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4.3.2.1. Perhitungan Hujan Rancangan Metode Distribusi Normal

Tabel 4.12. Hasil Perhitungan Hujan Rancangan Metode Distribusi Normal

No. Tahun Xi Xi - Xrata-rata (Xi - Xrata-rata)2

1 2005 66.3 -43.139 1860.962 2002 70.2 -39.239 1539.69

3 1996 75.0 -34.439 1186.04

4 1994 78.0 -31.439 988.40

5 2007 86.5 -22.939 526.19

6 1997 87.0 -22.439 503.50

7 2001 88.7 -20.739 430.10

8 2006 90.9 -18.539 343.69

9 1999 91.2 -18.239 332.66

10 2000 95.5 -13.939 194.29

11 2009 98.6 -10.839 117.4812 1993 116.5 7.061 49.86

13 1998 124.5 15.061 226.84

14 2004 135.9 26.461 700.19

15 1995 158.5 49.061 2406.99

16 2003 159.5 50.061 2506.11

17 2010 165.0 55.561 3087.04

18 2008 182.1 72.661 5279.64

Jumlah = 1969.9 -1.7053E-13 22279.68278

Xrata-rata = 109.4

! = 36.202



4.3.2.2. Perhitungan Hujan Rancangan Metode Distribusi Log Normal

Tabel 4.14. Hasil Perhitungan Hujan Rancangan Metode Distribusi Log Normal

No. Tahun Xi lo" Xi lo" Xi - lo" Xrata-rata (lo" Xi - lo" Xrata-rata)2

1 2005 66.3 1.822 -0.197 0.039

2 2002 70.2 1.846 -0.172 0.030

3 1996 75.0 1.875 -0.143 0.020

4 1994 78.0 1.892 -0.126 0.016

5 2007 86.5 1.937 -0.081 0.007

6 1997 87.0 1.940 -0.079 0.006

7 2001 88.7 1.948 -0.070 0.005

8 2006 90.9 1.959 -0.060 0.004

9 1999 91.2 1.960 -0.058 0.003

10 2000 95.5 1.980 -0.038 0.001

11 2009 98.6 1.994 -0.024 0.001

12 1993 116.5 2.066 0.048 0.002

13 1998 124.5 2.095 0.077 0.006

14 2004 135.9 2.133 0.115 0.013

15 1995 158.5 2.200 0.182 0.033

16 2003 159.5 2.203 0.185 0.034

17 2010 165.0 2.217 0.199 0.040

18 2008 182.1 2.260 0.242 0.059

Jumlah = 1969.9 36.3272031 6.88338E-15 0.318254544

lo" Xrata-rata = 2.018

lo" ! = 0.1368

4.3.2.3. Perhitungan Hujan Rancangan Metode Distribusi Gumbel

Tabel 4.16. Hasil Perhitungan Hujan Rancangan Metode Distribusi umbel

No. Tahun Xi Xi - Xrata-rata (Xi - Xrata-rata)2

1 2005 66.30 -43.1 1860.964

2 2002 70.20 -39.2 1539.690

3 1996 75.00-34.4 1186.037

4 1994 78.00 -31.4 988.404

5 2007 86.50 -22.9 526.193

6 1997 87.00 -22.4 503.504

7 2001 88.70 -20.7 430.102

8 2006 90.90 -18.5 343.690

9 1999 91.20 -18.2 332.657

10 2000 95.50 -13.9 194.293

11 2009 98.60 -10.8 117.482

12 1993 116.50 7.1 49.859

13 1998 124.50 15.1 226.83714 2004 135.90 26.5 700.190



15 1995 158.50 49.1 2406.993

16 2003 159.50 50.1 2506.115

17 2010 165.00 55.6 3087.037

18 2008 182.10 72.7 5279.637

Jumlah = 1969.9 -1.7053E-13 22279.68278

Xrata-rata = 109.439 #n = 0.5202

! = 36.202 n = 1.0493

!$n = 34.500896

4.3.2.4. Perhitungan Hujan Rancangan Metode Distribusi Log Pearson !"e ###

Tabel 4.1!. Hasil Perhitungan Hujan Rancangan Metode Distribusi Log Pearson T"#e $$$

