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Confidence interval considers the entire data series to fix the band width with mean and standard deviation considers the present data where as prediction interval is for independent value and for future values.

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Q: When comparing the 95 percent confidence and prediction intervals for a given regression analysis what is the relation between confidence and prediction interval?
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Does the population mean have to fall within the confidence interval?

No. For instance, when you calculate a 95% confidence interval for a parameter this should be taken to mean that, if you were to repeat the entire procedure of sampling from the population and calculating the confidence interval many times then the collection of confidence intervals would include the given parameter 95% of the time. And sometimes the confidence intervals would not include the given parameter.


If the standard deviation is doubled what will be the effect on the confidence interval?

The confidence intervals will increase. How much it will increase depends on whether the underlying probability model is additive or multiplicative.


What is confidence intervals in statistics?

The Confidence Interval is a particular type of measurement that estimates a population's parameter. Usually, a confidence interval correlates with a percentage. The certain percentage represents how many of the same type of sample will include the true mean. Therefore, we would be a certain percent confident that the interval contains the true mean.


When the sample size is large valid confidence intervals can be established for the population mean irrespective of the shape of the underlying distribution?

Yes, but that begs the question: how large should the sample size be?


Comparing the means of two normal distribution?

You can compare the means of two dependent or independent samples. You can also set up confidence intervals. For independent samples you test the claim that the two means are not equal; the null hypothesis is mean1 equals mean2. The alternative hypothesis is mean1 does not equal mean2. For dependent (paired) samples you test the claim that the mean of the differences are not equal; the null hypothesis is the difference equals zero; the alternative hypothesis is the difference does not equal zero.

Related questions

What has the author Esa I Uusipaikka written?

Esa I. Uusipaikka has written: 'Confidence intervals in generalized regression models' -- subject(s): Regression analysis, Linear models (Mathematics), Statistics, Confidence intervals


What are the Statistics in pathology?

confidence intervals


What is Confidence Intervals of Degree of Confidence?

, the desired probabilistic level at which the obtained interval will contain the population parameter.


How hypothesis testing and the use of confidence intervals are the same?

They are related but they are NOT the same.


What is meant by the term confidence intervals?

Confidence intervals represent a specific probability that the "true" mean of a data set falls within a given range. The given range is based off of the experimental mean.


Does the population mean have to fall within the confidence interval?

No. For instance, when you calculate a 95% confidence interval for a parameter this should be taken to mean that, if you were to repeat the entire procedure of sampling from the population and calculating the confidence interval many times then the collection of confidence intervals would include the given parameter 95% of the time. And sometimes the confidence intervals would not include the given parameter.


How do the confidence intervals affect a business decision?

If you are a good business man then they don't.


What is the term used in Confidence intervals to refer to twice the margin of error?

Length


What is Confidence Intervals of Interval Estimate?

An open interval centered about the point estimate, .


In a study using 9 samples and in which the population variance is unknown the distribution that should be used to calculate confidence intervals is?

In a study using 9 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is


What are the 3 confidence intervals?

There are an infinite number of confidence intervals; different disciplines and different circumstances will determine which is used. Common ones are 50% (is the event likely?), 75%, 90%, 95%, 99%, 99.5%, 99.9%, 99.99% etc.


What is Confidence Intervals of Standard Error?

The standard deviation associated with a statistic and its sampling distribution.