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NOTES_Lecture 17_Continuous Probability Distributions

NOTES_Lecture 17_Continuous Probability Distributions - •...

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11/10/11 Lecture 18: Sampling Distributions (Part 1 of 5) Sampling Distributions o Probability distribution – for all the values how likely are they o Doesn’t take into account non-sampling errors o Explains to us how much sampling error there is o Sample median is discrete whereas the sample mean is continuous Finding Sampling Distributions Derive the Sampling Distribution o Parking Permit Example Discrepancy between 2 and 0.8 is not necessarily just sampling error (due to sampling error) Use sampling distribution to determine if there’s sampling error Sampling Distribution of Mean Discrete – only seven values of the mean Not symmetric On average sample mean is 0.8 – gives idea of population mean Variance determines how much variation – a measure of sampling error
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Unformatted text preview: • Population Distribution Sampling Distribution o Which has a bigger variance? Averages are less variable than the actual population Sampling distribution has more values clumped around mean o Chance sampling error caused X-bar = 2? Possible but not likely Statistically not plausible, only 0.8% chance Explanations • Non-sampling errors (Biased) • Population parameters not what town claimed (Town Lying) Sampling Distribution of Median • 3 possible medians • Find probability using multiplication rule encased in the addition rule (refer to Slide 8) • Based on the comparison of the two sample statistic the E{Median} is more subject to sampling error due to greater variation...
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