No. Tahun Xi lo" Xi lo" Xi - lo" Xrata-rata (lo" Xi - lo" Xrata-rata)2 (lo" Xi - lo" Xrata-rata)

3

1 2005 66.3 1.822 -0.197 0.039 -0.007606

2 2002 70.2 1.846 -0.172 0.030 -0.005074

3 1996 75.0 1.875 -0.143 0.020 -0.002931

4 1994 78.0 1.892 -0.126 0.016 -0.002004

5 2007 86.5 1.937 -0.081 0.007 -0.000535

6 1997 87.0 1.940 -0.079 0.006 -0.000487

7 2001 88.7 1.948 -0.070 0.005 -0.000347

8 2006 90.9 1.959 -0.060 0.004 -0.000212

9 1999 91.2 1.960 -0.058 0.003 -0.000197

10 2000 95.5 1.980 -0.038 0.001 -0.000056

11 2009 98.6 1.994 -0.024 0.001 -0.000014

12 1993 116.5 2.066 0.048 0.002 0.000112

13 1998 124.5 2.095 0.077 0.006 0.000456

14 2004 135.9 2.133 0.115 0.013 0.001523

15 1995 158.5 2.200 0.182 0.033 0.006014

16 2003 159.5 2.203 0.185 0.034 0.006289

17 2010 165.0 2.217 0.199 0.040 0.007917

18 2008 182.1 2.260 0.242 0.059 0.014196

Jumlah = 1969.9 36.3272 6.88338E-15 0.318254544 0.017042613

lo" Xrata-rata = 2.0182

lo" ! = 0.1368

%& = 0.440

4.3.3.1.1. $ji %hi &uadrat erhada" Distribusi NormalDistribusi Normal %urah Hujan Harian Ma&simum Tahunan



'umlah (elas ) *ub + rou# , -

( = 1 ' 3322 *o" N

( = 5.170 = 5.10 u+ ,rou

N = 18 Tahun Xm = 109.439 m

/i = 3.529 ! = 36.202 m

Persamaan Normal

0T 0m &.*

Nilai #eluang , P - masing+masing &elom#o& 20 /

T23 1.244 T60/ = 2.429

T43 1.650 T80/ = 4.636

(23 -1.280 60/ = 0.000

(43 -0.520 80/ = 0.670

Tabel 4.23. 5ji %hi (uadrat Terhada# Distribusi NormalNo.

Nilai ata& lomo Jumlah ata(i - Ei) (i - Ei)2$Ei

i Ei

1 63.1006 0 3.53 -3.53 3.5294

2 63.1006 - 90.6140 7 3.53 3.47 3.4127

3 90.6140 - 109.4389 4 3.53 0.47 0.0627

4 109.4389 - 133.6941 2 3.53 -1.53 0.6627

5 133.6941 5 3.53 1.47 0.6127

Total = 18 17.64705882 8.2804

D( Derajat &ebebasan D( + R +1

R 2 untu& distribusi Normal dan binomial *ub &elom#o& data.

%teoritis !.2!3

%tabel 7 7.881 ,#eluang 7 -

%tabel1 8.213 ,#eluang 1 -

D( 2.13

%teoritis 9 %tabel 7 Distribusi teoritistida& da#at diterima)diguna&an.

%teoritis ' %tabel1( ) Distribusi teoritis da"at diterima*diguna+an.

