Table 3.
Comparing intervals and Bayes for interpreting a non-significant result.
| What does it tell you? | What do you need to link data to theory? | Amount of data needed to obtain evidence for the null? | What would be a useful stopping rule to guarantee sensitivity? | |
| Intervals | How precisely a parameter has been estimated; a reflection of data rather than theory. | A minimal value below which the theory is refuted. | Enough to make sure the width of the interval is less than that of the null region; considerable participant numbers will typically be needed in contrast to Bayes factors. | Interval width no more than null region width and interval either completely in or completely out of the null region. |
| Bayes factors | The strength of evidence the data provide for one theory over another; specific to the two theories contrasted. | A rough expected value or maximum value consistent with theory. | Bayes factors ensure maximum efficiency in use of participants, given a Bayes factor measures strength of evidence. | Bayes factor either greater than three or less than a third. |