Statistics/Summary, Study Guide and Formulas

From Wikibooks, open books for an open world
< Statistics
Jump to: navigation, search

THIS PAGE IS INCOMPLETE, DO NOT USE THIS AS YOUR SOLE REFERENCE.


One and two-sample Estimation Problems[edit]

Term Formula Definition Notes Subject
A Statistic \hat{\Theta}
Unbiased estimator \mu_{\hat{\Theta}} {{=}} E(\hat{\Theta}) {{=}} \theta of parameter  \theta
most efficient estimator estimator with smallest variance
sample size confidence that error less than e when sample size is n {{=}} ( { z_{\alpha/2} \sigma \over e })^2
confidance interval  \bar{x}-z_{\alpha/2} {\sigma \over \sqrt{n}} < \mu < \bar{x} + z_{\alpha/2} {\sigma \over \sqrt{n}}