Some changes to Chapter 7

Some changes to Chapter 7 - Chapter 7 The Two-Way Layout...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 7 The Two-Way Layout Some Changes to pages 9 – 12: 7.4 One-sided Comparisons of Treatments with Control Based on Friedman Rank Sums (Nemenyi, Wilcoxon – Wilcox, Miller) Used after rejecting the null hypothesis of no difference between treatment effects. Compares each treatment with a control group (call it treatment 1). Hypotheses of interest are Ho: τ u = τ 1 vs. Ha: τ u > τ 1 for all u = 2, 3, …, k with decision Rule: Decide τ u > τ 1 if (R u – R 1 ) ≥ r* α . Or Ha: τ u > τ 1 for all u = 2, 3, …,k with decision rule τ 1 < τ u if (R 1 – R u ) ≥ r* α . Example: Use the hydrobromide data of the example on page 3 (copied below) to test whether any of the hydrobromides produce a higher average number of hours of sleep per night that does the “no hypnotic,” i.e., treatment A. Patient A B C D 1 0.6 (1) 1.3 (2) 2.5 (4) 2.1 (3) 2 1.1 (1.5) 1.1 (1.5) 5.7 (3) 5.8 (4) 3 2.5 (1) 6.2 (2) 8 (3) 8.2 (4) 4 2.8 (1) 3.6 (2) 4.4 (4) 4.3 (3) 5 2.9 (1) 4.9 (2) 6.3 (3) 6.4 (4) 6 3.0 (2) 1.4 (1) 3.8 (3) 4.4 (4) R j (7.5) (10.5) (20) (22) We are interested in testing Ho: τ u = τ 1 vs. Ha: τ u > τ 1 , for all u = 2, 3, 4 simultaneously. From Table A25, with n = 6, k = 4 and α = 0.0404, we find Hence we will decide τ u > τ 1 if R u – R 1 ≥ 10. Show that,
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

Some changes to Chapter 7 - Chapter 7 The Two-Way Layout...

This preview shows document pages 1 - 2. Sign up to view the full document.

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