| Opdracht 9 - Classical decomposition - Aantal bouwvergunningen - Nathan Jacobs | | *Unverified author* | | R Software Module: /rwasp_decompose.wasp (opens new window with default values) | | Title produced by software: Classical Decomposition | | Date of computation: Thu, 12 May 2011 11:19:04 +0000 | | | | Cite this page as follows: | | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2011/May/12/t1305199252bc5v2pk5cmmhxp4.htm/, Retrieved Thu, 12 May 2011 13:20:52 +0200 | | | | Original text written by user: | | | | | IsPrivate? | | No (this computation is public) | | | | User-defined keywords: | | KDGP2W92 | | | | Dataseries X: | | » Textbox « » Textfile « » CSV « | | 1394
1657
2411
3595
3336
3249
2920
2113
2040
1853
1832
2093
2164
2368
2072
2521
1819
1947
2226
1754
1787
2072
1846
2137
2467
2154
2289
2628
2074
2798
2194
2442
2565
2063
2069
2539
1898
2139
2408
2725
2201
2311
2548
2276
2351
2280
2057
2479
2379
2295
2456
2546
2844
2260
2981
2678
3440
2842
2450
2669
2570
2540
2318
2930
2947
2799
2695
2498
2260
2160
2058
2533
2150
2172
2155
3016
2333
2355
2825
2214
2360
2299
1746
2069
2267
1878
2266
2282
2085
2277
2251
1828
1954
1851
1570
1852
2187
1855
2218
| | | | Output produced by software: |
| Classical Decomposition by Moving Averages | | t | Observations | Fit | Trend | Seasonal | Random | | 1 | 1394 | NA | NA | -67.7013888888888 | NA | | 2 | 1657 | NA | NA | -111.87996031746 | NA | | 3 | 2411 | NA | NA | -49.9573412698413 | NA | | 4 | 3595 | NA | NA | 333.99503968254 | NA | | 5 | 3336 | NA | NA | 0.566468253968204 | NA | | 6 | 3249 | NA | NA | 66.9890873015874 | NA | | 7 | 2920 | 2613.78670634921 | 2406.5 | 207.286706349206 | 306.213293650794 | | 8 | 2113 | 2388.41170634921 | 2468.20833333333 | -79.7966269841268 | -275.411706349206 | | 9 | 2040 | 2552.81051587302 | 2483.70833333333 | 69.1021825396825 | -512.810515873016 | | 10 | 1853 | 2427.34623015873 | 2424.83333333333 | 2.51289682539678 | -574.34623015873 | | 11 | 1832 | 1982.26884920635 | 2316.875 | -334.606150793651 | -150.268849206349 | | 12 | 2093 | 2162.90575396825 | 2199.41666666667 | -36.5109126984128 | -69.9057539682535 | | 13 | 2164 | 2048.54861111111 | 2116.25 | -67.7013888888888 | 115.451388888889 | | 14 | 2368 | 1960.49503968254 | 2072.375 | -111.87996031746 | 407.504960317461 | | 15 | 2072 | 1996.91765873016 | 2046.875 | -49.9573412698413 | 75.0823412698414 | | 16 | 2521 | 2379.45337301587 | 2045.45833333333 | 333.99503968254 | 141.546626984127 | | 17 | 1819 | 2055.73313492063 | 2055.16666666667 | 0.566468253968204 | -236.733134920635 | | 18 | 1947 | 2124.57242063492 | 2057.58333333333 | 66.9890873015874 | -177.57242063492 | | 19 | 2226 | 2279.32837301587 | 2072.04166666667 | 207.286706349206 | -53.328373015873 | | 20 | 1754 | 1995.95337301587 | 2075.75 | -79.7966269841268 | -241.953373015873 | | 21 | 1787 | 2144.97718253968 | 2075.875 | 69.1021825396825 | -357.977182539682 | | 22 | 2072 | 2091.8878968254 | 2089.375 | 2.51289682539678 | -19.8878968253966 | | 23 | 1846 | 1769.85218253968 | 2104.45833333333 | -334.606150793651 | 76.1478174603176 | | 24 | 2137 | 2114.03075396825 | 2150.54166666667 | -36.5109126984128 | 22.969246031746 | | 25 | 2467 | 2116.96527777778 | 2184.66666666667 | -67.7013888888888 | 350.034722222222 | | 26 | 2154 | 2100.12003968254 | 2212 | -111.87996031746 | 53.8799603174607 | | 27 | 2289 | 2223.12599206349 | 2273.08333333333 | -49.9573412698413 | 65.8740079365084 | | 28 | 2628 | 2639.12003968254 | 2305.125 | 333.99503968254 | -11.1200396825398 | | 29 | 2074 | 2314.60813492063 | 2314.04166666667 | 0.566468253968204 | -240.608134920635 | | 30 | 2798 | 2407.07242063492 | 2340.08333333333 | 66.9890873015874 | 390.92757936508 | | 31 | 2194 | 2540.41170634921 | 2333.125 | 207.286706349206 | -346.411706349206 | | 32 | 2442 | 2228.99503968254 | 2308.79166666667 | -79.7966269841268 | 213.00496031746 | | 33 | 2565 | 2382.22718253968 | 2313.125 | 69.1021825396825 | 182.772817460318 | | 34 | 2063 | 2324.6378968254 | 2322.125 | 2.51289682539678 | -261.637896825397 | | 35 | 2069 | 1996.85218253968 | 2331.45833333333 | -334.606150793651 | 72.147817460318 | | 36 | 2539 | 2279.94742063492 | 2316.45833333333 | -36.5109126984128 | 259.05257936508 | | 37 | 1898 | 2243.21527777778 | 2310.91666666667 | -67.7013888888888 | -345.215277777778 | | 38 | 2139 | 2206.87003968254 | 2318.75 | -111.87996031746 | -67.8700396825393 | | 39 | 2408 | 2252.95932539683 | 2302.91666666667 | -49.9573412698413 | 155.040674603175 | | 40 | 2725 | 2637.03670634921 | 2303.04166666667 | 333.99503968254 | 87.9632936507937 | | 41 | 2201 | 2312.1498015873 | 2311.58333333333 | 0.566468253968204 | -111.149801587302 | | 42 | 2311 | 2375.57242063492 | 2308.58333333333 | 66.9890873015874 | -64.5724206349205 | | 43 | 2548 | 2533.41170634921 | 2326.125 | 207.286706349206 | 14.5882936507937 | | 44 | 2276 | 2272.87003968254 | 2352.66666666667 | -79.7966269841268 | 3.12996031746025 | | 45 | 2351 | 2430.26884920635 | 2361.16666666667 | 69.1021825396825 | -79.2688492063494 | | 46 | 2280 | 2358.22123015873 | 2355.70833333333 | 2.51289682539678 | -78.2212301587297 | | 47 | 2057 | 2040.43551587302 | 2375.04166666667 | -334.606150793651 | 16.5644841269841 | | 48 | 2479 | 2363.19742063492 | 2399.70833333333 | -36.5109126984128 | 115.80257936508 | | 49 | 2379 | 2347.92361111111 | 2415.625 | -67.7013888888888 | 31.0763888888891 | | 50 | 2295 | 2338.53670634921 | 2450.41666666667 | -111.87996031746 | -43.5367063492058 | | 51 | 2456 | 2462.58432539683 | 2512.54166666667 | -49.9573412698413 | -6.58432539682553 | | 52 | 2546 | 2915.32837301587 | 2581.33333333333 | 333.99503968254 | -369.328373015873 | | 53 | 2844 | 2621.69146825397 | 2621.125 | 0.566468253968204 | 222.308531746032 | | 54 | 2260 | 2712.40575396825 | 2645.41666666667 | 66.9890873015874 | -452.405753968254 | | 55 | 2981 | 2868.57837301587 | 2661.29166666667 | 207.286706349206 | 112.421626984127 | | 56 | 2678 | 2599.66170634921 | 2679.45833333333 | -79.7966269841268 | 78.3382936507937 | | 57 | 3440 | 2753.01884920635 | 2683.91666666667 | 69.1021825396825 | 686.98115079365 | | 58 | 2842 | 2696.67956349206 | 2694.16666666667 | 2.51289682539678 | 145.320436507936 | | 59 | 2450 | 2379.85218253968 | 2714.45833333333 | -334.606150793651 | 70.147817460318 | | 60 | 2669 | 2704.69742063492 | 2741.20833333333 | -36.5109126984128 | -35.69742063492 | | 61 | 2570 | 2684.04861111111 | 2751.75 | -67.7013888888888 | -114.048611111111 | | 62 | 2540 | 2620.45337301587 | 2732.33333333333 | -111.87996031746 | -80.4533730158732 | | 63 | 2318 | 2625.70932539683 | 2675.66666666667 | -49.9573412698413 | -307.709325396826 | | 64 | 2930 | 2932.07837301587 | 2598.08333333333 | 333.99503968254 | -2.07837301587278 | | 65 | 2947 | 2553.8998015873 | 2553.33333333333 | 0.566468253968204 | 393.100198412698 | | 66 | 2799 | 2598.32242063492 | 2531.33333333333 | 66.9890873015874 | 200.677579365079 | | 67 | 2695 | 2715.45337301587 | 2508.16666666667 | 207.286706349206 | -20.4533730158728 | | 68 | 2498 | 2395.53670634921 | 2475.33333333333 | -79.7966269841268 | 102.463293650794 | | 69 | 2260 | 2522.31051587302 | 2453.20833333333 | 69.1021825396825 | -262.310515873015 | | 70 | 2160 | 2452.5128968254 | 2450 | 2.51289682539678 | -292.512896825397 | | 71 | 2058 | 2093.39384920635 | 2428 | -334.606150793651 | -35.3938492063489 | | 72 | 2533 | 2347.40575396825 | 2383.91666666667 | -36.5109126984128 | 185.594246031746 | | 73 | 2150 | 2303.13194444444 | 2370.83333333333 | -67.7013888888888 | -153.131944444444 | | 74 | 2172 | 2252.53670634921 | 2364.41666666667 | -111.87996031746 | -80.5367063492063 | | 75 | 2155 | 2306.79265873016 | 2356.75 | -49.9573412698413 | -151.792658730158 | | 76 | 3016 | 2700.70337301587 | 2366.70833333333 | 333.99503968254 | 315.296626984127 | | 77 | 2333 | 2360.06646825397 | 2359.5 | 0.566468253968204 | -27.0664682539682 | | 78 | 2355 | 2394.15575396825 | 2327.16666666667 | 66.9890873015874 | -39.155753968254 | | 79 | 2825 | 2519.99503968254 | 2312.70833333333 | 207.286706349206 | 305.00496031746 | | 80 | 2214 | 2225.53670634921 | 2305.33333333333 | -79.7966269841268 | -11.5367063492063 | | 81 | 2360 | 2366.81051587302 | 2297.70833333333 | 69.1021825396825 | -6.8105158730159 | | 82 | 2299 | 2274.2628968254 | 2271.75 | 2.51289682539678 | 24.7371031746034 | | 83 | 1746 | 1896.22718253968 | 2230.83333333333 | -334.606150793651 | -150.227182539682 | | 84 | 2069 | 2180.73908730159 | 2217.25 | -36.5109126984128 | -111.739087301587 | | 85 | 2267 | 2122.38194444444 | 2190.08333333333 | -67.7013888888888 | 144.618055555555 | | 86 | 1878 | 2038.20337301587 | 2150.08333333333 | -111.87996031746 | -160.203373015873 | | 87 | 2266 | 2067.12599206349 | 2117.08333333333 | -49.9573412698413 | 198.874007936508 | | 88 | 2282 | 2415.49503968254 | 2081.5 | 333.99503968254 | -133.49503968254 | | 89 | 2085 | 2056.06646825397 | 2055.5 | 0.566468253968204 | 28.9335317460318 | | 90 | 2277 | 2106.11408730159 | 2039.125 | 66.9890873015874 | 170.885912698413 | | 91 | 2251 | 2234.03670634921 | 2026.75 | 207.286706349206 | 16.9632936507937 | | 92 | 1828 | 1942.66170634921 | 2022.45833333333 | -79.7966269841268 | -114.661706349206 | | 93 | 1954 | 2088.60218253968 | 2019.5 | 69.1021825396825 | -134.602182539682 | | 94 | 1851 | NA | NA | 2.51289682539678 | NA | | 95 | 1570 | NA | NA | -334.606150793651 | NA | | 96 | 1852 | NA | NA | -36.5109126984128 | NA | | 97 | 2187 | NA | NA | NA | NA | | 98 | 1855 | NA | NA | NA | NA | | 99 | 2218 | NA | NA | NA | NA |
| | | | Charts produced by software: |  | | http://www.freestatistics.org/blog/date/2011/May/12/t1305199252bc5v2pk5cmmhxp4/17cra1305199140.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/12/t1305199252bc5v2pk5cmmhxp4/17cra1305199140.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2011/May/12/t1305199252bc5v2pk5cmmhxp4/2qxxk1305199140.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/12/t1305199252bc5v2pk5cmmhxp4/2qxxk1305199140.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2011/May/12/t1305199252bc5v2pk5cmmhxp4/3ltqr1305199140.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/12/t1305199252bc5v2pk5cmmhxp4/3ltqr1305199140.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2011/May/12/t1305199252bc5v2pk5cmmhxp4/4ntuc1305199140.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/12/t1305199252bc5v2pk5cmmhxp4/4ntuc1305199140.ps (open in new window) |
| | | | Parameters (Session): | | par1 = additive ; par2 = 12 ; | | | | Parameters (R input): | | par1 = additive ; par2 = 12 ; | | | | R code (references can be found in the software module): | par2 <- as.numeric(par2)
x <- ts(x,freq=par2)
m <- decompose(x,type=par1)
m$figure
bitmap(file='test1.png')
plot(m)
dev.off()
mylagmax <- length(x)/2
bitmap(file='test2.png')
op <- par(mfrow = c(2,2))
acf(as.numeric(x),lag.max = mylagmax,main='Observed')
acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend')
acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal')
acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random')
par(op)
dev.off()
bitmap(file='test3.png')
op <- par(mfrow = c(2,2))
spectrum(as.numeric(x),main='Observed')
spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
bitmap(file='test4.png')
op <- par(mfrow = c(2,2))
cpgram(as.numeric(x),main='Observed')
cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend')
cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal')
cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random')
par(op)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t',header=TRUE)
a<-table.element(a,'Observations',header=TRUE)
a<-table.element(a,'Fit',header=TRUE)
a<-table.element(a,'Trend',header=TRUE)
a<-table.element(a,'Seasonal',header=TRUE)
a<-table.element(a,'Random',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(m$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i])
a<-table.element(a,m$trend[i])
a<-table.element(a,m$seasonal[i])
a<-table.element(a,m$random[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
| | |
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