Data Curah Hujan Harian TahunJanFebMarAprMayJunJulAugSepOctNovDec

200544.317.721.755.665.857.062.942.670.426.987.954.687.9200663.636.084.853.663.870.032.546.884.359.646.4124.8124.8200737.47.026.185.288.218.066.662.079.038.560.839.288.2200874.041.845.658.445.015.060.046.062.856.481.627.281.6200984.681.061.063.079.018.066.662.079.038.560.839.284.6201038.028.085.227.852.035.052.057.071.040.077.540.485.2201161.518.697.056.043.031.049.249.026.688.654.676.897.0201253.129.070.053.855.626.955.945.770.6100.092.136.9100.0201347.472.855.538.426.236.030.893.982.367.557.898.098.020145.212.551.035.065.532.564.065.049.078.163.0112.0112.0N = 10 TahunTahunCurah Hujan Harian Maksimum (mm)

200587.92006124.8200788.2200881.6200984.6201085.220119720121002013982014112N = 10 Tahun959.3

Parameter StatistikCurah Hujan Rata Rata (X)X=95.93Standar Deviasi (Sd)Sd=12.9876903258Koefisien Skewness (Cs)Cs=216778.7064=1.374321527157735.073011122Pengukuran Kurtosis (Ck)Ck=0.1*841298.763689699=2.956804095528452.97613601Koefisien Variasi (Cv)Cv=0.1353871607

MeanReduced Variated Sebagai Fungsi Waktu Balik (Periode Ulang, T)Yt = -ln{-ln[(T-1)/T]}

TYt(Tahun)(Reduced Variate)20.366551.4999102.2504202.9702253.1985503.90191004.60012005.2958

Reduced Mean, Yn

n0123456789100.49520.49960.50350.50700.51000.51280.51570.51810.52020.5220200.52360.52520.52680.52830.52960.53090.53200.53320.53430.5353300.53620.53710.53800.53880.53960.54020.54180.54180.54240.5430400.54360.54420.54480.54530.54580.54630.54680.54730.54770.5481500.54850.54890.54930.54970.55010.55040.55080.55110.55150.5518600.55210.55240.55270.55300.55330.55350.55380.55400.55430.5545700.55480.55500.55520.55550.55570.55570.55610.55630.55650.5567800.55690.55720.55720.55740.55760.55760.55800.55810.55830.5585900.55860.55870.55890.55910.55920.55920.55950.55960.55960.55991000.56000,56020,56030,56040,56060,56060,56080,56090,56100,5611

Reduced Standard Deviation, Sn

n0123456789100.94960.96760.98330.99711.00951.02061.03161.04111.04931.0565201.06281.06961.07541.08111.08641.09151.08611.10041.10471.1086301.11241.11591.11931.12261.12551.12871.13131.13391.13631.1388401.14131.14361.14581.14801.14991.15191.15381.15571.15741.1590501.16071.16231.16381.16581.16671.16811.16961.17081.17211.1734601.17471.17591.17701.17821.17931.18031.18141.18241.18341.1844701.18541.18541.18731.18811.18901.18981.19061.19151.19231.1930801.19381.19451.19531.19591.19671.19731.19871.19871.19941.2001901.20071.20131.20201.20261.20321.20381.20441.20491.20551.20601001.20651.20691.20731.20771.20811.20841.20871.20901.20931.2096

Distribusi GumbelTahunXiXXi-X(Xi-X)^2(Xi-X)^3(Xi-X)^4Kala UlangYtYnSnKX (mm)T200587.995.93-8.0364.4809-517.7816274157.78646481(Tahun)(Reduced Variate)2006124.895.9328.87833.476924062.478103694683.74283360920.36650.49520.9496-0.13694200788.295.93-7.7359.7529-461.8899173570.4090584151.49990.49520.94961.058110200881.695.93-14.33205.3489-2942.64973742168.1707312101102.25040.49520.94961.848120200984.695.93-11.33128.3689-1454.41963716478.5744872101202.97020.49520.94962.606130201085.295.93-10.73115.1329-1235.37601713255.58466241253.19850.49520.94962.84713320119795.931.071.14491.2250431.31079601503.90190.49520.94963.588143201210095.934.0716.564967.419143274.3959120120139895.932.074.28498.86974318.36036801201411295.9316.07258.24494149.99554366690.4283760099TrYtYnSnKX (mm)N = 10 Tahun959.31686.80121677.87064841298.76368969951.49990.49520.94961.05811095.932.50.67170.49520.94960.18698Sd=12.98769032581.670.08740.49520.9496-0.429901.25-0.47590.49520.9496-1.02383

