Data Summary
| Variable | Cases read | Cases missing | Cases used | Min | Median | Max |
|---|---|---|---|---|---|---|
| Post-Weight | 72 | 0 | 72 | 71.3 | 84.05 | 103.6 |
| Pre-Weight | 72 | 0 | 72 | 79.6 | 82.3 | 94.9 |
| [Post-Weight - Pre-Weight] | 72 | 0 | 72 | -12.2 | 1.65 | 21.5 |
Wilcoxon Signed-Rank Test of Difference in Location: [Post-Weight - Pre-Weight]
Sample size = 72
Median of differenced = 1.65
Null Hypothesis H0: Shift in Location '[Post-Weight - Pre-Weight]' is equal to 0
Alternative Hypothesis Ha: Shift in Location '[Post-Weight - Pre-Weight]' is not equal to 0
| Method | Test Stat. | P-Value |
|---|---|---|
| Normal Approximation with CC | 1724.5 | 0.0106022 |
Warning:
The Exact method was not used due to ties in the data.
This is a warning message!
Test of Hypothesis about Median of Differences: [Post-Weight - Pre-Weight]
Method: Sign Test
Null Hypothesis H0: Median of difference '[Post-Weight - Pre-Weight]' is equal to 0
Alternative Hypothesis Ha: Median of difference '[Post-Weight - Pre-Weight]' is not equal to 0
| Sample Size | Median of Diff. | Number Below | Number Equal | Number Above | P-Value |
|---|---|---|---|---|---|
| 72 | 1.65 | 29 | 1 | 42 | 0.153913 |
Test is not significant at 5% level.
P-Value Graph: [Post-Weight - Pre-Weight]
Sign Test Using the Binomial Distribution
Null Density: Binomial; n = 71, p = 0.5
Alternative Hypothesis Ha: Median of '[Post-Weight - Pre-Weight]' is not equal to 0
Permutation Test of Median of Paired Differences: [Post-Weight - Pre-Weight]
Alternative Hypothesis Ha: Median of paired differences '[Post-Weight - Pre-Weight]' is not equal to 0
Number of replications = 10000; Random generator seed = 100
| Median Obs Paired Diffs | Median Permutation Paired Diff | 2.5% Lower Critical Value | 2.5% Upper Critical Value | P-value |
|---|---|---|---|---|
| 1.65 | 0.05 | -1.4 | 1.3 | 0.0249975 |
Test is significant at 5% level.
Distribution of Permutation Replicates: Median of Paired Differences
[Post-Weight - Pre-Weight]
![The title of the graph is Distribution of Permutation Replicates: Median of Paired Differences
[Post-Weight - Pre-Weight] , The graph shows the distribution of Permutation Test [Post-Weight - Pre-Weight] , Obs. Median of Paired Diff = 1.65 , P-Value = 0.0249975 , Critical boundary for alpha = 5% ,
Critical values = -1.4, 1.3 , Number of replications = 10000 , Random generator seed = 100](G_TestMedianPermutation1.png)