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September 11, 2007

Confidence Intervals and SHypothesis Tests

Both CI and HT are based on a statistical inference, which is that the variance of the estimator can be inferred from the data even though we have just one observation on the estimator.

There is a close connection between the univariate normal distribution with an estimated mean and the regresion model with estimated parameters.

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One-tailed and two-tailed hypothesis tests:

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We discussed the difference between regression parameters and correlation/covariance.

Zero correlation does not imply independence:

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Correlations/covariance between pairs of variables, in isolation, do not give us the information in regression parameters. For example, going to college basketball games could appear to affect income.

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Deriving a confidence interval:

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The explanation of precisely what confidence intervals mean would be better for colored chalk.

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Posted by bparke at September 11, 2007 09:35 PM

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