Canonical Discriminant Analysis

Notes
Output Created		13-JAN-2014 16:24:57
Comments
Input	Data
	Active Dataset	DataSet0
	Filter	<none>
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	24
Missing Value Handling	Definition of Missing	User-defined missing values are treated as missing in the analysis phase.
Missing Value Handling	Cases Used	In the analysis phase, cases with no user- or system-missing values for any predictor variable are used. Cases with user-, system-missing, or out-of-range values for the grouping variable are always excluded.
Syntax		DISCRIMINANT /GROUPS=Grupo(1 2) /VARIABLES=LI1p100 LineasRT ALineas ELineas LE1p100 LetrasRT ALetras ELetras /ANALYSIS ALL /PRIORS EQUAL /STATISTICS=MEAN STDDEV UNIVF BOXM COEFF CORR COV TCOV TABLE CROSSVALID /PLOT=COMBINED MAP /PLOT=CASES /CLASSIFY=NONMISSING POOLED.
Resources	Processor Time	00:00:00.05
Resources	Elapsed Time	00:00:00.20

[DataSet0] C:\Users\erausquing\Desktop\Ortiz Alonso ciegos\ciegos y control.sav

Warnings
No COMBINED plot is available for a single discriminant function.

Analysis Case Processing Summary
Unweighted Cases		N	Percent
Valid		24	100.0
Excluded	Missing or out-of-range group codes	0	0.0
	At least one missing discriminating variable	0	0.0
	Both missing or out-of-range group codes and at least one missing discriminating variable	0	0.0
	Total	0	0.0
Total		24	100.0

Group Statistics
Grupo		Mean	Std. Deviation	Valid N (listwise)
Grupo		Mean	Std. Deviation	Unweighted	Weighted
1.00	LI1p100	104.8333	9.63736	12	12.000
	LineasRT	705.9167	127.30454	12	12.000
	ALineas	22.5000	9.88571	12	12.000
	ELineas	30.7500	16.02909	12	12.000
	LE1p100	101.8333	21.22962	12	12.000
	LetrasRT	642.6667	126.23379	12	12.000
	ALetras	20.1667	7.69691	12	12.000
	ELetras	40.3333	23.65023	12	12.000
2.00	LI1p100	158.9167	26.32130	12	12.000
	LineasRT	855.1667	40.92306	12	12.000
	ALineas	39.5833	11.04913	12	12.000
	ELineas	17.0833	8.06179	12	12.000
	LE1p100	167.5833	22.34628	12	12.000
	LetrasRT	796.1667	51.47256	12	12.000
	ALetras	19.4167	15.34724	12	12.000
	ELetras	29.9167	12.99271	12	12.000
Total	LI1p100	131.8750	33.74626	24	24.000
	LineasRT	780.5417	119.84518	24	24.000
	ALineas	31.0417	13.46325	24	24.000
	ELineas	23.9167	14.23687	24	24.000
	LE1p100	134.7083	39.77598	24	24.000
	LetrasRT	719.4167	122.61673	24	24.000
	ALetras	19.7917	11.87976	24	24.000
	ELetras	35.1250	19.40487	24	24.000

Tests of Equality of Group Means
	Wilks' Lambda	F	df1	df2	Sig.
LI1p100	.330	44.674	1	22	.000
LineasRT	.595	14.949	1	22	.001
ALineas	.580	15.932	1	22	.001
ELineas	.760	6.962	1	22	.015
LE1p100	.287	54.604	1	22	.000
LetrasRT	.591	15.214	1	22	.001
ALetras	.999	.023	1	22	.881
ELetras	.925	1.788	1	22	.195

Pooled Within-Groups Matrices^a
		LI1p100	LineasRT	ALineas	ELineas	LE1p100	LetrasRT	ALetras	ELetras
Covariance	LI1p100	392.845	331.455	-44.337	22.890	221.557	66.705	26.307	94.845
	LineasRT	331.455	8940.572	134.652	-355.019	-631.833	7939.561	-138.167	-789.886
	ALineas	-44.337	134.652	109.905	-87.140	-14.140	260.538	41.504	-74.928
	ELineas	22.890	-355.019	-87.140	160.962	-.367	-461.553	-23.223	90.413
	LE1p100	221.557	-631.833	-14.140	-.367	475.027	-332.583	52.428	100.102
	LetrasRT	66.705	7939.561	260.538	-461.553	-332.583	9292.197	34.129	-949.614
	ALetras	26.307	-138.167	41.504	-23.223	52.428	34.129	147.390	-73.557
	ELetras	94.845	-789.886	-74.928	90.413	100.102	-949.614	-73.557	364.072
Correlation	LI1p100	1.000	.177	-.213	.091	.513	.035	.109	.251
	LineasRT	.177	1.000	.136	-.296	-.307	.871	-.120	-.438
	ALineas	-.213	.136	1.000	-.655	-.062	.258	.326	-.375
	ELineas	.091	-.296	-.655	1.000	-.001	-.377	-.151	.373
	LE1p100	.513	-.307	-.062	-.001	1.000	-.158	.198	.241
	LetrasRT	.035	.871	.258	-.377	-.158	1.000	.029	-.516
	ALetras	.109	-.120	.326	-.151	.198	.029	1.000	-.318
	ELetras	.251	-.438	-.375	.373	.241	-.516	-.318	1.000
a. The covariance matrix has 22 degrees of freedom.

