Confidence Intervals Vs Standard Error
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Confidence Interval Vs Standard Error Of The Mean
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Confidence Interval Vs Standard Error Of Measurement
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Confidence Interval Vs Standard Deviation
Stack Overflow the company Business Learn more about hiring developers or posting ads with us confidence intervals variance Cross Validated Questions Tags Users Badges Unanswered Ask Question _ Cross Validated is a question and answer site for people interested confidence intervals t test in statistics, machine learning, data analysis, data mining, and data visualization. Join them; it only takes a minute: Sign up Here's how it works: Anybody can ask a question Anybody can answer The best answers are http://www.healthknowledge.org.uk/e-learning/statistical-methods/practitioners/standard-error-confidence-intervals voted up and rise to the top Confidence intervals vs. standard deviation up vote 1 down vote favorite The 95% confidence interval gives you a range. The 2 sigma of a standard deviation also gives you a range of ~95%. Can someone shed some light on how they are different? confidence-interval standard-deviation share|improve this question edited May 9 '15 at 11:54 Andy 11.7k114671 asked May 9 '15 at 11:43 Berry 612 http://stats.stackexchange.com/questions/151541/confidence-intervals-vs-standard-deviation add a comment| 2 Answers 2 active oldest votes up vote 4 down vote There are two things here : The "2 sigma rule" where sigma refers to standard deviation is a way to construct tolerance intervals for normally distributed data, not confidence intervals (see this link to learn about the difference). Said shortly, tolerance intervals refer to the distribution inside the population, whereas confidence intervals refer to a degree of certainty regarding an estimation. In case you meant standard error instead of standard deviation (which is what I understood at first), then the "2 sigma rule" gives a 95% confidence interval if your data are normally distributed (for example, if the conditions of the Central Limit Theorem apply and your sample size is great enough). share|improve this answer edited May 9 '15 at 15:57 answered May 9 '15 at 12:23 Antoine R 485311 2 This doesn't appear to address the question itself, which asks for the distinction between a confidence interval and a "2 sigma ... range" (which is something that is closer to a tolerance interval). –whuber♦ May 9 '15 at 13:18 That's not how I understood the question : it seemed to me that it was unclear to the author why confidence intervals were not always construc
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opposed to a standard deviation? When plugging in errors for a simple bar chart of mean values, what are the statistical rules for which error to report? I guess the correct statistical test will render this irrelevant, but it would still be good to know what to present in graphs. Topics Graphs × 702 Questions 3,038 Followers Follow Standard Deviation × 238 Questions 19 Followers Follow Standard Error × 119 Questions 11 Followers Follow Statistics × 2,242 Questions 89,993 Followers Follow Nov 5, 2013 Share Facebook Twitter LinkedIn Google+ 4 / 1 Popular Answers Jochen Wilhelm · Justus-Liebig-Universität Gießen Very good advices above, but it leaves the essence of the question untouched. The CI is absolutly preferrable to the SE, but, however, both have the same basic meaing: the SE is just a 63%-CI. The SD, in contrast, has a different meaning. I suppose the question is about which "meaning" should be presented. The SD is a property of the variable. It gives an impression of the range in which the values scatter (dispersion of the data). When this is important then show the SD. THE SE/CI is a property of the estimation (for instance the mean). The (frequentistic) interpretation is that the given proportion of such intervals will include the "true" parameter value (for instance the mean). Only 5% of 95%-CIs will not include the "true" values. If you want to show the precision of the estimation then show the CI. However, there is still a point to consider: Often, the estimates, for instance the group means, are actually not of particulat interest. Rather the differences between these means are the main subject of the investigation. Such differences (effects) are also estimates and they have their own SEs and CIs. Thus, showing the SEs or CIs of the groups indicates a measure of precision that is not relevant to the research question. The important thing to be shown here would be the differences/effects with their corresponding CIs. But this is very rarely done, unfortunately. Nov 6, 2013 All Answers (7) Abid Ali Khan · Aligarh Muslim University I think if 95% confidence interval has to be defined. Nov 6, 2013 Ehsan Khedive Dear Darren, In a bar chart for mean comparison always the difference between groups implies the confidence interval. Besides, confidence interval is a product of standard error* T-student from the table with defined DF and alpha level. The difference between standard error and standard deviation is just a sqrt(n), in other words standard error obtain from dividing