Nonparametric Inference and Bootstrap Intro to
Bootstrap
Heike Hofmann
October 23, 2013
Fall 2013
stat 415
October 23, 2013
1 / 15
Outline of Presentation
1
Bootstrap situation
2
Sampling is Bootstrap
3
Unkown distribution F
4
First excursion
Fall 2013
st
Nonparametric Inference and Bootstrap Wilcoxon vs
Sign test; Q-Q plots
Heike Hofmann
October 8, 2013
Fall 2013
stat 415
October 8, 2013
1 / 17
Outline of Presentation
1
Warm-up example
2
Approximate results and continuity correction for Wilcoxon
3
Wilcoxo
Nonparametric Inference and Bootstrap Wilcoxon
Signed Rank test
Heike Hofmann
October 6, 2013
Fall 2013
stat 415
October 6, 2013
1 / 18
Outline of Presentation
1
Power
2
Average relative eciency
3
Wilcoxon Signed Rank test
4
Condence interval
5
Approximat
Nonparametric Inference and Bootstrap Comparison of
tests
Heike Hofmann
October 3, 2013
Fall 2013
stat 415
October 3, 2013
1 / 13
Outline of Presentation
1
Sample distribution
2
Warmup Question
3
Mini-excursion into exploratory data analysis
4
Power
5
Ave
Nonparametric Inference and Bootstrap A permutation
test
Heike Hofmann
September 29, 2013
Fall 2013
stat 415
September 29, 2013
1 / 12
Outline of Presentation
1
Example of a Binomial test
2
Binomial test
Fall 2013
stat 415
September 29, 2013
2 / 12
An Exa
Nonparametric Inference and Bootstrap Order
Statistics
Heike Hofmann
October 2, 2013
Fall 2013
stat 415
October 2, 2013
1 / 18
Outline of Presentation
1
Warmup question
2
Order statistics: minimum, maximum, median, interquartile range
3
Empirical distribu
Nonparametric Inference and Bootstrap Q-Q plots;
Kolmogorov test
Heike Hofmann
October 11, 2013
Fall 2013
stat 415
October 11, 2013
1 / 17
Outline of Presentation
1
Q-Q plots
2
Warm-up example
3
Kolmogorov-Smirnov Test
4
Lilliefors test for normality
Fall
Nonparametric Inference and Bootstrap Matched Pairs
Heike Hofmann
October 15, 2013
Fall 2013
stat 415
October 15, 2013
1 / 10
Outline of Presentation
1
Warmup example
2
Matched Data
3
Testing
4
Examples
Fall 2013
stat 415
October 15, 2013
2 / 10
Warmup Ex
Intro to Visual Inference
Is what we see really there?
stat 415
Fall 2013
Outline
Problem of inference from plots
Lineup Protocol
Examples
What do you see?
Toth et al. Proc. R. Soc. B
2010 277, 2139-2148
Wasp Data:
40 randomly selected
signicant oligos
Nonparametric Inference and Bootstrap Bootstrap
Condence Intervals
Heike Hofmann
October 25, 2013
Fall 2013
stat 415
October 25, 2013
1 / 15
Outline of Presentation
1
Warmup
2
Bootstrap repeat
3
Bias and what we can do against it
4
Percentile Bootstrap C.
Nonparametric Inference and Bootstrap
Wilcoxon-Mann-Whitney
Heike Hofmann
October 16, 2013
Fall 2013
stat 415
October 16, 2013
1 / 10
Outline of Presentation
1
Wilcoxon
2
Mann-Whitney
Fall 2013
stat 415
October 16, 2013
2 / 10
Wilcoxon-Mann-Whitney
actua
Nonparametric Inference and Bootstrap Intro to 415
Heike Hofmann
September 29, 2013
Fall 2013
stat 415
September 29, 2013
1 / 14
Outline of Presentation
1
Intros
2
Syllabus
3
What is Nonparametric Inference? Bootstrap?
Fall 2013
stat 415
September 29, 201