Biostatistical Methods - Statistics project Paper

Biostatistical Methods - Statistics project Paper

peer-reviewed article with statistical analysis on childhood obesity

Week 2: Project Assignment This assignment focuses on nonparametric methods. When a researcher is not in a situation to be able to assume parametric statistical methods requirements, known distribution, or dealing with small sample size, then nonparametric statistical methods need to be used, which make fewer assumptions about the distributional shape. Use Minitab Software. Nonparametric Methods In this assignment, we will use the following nonparametric methods: • The Wilcoxon signed-rank test: The Wilcoxon signed-rank test is the nonparametric test analog of the paired t-test. • The Wilcoxon rank-sum test or the Mann-Whitney U test: The Wilcoxon rank-sum test is an analog to the two-sample t-test for independent samples. For each exercise, there will be a sample problem that shows how the calculations are done and the problems for you to work on. Part 1: Wilcoxon Signed-Rank Test Let's take a hypothetical situation. The World Health Organization (WHO) wants to investigate whether building irrigation systems in an African region helped reduce the number of new cases of malaria and increased the public health level. Data was collected for the following variables from ten different cities of Africa: • The number of new cases of malaria before the irrigation systems were built • The number of new cases of malaria after the irrigation systems were built Table 1: Cases of Malaria City Before After 1 110 55 2 240 75 3 68 15 4 100 10 5 120 21 6 110 11 7 141 41 8 113 5 9 112 13 10 110 8 Using the Minitab statistical analysis program to enter the data and perform the analysis, complete the following: • Run a sample Wilcoxon signed-rank test to show whether there is a statistically significant difference between the number of cases before and after the irrigation systems were built. • Obtain the rank-sum. • Determine the significance of the difference between the groups. • Determine whether building these systems helped reduce new cases of malaria. In addition, in a Microsoft Word document, provide a written interpretation of your results in APA format.

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Refer to the Assignment Resources: Wilcoxon Signed-Rank Test Example to view an example of the Wilcoxon signed-rank test. The same resource is also available under lecture Nonparametric Methods. Part 2: Wilcoxon Rank-Sum Test Let us consider another hypothetical situation. The WHO wants to compare the mortality rates of children under the age of five years of underdeveloped and developed regions of the world. There were two independent samples of ten countries from each of the groups drawn at the same time, and the yearly mortality rates of children under the age of five years (per 100,000) inhabitants were reported (MRate1 and MRate2). Table 2: Mortality Rates of Children Country MRate1 MRate2 1 120 11 2 110 9 3 105 13 4 61 11 5 45 14 6 114 11 7 118 10 8 138 8 9 85 6 10 70 6 Using the Minitab statistical analysis program to enter the data and perform the analysis, complete the following: • Run the Wilcoxon rank-sum test to show whether there is a statistically significant difference between the mortality rates of children under the age of five years of the regions. Results may be used in making decisions regarding which region needs to receive help to improve the public health issues of morality. • Obtain the difference in the mortality rates and whether there is a statistically significant difference. In addition, in a Microsoft Word document, provide a written interpretation of your results in APA format.Biostatistical Methods - Statistics project Paper

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Project Assignment

This assignment focuses Biostatistical Methods - Statistics project Paperon nonparametric methods. When a researcher is not in a situation to be able to assume parametric statistical methods requirements, known distribution, or dealing with small sample size, then nonparametric statistical methods need to be used, which make fewer assumptions about the distributional shape.

Use Minitab Software.

Nonparametric Methods
In this assignment, we will use the following nonparametric methods:

  • The Wilcoxon signed-rank test: The Wilcoxon signed-rank test is the nonparametric test analog of the paired t-test.
  • The Wilcoxon rank-sum test or the Mann-Whitney U test: The Wilcoxon rank-sum test is an analog to the two-sample t-test for independent samples.

For each exercise, there will be a sample problem that shows how the calculations are done and the problems for you to work on.Biostatistical Methods - Statistics project Paper

               

                    Part 1: Wilcoxon Signed-Rank Test

 

Let's take a hypothetical situation. The World Health Organization (WHO) wants to investigate whether building irrigation systems in an African region helped reduce the number of new cases of malaria and increased the public health level.

Data was collected for the following variables from ten different cities of Africa:Biostatistical Methods - Statistics project Paper

  • The number of new cases of malaria before the irrigation systems were built
  • The number of new cases of malaria after the irrigation systems were built

Table 1: Cases of Malaria

City Before After
1 110 55
2 240 75
3 68 15
4 100 10
5 120 21
6 110 11
7 141 41
8 113 5
9 112 13
10 110 8

Using the Minitab statistical analysis program to enter the data and perform the analysis, complete the following:Biostatistical Methods - Statistics project Paper

  • Run a sample Wilcoxon signed-rank test to show whether there is a statistically significant difference between the number of cases before and after the irrigation systems were built.
  • Obtain the rank-sum.
  • Determine the significance of the difference between the groups.
  • Determine whether building these systems helped reduce new cases of malaria.

In addition, in a Microsoft Word document, provide a written interpretation of your results in APA format. Biostatistical Methods - Statistics project Paper

.

                      Part 2: Wilcoxon Rank-Sum Test

 

Let us consider another hypothetical situation. The WHO wants to compare the mortality rates of children under the age of five years of underdeveloped and developed regions of the world. There were two independent samples of ten countries from each of the groups drawn at the same time, and the yearly mortality rates of children under the age of five years (per 100,000) inhabitants were reported (MRate1 and MRate2).

Table 2: Mortality Rates of Children

Country MRate1 MRate2
1 120 11
2 110 9
3 105 13
4 61 11
5 45 14
6 114 11
7 118 10
8 138 8
9 85 6
10 70 6


Biostatistical Methods - Statistics project Paper

Using the Minitab statistical analysis program to enter the data and perform the analysis, complete the following:

  • Run the Wilcoxon rank-sum test to show whether there is a statistically significant difference between the mortality rates of children under the age of five years of the regions. Results may be used in making decisions regarding which region needs to receive help to improve the public health issues of morality.
  • Obtain the difference in the mortality rates and whether there is a statistically significant difference.

In addition, in a Microsoft Word document, provide a written interpretation of your results in APA format.Biostatistical Methods - Statistics project Paper