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Pelajari tentang Logistic Regression

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Siska Nuraeni

Academic year: 2024

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LOGISTIC REGRESSION VARIABLES Y

/METHOD=BSTEP(COND) Jenis_Kelamin Usia Pendidikan Pekerjaan Kebiasaan_meroko k

/CLASSPLOT

/PRINT=GOODFIT CORR ITER(1) CI(95)

/CRITERIA=PIN(0.05) POUT(0.10) ITERATE(20) CUT(0.5).

Logistic Regression

Case Processing Summary

Unweighted Casesa N Percent

Selected Cases Included in Analysis Missing Cases Total

Unselected Cases Total

95 100.0

0 .0

95 100.0

0 .0

95 100.0

If weight is in effect, see classification table for the total number of cases.

a.

Dependent Variable Encoding

Original Value Internal Value Kambuh

Tidak Kambuh

0 1

Block 0: Beginning Block

Iteration Historya,b,c

Iteration

-2 Log likelihood

Coefficients Constant Step 0 1

2

131.182 .147

131.182 .148

Constant is included in the model.

a.

Initial -2 Log Likelihood: 131.182 b.

Estimation terminated at iteration number 2 because parameter estimates changed by less than .001.

c.

(2)

Classification Tablea,b

Observed

Predicted Penyakit Jantung Koroner

Percentage Correct Kambuh Tidak Kambuh

Step 0 Penyakit Jantung Koroner Kambuh Tidak Kambuh Overall Percentage

0 44 .0

0 51 100.0

53.7 Constant is included in the model.

a.

The cut value is .500 b.

Variables in the Equation

B S.E. Wald df Sig. Exp(B)

Step 0 Constant .148 .206 .515 1 .473 1.159

Variables not in the Equation

Score df Sig.

Step 0 Variables Jenis Kelamin Usia

Pendidikan Pekerjaan

Kebiasaan Merokok Overall Statistics

.004 1 .951

3.181 1 .075

.355 1 .551

.051 1 .821

.229 1 .632

3.596 5 .609

Block 1: Method = Backward Stepwise (Conditional)

(3)

Iteration Historya,b,c,d

Iteration

-2 Log likelihood

Coefficients

Constant Jenis Kelamin Usia Pendidikan Pekerjaan Step 1 1

2 3 Step 2 1 2 3 Step 3 1 2 3 Step 4 1 2 3 Step 5 1 2 3

127.538 -2.334 -.053 1.027 .282 .094

127.532 -2.448 -.055 1.074 .294 .098

127.532 -2.449 -.055 1.074 .294 .098

127.544 -2.377 1.030 .267 .092

127.538 -2.493 1.077 .279 .096

127.538 -2.494 1.077 .279 .096

127.582 -2.218 1.039 .244

127.576 -2.327 1.086 .255

127.576 -2.328 1.086 .255

127.634 -2.150 1.057 .248

127.628 -2.256 1.104 .259

127.628 -2.256 1.104 .259

127.967 -1.831 1.062

127.962 -1.916 1.105

127.962 -1.917 1.106

Iteration Historya,b,c,d

Iteration

Coefficients Kebiasaan

Merokok Step 1 1

2 3 Step 2 1 2 3 Step 3 1 2 3 Step 4 1 2 3 Step 5 1 2

.048 .051 .051 .049 .052 .052 .057 .059 .059

(4)

Method: Backward Stepwise (Conditional) a.

Constant is included in the model.

b.

Initial -2 Log Likelihood: 131.182 c.

Estimation terminated at iteration number 3 because parameter estimates changed by less than .001.

d.

Omnibus Tests of Model Coefficients

Chi-square df Sig.

Step 1 Step Block Model Step 2a Step

Block Model Step 3a Step

Block Model Step 4a Step

Block Model Step 5a Step

Block Model

3.650 5 .601

3.650 5 .601

3.650 5 .601

-.006 1 .939

3.644 4 .456

3.644 4 .456

-.039 1 .844

3.606 3 .307

3.606 3 .307

-.052 1 .820

3.554 2 .169

3.554 2 .169

-.334 1 .563

3.220 1 .073

3.220 1 .073

A negative Chi-squares value indicates that the Chi-squares value has decreased from the previous step.

a.

