TABLE 1.
Step | Statistic | Value | Calculation | Description |
1. Pre-test | Odds (as a decimal) | 0.25 | The decimal odds of sustaining a future injury for all athletes, prior to accounting for previous injury. This can also be calculated using the pre-test probability (see section “Pre-test and Post-test Probabilities”). | |
Odds (as a ratio) | 1:4 | As above, calculated as a fraction | The likelihood of a future injury occurring (1) compared to the likelihood of a future injury not occurring (4) for all athletes. | |
Probability | 20% | The percentage of athletes likely to sustain a future injury (prior to accounting for previous injury). | ||
Explanation | 2 in 10 chance | − | This can simplified to a 1 in 5 chance. | |
2. Likelihood ratio | Positive likelihood ratio | 6 | The magnitude by which having a previous injury increases the odds of sustaining a future injury. This is calculated using sensitivity and specificity (see section “Sensitivity and Specificity”). | |
3. Post-test | Odds (as a decimal) | 1.5 | Pre−testodds×positivelikelihoodratio | The decimal odds of athletes with a previous injury sustaining a future injury. |
Odds (as a ratio) | 6:4 | As above, calculated as a fraction | The likelihood of a future injury occurring (6) compared to the likelihood of a future injury not occurring (4) for athletes with a previous injury. | |
Probability | 60% | The percentage of previously injured athletes likely to sustain a future injury. This is calculated using the post-test odds. | ||
Explanation | 6 in 10 chance | − | This can be simplified to a 3 in 5 chance. |
The derived values have been calculated using the example and mock dataset illustrated in Figure 2. For a detailed outline of the steps involved, see section “Pre-test and Post-test Probabilities.” TP, true positive; TN, true negative; FP, false positive; FN, false negative.