Table 3.

Mapping matrix pattern. The pattern indices here correspond to the numbers shown in the last column in Table 4. Underlined elements indicate how the identity matrix was modified to link study-level parameters to hyperparameters

Covariate	0	1	2	3	4	5	6	7	8	9	10	11	12
Pattern 1 (Study 1)
0. Intercept1	1	0	0	0	0	1	0	0	0	0	0	0	0
1. Man (= 1 vs. woman = 0)	0	1	0	0	0	0	0	0	0	0	0	0	0
2. White (= 1 vs. nonwhite = 0)	0	0	1	0	0	0	0	0	0	0	0	0	0
3. First-year (= 1 vs. other = 0)	0	0	0	1	0	0	0	0	0	0	0	0	0
4. PBS at Baseline	0	0	0	0	1	0	0	0	0	0	0	0	0
5. PF1(= 1 vs. control = 0)	0	0	0	0	0	0	0	0	0	0	0	0	0
6. MI + PF1(= 1 vs. control = 0)	0	0	0	0	0	−1	1	0	0	0	0	0	0
7. LS	0	0	0	0	0	0	0	1	0	0	0	0	0
8. QS	0	0	0	0	0	0	0	0	1	0	0	0	0
9. LS × PF1	0	0	0	0	0	0	0	0	0	0	0	0	0
10. LS × (MI + PF)1	0	0	0	0	0	0	0	0	0	−1	1	0	0
11. QS × PF1	0	0	0	0	0	0	0	0	0	0	0	0	0
12. QS × (MI + PF)1	0	0	0	0	0	0	0	0	0	0	0	−1	1
Pattern 5 (Study 11)
0. Intercept	1	0	0	1	0	0	0	0	0	0	0	0	0
1. Man (= 1 vs. woman = 0)	0	1	0	0	0	0	0	0	0	0	0	0	0
2. White (= 1 vs. nonwhite = 0)	0	0	1	0	0	0	0	0	0	0	0	0	0
3. First-year (= 1 vs. other = 0)	0	0	0	0	0	0	0	0	0	0	0	0	0
4. PBS at Baseline	0	0	0	0	0	0	0	0	0	0	0	0	0
5. PF (= 1 vs. control = 0)	0	0	0	0	0	1	0	0	0	0	0	0	0
6. MI + PF (= 1 vs. control = 0)	0	0	0	0	0	0	0	0	0	0	0	0	0
7. LS	0	0	0	0	0	0	0	1	0	0	0	0	0
8. QS	0	0	0	0	0	0	0	0	1	0	0	0	0
9. LS × PF	0	0	0	0	0	0	0	0	0	1	0	0	0
10. LS × (MI + PF)	0	0	0	0	0	0	0	0	0	0	0	0	0
11. QS × PF	0	0	0	0	0	0	0	0	0	0	0	1	0
12. QS × (MI + PF)	0	0	0	0	0	0	0	0	0	0	0	0	0

Note.

¹indicate that study 1 had two treatment groups.