Model Summary

Step

-2 Log likelihood

Cox & Snell R Square

Nagelkerke R Square 1

2 3 4 5

127.532a .038 .050

127.538a .038 .050

127.576a .037 .050

127.628a .037 .049

127.962a .033 .045

Estimation terminated at iteration number 3 because parameter estimates changed by less than .001.

a.

(5)

Hosmer and Lemeshow Test

Step Chi-square df Sig.

1 2 3 4 5

4.836 6 .565

3.194 7 .866

9.535 6 .146

.706 2 .703

.000 0 .

Contingency Table for Hosmer and Lemeshow Test

Penyakit Jantung Koroner = Kambuh

Penyakit Jantung Koroner = Tidak Kambuh

Total

Observed Expected Observed Expected

Step 1 1 2 3 4 5 6 7 8 Step 2 1 2 3 4 5 6 7 8 9 Step 3 1 2 3 4 5 6 7 8

9 7.712 2 3.288 11

4 6.462 9 6.538 13

8 8.170 10 9.830 18

5 4.868 6 6.132 11

7 6.434 8 8.566 15

6 3.991 4 6.009 10

3 3.804 7 6.196 10

2 2.560 5 4.440 7

7 6.362 2 2.638 9

3 4.551 5 3.449 8

3 2.793 3 3.207 6

8 8.636 11 10.364 19

4 4.429 6 5.571 10

8 6.866 8 9.134 16

5 3.600 4 5.400 9

4 4.950 9 8.050 13

2 1.812 3 3.188 5

7 6.378 2 2.622 9

2 2.622 2 1.378 4

9 10.594 14 12.406 23

6 6.691 9 8.309 15

9 7.338 8 9.662 17

6 2.788 1 4.212 7

3 4.996 10 8.004 13

2 2.594 5 4.406 7

(6)

Contingency Table for Hosmer and Lemeshow Test

Penyakit Jantung Koroner = Kambuh

Penyakit Jantung Koroner = Tidak Kambuh

Total

Observed Expected Observed Expected

Step 4 1 2 3 4 Step 5 1 2

7 6.386 2 2.614 9

2 2.614 2 1.386 4

24 24.614 31 30.386 55

11 10.386 16 16.614 27

9 9.000 4 4.000 13

35 35.000 47 47.000 82

Classification Tablea

Observed

Predicted Penyakit Jantung Koroner

Percentage Correct Kambuh Tidak Kambuh

Step 1 Penyakit Jantung Koroner Kambuh Tidak Kambuh Overall Percentage

Step 2 Penyakit Jantung Koroner Kambuh Tidak Kambuh Overall Percentage

Step 3 Penyakit Jantung Koroner Kambuh Tidak Kambuh Overall Percentage

Step 4 Penyakit Jantung Koroner Kambuh Tidak Kambuh Overall Percentage

Step 5 Penyakit Jantung Koroner Kambuh Tidak Kambuh Overall Percentage

9 35 20.5

4 47 92.2

58.9

9 35 20.5

4 47 92.2

58.9

9 35 20.5

4 47 92.2

58.9

9 35 20.5

4 47 92.2

58.9

9 35 20.5

4 47 92.2

58.9 The cut value is .500

a.

(7)

Variables in the Equation

B S.E. Wald df Sig. Exp(B)

Step 1a Jenis Kelamin Usia

Pendidikan Pekerjaan

Kebiasaan Merokok Constant

Step 2a Usia Pendidikan Pekerjaan

Kebiasaan Merokok Constant

Step 3a Usia Pendidikan

Kebiasaan Merokok Constant

Step 4a Usia Pendidikan Constant Step 5a Usia

Constant

-.055 .715 .006 1 .939 .947

1.074 .649 2.741 1 .098 2.928

.294 .505 .339 1 .561 1.341

.098 .489 .040 1 .841 1.103

.051 .261 .038 1 .846 1.052

-2.449 1.741 1.979 1 .159 .086

1.077 .648 2.762 1 .097 2.936

.279 .467 .357 1 .550 1.322

.096 .489 .039 1 .844 1.101

.052 .261 .039 1 .843 1.053

-2.494 1.639 2.315 1 .128 .083

1.086 .647 2.822 1 .093 2.963

.255 .450 .321 1 .571 1.290

.059 .258 .052 1 .820 1.060

-2.328 1.400 2.763 1 .096 .098

1.104 .642 2.956 1 .086 3.016

.259 .449 .333 1 .564 1.296

-2.256 1.364 2.738 1 .098 .105

1.106 .641 2.975 1 .085 3.021

-1.917 1.222 2.458 1 .117 .147

(8)

