5. A researcher is conducting a study on the palliative care of patients at a specific facility to determine how their chronic pain symptoms change after entering the palliative care environment. This study is aimed at determining the effectiveness of a standardized treatment protocol for the patients entering into the palliative care environment. To do this, the researcher is comparing the pain scores of individuals before treatment and after treatment. Set up a Wilcoxon signed-ranks test and interpret it at the alpha equals .05 level. Patient Before Treatment After Treatment Value of Differences Ordered Absolute Values of Differences Ranks Sign Rank 1 9 4 5 1 -1 -1 2 10 5 5 2 2 +2 3 7 3 4 3 3 +3 4 8 5 3 4 5 +5 5 6 7 -1 4 5 +5 6 9 5 4 4 5 +5 7 6 4 2 5 8 +8 8 7 3 4 5 8 +8 9 9 4 5 5 8 +8 We reject H0 in favor of H1, which states the median difference in pain scores before and after treatment are not equal because 1 is less than the critical value 6 for a Wilcoxon signed-ranks test with a population of only 9 individuals. We reject H0 in favor of H1, which states the median difference in pain scores before and after treatment are not equal because 1 is greater than the critical value 6 for a Wilcoxon signed-ranks test with a population of only 9 individuals. We fail to reject H0, which states the median difference in the pain scores before and after treatment are equal because 40 is less than the critical value 6 for a Wilcoxon signed-ranks test with a population of only 9 individuals. We fail to reject H0, which states the median difference in the pain scores before and after treatment are equal because 40 is greater than the critical value 6 for a Wilcoxon signed-ranks test with a population of only 9 individuals

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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5. A researcher is conducting a study on the palliative care of patients at a specific facility to determine how their chronic pain symptoms change after entering the palliative care environment. This study is aimed at determining the effectiveness of a standardized treatment protocol for the patients entering into the palliative care environment. To do this, the researcher is comparing the pain scores of individuals before treatment and after treatment. Set up a Wilcoxon signed-ranks test and interpret it at the alpha equals .05 level.

Patient	Before Treatment	After Treatment	Value of Differences	Ordered Absolute Values of Differences	Ranks	Sign Rank
1	9	4	5	1	-1	-1
2	10	5	5	2	2	+2
3	7	3	4	3	3	+3
4	8	5	3	4	5	+5
5	6	7	-1	4	5	+5
6	9	5	4	4	5	+5
7	6	4	2	5	8	+8
8	7	3	4	5	8	+8
9	9	4	5	5	8	+8

We reject H₀in favor of H_1, which states the median difference in pain scores before and after treatment are not equal because 1 is less than the critical value 6 for a Wilcoxon signed-ranks test with a population of only 9 individuals.
We reject H₀in favor of H_1, which states the median difference in pain scores before and after treatment are not equal because 1 is greater than the critical value 6 for a Wilcoxon signed-ranks test with a population of only 9 individuals.
We fail to reject H_0, which states the median difference in the pain scores before and after treatment are equal because 40 is less than the critical value 6 for a Wilcoxon signed-ranks test with a population of only 9 individuals.
We fail to reject H_0, which states the median difference in the pain scores before and after treatment are equal because 40 is greater than the critical value 6 for a Wilcoxon signed-ranks test with a population of only 9 individuals.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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