Table 7.
Predictor variable names, definitions, and range of values
| Predictor Variable | Definition | Range of values | Study 1 | Study 2 | Study 3 |
|---|---|---|---|---|---|
| Level | Number of imagined tones (i.e., silent arrows) per trial | 1:5 | ✔ | ✔ | 1:6 |
| Heard_Range | The number of unique tones played during the set-up period, including the start note | 2:5 | ✔ | ✔ | ✔ |
| ProbabilityProbe_LastHeard | Probability of probe based on actual data of distance between last heard note and probe | 0.0003:0.40 | ✔ | ✔ | ✔ |
| ProbeTrueIm_AbsDiff | Absolute difference between the true imagined final note and the probe presented | 0, 1, 2 | ✔ | ✔ | ✔ |
| Stage 1 | Takes a value of 1 when trials where start note is tonic, number of arrows in set-up sequence is 3 and Key is C Major | 0/1 | ✔ | ||
| Stage 2 | Takes a value of 1 when trials where start note is tonic, and number arrows in set-up sequence is 3–5 | 0/1 | ✔ | ||
| Stage 3 | Takes a value of 1 when trials where start note is dominant, and number arrows in set-up sequence is 3–6 | 0/1 | ✔ | ||
| Stage 4 | Takes a value of 1 when trials where start note is tonic or dominant, and number arrows in set-up sequence is 3–6. Stage 4 trials only reached when participants successfully completed Level 5—Stage 3 | 0/1 | ✔ | ||
| ProbeNote_Is_StartNote | Takes value of 1 if probe was start note, and 0 if it was not | 0/1 | ✔ | ||
| Probability_Probe | Probability of the probe, given the total number of arrows presented in the trial | 0:0.375 | ✔ | ||
| Key |
Key signature (1–5 corresponding to C Maj, C# Maj, D Maj, Eb Maj, E Maj) |
1:5 | ✔ | ✔ | |
| Start_Note | Tonic (1) or Dominant (0) of scale | 1/0 | ✔ | ✔ | |
| Heard_Arrow | Number of sounded arrows presented in set-up period | 3:5 | ✔ | ✔ | |
|
Probe_Start Note_ Difference |
Probe number relative to steps away from the start note (at 0) | − 4: + 4 | ✔ | ✔ | |
| Probe | This is the probe note number in the scale where 1 is the tonic up to 8 which is the tonic up one octave, − 4, − 5, − 6, and − 7 are the 4th, 5th, 6th, and 7th notes of the scale in the lower octave | − 4:− 7; 1:9 | ✔ | ✔ | |
| Probe_Previous | Whether the probe was previously heard in the initial set-up period of the trial (1) or not (0) | 1/0 | ✔ | ✔ | |
| Low_Probe | If probe was not heard in set-up and was lower than start note (so not heard in initial scale), then (1) else (0) | 1/0 | ✔ | ✔ | |
| LastHeard | The last note heard in the sequence relative to start note | − 3: 3 | ✔ | ✔ | |
|
Binomial_ Probability_Probe_ StartNote |
Binomial probability of probe based on start note | .003:.21 | ✔ | ✔ | |
|
Probability_Probe_ StartNote |
Probability of probe based on actual data of distance between start note and probe | 0.15:0.31 | ✔ | ✔ | |
|
Binomial_ Probability_Probe_ LastHeard |
Binomial probability of probe based on last heard note | 0.009:0.24 | ✔ | ✔ | |
|
ProbeLastHeard_ AbsDiff |
Absolute value of the difference between last heard note and probe | 0:6 | ✔ | ✔ | |
| ProbeNote_1 | Takes a value of 1 only if the probe is the tonic; is derived from Probe = 1 or 8 | 1/0 | ✔ | ✔ | |
| ProbeNote_1or5 | Takes a value of 1 only if the probe is the tonic or dominant; i.e., Probe = − 5, 1, 5, or 8 | 1/0 | ✔ | ✔ | |
| Direction_Same | Takes value of 1 only if the direction of the probe tone from the last note heard (up, down, same) is the same as the direction of the true imagine tone from the last note heard | 1/0 | ✔ | ✔ | |
| LastHeardTrueIm_AbsDiff | Absolute value of the difference between last heard note and true imagined final note | 0:4 | ✔ | ✔ | |
| TrueIm _1or5 | Takes a value of 1 only if the true imagined final note is the tonic or dominant; is derived from true imagined note = − 5, 1, 5 or 8 | 1/0 | ✔ | ✔ | |
| ProbabilityProbe_Constrained | Probability of the probe, given the total number of arrows presented in the trial and the restraint that the start note cannot be used as a correct probe | 0:0.4 | ✔ |
Study number column indicates with a tick when the variable was used in modelling for that Study