Log Pearson Type IIIDistribusi Log Normal dan Log Pearson Type IIITahunXiYi = Log XiLog YiLog Yi - Log Y(Log Yi - Log Y)^2(Log Yi - Log Y)^3(Log Yi - Log Y)^4Kala UlangLog XrtCsGG.Silog XTXT (mm)21.981.00-0.1160-0.00141.976895200587.91.94398887510.2886937752-0.00758494025.753132E-05-0.00000043640.000000003351.981.000.79000.00961.9878972006124.82.09621458530.32143573850.0251570230.00063287580.00001592130.0000004005101.981.001.33300.01621.994499200788.21.94546858510.2890242223-0.00725449320.0000526277-0.00000038180.0000000028251.981.001.96700.02392.0021100200881.61.91169015880.2814175044-0.0148612110.0002208556-0.00000328220.0000000488501.981.002.40700.02922.0075102200984.61.9273703630.2849651766-0.01131353890.0001279962-0.00000144810.00000001641001.981.002.82400.03432.0125103201085.21.93043959480.2856562167-0.01062249880.0001128375-0.00000119860.0000000127Sumber : Hasil Perhitungan, 20142011971.98677173430.29814797270.00186925720.00000349410.00000000650201210020.30102999570.00475128020.00002257470.00000010730.00000000052013981.99122607570.29912057090.00284185540.00000807610.0000000230.000000000120141122.04921802270.31158816680.01530945130.00023437930.00000358820.0000000549TrLog XrtCsGG.Silog XTXT (mm)N = 10 Tahun959.319.7823879947-0.00170781510.00147324830.00001289920.0000005451.981.000.79000.00961.987897Y=1.97823879952.51.981.000.03500.00041.978795Log Y=0.29627871551.671.981.00-0.4420-0.00541.972994Log Xrt1.981.251.981.00-0.857-0.01041.967893Si0.0121377438

Parameter Statistik LOGIIICurah Hujan Rata Rata (X)X=95.93Standar Deviasi (Sd)Sd=0.0121377438Koefisien Skewness (Cs)Cs=0.0001289918=1.00188037580.0001287498Pengukuran Kurtosis (Ck)Ck=0.1*0.00000054=2.48806434590.0000000217Koefisien Variasi (Cv)Cv=0.0001265271

Hasil Dispersi Sta Sampali

NoDispersiHasil DispersiParameter StatistikParameter Hasil Logaritma1Sd12.98769032580.01213774382Cv0.13538716070.00012652713Cs1.3743215271.00188037584Ck2.95680409552.48806434590.00037958133.0000002561

Ploting DataTahunXim(Xi)P(Xm)P(Xm)

200587.911009.090909090911.11111111112006124.8211218.181818181822.2222222222200788.2381.627.272727272733.3333333333200881.649736.363636363644.4444444444200984.6584.645.454545454555.5555555556201085.269854.545454545566.66666666672011977124.863.636363636477.77777777782012100887.972.727272727388.8888888889201398988.281.818181818210020141121085.290.9090909091111.1111111111P(Xm) = Data urut dari terbesar ke terkecilm = Nomor Urutn = Jumlah DataP(Xm) = (m/n+1)x100%

Frekuensi CsTabel 2.2: Nilai G untuk distribusi Log Pearson Type III (Montarcih, 2009)

