Table I. General model of a dataset with... | Emerald Publishing

Table I.

General model of a dataset with a two-level clustered/nested data structure

(Observation) (individual i) level 1 (1)	Group j level 2 (2)	Y_ij (3)	X₁_ij (4)	X₂_ij (5)	…	X_Qij (6)	W₁_j (7)	W₂_j (8)	…	W_Sj (9)
1	1	Y₁₁	X₁₁₁	X₂₁₁	…	X_Q₁₁	W₁₁	W₂₁	…	W_S₁
2	1	Y₂₁	X₁₂₁	X₂₂₁		X_Q₂₁	W₁₁	W₂₁		W_S₁
⫶	⫶	⫶	⫶	⫶		⫶	⫶	⫶		⫶
n₁	1	Y_n₁1	X_1n₁1	X_2n₁1		X_Qn₁1	W₁₁	W₂₁		W_S₁
n₁ + 1	2	Y_n₁+1,2	X_1n₁+1,2	X_2n₁+1,2		X_Qn₁+1,2	W₁₂	W₂₂		W_S₂
n₁ + 2	2	Y_n₁+2,2	X_1n₁+2,2	X_2n₁+2,2		X_Qn₁+2,2	W₁₂	W₂₂		W_S₂
⫶	⫶	⫶	⫶	⫶		⫶	⫶	⫶		⫶
n₂	2	Y_n₂2	X_1n₂2	X_2n₂2		X_Qn₂2	W₁₂	W₂₂		W_S₂
⫶	⫶	⫶	⫶	⫶		⫶	⫶	⫶		⫶
n_J−₁ + 1	J	Y_{n_J−1+1,J}	X_{1_{n_J−1+1,J}}	X_{2n_J−1+1,J}		X_{Qn_J−1+1,J}	W₁_J	W₂_J		W_SJ
n_J−₁ + 2	J	Y_{n_j−1+2,J}	X_{1n_J−1+2,J}	X_{2n_J−1+2,J}		X_{Qn_J−1+2,J}	W1J	W₂_J		W_SJ
⫶	⫶	⫶	⫶	⫶		⫶	⫶	⫶		⫶
n	J	Y_nJ	X₁_nJ	X₂_nJ		X_QnJ	W₁_J	W₂_J		W_SJ

(Observation) (individual i) level 1 (1)	Group j level 2 (2)	Y_ij (3)	X₁_ij (4)	X₂_ij (5)	…	X_Qij (6)	W₁_j (7)	W₂_j (8)	…	W_Sj (9)
1	1	Y₁₁	X₁₁₁	X₂₁₁	…	X_Q₁₁	W₁₁	W₂₁	…	W_S₁
2	1	Y₂₁	X₁₂₁	X₂₂₁		X_Q₂₁	W₁₁	W₂₁		W_S₁
⫶	⫶	⫶	⫶	⫶		⫶	⫶	⫶		⫶
n₁	1	Y_n₁1	X_1n₁1	X_2n₁1		X_Qn₁1	W₁₁	W₂₁		W_S₁
n₁ + 1	2	Y_n₁+1,2	X_1n₁+1,2	X_2n₁+1,2		X_Qn₁+1,2	W₁₂	W₂₂		W_S₂
n₁ + 2	2	Y_n₁+2,2	X_1n₁+2,2	X_2n₁+2,2		X_Qn₁+2,2	W₁₂	W₂₂		W_S₂
⫶	⫶	⫶	⫶	⫶		⫶	⫶	⫶		⫶
n₂	2	Y_n₂2	X_1n₂2	X_2n₂2		X_Qn₂2	W₁₂	W₂₂		W_S₂
⫶	⫶	⫶	⫶	⫶		⫶	⫶	⫶		⫶
n_J−₁ + 1	J	Y_{n_J−1+1,J}	X_{1_{n_J−1+1,J}}	X_{2n_J−1+1,J}		X_{Qn_J−1+1,J}	W₁_J	W₂_J		W_SJ
n_J−₁ + 2	J	Y_{n_j−1+2,J}	X_{1n_J−1+2,J}	X_{2n_J−1+2,J}		X_{Qn_J−1+2,J}	W1J	W₂_J		W_SJ
⫶	⫶	⫶	⫶	⫶		⫶	⫶	⫶		⫶
n	J	Y_nJ	X₁_nJ	X₂_nJ		X_QnJ	W₁_J	W₂_J		W_SJ

Note:

The dataset will have a balanced nested data structure if n₁ = n₂ − n₁ = … = n − n_J₋₁