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# Wilcoxon - Mann/Whitney Test

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3. Answer a and b in terms of the modern scientific paradigm, a. Which simple linear regression model should be preferred?
b. What desirable trait causes it to be the preferred model?

a. Intercept = b = 100
Slope = m = 9
R2= 0.4
P value= 0.03

b. Intercept = b = 100
Slope = m = 9
R2= 0.7
P value= 0.07

c. Intercept = b = 100
Slope = m = 9
R2= 0.7
P value= 0.03
For the preferred model answer the following:
c.. Is the slope of the line significant?
d. How much of the variance in productivity does the model explain?

3. Cotton mouse density is not normally distributed. Observation has caused you to suspect that cotton mice achieve greater densities in forests than in old fields or swamps. State a hypothesis and a null hypothesis regarding your observation. Design a field study to test your hypothesis. The data table containing your results is provided below. Given the data table provided, state the statistical test or tests that you would choose to test the hypothesis. State how you would interpret the results.

Table 1.Mouse density/ha by habitat.

Field 1 117 Forest 1 50 Swamp 1 75
Field 2 150 Forest 2 74 Swamp 2 208
Field 3 180 Forest 3 229 Swamp 3 109
Field 4 176 Forest 4 175 Swamp 4 154
Field 5 210 Forest 5 181 Swamp 5 179
Field 6 72 Forest 6 147 Swamp 6 52
Field 7 50 Forest 7 111 Swamp 7 174
Field 8 120 Forest 7 121 Swamp 7 119

https://brainmass.com/statistics/mann-whitney-u/wilcoxon-mann-whitney-test-278506

#### Solution Preview

a. Which simple linear regression model should be preferred?

The model C is preferable as it has the maximum model adequacy measure R2 . The regression model is also significant with p value less than significance level  =0.05

b. What desirable trait causes it to be the preferred model?

High value of R2 and low p value are the desirable properties of a good model.

a. Intercept = b = 100
Slope = m = 9
R2= 0.4
P value= 0.03

b. Intercept = b = 100
Slope = m = 9
R2= 0.7
P value= 0.07

c. Intercept = b = 100
Slope = m = 9
R2= 0.7
P value= 0.03
For the preferred model answer the following:
c.. Is the slope of the line significant?

The slope of the regression model C is significant ...

#### Solution Summary

The solution provides step by step method for the calculation of test statistic using Wilcoxon - Mann/Whitney Test. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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