# 4 Estimation - provides a rough estimate of the 95%...

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5 10 15 20 25 0.5 1 1.5 2 X = 13.5 s 2 = 12.1 _ X Sample size 10 from Normal distribution with μ =13 and ! 2 =16 Frequency ! Sample size 10 from Normal distribution with μ =13 and ! 2 =16 5 10 15 20 25 0.5 1 1.5 2 X = 13.3 s 2 = 13.0 _ X Sample size 10 from Normal distribution with μ =13 and ! 2 =16 5 10 15 20 25 0.5 1 1.5 2 X = 11.9 s 2 = 28.3 X n = 10 !

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Sampl e size 100 5 10 15 20 25 2 4 6 8 10 12 X = 13.0 s 2 = 15.6 X Frequency ! Sampl e size 1000 5 10 15 20 25 20 40 60 80 100 X = 12.9 s 2 = 16.3 X n = 100 ! Sample means of gene sizes !
The standard error of an estimate is the standard deviation of its sampling distribution. The standard error predicts the sampling error of the estimate. Standard error of the mean ! Y = n Estimate of the standard error of the mean SE Y = s n Confidence interval The 95% confdence interval provides a plausible range For a parameter. All values For the parameter lying within the interval are plausible, given the data, whereas those outside are unlikely. !

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The 2SE rule-of-thumb The interval from - 2 to + 2 "
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Unformatted text preview: provides a rough estimate of the 95% conFdence interval for the mean. ! SE Y SE Y Y Y Confidence interval US counties with high kidney cancer death US counties with low kidney cancer death Pseudoreplication The error that occurs when samples are not ! independent, but they are treated as though they are. ! Example: The transylvania effect A study of 130,000 calls for police assistance in 1980 found that they were more likely than chance to occur during a full moon. ! Example: The transylvania effect A study of 130,000 calls for police assistance in 1980 found that they were more likely than chance to occur during a full moon. ! Problem : There may have been 130,000 calls in the data set, but there were only 13 full moons in 1980. These data are not independent . !...
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## This note was uploaded on 04/16/2010 for the course MATHEMATIC 1231 taught by Professor Driscoll during the Spring '10 term at Clayton College of Natural Health.

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4 Estimation - provides a rough estimate of the 95%...

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