The Mann-Whitney U test is a non-parametric alternative to the student's t- test and measures the likelihood that a randomly selected value from sample set 1 will be significantly different from a randomly selected value from sample set 2. When testing for a significant lowering in the value of a parameter in sample set 2, the U test counts the total number of occasions for which any value in set 2 is higher than any value in set 1. The null hypothesis can be rejected if the calculated U value so derived is less than or equal to a test statistic. Use the Mann-Whitney U test to determine if protein precipitation has significantly reduced the concentration of Mg* ions in six independent samples of human blood plasma (see the data in Table 1 below and then answer all four questions a) to d)). Table 1 Concentration of Mg in ug/ml in human plasma prior to protein precipitation Concentration of Mg* in ug/ml in in human plasma after protein precipitation 10.0 9.0 9.4 7.0 7.7 6.4 8.3 8.0 9.6 6.2 10.2 7.6 а) What are the benefits of using a non-parametric test such as the Mann- Whitney U test relative to a parametric test such as the student's t- test? b) What is the null hypothesis for the protein precipitation treatment experiment?
The Mann-Whitney U test is a non-parametric alternative to the student's t- test and measures the likelihood that a randomly selected value from sample set 1 will be significantly different from a randomly selected value from sample set 2. When testing for a significant lowering in the value of a parameter in sample set 2, the U test counts the total number of occasions for which any value in set 2 is higher than any value in set 1. The null hypothesis can be rejected if the calculated U value so derived is less than or equal to a test statistic. Use the Mann-Whitney U test to determine if protein precipitation has significantly reduced the concentration of Mg* ions in six independent samples of human blood plasma (see the data in Table 1 below and then answer all four questions a) to d)). Table 1 Concentration of Mg in ug/ml in human plasma prior to protein precipitation Concentration of Mg* in ug/ml in in human plasma after protein precipitation 10.0 9.0 9.4 7.0 7.7 6.4 8.3 8.0 9.6 6.2 10.2 7.6 а) What are the benefits of using a non-parametric test such as the Mann- Whitney U test relative to a parametric test such as the student's t- test? b) What is the null hypothesis for the protein precipitation treatment experiment?
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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Transcribed Image Text:Q6.
The Mann-Whitney U test is a non-parametric alternative to the student's t-
test and measures the likelihood that a randomly selected value from
sample set 1 will be significantly different from a randomly selected value
from sample set 2. When testing for a significant lowering in the value of a
parameter in sample set 2, the U test counts the total number of occasions
for which any value in set 2 is higher than any value in set 1. The null
hypothesis can be rejected if the calculated U value so derived is less than
or equal to a test statistic.
Use the Mann-Whitney U test to determine if protein precipitation has
significantly reduced the concentration of Mg* ions in six independent
samples of human blood plasma (see the data in Table 1 below and then
answer all four questions a) to d)).
Table 1
Concentration of Mg* in ug/ml in
human plasma prior to protein
precipitation
Concentration of Mg* in ug/ml in in
human plasma after protein
precipitation
10.0
9.0
9.4
7.0
7.7
6.4
8.3
8.0
9.6
6.2
10.2
7.6
a)
What are the benefits of using a non-parametric test such as the Mann-
Whitney U test relative to a parametric test such as the student's t-
test?
b)
What is the null hypothesis for the protein precipitation treatment
experiment?
Transcribed Image Text:c)
What is the U statistic for the reduction in concentration of Mg+ ions
in the six samples of human plasma after protein precipitation?
d)
Given that the test statistic for p = 0.05 is 7, determine if the protein
precipitation treatment significantly reduced the concentration of Mg2+
ions at 95% confidence.
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