Multinomial regression model.htm

NotesNotes, table, 0 levels of column headers and 2 levels of row headers, table with 3 columns and 21 rows
Output Created		12-JUN-2025 12:26:29
Comments
Input	Data	C:\Users\jjkyyr\Seafile\OPE\Kultut_Ope\_Tutkimus & kirjoitus\legitrel\OHJELMAT 2023\Pol-o_multinom_R\SS_Ref2\ohjelmat_SS_R2.sav
	Active Dataset	DataSet2
	Filter	<none>
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	600
Missing Value Handling	Definition of Missing	User-defined missing values are treated as missing.
Missing Value Handling	Cases Used	Statistics are based on all cases with valid data for all variables in the model.
Syntax		NOMREG legitimation (BASE='equality' ORDER=ASCENDING) WITH Zlr_combined Zgaltan_y Zp_age Zseat_y /CRITERIA CIN(95) DELTA(0) MXITER(100) MXSTEP(5) CHKSEP(20) LCONVERGE(0) PCONVERGE(0.000001) SINGULAR(0.00000001) /MODEL=Zp_age Zgaltan_y Zseat_y Zlr_combined \| FORWARD=Zp_ageZgaltan_y Zp_ageZseat_y Zp_ageZlr_combined Zgaltan_yZseat_y Zgaltan_yZlr_combined Zseat_yZlr_combined /STEPWISE=PIN(.05) POUT(0.1) MINEFFECT(0) RULE(SINGLE) ENTRYMETHOD(LR) REMOVALMETHOD(LR) /INTERCEPT=INCLUDE /PRINT=CELLPROB PARAMETER SUMMARY LRT CPS STEP MFI IC /SAVE ESTPROB ACPROB.
Resources	Processor Time	00:00:00,09
Resources	Elapsed Time	00:00:00,12
Variables Created	EST1_1	Estimated Cell Probability for Response Category: denying_spec_status
	EST2_1	Estimated Cell Probability for Response Category: equality
	EST3_1	Estimated Cell Probability for Response Category: prot_spec_status
	EST4_1	Estimated Cell Probability for Response Category: publ_utility
	EST5_1	Estimated Cell Probability for Response Category: threat&govern
	EST6_1	Estimated Cell Probability for Response Category: values&culture
	ACP_1	Estimated Classification Probability for the Actual Category

Case Processing Summary
	N	Marginal Percentage
Legitimation Frame	denying_spec_status	68	11,3%
equality	124	20,7%
prot_spec_status	110	18,3%
publ_utility	119	19,8%
threat&govern	89	14,8%
values&culture	90	15,0%
Valid	600	100,0%
Missing	0
Total	600
Subpopulation	104^a
a. The dependent variable has only one value observed in 45 (43,3%) subpopulations.

Step Summary
Model	Action	Effect(s)	Model Fitting Criteria			Effect Selection Tests
Model	Action	Effect(s)	AIC	BIC	-2 Log Likelihood	Chi-Square^a	df	Sig.
0	Entered	Intercept, Party Age (Z-score), GAL-TAN (Z-score), Share of Seats (Z-score), Left-Right (combined, Z-score)	873,188	983,111	823,188	.
1	Entered	Party Age (Z-score) * Share of Seats (Z-score)	859,627	991,535	799,627	23,560	5	<,001
2	Entered	GAL-TAN (Z-score) * Share of Seats (Z-score)	850,206	1004,099	780,206	19,421	5	,002
3	Entered	Left-Right (combined, Z-score) * Party Age (Z-score)	844,798	1020,676	764,798	15,408	5	,009
4	Entered	Left-Right (combined, Z-score) * GAL-TAN (Z-score)	843,271	1041,132	753,271	11,528	5	,042
Stepwise Method: Forward Entry
a. The chi-square for entry is based on the likelihood ratio test.

Model Fitting Information
Model	Model Fitting Criteria	Likelihood Ratio Tests
Intercept Only	1160,102	1182,086	1150,102
Final	843,271	1041,132	753,271	396,831	40	<,001

Pseudo R-Square
Cox and Snell	,484
Nagelkerke	,498
McFadden	,187

Likelihood Ratio Tests
Effect	Model Fitting Criteria			Likelihood Ratio Tests
Effect	AIC of Reduced Model	BIC of Reduced Model	-2 Log Likelihood of Reduced Model	Chi-Square	df	Sig.
Intercept	840,071	1015,949	760,071	6,801	5	,236
Party Age (Z-score)	855,119	1030,996	775,119	21,848	5	<,001
GAL-TAN (Z-score)	902,698	1078,575	822,698	69,428	5	<,001
Share of Seats (Z-score)	856,695	1032,573	776,695	23,425	5	<,001
Left-Right (combined, Z-score)	860,741	1036,618	780,741	27,470	5	<,001
Party Age (Z-score) * Share of Seats (Z-score)	846,540	1022,418	766,540	13,270	5	,021
Left-Right (combined, Z-score) * Party Age (Z-score)	851,210	1027,088	771,210	17,940	5	,003
GAL-TAN (Z-score) * Share of Seats (Z-score)	857,638	1033,515	777,638	24,368	5	<,001
Left-Right (combined, Z-score) * GAL-TAN (Z-score)	844,798	1020,676	764,798	11,528	5	,042
The chi-square statistic is the difference in -2 log-likelihoods between the final model and a reduced model. The reduced model is formed by omitting an effect from the final model. The null hypothesis is that all parameters of that effect are 0.

