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There is really no difference between the two words. Then a Bayesian probability interval (sometimes called a credible interval) is based on a.


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A confidence interval does not quantify variability. What's the difference? it is OK to ask about the probability that the interval contains the population mean.


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In statistics, a confidence interval (CI) is a type of estimate computed from the statistics of the Note this is a probability statement about the confidence interval​, not the population parameter. parameter for which the difference between the parameter and the observed estimate is not statistically significant at the 10% level".


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Confidence intervals give us a range of plausible values for some unknown value based on results from a sample. This topic covers confidence intervals for.


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But that is a very broad interval, so it is not much help. Instead let us look at 5 Β± 3, from 2 to 8, still a pretty broad interval, my confidence level is almost 98% still.


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Define confidence interval; State why a confidence interval is not the probability the interval contains the parameter. Say you were interested in the mean weight.


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Confidence intervals give us a range of plausible values for some unknown value based on results from a sample. This topic covers confidence intervals for.


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Define confidence interval; State why a confidence interval is not the probability the interval contains the parameter. Say you were interested in the mean weight.


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Often, this parameter is the population mean, which is estimated through the sample mean. The level C of a confidence interval gives the probability that the.


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Sign up or log in Sign up using Google. Home Questions Tags Users Unanswered. So, you may use probability for the sample mean or the confidence interval. Your question is a natural one and the answer is controversial, lying at heart of a decades-long debate between frequentist and Bayesian statisticians. The sample mean is also random. However, the sample is random. Question feed. Post as a guest Name. Sign up using Facebook. In a Bayesian approach to estimation, one establishes a probability framework for the experiment at hand from the start by choosing a "prior distribution. Email Required, but never shown. The best answers are voted up and rise to the top. Linked 1. Here is my attempt at an elementary explanation of these issues as they arise in your question. Ahmad Ahmad 1 1 silver badge 10 10 bronze badges. What is this difference between probability and confidence? Active Oldest Votes. I think probability is used for a random variable. Feedback post: New moderator reinstatement and appeal process revisions. But can a Bayesian say such statement in my question that the probability will be 0. Sign up to join this community. Hot Network Questions. There is no "probability" about it. Based on this distribution you can calculate the probability that the sample mean occurs in a specific distance from the distribution mean which is unknown. Active 1 month ago. Is it related to confidence intervals? Based on the Central limit theorem, the sample mean follows a Normal distribution when the sample size is enough large with a mean equal to the mean of the population. Probability vs Confidence Ask Question. Statistical inference is not mathematical deduction. Featured on Meta. Sign up using Email and Password. Viewed 9k times. Perhaps see this page. Related 0. New post lock available on meta sites: Policy Lock. There is really no difference between the two words. In a Bayesian setting, interval estimates are probability statements based on the posterior probability distribution. Is there an intuitive explanation for the difference? Others may have different views and post different explanations. It is just that the proper frequentist use of the word probability becomes awkward, and people have decided to use confidence instead. I want to say that in this case the confidence interval and probability are related and are obtained from a probability distribution, just the terminology causes using different names. Philosophical issues arise when one takes a bit of information in a sample and tries to make a helpful statement about the population from which the sample was chosen. Asked 3 years, 8 months ago. As shorthand for the previous part of this paragraph, it is customary to use the word confidence instead of probability. The confidence interval that you create based on the sample mean is also random.

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A difficulty Bayesian statisticians may have in helping nonstatisticians understand their interval estimates is to explain the origin and influence of the prior distribution.