CsKala Ulang1.01011.05261.11111.25251025501002001000Kemungkinan Terjadinya Banjir (%)999590805020104210.50.10-2.326-1.645-1.282-0.84200.8421.2821.7512.0542.3262.5763.090.1-2.252-1.616-1.27-0.846-0.0170.8361.2921.7852.1072.42.673.2350.2-2.175-1.586-1.258-0.85-0.0330.831.3011.8182.1592.4722.7633.380.3-2.104-1.555-1.245-0.853-0.050.8241.3091.8492.2112.5442.8563.5250.4-2.029-1.524-1.231-0.855-0.0660.8161.3171.882.2612.6152.9493.670.5-1.955-1.491-1.216-0.856-0.0830.8081.3231.912.3112.6863.0413.8150.6-1.88-1.458-1.2-0.857-0.0990.81.3281.9392.3592.7553.1323.960.7-1.806-1.423-1.183-0.857-0.1160.791.3331.9672.4072.8243.2234.105INTERPOLASI0.8-1.733-1.388-1.166-0.856-0.1320.781.3361.9932.4532.8913.3124.25Cs1.672.51.25251025501000.9-1.66-1.353-1.147-0.854-0.1480.7691.3392.0182.4982.9573.4014.3951.00-0.442040.035-0.857-0.1160.791.3331.9672.4072.8241-1.588-1.317-1.128-0.852-0.1640.7581.342.0432.5423.0223.4894.54-2.015384-1.5179281.1-1.518-1.28-1.107-0.848-0.180.7451.3412.0062.5853.0873.5754.681.2-1.449-1.243-1.086-0.844-0.1950.7321.342.0872.6263.1493.6614.820.41841.3-1.388-1.206-1.064-0.838-0.210.7191.3392.1082.6663.2113.7454.9651.4-1.318-1.163-1.041-0.832-0.2250.7051.3372.1282.7063.2713.8285.111.5-1.256-1.131-1.018-0.825-0.240.691.3332.1462.7433.333.915.25-1.53241.6-1.197-1.093-0.994-0.817-0.2540.6751.3292.1632.783.3883.995.399995901.7-1.14-1.056-0.97-0.808-0.2680.661.3242.1792.8153.4444.0695.5251.01011.05261.11111.8-1.087-1.02-0.945-0.799-0.2820.6431.3182.1932.8483.4994.1475.66-1.6965-1.3705-1.1565805020104211.9-1.037-0.984-0.92-0.788-0.2940.6271.312.2072.8813.5534.2235.785ERROR:#REF!251025501002-0.99-0.949-0.895-0.777-0.3070.6091.3022.2192.9123.6054.2985.910.85-0.855-0.140.77451.33752.00552.1-0.946-0.914-0.869-0.765-0.3190.5921.2942.232.9423.6564.3726.0552.2-0.905-0.882-0.844-0.752-0.330.5741.2842.242.973.7054.4546.2150030002.3-0.867-0.85-0.819-0.739-0.3410.5551.2742.2482.9973.7534.5156.333G18242.4-0.832-0.819-0.795-0.725-0.3510.5371.2622.2563.0233.84.5846.467-0.3245721924ERROR:#DIV/0!174118.9642.5-0.799-0.79-0.771-0.711-0.360.5181.252.2623.0483.8453.6526.60.91866737895.58042.6-0.769-0.762-0.747-0.696-0.3680.4991.2382.2673.0713.8894.7186.730.467145143624.52542.7-0.74-0.736-0.724-0.681-0.3760.4791.2242.2723.0973.9324.7836.860.526715651122.02592.8-0.714-0.711-0.702-0.666-0.3840.461.212.2753.1143.9734.8476.990.272977743232.67232.9-0.69-0.688-0.681-0.651-0.390.441.1952.2773.1344.0134.9097.121.5448287103-20.69213-0.667-0.665-0.66-0.636-0.3960.421.182.2783.1524.0514.977.25-1.219383315785.4090Sumber : Hidrologi Teknik CD. Soemarto-0.633467735245.00830.223567472420.0054Harga G pada distribusi Log Pearson (Cs negatif)-1.776478856437.9699

CsKala Ulang1.01011.05261.11111.25251025501002001000Kemungkinan Terjadinya Banjir (%)999590805020104210.50.10-2.326-1.645-1.282-0.84200.8421.2821.7512.0542.3262.5763.09-0.1-2.4-1.673-1.292-0.8360.0170.8461.271.71622.2522.4822.95-0.2-2.472-1.7-1.301-0.830.0330.851.2581.681.9452.1782.3882.81-0.3-2.544-1.726-1.309-0.8240.050.8531.2451.6431.892.1042.2942.675-0.4-2.615-1.75-1.317-0.8160.0660.8551.2311.6061.8342.0292.2012.54-0.5-2.686-1.774-1.323-0.8080.0830.8561.2161.5671.7771.9552.1082.4-0.6-2.755-1.797-1.328-0.80.0990.8571.21.5281.721.882.0162.275-0.7-2.824-1.819-1.333-0.790.1160.8571.1831.4881.6631.8061.9262.15-0.8-2.891-1.839-1.336-0.780.1320.8561.1661.4481.6061.7331.8372.035-0.9-2.957-1.858-1.339-0.7690.1480.8541.1471.4071.5491.661.7491.91-1-3.022-1.877-1.34-0.7580.1640.8521.1281.3661.4921.5881.6641.8-1.1-3.087-1.894-1.341-0.7450.180.8481.1071.3241.4351.5181.5811.713-1.2-3.149-1.19-1.34-0.7320.1950.8441.0861.2821.3791.4491.5011.625-1.3-3.211-1.925-1.339-0.7190.210.8381.0641.241.3241.3831.4241.545-1.4-3.271-1.938-1.337-0.7050.2250.8321.0411.1981.271.3181.3511.465-1.5-3.33-1.951-1.333-0.690.240.8251.0181.1571.2171.3181.3511.373-1.6-3.388-1.962-1.329-0.8750.2540.8170.9941.1161.1661.1971.2161.28-1.7-3.444-1.972-1.324-0.660.2680.8080.971.0751.1161.141.1551.205-1.8-3.499-1.981-1.318-0.6430.2820.7990.9451.0351.0691.0871.0971.13-1.9-3.553-1.989-1.31-0.6270.2940.7880.920.9961.0231.0371.0441.065-2-3.605-1.996-1.302-0.6090.3070.7770.8950.9590.980.990.9951-2.1-3.656-2.001-1.294-0.5920.3190.7650.8690.9230.9390.9460.9490.955-2.2-3.705-2.006-1.284-0.5740.330.7520.8440.8880.90.9050.9070.91-2.3-3.753-2.009-1.274-0.5550.3410.7390.8190.8550.8640.8670.8690.874-2.4-3.8-2.011-1.262-0.5370.3510.7250.7950.8230.830.8320.8330.838-2.5-3.845-2.012-1.29-0.5180.360.7110.7710.7930.7980.7990.80.802-2.6-3.889-2.013-1.238-0.4990.3680.6960.7470.7640.7680.7690.7690.775-2.7-3.932-2.012-1.224-0.4790.3760.6810.7240.7380.740.740.7410.748-2.8-3.973-2.01-1.21-0.460.3840.6660.7020.7120.7140.7140.7140.722-2.9-4.013-2.007-1.195-0.440.330.6510.6810.6830.6890.690.690.695-3-4.051-2.003-1.18-0.420.390.6360.660.6660.6660.6670.6670.668