4.3.3.1.2. $ji %hi &uadrat erhada" Distribusi Log Normal

Distribusi Log Normal %urah Hujan Harian Ma&simum Tahunan


( 1 ::22 ; Log N

( 7.1<3 7.13 *ub rou#

N 1! Tahun log 0m 2.31!2 mm

/i :.728 * log = 3.1:6! mm

Persamaan Log Normal



Log 0T Log 0m &.* Log =

Nilai #eluang , P - masing+masing &elom#o& 23

T23 1.244 T63 2.428

T43 1.673 T!3 4.6:6

(23 +1.2!3 (63 3.333

(43 +3.723 (!3 3.6<3

Tabel 4.21. 5ji %hi (uadrat Terhada# Distribusi Log NormalNo. Nilai ata& lomo Jumlah ata (i - Ei) (i - Ei)2$Ei

i Ei

1 1.8430 1 3.53 -2.53 1.8127

2 1.8430 - 1.9470 3 3.53 -0.53 0.0794

3 1.9470 - 2.0182 6 3.53 2.47 1.7294

4 2.0182 - 2.1099 2 3.53 -1.53 0.6627

5 2.1099 5 3.53 1.47 0.6127 Total = 17 17.64706 4.8971


R 2 untu& distribusi Normal dan binomial

*ub &elom#o& data.

%teoritis 4.!8<

%tabel 7 7.881 ,#eluang 7 -


D( 2.13

%teoritis ' %tabel ,( ) Distribusi teoritis da"at diterima*diguna+an.


4.3.3.1.3. $ji %hi &uadrat erhada" Distribusi Gumbel



4.3.3.1.4. $ji %hi &uadrat erhada" Distribusi Log Pearson !"e ###

Distribusi Log Pearson $$$ %urah Hujan Harian Ma&simum

Tahunan


( 1 ::22 ; Log N

( 7.1<3

7.

13 *ub rou#

N 1! Tahun

Log

0n

2.3

1!

2 Mm

%*

3.4

43

:

/i :.728 *log0n

3.1

:6! Mm

Rumus Distribusi Log

Pearson $$$

Nilai #eluang , P - masing+

masing &elom#o& 23

T

1),1+,n;P)133--

T23 1.2

44T63 2.428

T43 1.6

73T!3 4.6:6

(23

+

1.7

47

(63

3.372

(43

+

3.<

74 (!3 3.68!

Tabel 4.2:. 5ji %hi (uadrat Terhada# Distribusi Log Pearson T"#e $$$

No.

Nilai ata&

lomo

Jumlah ata (i -

Ei) (i - Ei)

2

$Eii Ei

1 1.8068 0 3.53 -3.53 3.5294

21.8068 -

1.9149 4 3.53 0.47 0.0627

31.9149 -

2.0253 7 3.53 3.47 3.4127

42.0253 -

2.1137 2 3.53 -1.53 0.6627

52.1137 5 3.53 1.47 0.6127

Total =

1817.64706

7.6676

( ) XnS K LogXm LogX CS tr tr log.log6+=

Distribusi

umbel

%urah Hujan

Harian

Ma&simum

Tahunan

'umlah

(elas ) *ub +

rou#

, -

(

1 ::22; Log N

(

7

.

1

<

3 7

u+,rou

N

1

!

T

ah

u

n 01 mm

>3

/

i

:

.

7

2

8 * : mm

Pe

rsa

m

aa

n

u

m

be

l

0T

0n ,>t +

>n-;*=)*n

Nilai

#elua

ng

, P -

masi

ng+

masi

ng

&elom#o&

23

T

2

3

1T 2.428




R 2 untu& distribusi Normal dan binomial

*ub &elom#o& data.

%teoritis <.6%tabel 7 7.881 ,#eluang 7 -


D(

%teoritis 9 %tabel 7 Distribusi teoritis tida& da#at diterima)diguna&an.


4.3.3.2.1. $ji %hi &uadrat erhada" Distribusi Normal

Tabel 4.24. Hasil Perhitungan 5ji %hi (uadrat Terhada# Distribusi Normal

No.Xn m (!) = m$(n'1) / (!) (!) (!) (/)

1 2 3 4 5 6 7 8 = :4 - 7;

