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Standard error is an indicator of the expected level of variation from the predicted outcome in an estimate. So even though the mean is mostly likely the outcome, the actual range the outcome could call into is a region which is measured by the standard error.
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What does the standard error of the difference between means mean?
An estimate for the mean of a set of observations is just that - an estimate. Another set of observations will give a different estimates. These estimates for the mean will have a distribution which will have a standard error. If you have two sub-populations, the mean of each sub-population will have a standards error and the se of the difference between the means is a measure of the variability of the estimates of the difference.A typical school work example: the heights of men and of women. There will be a mean height for men, Hm, with a se for men's heights and a mean height for women, Hw, with its own se. The difference in mean heights is Hm - Hw and which will have an estimated se.
The purpose and function of standard error of measurement?
the purpose and function of standard error of mean
The level of significance is the maximum allowable of what?
Type I error.
Is the standard error of the sample mean assesses the uncertainty or error of estimation?
yes
Is the margin of error always greater than or equal to the standard of error?
Yes
What is one important consequence of reducing standard error of the mean?
Estimates of the mean are then more reliable.
Why is the sample standard deviation used to derive the standard error of the mean?
the sample mean is used to derive the significance level.
What is Hypothesis Testing of Test Statistic?
The standard score associated with a given level of significance.
Difference between standard error and sampling error?
Standard error is random error, represented by a standard deviation. Sampling error is systematic error, represented by a bias in the mean.
What does the standard error of the difference between means mean?
An estimate for the mean of a set of observations is just that - an estimate. Another set of observations will give a different estimates. These estimates for the mean will have a distribution which will have a standard error. If you have two sub-populations, the mean of each sub-population will have a standards error and the se of the difference between the means is a measure of the variability of the estimates of the difference.A typical school work example: the heights of men and of women. There will be a mean height for men, Hm, with a se for men's heights and a mean height for women, Hw, with its own se. The difference in mean heights is Hm - Hw and which will have an estimated se.
What is the relationship of the standard error of the mean to the standard error of the difference?
It would help to know the standard error of the difference between what elements.
Is accuracy or precision related to standard error?
Standard error is a measure of precision.
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 happens to the standard error of the mean if the sample size is decreased?
The standard error increases.
The purpose and function of standard error of measurement?
the purpose and function of standard error of mean
How does sample size affect the size of your standard error?
The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.The standard error should decrease as the sample size increases. For larger samples, the standard error is inversely proportional to the square root of the sample size.
What is the standard error of the sampling distribution equal to when you do not know the population standard deviation?
You calculate the standard error using the data.