Nilai Kritis Chi Square

Nilai Kritis untuk Distribusi Chi Square

dk derajat kepercayaant0.995t0.99t0.975t0.95t0.05t0.025t0.01t0.00510.0390.160.0980.3933.8415.0246.6357.87920.10.2010.5060.1035.9916.7839.2110.59730.7170.1150.2160.3527.8159.34811.34512.83840.2070.2970.4840.7119.48811.14313.27714.8650.4120.5540.8311.14511.0712.83215.08616.7560.6760.8721.2371.63512.59214.44916.81218.54870.9891.2391.692.16714.06716.01318.47520.27881.3441.6462.182.73315.50717.53520.0924.95591.7352.0882.73.32516.91919.02321.66623.589102.1562.5583.2473.9418.30720.48323.20925.188112.6033.0533.8164.57519.67521.9224.72526.757123.0743.5714.4045.22621.02623.33726.21728.3133.5654.1075.0095.89222.36224.73627.68829.819144.0754.665.6296.57123.68526.11929.14131.319154.6015.2296.2627.26124.99627.48830.57832.801165.1425.8126.9087.96226.29628.8453234.267175.6976.4087.5648.67227.58730.19133.40935.718186.2657.0158.2319.3928.86931.52634.80537.156196.8847.6338.90710.11730.14432.85236.19138.582207.4348.269.59110.85134.4134.1737.56639.997218.0348.89710.28311.59132.67135.47938.93241.401228.6439.54210.98212.33833.92436.78140.28942.796239.2610.19611.68913.09136.17238.07641.63844.181249.88610.85612.40113.84836.41539.36442.9845.5582510.5211.52413.1214.61137.65240.64644.31446.9282611.1612.19813.84415.37938.88541.92345.64248.922711.80812.87914.57316.15140.11343.19446.96349.6452812.46113.56515.30816.92841.33744.46148.27850.9932913.12114.25616.04717.70842.55745.72249.58852.3363013.78714.95316.79118.49343.77346.97950.89253.672

Uji Chi SquareNo. UrutCH Max1852883974985856112788812591001082Rata-rata96Std. Deviasi13.7Qp1.387Tp1.1794.930776511K =4.322t2Diambil5

PTrX (mm)(%)(tahun)GumbelLP. III20511097402.59895601.679094801.258393

Uji Distribusi GumbelNoNilai BatasF PengamatanF Teoritis(Oj - Ej)cKelompokOjEj1X > 1102111.0002110 > X >982200.000398 > X >902441.000490 > X >832200.0005X < 832111.000Jumlah10103.000

Uji Distribusi Log Person IIINoNilai BatasF PengamatanF Teoritis(Oj - Ej)cKelompokOjEj1X > 972591.800297 > X >952111.000395 > X >942040.000494 > X >932040.0005X < 932441.000Jumlah10103.800

c5.991dk2a5%

Smirnov KolmogorofmXiLog XiP(X)LogP(X