Table 4.

Parameter count for models with different identification conditions (K = 1). The structure is the same to Table 3.

	T	Λ	ν	diag(Θ)	κ	diag(Φ)	diag(Σ)	total
Total	pG	pG	pG	pG	mG	mG	0	G(4p + m(m + 3)/2)
Condition 7	pG	pG	0	pG	0	0	−pG
Condition 8	pG	pG	0	0	0	0	0	G(2p + m(m − 1)/2)
MYT	p	(p − m)G	0	pG	m(G − 1)	mG	−p − m(G − 1)
T	0	pG	pG	pG	0	0	−pG	same as baseline
Λ	pG	0	0	pG	0	0	0	same as baseline
ν or Θ	same as Condition 8							same as baseline
T & Λ	0	0	pG	pG	0	0	0	same as baseline
T & ν	same as MYT							same as baseline
T & Θ	p	pG	p(G − 1)	p	0	0	−p	same as baseline
Λ & ν	same as loading invariance							same as baseline
Λ & Θ	pG	p	0	p	0	m(G − 1)	−p	G(p + m(m + 1)/2) + p − m
ν & Θ	same as Condition 8							same as baseline
T, Λ & ν	p	p	0	pG	m(G − 1)	m(G − 1)	−p	G(p + m(m + 3)/2) + p − 2m
T, Λ & Θ	p	p	p(G − 1)	p	0	m(G − 1)	−p	G(p + m(m + 1)/2) + p − m
T, ν & Θ	p	pG	0	p	mG	0	−p	G(p + m(m + 1)/2) + p
Λ, ν & Θ	same as loading and unique variance invariance
all four	p	p	0	p	m(G − 1)	m(G − 1)	−p	Gm(m + 3)/2 + 2p − 2m