Covariance Matrices^a
Grupo		LI1p100	LineasRT	ALineas	ELineas	LE1p100	LetrasRT	ALetras	ELetras
Total	LI1p100	1138.810	2422.766	198.614	-170.924	1139.571	2229.489	14.582	-56.245
	LineasRT	2422.766	14362.868	793.933	-871.692	1955.600	13570.851	-161.361	-1161.114
	ALineas	198.614	793.933	181.259	-144.257	279.491	933.286	36.357	-118.092
	ELineas	-170.924	-871.692	-144.257	202.688	-234.764	-988.746	-19.540	123.620
	LE1p100	1139.571	1955.600	279.491	-234.764	1582.129	2314.736	37.284	-82.918
	LetrasRT	2229.489	13570.851	933.286	-988.746	2314.736	15034.862	2.612	-1325.446
	ALetras	14.582	-161.361	36.357	-19.540	37.284	2.612	141.129	-68.321
	ELetras	-56.245	-1161.114	-118.092	123.620	-82.918	-1325.446	-68.321	376.549
a. The total covariance matrix has 23 degrees of freedom.

Analysis 1
Box's Test of Equality of Covariance Matrices

Log Determinants
Grupo	Rank	Log Determinant
1.00	8	43.878
2.00	8	38.675
Pooled within-groups	8	46.907
The ranks and natural logarithms of determinants printed are those of the group covariance matrices.

Test Results
Box's M		123.855
F	Approx.	2.052
	df1	36
	df2	1628.589
	Sig.	.000
Tests null hypothesis of equal population covariance matrices.

Summary of Canonical Discriminant Functions
Eigenvalues
Function	Eigenvalue	% of Variance	Cumulative %	Canonical Correlation
1	6.004^a	100.0	100.0	.926
a. First 1 canonical discriminant functions were used in the analysis.

Wilks' Lambda
Test of Function(s)	Wilks' Lambda	Chi-square	df	Sig.
1	.143	35.037	8	.000

Standardized Canonical Discriminant Function Coefficients
	Function
	1
LI1p100	.294
LineasRT	.538
ALineas	.670
ELineas	.302
LE1p100	.798
LetrasRT	-.173
ALetras	-.376
ELetras	-.217

Structure Matrix
	Function
	1
LE1p100	.643
LI1p100	.582
ALineas	.347
LetrasRT	.339
LineasRT	.336
ELineas	-.230
ELetras	-.116
ALetras	-.013
Pooled within-groups correlations between discriminating variables and standardized canonical discriminant functions Variables ordered by absolute size of correlation within function.

Functions at Group Centroids
Grupo	Function
Grupo	1
1.00	-2.346
2.00	2.346
Unstandardized canonical discriminant functions evaluated at group means

Classification Statistics
Classification Processing Summary
Processed		24
Excluded	Missing or out-of-range group codes	0
Excluded	At least one missing discriminating variable	0
Used in Output		24

Prior Probabilities for Groups
Grupo	Prior	Cases Used in Analysis
Grupo	Prior	Unweighted	Weighted
1.00	.500	12	12.000
2.00	.500	12	12.000
Total	1.000	24	24.000

