Variable | essay | hours | grade | ||||||
---|---|---|---|---|---|---|---|---|---|
1. essay | Pearson's r | — | |||||||
p-value | — | ||||||||
2. hours | Pearson's r | 0.267 | — | ||||||
p-value | 0.077 | — | |||||||
3. grade | Pearson's r | -0.894 | -0.235 | — | |||||
p-value | < .001 | 0.120 | — | ||||||
In both cases the correlation is non-significant. There was no significant relationship between degree grade classification for an essay and the time spent doing it,
= 0.19, p = 0.204, and = –0.16, p = 0.178. Note that the direction of the relationship has reversed. This has happened because the essay marks were recoded as 1 (first), 2 (upper second), 3 (lower second), and 4 (third), so high grades were represented by low numbers. This example illustrates one of the benefits of not taking continuous data (like percentages) and transforming them into categorical data: when you do, you lose information and often statistical power!
Variable | essay | hours | grade | ||||||
---|---|---|---|---|---|---|---|---|---|
1. essay | Spearman's rho | — | |||||||
p-value | — | ||||||||
Kendall's Tau B | — | ||||||||
p-value | — | ||||||||
2. hours | Spearman's rho | 0.211 | — | ||||||
p-value | 0.163 | — | |||||||
Kendall's Tau B | 0.154 | — | |||||||
p-value | 0.140 | — | |||||||
3. grade | Spearman's rho | -0.919 | -0.193 | — | |||||
p-value | < .001 | 0.204 | — | ||||||
Kendall's Tau B | -0.808 | -0.158 | — | ||||||
p-value | < .001 | 0.178 | — | ||||||