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another way to look at this could be to compare a study done on a particular medicine, when study is on a small group of participants versus a large group the results must be shown as proportional and can only be relevant as they are calculated as how many are made well to how many do not receive any favorable results. Many times when a study is done on the effects of a substance on another it must be shown that the margin of error is proportionate to the study. As for instance the drug which conquered polio was simply a vaccine made of the polio virus and had great affects on the disease. Although there was a margin of error that the US government felt was acceptable to allow the drug to be forcibly injected in all children of the late 50's.
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How do sample size confidence level and standard deviation affect the margin of error?
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Why does the effect-size calculation use standard deviation rather than standard error?
The goal is to disregard the influence of sample size. When calculating Cohen's d, we use the standard deviation in teh denominator, not the standard error.
Is the margin of error always greater than or equal to the standard of error?
Yes
If standard deviation 20 and sample size is 100 then standard error of mean is?
2
Can the margin of error be determined if only the confidence level is known?
No, more information is needed to determine the margin of error. For example, one may need to know the sample's mean, the sample size, and the standard deviations of the population and sample. Depending on the type of test one is performing, certain parameters need not be known. For example, the population standard deviation does not need to be known in a one sample T-test.
What happens to the confidence interval as the standard deviation of a distribution increases?
The standard deviation is used in the numerator of the margin of error calculation. As the standard deviation increases, the margin of error increases; therefore the confidence interval width increases. So, the confidence interval gets wider.
What is the difference between standard deviation and margin of error?
Standard of deviation and margin of error are related in that they are both used in statistics. Level of confidence is usually shown as the Greek letter alpha when people conducting surveys allow for a margin of error - usually set at between 90% and 99%. The Greek letter sigma is used to represent standard deviation.
How do sample size confidence level and standard deviation affect the margin of error?
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Why is standard deviation of a statistic called standard error?
The standard error is the standard deviation divided by the square root of the sample size.
What is the difference between standard error of mean and standard deviation of means?
Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.
Why is the standard error a smaller numerical value compared to the standard deviation?
Let sigma = standard deviation. Standard error (of the sample mean) = sigma / square root of (n), where n is the sample size. Since you are dividing the standard deviation by a positive number greater than 1, the standard error is always smaller than the standard deviation.
The standard deviation of a point estimator is called the?
standard error
Will the standard error always be lower than the standard deviation?
No.
Can standard deviation equal standard error?
If n = 1.
What if the standard deviation is negative?
There is a calculation error.
Is standard deviation same as standard error?
From what ive gathered standard error is how relative to the population some data is, such as how relative an answer is to men or to women. The lower the standard error the more meaningful to the population the data is. Standard deviation is how different sets of data vary between each other, sort of like the mean. * * * * * Not true! Standard deviation is a property of the whole population or distribution. Standard error applies to a sample taken from the population and is an estimate for the standard deviation.
How do you find the sample size if you are given the confidence interval and the margin of error as well as the standard deviation?
You can't. You need an estimate of p (p-hat) q-hat = 1 - p-hat variance = square of std dev sample size n= p-hat * q-hat/variance yes you can- it would be the confidence interval X standard deviation / margin of error then square the whole thing