Parameter Estimates
Legitimation Frame^a		B	Std. Error	Wald	df	Sig.	Exp(B)	95% Confidence Interval for Exp(B)
Legitimation Frame^a		B	Std. Error	Wald	df	Sig.	Exp(B)	Lower Bound	Upper Bound
denying_spec_status	Intercept	-,605	,537	1,273	1	,259
	Party Age (Z-score)	-,982	,570	2,968	1	,085	,374	,122	1,145
	GAL-TAN (Z-score)	,969	,360	7,252	1	,007	2,637	1,302	5,339
	Share of Seats (Z-score)	,973	,521	3,496	1	,062	2,646	,954	7,341
	Left-Right (combined, Z-score)	-,747	,566	1,746	1	,186	,474	,156	1,435
	Party Age (Z-score) * Share of Seats (Z-score)	-,380	,383	,981	1	,322	,684	,323	1,450
	Left-Right (combined, Z-score) * Party Age (Z-score)	-1,022	,424	5,793	1	,016	,360	,157	,827
	GAL-TAN (Z-score) * Share of Seats (Z-score)	2,035	,526	14,944	1	<,001	7,655	2,728	21,482
	Left-Right (combined, Z-score) * GAL-TAN (Z-score)	,359	,340	1,116	1	,291	1,432	,736	2,788
prot_spec_status	Intercept	,348	,487	,510	1	,475
	Party Age (Z-score)	,174	,344	,254	1	,614	1,189	,606	2,335
	GAL-TAN (Z-score)	1,933	,364	28,142	1	<,001	6,914	3,384	14,123
	Share of Seats (Z-score)	,126	,561	,050	1	,823	1,134	,377	3,407
	Left-Right (combined, Z-score)	,038	,483	,006	1	,937	1,039	,403	2,676
	Party Age (Z-score) * Share of Seats (Z-score)	-,341	,337	1,019	1	,313	,711	,367	1,378
	Left-Right (combined, Z-score) * Party Age (Z-score)	-,270	,310	,761	1	,383	,763	,416	1,400
	GAL-TAN (Z-score) * Share of Seats (Z-score)	1,708	,630	7,343	1	,007	5,517	1,604	18,974
	Left-Right (combined, Z-score) * GAL-TAN (Z-score)	,492	,370	1,774	1	,183	1,636	,793	3,377
publ_utility	Intercept	-,044	,474	,009	1	,926
	Party Age (Z-score)	,428	,249	2,948	1	,086	1,534	,941	2,499
	GAL-TAN (Z-score)	,798	,264	9,167	1	,002	2,222	1,325	3,725
	Share of Seats (Z-score)	,074	,533	,019	1	,890	1,077	,379	3,063
	Left-Right (combined, Z-score)	,977	,440	4,935	1	,026	2,656	1,122	6,289
	Party Age (Z-score) * Share of Seats (Z-score)	,213	,323	,434	1	,510	1,237	,657	2,330
	Left-Right (combined, Z-score) * Party Age (Z-score)	-,285	,183	2,430	1	,119	,752	,526	1,076
	GAL-TAN (Z-score) * Share of Seats (Z-score)	1,126	,389	8,370	1	,004	3,085	1,438	6,617
	Left-Right (combined, Z-score) * GAL-TAN (Z-score)	,879	,391	5,057	1	,025	2,410	1,120	5,186
threat&govern	Intercept	,137	,480	,082	1	,775
	Party Age (Z-score)	,168	,378	,198	1	,656	1,183	,564	2,482
	GAL-TAN (Z-score)	1,774	,322	30,328	1	<,001	5,894	3,135	11,081
	Share of Seats (Z-score)	1,589	,536	8,800	1	,003	4,898	1,714	13,991
	Left-Right (combined, Z-score)	-,059	,381	,024	1	,876	,943	,447	1,988
	Party Age (Z-score) * Share of Seats (Z-score)	-,816	,362	5,092	1	,024	,442	,217	,898
	Left-Right (combined, Z-score) * Party Age (Z-score)	-,263	,208	1,597	1	,206	,769	,512	1,156
	GAL-TAN (Z-score) * Share of Seats (Z-score)	,507	,493	1,059	1	,304	1,661	,632	4,363
	Left-Right (combined, Z-score) * GAL-TAN (Z-score)	,600	,367	2,672	1	,102	1,823	,887	3,745
values&culture	Intercept	,514	,540	,906	1	,341
	Party Age (Z-score)	-,859	,324	7,054	1	,008	,423	,225	,798
	GAL-TAN (Z-score)	,711	,384	3,429	1	,064	2,035	,959	4,317
	Share of Seats (Z-score)	,386	,612	,397	1	,528	1,471	,443	4,879
	Left-Right (combined, Z-score)	1,642	,559	8,631	1	,003	5,164	1,727	15,442
	Party Age (Z-score) * Share of Seats (Z-score)	,041	,371	,012	1	,911	1,042	,504	2,155
	Left-Right (combined, Z-score) * Party Age (Z-score)	-1,226	,340	12,997	1	<,001	,293	,151	,571
	GAL-TAN (Z-score) * Share of Seats (Z-score)	,548	,571	,920	1	,337	1,730	,565	5,300
	Left-Right (combined, Z-score) * GAL-TAN (Z-score)	-,786	,567	1,920	1	,166	,456	,150	1,385
a. The reference category is: equality.

Observed and Predicted Frequencies^a

a. This pivot table will not be produced because the total number of pivot table cells (108108000) (including the empty cells) exceeds 2000000.