I. in cases with small group of outliers

I have a given quantity, say $y_a$ which parametrically depends on $a$ value. I consider $N$ values for the $a$ parameter and, for each one take multiple measures of the corresponding $y_a$ (say $N_a$ ...
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### Determining odds ratios and confidence intervals from R output of a proportional odds model (cumulative logit model)

I have a proportional odds model with R output as follows: ...
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### How to correctly word a frequentist confidence interval

I am aware that there are many, many threads on this (e.g. this excellent thread). I may have missed it but I can't seem to find one that actually explains how to accurately report a frequentist ...
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### Confidence intervals for multinomial models

I'm trying to figure out an extension to the answer given here the Effect() function only seems to work given 1 type of multinomial specification, where each row/...
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### How to adjust (bootstrapped) confidence intervals for multiple testing in R?

I am comparing effects of different resources by comparing slopes implemented by interaction terms in (generalized) linear mixed effects models e.g. with a negative binomial distribution and a log-...
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### Confidence intervals for mean response do not agree using predict.lm() in R

I have $n$ data points $y_i,x_i$ and the model $y_i=\alpha x_i^\beta + \epsilon_i$ where $\log{\epsilon_i} \in N(0,\sigma^2)$. Thus, I define $z_i=\log{y_i}$ and $w_i=\log{x_i}$ and my normal linear ...
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### Estimating population parameter from bootstrapped sample distribution, other than mean value

I'm a rather novice to statistics, so my terminology here might not be totally correct. But I will do my best to explain my question clearly. My question is about understanding whether it is making ...
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### fitting methods for data with bootstrap uncertainities

I have a set of dataset of $N$ couples , say $\{z\}_{i=1}^N$; $z_i = (x_i, y_i)$. The $\{x\}_{i=1}^N$ set has no uncertainities, while the $\{y\}_{i=1}^N$ set has, for each member an uncertainity ...
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### Confidence intervals of positive parameters reaching into negatives [duplicate]

Suppose I want to estimate the proportion parameter for a binomial distribution, and my method for constructing a 95% confidence interval (e.g. MLE +- 1.96 SDs) gives an interval of let's say (-.1, .3)...
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### Determine stratified sample size $n$ with confidence level 95%, if required $SE$ of the estimated mean is given

I need to calculate sample size $n$, so that $SE$ of the mean would be 4 points. There are $55$ units in total in the $I$ group. $N_2 = 80$ in the $II$ group and $N_3=65$ in the $III$ group. The ...
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### Interval Estimation for a Change in a Binomial Proportion

I'm not sure how to estimate the confidence interval (CI) for a change in a small sample size binomial proportion using the same sample set both times. I have two methods that I would like to compare (...
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### Why can't we say that the probability of the true parameter being within a 90% confidence interval is 90%? [duplicate]

I've been reading a bit about the confidence intervals on Wikipedia. The section on misunderstandings says: A 95% confidence level does not mean that for a given realized interval there is a 95% ...
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### Numerical integration of the exact distribution of the product of two random gaussian variables

I am trying to implement this function in R, which is equation (2) in this paper by Cui et al. (2016), which is the exact distribution of the product of two random gaussian variables. ...