| Time=1 | Time=2 | Time=3 | Time=4 |
|--------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|
| | Condition | Question | Alice | Bernard | | Condition | Question | Alice | Bernard | | Condition | Question | Alice | Bernard | | Condition | Question | Alice | Bernard |
| Group1 | 1 | 1 | . | . | | 2 | 17 | . | . | | 3 | 33 | . | . | | 4 | 49 | . | . |
| | 2 | 2 | . | . | | 3 | 18 | . | . | | 4 | 34 | . | . | | 1 | 50 | . | . |
| | 3 | 3 | . | . | | 4 | 19 | . | . | | 1 | 35 | . | . | | 2 | 51 | . | . |
| | 4 | 4 | . | . | | 1 | 20 | . | . | | 2 | 36 | . | . | | 3 | 52 | . | . |
| | 2 | 5 | . | . | | 3 | 21 | . | . | | 4 | 37 | . | . | | 1 | 53 | . | . |
| | 3 | 6 | . | . | | 4 | 22 | . | . | | 1 | 38 | . | . | | 2 | 54 | . | . |
| | 4 | 7 | . | . | | 1 | 23 | . | . | | 2 | 39 | . | . | | 3 | 55 | . | . |
| | 1 | 8 | . | . | | 2 | 24 | . | . | | 3 | 40 | . | . | | 4 | 56 | . | . |
| | 3 | 9 | . | . | | 4 | 25 | . | . | | 1 | 41 | . | . | | 2 | 57 | . | . |
| | 4 | 10 | . | . | | 1 | 26 | . | . | | 2 | 42 | . | . | | 3 | 58 | . | . |
| | 1 | 11 | . | . | | 2 | 27 | . | . | | 3 | 43 | . | . | | 4 | 59 | . | . |
| | 2 | 12 | . | . | | 3 | 28 | . | . | | 4 | 44 | . | . | | 1 | 60 | . | . |
| | 4 | 13 | . | . | | 1 | 29 | . | . | | 2 | 45 | . | . | | 3 | 61 | . | . |
| | 1 | 14 | . | . | | 2 | 30 | . | . | | 3 | 46 | . | . | | 4 | 62 | . | . |
| | 2 | 15 | . | . | | 3 | 31 | . | . | | 4 | 47 | . | . | | 1 | 63 | . | . |
| | 3 | 16 | . | . | | 4 | 32 | . | . | | 1 | 48 | . | . | | 2 | 64 | . | . |
|--------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|
| | | | Cathy | Dennis | | | | Cathy | Dennis | | | | Cathy | Dennis | | | | Cathy | Dennis |
| Group2 | 2 | 1 | . | . | | 3 | 17 | . | . | | 4 | 33 | . | . | | 1 | 49 | . | . |
| | 3 | 2 | . | . | | 4 | 18 | . | . | | 1 | 34 | . | . | | 2 | 50 | . | . |
| | 4 | 3 | . | . | | 1 | 19 | . | . | | 2 | 35 | . | . | | 3 | 51 | . | . |
| | 1 | 4 | . | . | | 2 | 20 | . | . | | 3 | 36 | . | . | | 4 | 52 | . | . |
| | 3 | 5 | . | . | | 4 | 21 | . | . | | 1 | 37 | . | . | | 2 | 53 | . | . |
| | 4 | 6 | . | . | | 1 | 22 | . | . | | 2 | 38 | . | . | | 3 | 54 | . | . |
| | 1 | 7 | . | . | | 2 | 23 | . | . | | 3 | 39 | . | . | | 4 | 55 | . | . |
| | 2 | 8 | . | . | | 3 | 24 | . | . | | 4 | 40 | . | . | | 1 | 56 | . | . |
| | 4 | 9 | . | . | | 1 | 25 | . | . | | 2 | 41 | . | . | | 3 | 57 | . | . |
| | 1 | 10 | . | . | | 2 | 26 | . | . | | 3 | 42 | . | . | | 4 | 58 | . | . |
| | 2 | 11 | . | . | | 3 | 27 | . | . | | 4 | 43 | . | . | | 1 | 59 | . | . |
| | 3 | 12 | . | . | | 4 | 28 | . | . | | 1 | 44 | . | . | | 2 | 60 | . | . |
| | 1 | 13 | . | . | | 2 | 29 | . | . | | 3 | 45 | . | . | | 4 | 61 | . | . |
| | 2 | 14 | . | . | | 3 | 30 | . | . | | 4 | 46 | . | . | | 1 | 62 | . | . |
| | 3 | 15 | . | . | | 4 | 31 | . | . | | 1 | 47 | . | . | | 2 | 63 | . | . |
| | 4 | 16 | . | . | | 1 | 32 | . | . | | 2 | 48 | . | . | | 3 | 64 | . | . |
|--------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|
| | | | Eric | Fellicity | | | | Eric | Fellicity | | | | Eric | Fellicity | | | | Eric | Fellicity |
| Group3 | 3 | 1 | . | . | | 4 | 17 | . | . | | 1 | 33 | . | . | | 2 | 49 | . | . |
| | 4 | 2 | . | . | | 1 | 18 | . | . | | 2 | 34 | . | . | | 3 | 50 | . | . |
| | 1 | 3 | . | . | | 2 | 19 | . | . | | 3 | 35 | . | . | | 4 | 51 | . | . |
| | 2 | 4 | . | . | | 3 | 20 | . | . | | 4 | 36 | . | . | | 1 | 52 | . | . |
| | 4 | 5 | . | . | | 1 | 21 | . | . | | 2 | 37 | . | . | | 3 | 53 | . | . |
| | 1 | 6 | . | . | | 2 | 22 | . | . | | 3 | 38 | . | . | | 4 | 54 | . | . |