1 66.30 18 0.947 0.0526 -1.20 0.8925 0.1075 0.055

2 70.20 17 0.895 0.1053 -1.08 0.8685 0.1315 0.026

3 75.00 16 0.842 0.1579 -0.93 0.8337 0.1663 0.008

4 78.00 15 0.789 0.2105 -0.84 0.8103 0.1897 0.021

5 86.50 14 0.737 0.2632 -0.58 0.7322 0.2678 0.005

6 87.00 13 0.684 0.3158 -0.56 0.7255 0.2745 0.041

7 88.70 12 0.632 0.3684 -0.51 0.7088 0.2913 0.077

8 90.90 11 0.579 0.4211 -0.44 0.6842 0.3158 0.105

9 91.20 10 0.526 0.4737 -0.43 0.6806 0.3194 0.154

10 95.50 9 0.474 0.5263 -0.30 0.6331 0.3669 0.159

11 98.60 8 0.421 0.5789 -0.20 0.5948 0.4052 0.174

12 116.50 7 0.368 0.6316 0.35 0.3485 0.6516 0.020

13 124.50 6 0.316 0.6842 0.60 0.2611 0.7389 0.055

14 135.90 5 0.263 0.7368 0.95 0.1602 0.8399 0.103

15 158.50 4 0.211 0.7895 1.65 0.0449 0.9552 0.166

16 159.50 3 0.158 0.8421 1.68 0.0415 0.9585 0.116

17 165.00 2 0.105 0.8947 1.85 0.0226 0.9774 0.083

18 182.10 1 0.053 0.9474 2.38 0.0078 0.9922 0.045

Total = 1787.80 mm N = 18 tahun ma! = 0.174

<rata = 105.16 mm % = 0.8229 o (1/) = 0.376

t > = 32.30 mm % = -0.6257 o (5/) = 0.310

*umber hasil #erhitungan

(!) = iaat ari ta+l ta+l lamiran 8

= (Xn-Xm)$

D < Do (5%) (Persamaan distribusi dapat diterima)

o (5/) (r&amaan i&tri+u&i tia aat itrima)



4.3.3.2.2. $ji -mirno / &olmogoro erhada" Distribusi Log Normal

Tabel 4.27. Hasil Perhitungan 5ji %hi (uadrat Terhada# Distribusi Normal

No.*o" Xi

(!) = m$(n'1)/

(!) = (!) (!) (/)

1 2 3 4 5 6 7 8 = :4 - 7;

1 1.822 18 0.947 0.0526 -1.44 0.9303 0.070 0.017

2 1.846 17 0.895 0.1053 -1.25 0.9012 0.099 0.006

3 1.875 16 0.842 0.1579 -1.02 0.8552 0.145 0.013

4 1.892 15 0.789 0.2105 -0.88 0.8210 0.179 0.032

5 1.937 14 0.737 0.2632 -0.53 0.7155 0.285 0.021

6 1.940 13 0.684 0.3158 -0.51 0.7088 0.291 0.025

7 1.948 12 0.632 0.3684 -0.44 0.6842 0.316 0.053

8 1.959 11 0.579 0.4211 -0.36 0.6552 0.345 0.076

9 1.960 10 0.526 0.4737 -0.35 0.6516 0.348 0.125

10 1.980 9 0.474 0.5263 -0.19 0.6016 0.398 0.128

11 1.994 8 0.421 0.5789 -0.08 0.5479 0.452 0.127

12 2.066 7 0.368 0.6316 0.49 0.2981 0.702 0.070

13 2.095 6 0.316 0.6842 0.72 0.2233 0.777 0.092

14 2.133 5 0.263 0.7368 1.02 0.1443 0.856 0.119

15 2.200 4 0.211 0.7895 1.55 0.0552 0.945 0.155

16 2.203 3 0.158 0.8421 1.57 0.0526 0.947 0.105

17 2.217 2 0.105 0.8947 1.69 0.0377 0.962 0.068

18 2.260 1 0.053 0.9474 2.03 0.0194 0.981 0.033

Total = 34.07 m N = 18 tahun ma! = 0.155

<rata = 2.00 m % = 4.5531o (1/)

= 0.376

t > = 0.13 m % = 20.8187o (5/)

= 0.310


(!) = iaat ari ta+l lamiran 8

= (lo" Xn-lo" Xm)$lo" Xn





4.3.3.2.3. $ji -mirno / &olmogoro erhada" Distribusi Gumbel

Tabel 4.26. Hasil Perhitungan 5ji *mirno? @ (olmogoro? Terhada# Distribusi umbel

No.Xn m

(!) = m$(n'1)/

(!) (!) (/)

