General model of a dataset with a two-level clustered/nested data structure
| (Observation) (individual i) level 1 (1) | Group j level 2 (2) | Yij (3) | X1ij (4) | X2ij (5) | … | XQij (6) | W1j (7) | W2j (8) | … | WSj (9) |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | Y11 | X111 | X211 | … | XQ11 | W11 | W21 | … | WS1 |
| 2 | 1 | Y21 | X121 | X221 | XQ21 | W11 | W21 | WS1 | ||
| ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ||
| n1 | 1 | Yn11 | X1n11 | X2n11 | XQn11 | W11 | W21 | WS1 | ||
| n1 + 1 | 2 | Yn1+1,2 | X1n1+1,2 | X2n1+1,2 | XQn1+1,2 | W12 | W22 | WS2 | ||
| n1 + 2 | 2 | Yn1+2,2 | X1n1+2,2 | X2n1+2,2 | XQn1+2,2 | W12 | W22 | WS2 | ||
| ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ||
| n2 | 2 | Yn22 | X1n22 | X2n22 | XQn22 | W12 | W22 | WS2 | ||
| ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ||
| nJ−1 + 1 | J | YnJ−1+1,J | X1nJ−1+1,J | X2nJ−1+1,J | XQnJ−1+1,J | W1J | W2J | WSJ | ||
| nJ−1 + 2 | J | Ynj−1+2,J | X1nJ−1+2,J | X2nJ−1+2,J | XQnJ−1+2,J | W1J | W2J | WSJ | ||
| ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ||
| n | J | YnJ | X1nJ | X2nJ | XQnJ | W1J | W2J | WSJ |
| (Observation) (individual | Group | … | … | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | … | … | |||||||
| 2 | 1 | |||||||||
| ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ||
| 1 | ||||||||||
| 2 | ||||||||||
| 2 | ||||||||||
| ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ||
| 2 | ||||||||||
| ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ||
| ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ⫶ | ||
Note:
The dataset will have a balanced nested data structure if n1 = n2 − n1 = … = n − nJ−1
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