Classification Function Coefficients
	Grupo
	1.00	2.00
LI1p100	-.342	-.273
LineasRT	.248	.275
ALineas	.831	1.130
ELineas	.871	.983
LE1p100	.547	.719
LetrasRT	-.053	-.061
ALetras	.393	.248
ELetras	.484	.431
(Constant)	-117.692	-172.029
Fisher's linear discriminant functions
Casewise Statistics
Case Number		Actual Group	Highest Group					Second Highest Group			Discriminant Scores
			Predicted Group	P(D>d \| G=g)		P(G=g \| D=d)	Squared Mahalanobis Distance to Centroid	Group	P(G=g \| D=d)	Squared Mahalanobis Distance to Centroid	Function 1
			Predicted Group	p	df	P(G=g \| D=d)	Squared Mahalanobis Distance to Centroid	Group	P(G=g \| D=d)	Squared Mahalanobis Distance to Centroid	Function 1
Original	1	1	1	.548	1	1.000	.362	2	.000	16.734	-1.745
	2	1	1	.954	1	1.000	.003	2	.000	22.557	-2.403
	3	1	1	.089	1	1.000	2.887	2	.000	40.849	-4.045
	4	1	1	.848	1	1.000	.037	2	.000	23.855	-2.538
	5	1	1	.652	1	1.000	.204	2	.000	26.454	-2.797
	6	1	1	.917	1	1.000	.011	2	.000	21.045	-2.241
	7	1	1	.584	1	1.000	.300	2	.000	17.177	-1.798
	8	1	1	.919	1	1.000	.010	2	.000	21.073	-2.244
	9	1	1	.489	1	1.000	.479	2	.000	15.999	-1.654
	10	1	1	.324	1	.998	.972	2	.002	13.736	-1.360
	11	1	1	.246	1	1.000	1.346	2	.000	34.251	-3.506
	12	1	1	.598	1	1.000	.278	2	.000	17.348	-1.819
	13	2	2	.227	1	.995	1.459	1	.005	12.141	1.138
	14	2	2	.072	1	1.000	3.232	1	.000	42.118	4.144
	15	2	2	.751	1	1.000	.100	1	.000	19.142	2.029
	16	2	2	.265	1	.997	1.244	1	.003	12.794	1.231
	17	2	2	.163	1	1.000	1.947	1	.000	37.057	3.741
	18	2	2	.811	1	1.000	.057	1	.000	19.827	2.107
	19	2	2	.598	1	1.000	.278	1	.000	27.243	2.873
	20	2	2	.751	1	1.000	.100	1	.000	19.142	2.029
	21	2	2	.319	1	.998	.993	1	.002	13.658	1.350
	22	2	2	.045	1	1.000	4.033	1	.000	44.895	4.354
	23	2	2	.207	1	.994	1.592	1	.006	11.767	1.084
	24	2	2	.784	1	1.000	.075	1	.000	19.516	2.072
Cross-validated^b	1	1	1	.451	8	.999	7.825	2	.001	20.869
	2	1	1	.388	8	1.000	8.478	2	.000	28.848
	3	1	1	.000	8	1.000	27.922	2	.000	84.926
	4	1	1	.241	8	1.000	10.359	2	.000	32.273
	5	1	1	.887	8	1.000	3.657	2	.000	29.021
	6	1	1	.000	8	.997	40.853	2	.003	52.767
	7	1	1	.340	8	.999	9.029	2	.001	22.199
	8	1	1	.000	8	.959	69.342	2	.041	75.661
	9	1	1	.064	8	.990	14.769	2	.010	24.049
	10	1	1	.245	8	.982	10.296	2	.018	18.335
	11	1	1	.011	8	1.000	19.752	2	.000	59.581
	12	1	1	.012	8	.992	19.683	2	.008	29.317
	13	2	1^**	.004	8	.804	22.883	2	.196	25.707
	14	2	2	.000	8	1.000	58.217	1	.000	138.886
	15	2	2	.006	8	.998	21.287	1	.002	33.627
	16	2	2	.715	8	.991	5.390	1	.009	14.805
	17	2	2	.144	8	1.000	12.157	1	.000	53.467
	18	2	2	.816	8	1.000	4.438	1	.000	22.256
	19	2	2	.742	8	1.000	5.148	1	.000	31.482
	20	2	2	.976	8	1.000	2.159	1	.000	19.838
	21	2	2	.658	8	.994	5.905	1	.006	16.052
	22	2	2	.052	8	1.000	15.389	1	.000	71.045
	23	2	2	.269	8	.943	9.942	1	.057	15.540
	24	2	2	.294	8	1.000	9.608	1	.000	25.712
For the original data, squared Mahalanobis distance is based on canonical functions. For the cross-validated data, squared Mahalanobis distance is based on observations.
b. Cross validation is done only for those cases in the analysis. In cross validation, each case is classified by the functions derived from all cases other than that case.

Classification Results^a,c
Grupo			Predicted Group Membership		Total
Grupo			1.00	2.00	Total
Original	Count	1.00	12	0	12
	Count	2.00	0	12	12
	%	1.00	100.0	0.0	100.0
	%	2.00	0.0	100.0	100.0
Cross-validated^b	Count	1.00	12	0	12
	Count	2.00	1	11	12
	%	1.00	100.0	0.0	100.0
	%	2.00	8.3	91.7	100.0
a. 100.0% of original grouped cases correctly classified.
b. Cross validation is done only for those cases in the analysis. In cross validation, each case is classified by the functions derived from all cases other than that case.
c. 95.8% of cross-validated grouped cases correctly classified.