1 2 3 4 5 6 8 = :4 - 6;

1 66.30 18 0.947 0.0526 -1.2034 0.1075 0.055

2 70.20 17 0.895 0.1053 -1.0826 0.1315 0.026

3 75.00 16 0.842 0.1579 -0.9340 0.1663 0.008

4 78.00 15 0.789 0.2105 -0.8411 0.1897 0.021

5 86.50 14 0.737 0.2632 -0.5779 0.2678 0.005

6 87.00 13 0.684 0.3158 -0.5624 0.2745 0.041

7 88.70 12 0.632 0.3684 -0.5098 0.2913 0.077

8 90.90 11 0.579 0.4211 -0.4417 0.3158 0.105

9 91.20 10 0.526 0.4737 -0.4324 0.3194 0.154

10 95.50 9 0.474 0.5263 -0.2992 0.3669 0.159

11 98.60 8 0.421 0.5789 -0.2033 0.4052 0.174

12 116.50 7 0.368 0.6316 0.3510 0.6516 0.020

13 124.50 6 0.316 0.6842 0.5987 0.7389 0.055

14 135.90 5 0.263 0.7368 0.9516 0.8399 0.103

15 158.50 4 0.211 0.7895 1.6514 0.9552 0.166

16 159.50 3 0.158 0.8421 1.6824 0.9585 0.116

17 165.00 2 0.105 0.8947 1.8527 0.9774 0.083

18 182.10 1 0.053 0.9474 2.3821 0.9922 0.045


<rata = 105.16 mm % = 0.8229 o (1/) = 0.376t >

= 32.30 mm % = -0.6257 o (5/) = 0.310


= (Xn-X)$ (!) = ?-?-@



4.3.3.2.3. $ji -mirno / &olmogoro erhada" Distribusi Log Pearson !"e ###



Tabel 4.2<. Hasil Perhitungan 5ji *mirno? @ (olmogoro? Terhada# Distribusi Log Pearson

T"#e $$$

No.*o"Xn m

(!) = m$(n'1)/

(!) (!) (!) (/)

1 2 3 4 5 6 7 8 = :4 - 7;

1 1.82 18 0.947 0.0526 -1.4417 0.9303 0.070 0.017

2 1.85 17 0.895 0.1053 -1.2455 0.9012 0.099 0.006

3 1.88 16 0.842 0.1579 -1.0185 0.8552 0.145 0.013

4 1.89 15 0.789 0.2105 -0.8839 0.8210 0.179 0.032

5 1.94 14 0.737 0.2632 -0.5289 0.7155 0.285 0.021

6 1.94 13 0.684 0.3158 -0.5091 0.7088 0.291 0.025

7 1.95 12 0.632 0.3684 -0.4427 0.6842 0.316 0.053

8 1.96 11 0.579 0.4211 -0.3586 0.6552 0.345 0.076

9 1.96 10 0.526 0.4737 -0.3473 0.6516 0.348 0.125

10 1.98 9 0.474 0.5263 -0.1891 0.6016 0.398 0.128

11 1.99 8 0.421 0.5789 -0.0795 0.5479 0.452 0.127

12 2.07 7 0.368 0.6316 0.4931 0.2981 0.702 0.070

13 2.10 6 0.316 0.6842 0.7210 0.2233 0.777 0.092

14 2.13 5 0.263 0.7368 1.0217 0.1443 0.856 0.119

15 2.20 4 0.211 0.7895 1.5497 0.0552 0.945 0.155

16 2.20 3 0.158 0.8421 1.5713 0.0526 0.947 0.105

17 2.22 2 0.105 0.8947 1.6877 0.0377 0.962 0.068

18 2.26 1 0.053 0.9474 2.0261 0.0194 0.981 0.033


<rata = 2.00 mm % = 0.4840 o (1/) = 0.376t >

= 0.127 mm % = -0.9228 o (5/) = 0.310


= (lo" Xn-lo" Xm)$lo" Xn



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