IPHY 2500 Midterm: stats exam 3 condenced sheet
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Estimation: point estimation: using a single value from a sample to estimate a population parameter. Confidence intervals: using a range of values to estimate a parameter. Stating our confidence that an interval captures a parameter. Hypothesis testing: evaluating the likelihood of observing a specific statistic given an assumed value of the population parameter. Supporting or rejecting our assumption about the population parameters. Weakness of point estimation: even with a random sample, using a point estimate will result in some error due to sampling from a small fraction of the population (sampling error). Without quantifying the extent of estimation error, point estimates are of limited use. Interval estimation addresses this weakness by supplying information about the size of the error associated with the point estimate. Confidence interval: an interval of plausible values of the population parameter in addition to the level of confidence that the value of the parameter is included in the interval.