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Non-parametric Correlation

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ID P Question or exercise
3677 3 The attached file contains participation results from this course in 2003-2012.
  1. How strong is the relationship between the mark from the one side, and 1) total participation, 2) participation in lectures and 3) participation in practical training from the other side?
  2. Which of these correlations is the strongest?
  3. What method and software did you use for measuring and comparing these correlations? Did you include students who got mark 0 (not present in examination)?
3676 4 The relationship between the same person self-appraisal and assessment from others was investigated in a student group. Estimates were given in 10 points system. The results are following. The order of persons in both lines is the same.
Self-appraisal 10 4 6 9 8 4 3 5 8 8 7 8 1 7 7 10 7
Mean assessment from others 5 7 5 3 8 6 7 5 10 9 5 4 8 2 4 3 4
  1. Are these samples dependent or independent?
  2. How strong is the Kendall tau correlation between these estimates?
  3. What is the direction of the correlation?
  4. Why Pearson R is not appropriate for these data?
  5. Why sign test is not suggested here?
3675 4
  1. Numerically how strong, which direction and statistically how significant is the Spearman rho correlation between cover of coniferous forests (land cover ="okasmets") and values in Landsat TM 8th channel (grey tones) in the attached file?
  2. Is higher coniferous cover coinciding with darker Landsat image?
  3. What can be the reasons of such a weak correlation?
  4. Why is Pearson R not suitable for measuring this correlation?