Variables in the Equation

95% C.I.for EXP(B) Lower Upper Step 1a Jenis Kelamin

Usia Pendidikan Pekerjaan

Kebiasaan Merokok Constant

Step 2a Usia Pendidikan Pekerjaan

Kebiasaan Merokok Constant

Step 3a Usia Pendidikan

Kebiasaan Merokok Constant

Step 4a Usia Pendidikan Constant Step 5a Usia

Constant

.233 3.841 .821 10.445 .499 3.606 .423 2.878 .631 1.755

.824 10.456 .529 3.301 .423 2.867 .632 1.755

.834 10.523 .534 3.115 .639 1.759

.857 10.617 .537 3.125

.860 10.614

Variable(s) entered on step 1: Jenis Kelamin, Usia, Pendidikan, Pekerjaan, Kebiasaan Merokok.

a.

(9)

Correlation Matrix

Constant Jenis Kelamin Usia Pendidikan Pekerjaan Step 1 Constant

Jenis Kelamin Usia

Pendidikan Pekerjaan

Kebiasaan Merokok Step 2 Constant

Usia Pendidikan Pekerjaan

Kebiasaan Merokok Step 3 Constant

Usia Pendidikan

Kebiasaan Merokok Step 4 Constant

Usia Pendidikan Step 5 Constant

Usia

1.000 -.336 -.650 -.292 -.470

-.336 1.000 .053 -.379 -.055

-.650 .053 1.000 -.030 -.071

-.292 -.379 -.030 1.000 .267

-.470 -.055 -.071 .267 1.000

-.132 .047 -.101 -.090 -.140

1.000 -.672 -.482 -.520

-.672 1.000 -.010 -.069

-.482 -.010 1.000 .267

-.520 -.069 .267 1.000

-.124 -.104 -.077 -.137

1.000 -.831 -.418

-.831 1.000 .010

-.418 .010 1.000

-.228 -.117 -.042

1.000 -.887 -.440 1.000 -.985

(10)

Correlation Matrix

Kebiasaan

Merokok Usia Pendidikan Usia

Step 1 Constant Jenis Kelamin Usia

Pendidikan Pekerjaan

Kebiasaan Merokok Step 2 Constant

Usia Pendidikan Pekerjaan

Kebiasaan Merokok Step 3 Constant

Usia Pendidikan

Kebiasaan Merokok Step 4 Constant

Usia Pendidikan Step 5 Constant

Usia

-.132 .047 -.101 -.090 -.140 1.000 -.124 -.104 -.077 -.137 1.000 -.228 -.117 -.042 1.000

-.887 -.440

1.000 .006

.006 1.000

-.985 1.000

(11)

Model if Term Removeda

Variable

Model Log Likelihood

Change in -2

Log Likelihood df

Sig. of the Change Step 1 Jenis Kelamin

Usia Pendidikan Pekerjaan

Kebiasaan Merokok Step 2 Usia

Pendidikan Pekerjaan

Kebiasaan Merokok Step 3 Usia

Pendidikan

Kebiasaan Merokok Step 4 Usia

Pendidikan Step 5 Usia

-63.769 .006 1 .939

-65.243 2.955 1 .086

-63.936 .341 1 .559

-63.786 .040 1 .841

-63.785 .038 1 .846

-65.258 2.979 1 .084

-63.948 .359 1 .549

-63.788 .039 1 .844

-63.788 .039 1 .843

-65.312 3.048 1 .081

-63.949 .322 1 .570

-63.814 .052 1 .820

-65.415 3.202 1 .074

-63.981 .334 1 .563

-65.593 3.224 1 .073

Based on conditional parameter estimates a.

(12)

Variables not in the Equation

Score df Sig.

