Lecture02

Lecture02 - Applied Nonparametrics STA 4502/5507 Yiyuan She...

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Applied Nonparametrics STA 4502/5507 Yiyuan She Department of Statistics, Florida State University Fall 2009 Possible Course Flow Estimating success probabilities Single location: estimates, tests, intervals Two locations: testing, estimating di erences between locations Scale comparisons Multiple locations and factors Independence Nonparametric regression Other topics ... Binomial Test Observe outcomes of n trials Assumptions Independent Success / failure Identical Test H : p = p p a speci ed value in (0, 1) Use a test statistic B = number of successes Binomial Test One-sided alternative H 1 : p > p For a speci ed level of signi cance , get critical value b = P (reject H j H true) = Type I error Table A.2 in NSM or pbinom in R Reject H if B b Binomial Test One-sided alternative H 1 : p < p For a speci ed level of signi cance , get critical value c Reject H if B c If p = 1 = 2, symmetry gives c = n b Binomial Test Two-sided alternative H 1 : p 6 = p Reject H if B b 1 or B c 2 = 1 + 2 Usually, 1 = 2 = = 2 Binomial Test pbinom(q, size, prob, lower.tail=T) pbinom(2, 5, 0.4, lower.tail=T) is P ( B 2) where there are n = 5 trials and success probability is 0.4 pbinom(2, 5, 0.4, lower.tail=F) is P ( B > 2) = 1 P ( B 2) Note P ( B > 2) = P ( B 3) Default is lower.tail=T Binomial Test ?pbinom for documentation Density, distribution function, quantile function and random generation for the binomial distribution with parameters size...
View Full Document

Page1 / 28

Lecture02 - Applied Nonparametrics STA 4502/5507 Yiyuan She...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online