Final estimation of fixed effects: (Unit-specific model) Standard Approx. Fixed Effect Coefficient t-ratio p-value error d.f. For INTRCPT1, ψ0 INTRCPT2, 1.551164 0.036655 42.318 7639 <0.001 γ00 For IND1 slope, ψ1 INTRCPT2, 0.530704 0.047733 11.118 38002 <0.001 γ10 For IND2 slope, ψ2 INTRCPT2, 0.281744 0.046264 6.090 38002 <0.001 γ20 For IND3 ψ3 INTRCPT2, -0.082213 0.044577 -1.844 38002 0.065 γ30 For IND4 slope, ψ4 INTRCPT2, 1.055976 0.051815 20.380 38002 <0.001 γ40 For IND5 slope, ψ5 INTRCPT2, -0.476906 0.043173 -11.046 38002 <0.001 γ50 A comparison to Rasch estimates of item location using a full ordinal partial-credit model (Winsteps): A Model for Impact (e.g., gender difference in trait level) = + +u0j ψ0j γ00 γ01(sex)j = ψ1j γ10 = ψ2j γ20 = ψ3j γ30 = ψ4j γ40 = ψ5j γ50
Final estimation of fixed effects: (Unit-specific model) Fixed Effect Coefficient Standard error t-ratio Approx. d.f. p-value For INTRCPT1, ψ0 INTRCPT2, γ00 1.551164 0.036655 42.318 7639 <0.001 For IND1 slope, ψ1 INTRCPT2, γ10 0.530704 0.047733 11.118 38002 <0.001 For IND2 slope, ψ2 INTRCPT2, γ20 0.281744 0.046264 6.090 38002 <0.001 For IND3 ψ3 INTRCPT2, γ30 -0.082213 0.044577 -1.844 38002 0.065 For IND4 slope, ψ4 INTRCPT2, γ40 1.055976 0.051815 20.380 38002 <0.001 For IND5 slope, ψ5 INTRCPT2, γ50 -0.476906 0.043173 -11.046 38002 <0.001 A comparison to Rasch estimates of item location using a full ordinal partial-credit model (Winsteps): A Model for Impact (e.g., gender difference in trait level) ψ0j = γ00 + γ01(sex)j +u0j ψ1j = γ10 ψ2j = γ20 ψ3j = γ30 ψ4j = γ40 ψ5j = γ50
Item-Response-Models.docx