| | 2 | 7 | . | . | | 3 | 23 | . | . | | 4 | 39 | . | . | | 1 | 55 | . | . |
| | 3 | 8 | . | . | | 4 | 24 | . | . | | 1 | 40 | . | . | | 2 | 56 | . | . |
| | 1 | 9 | . | . | | 2 | 25 | . | . | | 3 | 41 | . | . | | 4 | 57 | . | . |
| | 2 | 10 | . | . | | 3 | 26 | . | . | | 4 | 42 | . | . | | 1 | 58 | . | . |
| | 3 | 11 | . | . | | 4 | 27 | . | . | | 1 | 43 | . | . | | 2 | 59 | . | . |
| | 4 | 12 | . | . | | 1 | 28 | . | . | | 2 | 44 | . | . | | 3 | 60 | . | . |
| | 2 | 13 | . | . | | 3 | 29 | . | . | | 4 | 45 | . | . | | 1 | 61 | . | . |
| | 3 | 14 | . | . | | 4 | 30 | . | . | | 1 | 46 | . | . | | 2 | 62 | . | . |
| | 4 | 15 | . | . | | 1 | 31 | . | . | | 2 | 47 | . | . | | 3 | 63 | . | . |
| | 1 | 16 | . | . | | 2 | 32 | . | . | | 3 | 48 | . | . | | 4 | 64 | . | . |
|--------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|------|-----------|----------------|--------|-----------|
| | | | Gordon | Helen | | | | Gordon | Helen | | | | Gordon | Helen | | | | Gordon | Helen |
| Group4 | 4 | 1 | . | . | | 1 | 17 | . | . | | 2 | 33 | . | . | | 3 | 49 | . | . |
| | 1 | 2 | . | . | | 2 | 18 | . | . | | 3 | 34 | . | . | | 4 | 50 | . | . |
| | 2 | 3 | . | . | | 3 | 19 | . | . | | 4 | 35 | . | . | | 1 | 51 | . | . |
| | 3 | 4 | . | . | | 4 | 20 | . | . | | 1 | 36 | . | . | | 2 | 52 | . | . |
| | 1 | 5 | . | . | | 2 | 21 | . | . | | 3 | 37 | . | . | | 4 | 53 | . | . |
| | 2 | 6 | . | . | | 3 | 22 | . | . | | 4 | 38 | . | . | | 1 | 54 | . | . |
| | 3 | 7 | . | . | | 4 | 23 | . | . | | 1 | 39 | . | . | | 2 | 55 | . | . |
| | 4 | 8 | . | . | | 1 | 24 | . | . | | 2 | 40 | . | . | | 3 | 56 | . | . |
| | 2 | 9 | . | . | | 3 | 25 | . | . | | 4 | 41 | . | . | | 1 | 57 | . | . |
| | 3 | 10 | . | . | | 4 | 26 | . | . | | 1 | 42 | . | . | | 2 | 58 | . | . |
| | 4 | 11 | . | . | | 1 | 27 | . | . | | 2 | 43 | . | . | | 3 | 59 | . | . |
| | 1 | 12 | . | . | | 2 | 28 | . | . | | 3 | 44 | . | . | | 4 | 60 | . | . |
| | 3 | 13 | . | . | | 4 | 29 | . | . | | 1 | 45 | . | . | | 2 | 61 | . | . |
| | 4 | 14 | . | . | | 1 | 30 | . | . | | 2 | 46 | . | . | | 3 | 62 | . | . |
| | 1 | 15 | . | . | | 2 | 31 | . | . | | 3 | 47 | . | . | | 4 | 63 | . | . |
| | 2 | 16 | . | . | | 3 | 32 | . | . | | 4 | 48 | . | . | | 1 | 64 | . | . |
There are two main factors of interest: Condition and Question. Observations are made at four Time points. Subjects are assigned to one of four Groups. (For now, assume two Subjects per Group as given above). Condition has four levels. Question is nested within Run and has 16 levels per Time (so the levels of Question vary across Time, but are constant across Groups for a given Time). Obviously the Subjects are nested within Group. The Condition-Question combinations have been made to ensure that no Subject answers the same Question more than once. Moreover, these combinations have been made in such a way that within each Time, every Condition-Question combination (64 in all) occurs, but split equally across the four Groups. (This splitting is necessary to ensure that every C-Q combination occurs, but no Subject receives the same Question more than once).
How can this design be analyzed? There are a number of complicating factors here: (i) There are repeated measures due to Subjects both within Groups and across Time. (ii) Within a Group and Time, not every Condition-Question combination occurs. This is because of the restriction that a Subject cannot see the same question twice. Due to this, the design seems to have a "fractional" quality about it.
