Report
Exercise5
Authors, Matr.No.:
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VU Biostatistics and Experimental Design WS 17/18
Date: To insert, click here.
1. One sample problem [R+]
a) Please insert your results in the text fields below and interpret them in the conclusion field:
Hypotheses (keep in mind to state your hypotheses in mathematically form and in full words!):
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Please insert a table which sums up the most important calculation steps (xi; Di; Zi and R(|Di|)) (don´t forget the table caption!):
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Test statistic
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Critical range:
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Conclusion:
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b) Give your hypotheses and your results in the text fields below:
i)less
Hypotheses:
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p-value:
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Conclusion:
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ii)greater
Hypotheses:
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p-value:
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Conclusion:
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c) Which conclusion can be made about the observed grain yield in comparison to the stated grain yield value from the fertilizer manufacturer if you summarize your results from 1.a) and 1.b)? (max. 200 words):
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2. Two sample problem [R+]
a) Please insert your results in the text fields below (results only!) and interpret them in the conclusion field:
Hypotheses (keep in mind to state your hypotheses in mathematically form and in full words!):
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Please insert the combined and sorted sample(in a table; with the ranks Ri;don´t forget the table caption!):
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Test statistic:
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Critical range:
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Conclusion:
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b) Give your hypotheses and your results in the text fields below(keep in mind to state your hypotheses in mathematically form and in full words!):
i) greater
Hypotheses:
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Test statistic:
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Critical range:
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Conclusion:
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ii) less
Hypotheses:
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Test statistic:
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Critical range:
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Conclusion:
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c) State the value for the Mann-Whitney-U-test statistic which you have calculated manually (in R or by hand) with the left formula from the formula sheetand with the R-function wilcox.test:
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State the calculation (not only the result!) of the Mann-Whitney-U-test statistic by using WN(from a. andb.) and the conversion formula:
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d) Summarize your results from the points above (2.a) and 2.b)). Which conclusion can be made about the impact of the new fertilizer on the grain yield? (max. 200 words):
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Bonus: e) If you could assume a normal distribution, which parametric test would you chose for this exercise?
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3. Analysis of Variance [R+]
a) Please insert your results in the text fields below and interpret them in the conclusion field:
Hypotheses:
H0:To insert, click here.
H1:To insert, click here.
Test statistic:
F = To insert, click here.
Include the summary of aov below:
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Conclusion:
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b) Please insert your results and plots in the fields below and interpret them in the conclusion field:
Boxplot:
Figure 1: To insert, click here.
Relations of medians and variances in mathematical notation:
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Conclusion:
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Bonus: c) Please insert your resultsin the fields below and interpret them in the conclusion field:
Hypotheses:
H0:To insert, click here.
H1:To insert, click here.
Test statistic:
F = To insert, click here.
Degrees of freedom, ν1, ν2:To insert, click here.
Insert a screenshot of the F-statistics table, mark the chosen Fn,m;α:
Figure 2: To insert, click here.
Critical range:
K=To insert, click here.
Results of var.test:
Teststatistics, F=To insert, click here.
p-value =To insert, click here.
Conclusion:
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Comments: In case of handwritten calculations please insert these in the field below (scan or photo):
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