# Ch.7 - Ch. 7: Using Statistics for Inference and Estimation...

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Ch. 7: Using Statistics for Inference and Estimation Monday, May 30, 2011

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“Inferential Statistics” – Estimating population from statistics obtained from a sample Monday, May 30, 2011
Estimators • An unbiased estimator – The value obtained from samples equals the value in the population • A biased estimator – The value obtained from samples does not equal the value in the population 3 Monday, May 30, 2011

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• X vs. μ The sample mean is a point estimator of μ – Over the long run, a sample mean is an unbiased estimator of μ For any sample size ( N ), the mean of the sample means = population mean Monday, May 30, 2011
How do I know that the mean of all sample means equals the population mean when I don’t know the population mean? You can demonstrate this using a very small population Four scores: 2, 4, 6, 8 Monday, May 30, 2011

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Pick a sample size (e.g., N = 2) Calculate each possible sample mean you could obtain. These are called the “sampling
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## This note was uploaded on 10/26/2011 for the course SLL 330 taught by Professor Damare during the Spring '10 term at USC.

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Ch.7 - Ch. 7: Using Statistics for Inference and Estimation...

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