id: 06617841
dt: j
an: 2016e.00914
au: Farnsworth, David L.
ti: Impact of misclassification on estimation of a single proportion.
so: Math. Comput. Educ. 50, No. 2, 109-113 (2016).
py: 2016
pu: MATYC Journal, Old Bethpage, NY
la: EN
cc: K70
ut: measurement errors; stochastics; probability theory; conditional
probability; random variable; binomial distribution; misclassification
probabilities; error probabilities; confidence interval; estimation
theory; statistical inference; point estimates
ci:
li:
ab: From the text: Measurement errors are a constant problem to experimenters
yet they are little mentioned in elementary statistics courses. On a
topic separate from Bayes Rule, misclassification rates can and should
enter our calculation when estimating a proportion. The formulation is
in a binomial setting, and we use the large-sample normal-distribution
approximation. We present a point estimator and a confidence interval
for a single proportion when there might be misclassifications. The
analysis is surprisingly simple and can be introduced at any level
statistics course. The ideas can be used in the classroom or in easily
constructed exercises.
rv: