Reporting the results of a wilcoxon matched pair test

[MBCT]

I've done 3 wilcoxon matched pair tests and was wondering if someone could give me some advise on the most logical / correct way to report the results.

test 1:
pre post
1.98 1.56
1.09 2.49
2.18 2.94
1.13 1.29
1.23 2.38

result: Z = -1.438, two tail p = 0.138

So I was thinking of reporting that...
"A wilcoxon matched pairs test was performed to determine if the increase was significant. The mean (median?) gain (M=0.61, SD=0.74, N=5) was greater than zero, Z=-1.48, two tail p=0.138, but not enough to provide evidence that there was statistically significant improvement"

test 2:
Pre Post
39.0 41.4
30.7 31.1
58.7 54.6
48.2 50.9
53.4 58.2

result: Z = -0.94, two tail p = 0.345

"A wilcoxon matched pairs test was performed to determine if the increase was significant. The mean (median?) gain (M=1.24, SD=3.368, N=5) was slightly greater than zero, Z=-0.94, two tail p=0.345, providing no evidence that there was statistically significant improvement"

test 3:
pre post
29.8 52.6
23.7 34.0
18.1 57.7
12.5 48.2
16.1 35.3

"A wilcoxon matched pairs test was performed to determine if the increase was significant. The mean (median?) gain (M=25.52, SD=12.051, N=5) was greater than zero, Z=-2.023, two tail p=0.043, providing evidence that there was statistically significant improvement"

Questions:
1. should I specify in my description the range given that test 1 looks worse than test 2, but a 0.61 mean change is actually a lot better for this test than a 1.24 mean change?
2. given that wilcoxon compares the medians should I not talk about the mean change at all?
3. although I can't say that wilcoxon shows that the treatment between pre and post was effective given that there is no control, am I ok saying that wilcoxon showed statistically significant improvement in test 3?
4. should I be saying something about Confidence Intervals in the description despite wilcoxon not calculating these?
5. what is Z? am I referring to it correctly or should I be calling it something else in the reporting of the result?

 

[mmwave]

1. It may be helpful to include the range in your description, especially if there is a large difference between the two tests. However, it is not necessary to include this information if the mean change is more informative for your analysis.
2. Since Wilcoxon compares the medians, it may be more accurate to report the median change instead of the mean change. However, it is still acceptable to report the mean change as long as you specify that it is the mean and not the median.
3. Yes, you can say that Wilcoxon showed statistically significant improvement in test 3. It is important to note that this is in comparison to the null hypothesis, not to a control group.
4. Since Wilcoxon does not calculate confidence intervals, it is not necessary to include them in your description. However, if you have calculated confidence intervals using another method, it may be helpful to include them in your results.
5. Z is the test statistic used in Wilcoxon matched pair tests. It is appropriate to refer to it as Z in your reporting of the results.