What is standard error? Another way to represent variation is the standard error

Question

What is standard error? Another way to represent variation is the standard error of the mean. This value gives an approximation of how close a sample mean is to the true population mean. In contrast, variance and standard deviation tell you about the amount of variation in the data - there is a subtle but important difference. What two values are used to calculate standard error? What affects standard error? Calculate the standard error for richness of epiphytes on sycamore trees, as above, where the first five samples have 2, 6, 3, 5, 4 species. Then calculate for ten samples: 2, 6, 3, 5, 4, 2, 6, 3, 5, 4 species. Compare the standard errors of the samples of N-5 and N = 10. Consider the example of minnow body length discussed on p. 314-351 (Investigating the Evidence 14: Standard error of the mean). The sample from which site has the smaller standard error, and why? You have already read that the standard error tells you how close your sample mean is to the true mean of the population, which is different than a calculation simply of the variation in your data. Now let's explore standard error further. One way to understand the standard error is the distribution you would get if you repeatedly and instantaneously returned to your study population, subsampled it and estimated the mean. The standard deviation represents variation around a single estimate of the mean, whereas the standard error represents variation in many estimates of the mean. As an example, imagine that you could repeat the minnow study

Explanation / Answer

7) Standard error is defined as : SD / sqrt (n)

SD = Standard deviation

n = sample size

8)

a) Standard error DECREASES with sample size.

b) Standard error decreases as the size of the sample increased and not because numbers are overall closer to mean

c) TRUE

d) TRUE

9) this requires information from a different question which is not provided over here.

Hope this helps. Ask if you have doubts.

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