# note15 - Chapter 5 Tests for Trends and Association 6...

This preview shows pages 1–6. Sign up to view the full content.

Chapter 5: Tests for Trends and Association 6. Contingency Tables with Ordered Categories alternatives to the χ 2 statistic when there is an ordering among the cate- gories of one or both factors in a contingency table Singly Ordered Tables the categories of one of the factors is ordered numerical labels with increasing ordering Wilcoxon rank-sum test with ties when the unordered factor has two categories Not Somewhat Very satisfied satisfied satisfied Physician-prescribed 2 2 0 Self-administered 0 1 2 H 0 : no difference between the two methods of pain relief H a : the self-administered dose will be more satisfactory Level of Satisfaction with Pain Relief Physician-prescribed 1,1,2,2 Self-administered 2,3,3 ---------------------------------------------------------- Permutation Chi-square test: Number of the random permutations: R= 5000 Chi-square of original data: chi-square= 4.277778 estimated p-value for Chi-square test= 0.3132 ---------------------------------------------------------- 1

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

View Full Document
---------------------------------------------------------- Mann-Whitney-Wilcoxon test: Exact Wilcoxon rank sum test data: pp and sa W = 1, p-value = 0.08571 alternative hypothesis: true mu is less than 0 ---------------------------------------------------------- ---------------------------------------------------------- Permutation Test with Rank Sum Rank sum for trt: 11 p-value: 0.08571429 ---------------------------------------------------------- -------------------------------------------------------- Jonckheere-Terpstra Permutation Test -------------------------------------------------------- Number of all possible permutations: 35 JT_obs: 10 p-value= 0.086 -------------------------------------------------------- 2
Kruskal-Wallis test with ties when the unordered factor has more than two categories Ratings of the chief Academic Officer at Hypothetical State Uni- versity Poor Fair Good Very Good Excellent (1) (2) (3) (4) (5) College A 6 4 3 2 0 College B 2 2 3 2 1 College C 1 2 3 4 2 H 0 : The ratings of the chief academic officer of College A, B and C are the same ---------------------------------------------------------- Pearsons’ Chi-square Test with approximation: Pearson’s Chi-squared test data: data.mat X-squared = 7.0231, df = 8, p-value = 0.5341 Warning message: In chisq.test(data.mat) : Chi-squared approximation may be incorrect ---------------------------------------------------------- College A 1,1,1,1,1,1,2,2,2,2,3,3,3,4,4 College B 1,1,2,2,3,3,3,4,4,5 College C 1,2,2,3,3,3,4,4,4,4,5,5 ---------------------------------------------------------- Kruskal-Wallis Test with approximation: Kruskal-Wallis rank sum test data: College by College.ind Kruskal-Wallis chi-squared = 6.4283, df = 2, p-value = 0.04019 ---------------------------------------------------------- 3

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

View Full Document
Double Ordered Tables the categories of both factors are ordered Jonckheere-Terpstra with ties Level of Insect Damage for Each of Three Treatments Response/Treatment Severe Moderate Slight None (1) (2) (3) (4) A 10 12 13 30 B 9 9 11 35 C 7 8 12 43 H 0 : τ A = τ B = τ C H a : τ A τ B τ C ---------------------------------------------------------- Pearsons’ Chi-square Test with approximation: Pearson’s Chi-squared test data: trt.mat X-squared = 4.9649, df = 6, p-value = 0.5483 ---------------------------------------------------------- ---------------------------------------------------------- Kruskal-Wallis Test with approximation: Kruskal-Wallis rank sum test data: Insect by Insect.ind Kruskal-Wallis chi-squared = 3.9586, df = 2, p-value = 0.1382 ---------------------------------------------------------- -------------------------------------------------------- Jonckheere-Terpstra Permutation Test -------------------------------------------------------- Number of Permutation: 5000 JT_obs: 5253 p-value= 0.026 -------------------------------------------------------- 4
Odds Ratio

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern