Struktur Produksi Getah, Pertumbuhan dan Kajian Fenotipik Kemenyan (Styrax sp)

47

LAMPIRAN
Lampiran 1. Korelasi Pearson Fenotipik Antar Karakter Produksi Getah dan
Karakter Lainnya
Correlations
TTB
TTB

TBC

DBH

TKB

PTj

LTj

JCPT


SCPT

TT

LuasT

P

Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N

Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)
N
Pearson Correlation
Sig. (2-tailed)

N

1
100
,590**
,000
100
,461**
,000
100
,491**
,000
100
,307**
,002
100
,324**
,001
100
,434**

,000
100
,195
,052
100
,440**
,000
100
,465**
,000
100
,296**
,003
100

TBC
,590**
,000
100
1

100
,006
,951
100
,045
,653
100
-,079
,433
100
-,076
,452
100
,026
,800
100
,214*
,033
100
-,440**

,000
100
-,177
,077
100
-,018
,857
100

DBH
,461**
,000
100
,006
,951
100
1
100
,869**
,000

100
,738**
,000
100
,708**
,000
100
,643**
,000
100
-,002
,981
100
,496**
,000
100
,816**
,000
100
,730**

,000
100

TKB
,491**
,000
100
,045
,653
100
,869**
,000
100
1
100
,680**
,000
100
,684**
,000

100
,713**
,000
100
,075
,458
100
,487**
,000
100
,799**
,000
100
,734**
,000
100

PTj
,307**
,002

100
-,079
,433
100
,738**
,000
100
,680**
,000
100
1
100
,910**
,000
100
,624**
,000
100
,081
,424

100
,409**
,000
100
,886**
,000
100
,536**
,000
100

LTj
,324**
,001
100
-,076
,452
100
,708**
,000
100
,684**
,000
100
,910**
,000
100
1
100
,685**
,000
100
,060
,555
100
,440**
,000
100
,841**
,000
100
,492**
,000
100

JCPT
,434**
,000
100
,026
,800
100
,643**
,000
100
,713**
,000
100
,624**
,000
100
,685**
,000
100
1
100
,055
,590
100
,468**
,000
100
,727**
,000
100
,499**
,000
100

SCPT
,195
,052
100
,214*
,033
100
-,002
,981
100
,075
,458
100
,081
,424
100
,060
,555
100
,055
,590
100
1
100
-,014
,893
100
,033
,747
100
,001
,994
100

TT
,440**
,000
100
-,440**
,000
100
,496**
,000
100
,487**
,000
100
,409**
,000
100
,440**
,000
100
,468**
,000
100
-,014
,893
100
1
100
,709**
,000
100
,349**
,000
100

LuasT
,465**
,000
100
-,177
,077
100
,816**
,000
100
,799**
,000
100
,886**
,000
100
,841**
,000
100
,727**
,000
100
,033
,747
100
,709**
,000
100
1

**. Correlation is significant at the 0.01 level (2-tailed).
*. Correlation is significant at the 0.05 level (2-tailed).

Universitas Sumatera Utara

100
,631**
,000
100

P
,296**
,003
100
-,018
,857
100
,730**
,000
100
,734**
,000
100
,536**
,000
100
,492**
,000
100
,499**
,000
100
,001
,994
100
,349**
,000
100
,631**
,000
100
1
100

48

Lampiran 2. Uji KMO dan Eigenvalue Keragaman Karakter Pertumbuhan
a. Uji KMO

KMO and Bartlett's Test
Kaiser-Meyer-Olkin Measure of Sampling Adequacy.
Bartlett's Test of Sphericity

Approx. Chi-Square

,752
1230,602

df

55

Sig.

,000

b. Principal Component Analysis: TTB; TBC; DBH; TKB; PTj; LTj; JCPT;
SCPT; TT; Lua
Eigenanalysis of the Correlation Matrix
Eigenvalue
0,1167
Proportion
0,011
Cumulative
0,987