Step 2a Variables Jenis Kelamin Overall Statistics

Step 3b Variables Jenis Kelamin Pekerjaan Overall Statistics

Step 4c Variables Jenis Kelamin Pekerjaan

Kebiasaan Merokok Overall Statistics

Step 5d Variables Jenis Kelamin Pendidikan Pekerjaan

Kebiasaan Merokok Overall Statistics

.006 1 .939

.006 1 .939

.004 1 .947

.039 1 .844

.044 2 .978

.006 1 .940

.051 1 .821

.052 1 .820

.096 3 .992

.022 1 .882

.333 1 .564

.005 1 .945

.064 1 .801

.429 4 .980

Variable(s) removed on step 2: Jenis Kelamin.

a.

Variable(s) removed on step 3: Pekerjaan.

b.

Variable(s) removed on step 4: Kebiasaan Merokok.

c.

Variable(s) removed on step 5: Pendidikan.

d.

Step number: 1

Observed Groups and Predicted Probabilities

20 + +

I T I

I T I

F I T I

R 15 + T T

(13)

E I T T I

Q I T T I

U I T T I

E 10 + TT T +

N I KT T I

C I TKT K TT I

Y I TKT K TTT I

5 + TKT K TTT +

I TTKK K KTT I

I T KKKK TKKK K TKKT K I

I K KKKKT T KKKK KKKKKT K I

Predicted ---+---+---+---+---+---+--- -+---+---+---

Prob: 0 ,1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 1

Group: KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKTTTTTTTTTTTTTTTTTT TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Predicted Probability is of Membership for Tidak Kambuh The Cut Value is ,50

Symbols: K - Kambuh

T - Tidak Kambuh

Each Symbol Represents 1,25 Cases.

Step number: 2

Observed Groups and Predicted Probabilities

(14)

20 + T +

I T I

I T I

F I T T I

R 15 + T T +

E I T T I

Q I T T I

U I T T I

E 10 + T T +

N I KT T I

C I KT K TT I

Y I TKT K TTT I

5 + TKT K TTTT +

I TTKT K TKTT I

I T KKKK TKKK K KKKTK I

I K KKKK T KKKK K KKKTK I

Predicted ---+---+---+---+---+---+--- -+---+---+---

Prob: 0 ,1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 1

Group: KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKTTTTTTTTTTTTTTTTTT TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Predicted Probability is of Membership for Tidak Kambuh

(15)

T - Tidak Kambuh

Each Symbol Represents 1,25 Cases.

Step number: 3

Observed Groups and Predicted Probabilities

32 + +

I I

I I

F I I

R 24 + T +

E I T I

Q I T I

U I T T I

E 16 + T TT +

N I T TT T I

C I T TT T I

Y I K TK T I

8 + K TK TTT +

I T K KK KTT I

I K T K KK KKT I

I KKK K T K KK KKK I

(16)

Predicted ---+---+---+---+---+---+--- -+---+---+---

Prob: 0 ,1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 1

Group: KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKTTTTTTTTTTTTTTTTTT TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Predicted Probability is of Membership for Tidak Kambuh The Cut Value is ,50

Symbols: K - Kambuh

T - Tidak Kambuh

Each Symbol Represents 2 Cases.

Step number: 4

Observed Groups and Predicted Probabilities

80 + +

I I

I I

F I I

R 60 + +

E I T I

Q I T I

U I T I

E 40 + T +

N I T I

C I T

(17)

Y I K T I

20 + K T +

I K T I

I T K K I

I K T K K I

Predicted ---+---+---+---+---+---+--- -+---+---+---

Prob: 0 ,1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 1

Group: KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKTTTTTTTTTTTTTTTTTT TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Predicted Probability is of Membership for Tidak Kambuh The Cut Value is ,50

Symbols: K - Kambuh

T - Tidak Kambuh

Each Symbol Represents 5 Cases.

Step number: 5

Observed Groups and Predicted Probabilities

160 + +

I I

I I

F I I

R 120 + +

E I I

(18)

Q I I

U I I

E 80 + T +

N I T I

C I T I

Y I T I

40 + K +

I K I

I K I

I K K I

Predicted ---+---+---+---+---+---+--- -+---+---+---

Prob: 0 ,1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 1

Group: KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKTTTTTTTTTTTTTTTTTT TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Predicted Probability is of Membership for Tidak Kambuh The Cut Value is ,50

Symbols: K - Kambuh

T - Tidak Kambuh

Each Symbol Represents 10 Cases.

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