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Nonparametric Statistical Methods

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J
jayamartha

This document summarizes several nonparametric statistical tests that can be applied to ordinal or nominal data and do not require assumptions about the population distribution. It discusses the sign test, Wilcoxon signed-rank test, Kruskal-Wallis test, Spearman rank correlation, and provides examples of applying each test. The examples analyze consumer preferences, delivery times, investment risk ratings, and determine if there are differences or correlations between groups or variables.

Educación
1 de 26
Pertemuan 15 STATISTIKA NON PARAMETRIK Hdi Nasbey, M.Si Jurusan Fisika Fakultas Matematika dan Ilmu Pemgetahuan Alam
Learning Outcomes ,[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Outline Materi ,[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Nonparametric Methods ,[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Nonparametric Methods ,[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Sign Test ,[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Example: Peanut Butter Taste Test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Example: Peanut Butter Taste Test ,[object Object],[object Object],[object Object],[object Object], 2.74 Sampling distribution of the number of “+” values if there is no brand preference  = 15 = .5(30) 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Example: Peanut Butter Taste Test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Wilcoxon Signed-Rank Test ,[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Example: Express Deliveries ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Example: Express Deliveries ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Wilcoxon Signed-Rank Test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Example: Express Deliveries ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Example: Express Deliveries ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Sampling distribution of T if populations are identical 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |     19.62  T = 0 T
Example: Express Deliveries ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Kruskal-Wallis Test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Rank Correlation ,[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Rank Correlation ,[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Test for Significant Rank Correlation ,[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Rank Correlation ,[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Example: Connor Investors ,[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Example: Connor Investors ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Example: Connor Investors ,[object Object],[object Object],[object Object],[object Object], r = 0 r s Sampling distribution of r s under the assumption of no rank correlation 01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
Example: Connor Investors ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
[object Object],01/02/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |

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Nonparametric Statistical Methods

  • 1. Pertemuan 15 STATISTIKA NON PARAMETRIK Hdi Nasbey, M.Si Jurusan Fisika Fakultas Matematika dan Ilmu Pemgetahuan Alam
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