5,9160

1,7103

0,9320

0,8820

0,6686

0,4077

0,2273

0,538

0,155

0,085

0,080

0,061

0,037

0,021

0,538

0,693

0,778

0,858

0,919

0,956

0,977

Eigenvalue
Proportion
Cumulative

0,0981
0,009
0,996

0,0264
0,002
0,999

0,0147
0,001
1,000

Variable
TTB
TBC
DBH
TKB
PTj
LTj
JCPT
SCPT
TT
LuasT
P

PC1
0,224
-0,016
0,370
0,369
0,354
0,353
0,330
0,029
0,266
0,393
0,301

PC2
-0,503
-0,728
-0,017
-0,070
0,068
0,066
-0,044
-0,357
0,249
0,109
0,004

PC3
-0,038
0,268
0,181
0,126
-0,043
-0,051
0,003
-0,815
-0,351
-0,090
0,281

Variable
TTB
TBC
DBH
TKB
PTj
LTj
JCPT
SCPT
TT
LuasT
P

PC9
0,026
-0,018
0,261
-0,185
-0,426
0,690
-0,036
0,029
0,133
-0,458
0,097

PC10
0,255
-0,232
-0,027
0,111
0,547
-0,137
0,080
-0,025
0,052
-0,734
0,039

PC11
-0,552
0,559
-0,007
0,050
0,178
-0,062
-0,005
-0,013
0,559
-0,176
-0,004

PC4
-0,520
0,033
0,043
0,030
0,346
0,294
-0,004
0,329
-0,629
-0,035
0,121

PC5
-0,118
-0,151
0,199
0,263
-0,322
-0,406
-0,190
0,305
0,044
-0,118
0,664

PC6
-0,173
-0,053
-0,149
0,144
-0,315
-0,119
0,882
0,036
-0,083
-0,144
-0,066

PC7
-0,101
-0,065
0,547
0,510
-0,131
-0,116
-0,144
0,033
-0,077
-0,088
-0,600

PC8
0,022
-0,007
-0,631
0,665
-0,125
0,302
-0,216
-0,055
0,020
-0,036
0,009

Universitas Sumatera Utara

49

Lampiran 3. Hasil Model Pendugaan Regresi Linear Berganda
a. Uji Normalitas Residual

b. Uji Multikolinearitas
Coefficients
Model

a

Standardiz
ed
Unstandardized

Coefficient

Coefficients

s

Collinearity
Correlations

Statistics

ZeroB
1

Std. Error

182,705

114,475

TTB

-13,003

15,931

TBC

7,879

DBH

(Consta

Beta

t

Sig.

order

Toleran
Partial

Part

ce

VIF

1,596

,114

-,265

-,816

,417

,296

-,086

-,054

,042

23,662

15,680

,163

,502

,617

-,018

,053

,034

,042

23,689

7,712

3,081

,383

2,503

,014

,730

,256

,167

,190

5,256

TKB

296,106

114,924

,410

2,577

,012

,734

,263

,172

,176

5,698

PTj

-19,581

29,084

-,180

-,673

,503

,536

-,071

-,045

,062

16,037

LTj

-23,317

21,328

-,192

-1,093

,277

,492

-,115

-,073

,143

6,969

nt)

Universitas Sumatera Utara

50

JCPT

-,768

1,577

-,054

-,487

,628

,499

-,052

-,032

,368

2,721

SCPT

-1,301

52,854

-,002

-,025

,980

,001

-,003

-,002

,889

1,125

TT

-2,788

16,981

-,052

-,164

,870

,349

-,017

-,011

,045

22,265

1,614

,978

,540

1,650

,102

,631

,172

,110

,041

24,098

LuasT

a. Dependent Variable: Produksi

c. Uji Autokorelasi
b

Model Summary
Model
R
1

,777

R Square
a

,604

Adjusted R

Std. Error of the

Square

Estimate
,560

Durbin-Watson

113,53032

2,004

a. Predictors: (Constant), Sudut Cabang, Diameter Batang, Tinggi Bebas Cabang, Jumlah
Cabang, Tinggi tajuk, Panjang Tajuk, Tebal kulit Batang, Lebar Tajuk, Tinggi Total, Luas
Tajuk
b. Dependent Variable: Produksi Getah

Universitas Sumatera Utara

51

d. Uji Heteroskedastistas

Universitas Sumatera Utara

52

Lampiran 4. Perhitungan Nilai Heritabilitas
Heritabilitas
1. Produksi Getah (P)
δ2f = 106693, δ 2b = 31914, δ 2e =
56505
h2 = δ2f / (δ2f + δ 2b + δ 2e)
= 106693/(106693 + 31914 +
56505)
= 0,55
2
h f = δ2f/(δ2f + δ2b/nb+δ2e)
= 106693/ (106693 + 31914/2 +
56505)
= 0,60
2. Tinggi Total (TTB)
δ2f = 2,30 ; δ 2b = 0,05 ; δ 2e = 16,02
h2 = δ2f / (δ2f + δ 2b + δ 2e)
= 2,30/ (2,30 + 0,05 + 16,02)
= 0,12
2
h f = δ2f/(δ2f + δ2b/nb+δ2e)
= 2,30/ (2,30 + 0,05/2 + 16,02)
= 0,13
3. Tinggi Bebas Cabang (TBC)
δ2f = 11,19 ; δ 2b = 0,12 ; δ 2e = 8,24
h2 = δ2f / (δ2f + δ 2b + δ 2e)
= 11,19/ (11,19 + 0,12 + 8,24)
= 0,57
2
h f = δ2f/(δ2f + δ2b/nb+δ2e)
= 11,19/ (11,19 + 0,12/2 + 8,24)
= 0,58
4. Diameter Batang (DBH)
δ2f = 219,2 ; δ 2b = 11,50 ; δ 2e =
133,6
h2 = δ2f / (δ2f + δ 2b + δ 2e)
= 219,2/ (219,2 + 11,50 + 133,6)
= 0,60
2
h f = δ2f/(δ2f + δ2b/nb+δ2e)

= 219,2/ (219,2 + 11,50/2 +
133,6)
0,61
5. Tebal Kulit (TKB)
δ2f = 0,01 ; δ 2b = 0,07 ; δ 2e = 0,13
h2 = δ2f / (δ2f + δ 2b + δ 2e)
= 0,01/ (0,01 + 0,07 + 0,13)
= 0,07
2
h f = δ2f/(δ2f + δ2b/nb+δ2e)
= 0,01/ (0,01 + 0,07/2 + 0,13)
= 0,08
6. Sudut Cabang Pertama (SCPT)
δ2f = 0,04 ; δ 2b = 0,01 ; δ 2e = 0,02
h2 = δ2f / (δ2f + δ 2b + δ 2e)
= 0,04/ (0,04 + 0,01 + 0,02)
= 0,58
2
h f = δ2f/(δ2f + δ2b/nb+δ2e)
= 0,04/ (0,04 + 0,01/2 + 0,02)
= 0,61
7. Jumlah Cabang (JCPT)
δ2f = 61,3 ; δ 2b = 310,2 ; δ 2e = 249
h2 = δ2f / (δ2f + δ 2b + δ 2e)
= 61,3/ ( 61,3 + 310,2 + 249)
= 0,1
2
h f = δ2f/(δ2f + δ2b/nb+δ2e)
= 61,3/ ( 61,3 + 310,2/2 + 249)
= 0,13
8. Panjang Tajuk (PTj)
δ2f = 7,69 ; δ 2b = 2,05 ; δ 2e = 4,23
h2 = δ2f / (δ2f + δ 2b + δ 2e)
= 7,69/ (7,69 + 2,05 + 4,23)
= 0,55
2
h f = δ2f/(δ2f + δ2b/nb+δ2e)

Universitas Sumatera Utara

53

= 7,69/ (7,69 + 2,05/2 + 4,23)
= 0,59
9. Lebar Tajuk (LTj)
δ2f = 5,20 ; δ 2b = 1,65 ; δ 2e = 3,31
h2 = δ2f / (δ2f + δ 2b + δ 2e)
= 5,20/ (5,20 + 1,65 + 3,31)
= 0,51
2
h f = δ2f/(δ2f + δ2b/nb+δ2e)
= 5,20/ (5,20 + 1,65/2 + 3,31)
= 0,56

10. Tinggi Tajuk (TT)
δ2f = 0,69 ; δ 2b = 0,69 ; δ 2e = 9,30
h2 = δ2f / (δ2f + δ 2b + δ 2e)
= 0,69/ (0,69 + 0,69 + 9,30)

= 0,06
h f = δ2f/(δ2f + δ2b/nb+δ2e)
= 0,69/ (0,69 + 0,69/2 + 9,30) =
0,07
2

11. Luas Tajuk ( LuasT)
δ2f = 6554 ; δ 2b = 1314,5 ; δ 2e =
7004
h2 = δ2f / (δ2f + δ 2b + δ 2e)
= 6554/ ( 6554 + 13314,5 + 7004)
= 0,44
2
h f = δ2f/(δ2f + δ2b/nb+δ2e)
= 6554/ ( 6554 + 13314,5/2 +
7004)
= 0, 46

Universitas Sumatera Utara

54

Lampiran 5. Hasil analisis varians dan harapan kuadrat tengah dari single tree plot
design untuk suatu karakter
1. General Linear Model: TTB (Tinggi Total)
Analysis of Variance
Source
Famili
Blok
Error
Lack-of-Fit
Pure Error
Total

