Results
Descriptive Statistics
For JASP exam scores, the S-W test is significant, *S-W* = 0.96, *p* = 0.005, and this is true also for numeracy scores, *S-W* = 0.92, *p* \< .001. These tests indicate that both distributions are significantly different from normal. This result is likely to reflect the bimodal distribution found for exam scores, and the positively skewed distribution observed in the numeracy scores. However, these tests confirm that these deviations were significant (but bear in mind that the sample is fairly big.)
| Valid | Missing | Mean | Std. Deviation | Shapiro-Wilk | P-value of Shapiro-Wilk | Minimum | Maximum | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| exam | 100 | 0 | 58.100 | 21.316 | 0.961 | 0.005 | 15.000 | 99.000 | |||||||||
| numeracy | 100 | 0 | 4.850 | 2.706 | 0.924 | < .001 | 1.000 | 14.000 | |||||||||
Distribution Plots
exam
numeracy
Descriptive Statistics - Split
Note that the percentages on the JASP exam are not significantly different from normal within the two groups. This point is important because if our analysis involves comparing groups, then what's important is not the overall distribution but the distribution in each group.
| Valid | Missing | Mean | Std. Deviation | Shapiro-Wilk | P-value of Shapiro-Wilk | Minimum | Maximum | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| exam | Duncetown University | 50 | 0 | 40.180 | 12.589 | 0.972 | 0.283 | 15.000 | 66.000 | ||||||||||
| exam | Sussex University | 50 | 0 | 76.020 | 10.205 | 0.984 | 0.715 | 56.000 | 99.000 | ||||||||||
| numeracy | Duncetown University | 50 | 0 | 4.120 | 2.067 | 0.941 | 0.015 | 1.000 | 9.000 | ||||||||||
| numeracy | Sussex University | 50 | 0 | 5.580 | 3.071 | 0.932 | 0.007 | 1.000 | 14.000 | ||||||||||
Distribution Plots
exam
Duncetown University
Sussex University
numeracy
Duncetown University
Sussex University