DF
2
1
26
2
24
29

Adj SS
22,867
16,133
416,467
0,467
416,000
455,467

Adj MS
11,4333
16,1333
16,0179
0,2333
17,3333

F-Value
0,71
1,01

P-Value
0,499
0,325

0,01

0,987

2. General Linear Model: TBC (Tinggi Bebas Cabang)
Analysis of Variance
Source
Famili
Blok
Error
Lack-of-Fit
Pure Error
Total

DF
2
1
26
2
24
29

Adj SS
61,250
8,008
214,317
24,117
190,200
283,575

Adj MS
30,625
8,008
8,243
12,058
7,925

F-Value
3,72
0,97

P-Value
0,038
0,333

1,52

0,239

3. General Linear Model: DBH (Diameter Batang)
Analysis of Variance
Source
Famili
Blok
Error
Lack-of-Fit
Pure Error
Total

DF
2
1
26
2
24
29

Adj SS
1144,0
110,6
3474,2
268,5
3205,7
4728,8

Adj MS
572,0
110,6
133,6
134,2
133,6

F-Value
4,28
0,83

P-Value
0,025
0,371

1,00

0,381

4. General Linear Model: TKB (Tebal Kulit Batang)
Source
Famili
Blok
Error
Lack-of-Fit
Pure Error
Total

DF
2
1
26
2
24
29

Adj SS
0,3167
0,2613
3,3567
0,6647
2,6920
3,9347

Adj MS
0,1583
0,2613
0,1291
0,3323
0,1122

F-Value
1,23
2,02

P-Value
0,310
0,167

2,96

0,071

Universitas Sumatera Utara

55

5. General Linear Model: PTj (Panjang Tajuk)
Analysis of Variance
Source
Famili
Blok
Error
Lack-of-Fit
Pure Error
Total

DF
2
1
26
2
24
29

Adj SS
31,045
0,133
110,089
2,245
107,844
141,267

Adj MS
15,5223
0,1333
4,2342
1,1223
4,4935

F-Value
3,67
0,03

P-Value
0,040
0,861

0,25

0,781

6. General Linear Model: LTj (Lebar Tajuk)
Analysis of Variance
Source
Famili
Blok
Error
Lack-of-Fit
Pure Error
Total

DF
2
1
26
2
24
29

Adj SS
27,428
0,003
85,979
2,615
83,364
113,410

Adj MS
13,7141
0,0028
3,3069
1,3075
3,4735

F-Value
4,15
0,00

P-Value
0,027
0,977

0,38

0,690

7. General Linear Model: JCPT (Jumlah Cabang Pembentuk Tajuk)
Analysis of Variance
Source
Famili
Blok
Error
Lack-of-Fit
Pure Error
Total

DF
2
1
26
2
24
29

Adj SS
743,2
869,4
6474,2
535,6
5938,6
8086,8

Adj MS
371,6
869,4
249,0
267,8
247,4

F-Value
1,49
3,49

P-Value
0,243
0,073

1,08

0,355

8. General Linear Model: TT (Tinggi Tajuk)
Analysis of Variance
Source
Famili
Blok
Error
Lack-of-Fit
Pure Error
Total

DF
2
1
26
2
24
29

Adj SS
21,35
44,41
241,82
28,02
213,80
307,58

Adj MS
10,675
44,408
9,301
14,008
8,908

F-Value
1,15
4,77

P-Value
0,333
0,038

1,57

0,228

Universitas Sumatera Utara

56

9. General Linear Model: LuasT (Luas Tajuk)
Analysis of Variance
Source
Famili
Blok
Error
Lack-of-Fit
Pure Error
Total

DF
2
1
26
2
24
29

Adj SS
40224
9633
182092
15321
166771
231949

Adj MS
20112
9633
7004
7661
6949

F-Value
2,87
1,38

P-Value
0,075
0,252

1,10

0,348

10. General Linear Model: SCPT (Sudut Cabang Pembentuk Tajuk)
Analysis of Variance
Source
Famili
Blok
Error
Lack-of-Fit
Pure Error
Total

DF
2
1
26
2
24
29

Adj SS
0,21780
0,01243
0,63236
0,03610
0,59626
0,86259

Adj MS
0,10890
0,01243
0,02432
0,01805
0,02484

F-Value
4,48
0,51

P-Value
0,021
0,481

0,73

0,494

11. General Linear Model: P (Produksi Getah)
Analysis of Variance
Source
Famili
Blok
Error
Lack-of-Fit
Pure Error
Total

DF
2
1
26
2
24
29

Adj SS
539782
120333
1469132
108972
1360160
2129247

Adj MS
269891
120333
56505
54486
56673

F-Value
4,78
2,13

P-Value
0,017
0,156

0,96

0,397

Universitas Sumatera Utara