| | *The author of this computation has been verified* | R Software Module: /rwasp_spectrum.wasp (opens new window with default values) | Title produced by software: Spectral Analysis | Date of computation: Wed, 12 Jan 2011 12:14:35 +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/Jan/12/t1294834825laugcpu21rahfk0.htm/, Retrieved Wed, 12 Jan 2011 13:20:27 +0100 | | BibTeX entries for LaTeX users: | @Manual{KEY,
author = {{YOUR NAME}},
publisher = {Office for Research Development and Education},
title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2011/Jan/12/t1294834825laugcpu21rahfk0.htm/},
year = {2011},
}
@Manual{R,
title = {R: A Language and Environment for Statistical Computing},
author = {{R Development Core Team}},
organization = {R Foundation for Statistical Computing},
address = {Vienna, Austria},
year = {2011},
note = {{ISBN} 3-900051-07-0},
url = {http://www.R-project.org},
}
| | Original text written by user: | | | IsPrivate? | No (this computation is public) | | User-defined keywords: | | | Dataseries X: | » Textbox « » Textfile « » CSV « | 5745
4549
5074
3602
2732
2589
2148
2330
2752
3241
4517
6550
6778
6240
5570
3558
3299
2447
2380
2378
2947
3651
4816
6436
7090
4682
4198
3860
3056
2563
2568
2472
2821
4015
4686
5418
5649
4572
4695
3766
2900
2528
2549
2478
2828
4139
5390
5621
5291
5272
4677
3520
2842
2723
2581
2429
2606
3787
4630
5505
5577
4911
4701
3557
2921
2734
2636
2433
2640
3794
4745
5698
5909
5119
5200
3876
3104
2251
2386
2794
2967
3392
4741
5909
5901
4962
4751
3909
3130
2860
2568
2540
2894
4216
4530
5144
6206
5645
4601
3645
3140
2264
2557
2431
2747
4587
4512
5313
6011
5328
5014
3630
3102
2739
2877
2659
2957
3785
4785
5757
5458
5427
5018
3498
3204
2763
2589
2591
2805
3278
4615
5524
6167
5380
5377
3603
2774
2470
2407
2512
2451
3134
4210
4859
5022
4584
4267
3022
2777
2428
2389
2496
2820
3854
4748
5666
5293
4905
4920
3854
2659
2491
2455
2472
3030
3987
4453
5417 | | Output produced by software: |
Raw Periodogram | Parameter | Value | Box-Cox transformation parameter (lambda) | 1 | Degree of non-seasonal differencing (d) | 1 | Degree of seasonal differencing (D) | 1 | Seasonal Period (s) | 12 | Frequency (Period) | Spectrum | 0.0062 (160) | 3782.297792 | 0.0125 (80) | 1952.33514 | 0.0188 (53.3333) | 12953.129368 | 0.025 (40) | 23722.668223 | 0.0312 (32) | 3307.00885 | 0.0375 (26.6667) | 22528.236695 | 0.0438 (22.8571) | 59572.196568 | 0.05 (20) | 64740.117111 | 0.0562 (17.7778) | 40717.341035 | 0.0625 (16) | 14227.981758 | 0.0688 (14.5455) | 29486.175952 | 0.075 (13.3333) | 50249.621059 | 0.0813 (12.3077) | 28498.475066 | 0.0875 (11.4286) | 39225.33095 | 0.0938 (10.6667) | 66515.65781 | 0.1 (10) | 142738.300473 | 0.1062 (9.4118) | 92677.027308 | 0.1125 (8.8889) | 8403.84097 | 0.1188 (8.4211) | 467097.511278 | 0.125 (8) | 51610.282002 | 0.1312 (7.619) | 44255.78993 | 0.1375 (7.2727) | 290002.96565 | 0.1438 (6.9565) | 22818.412205 | 0.15 (6.6667) | 103318.167139 | 0.1563 (6.4) | 9255.832638 | 0.1625 (6.1538) | 7243.50393 | 0.1688 (5.9259) | 29645.955396 | 0.175 (5.7143) | 229666.345991 | 0.1813 (5.5172) | 282370.138358 | 0.1875 (5.3333) | 129071.046509 | 0.1938 (5.1613) | 141669.041225 | 0.2 (5) | 694290.420664 | 0.2062 (4.8485) | 23239.461444 | 0.2125 (4.7059) | 215177.04839 | 0.2188 (4.5714) | 598788.632901 | 0.225 (4.4444) | 124984.455734 | 0.2312 (4.3243) | 981732.517324 | 0.2375 (4.2105) | 467949.253667 | 0.2438 (4.1026) | 8847.241222 | 0.25 (4) | 28797.910311 | 0.2562 (3.9024) | 97128.312669 | 0.2625 (3.8095) | 110138.99211 | 0.2688 (3.7209) | 629999.379591 | 0.275 (3.6364) | 1024870.637975 | 0.2812 (3.5556) | 36738.098191 | 0.2875 (3.4783) | 1021708.862551 | 0.2938 (3.4043) | 125356.115408 | 0.3 (3.3333) | 197547.866178 | 0.3062 (3.2653) | 1688762.513179 | 0.3125 (3.2) | 159673.684642 | 0.3188 (3.1373) | 906040.4038 | 0.325 (3.0769) | 8661.609385 | 0.3312 (3.0189) | 55795.072623 | 0.3375 (2.963) | 44599.392662 | 0.3438 (2.9091) | 59899.86352 | 0.35 (2.8571) | 462465.45979 | 0.3562 (2.807) | 1097637.820095 | 0.3625 (2.7586) | 1079304.992361 | 0.3688 (2.7119) | 457152.680195 | 0.375 (2.6667) | 669666.850365 | 0.3812 (2.623) | 427213.614078 | 0.3875 (2.5806) | 64762.105113 | 0.3938 (2.5397) | 229291.225644 | 0.4 (2.5) | 260560.709447 | 0.4062 (2.4615) | 106026.768532 | 0.4125 (2.4242) | 12798.569559 | 0.4188 (2.3881) | 9606.611035 | 0.425 (2.3529) | 31078.930949 | 0.4312 (2.3188) | 34408.6502 | 0.4375 (2.2857) | 295056.169253 | 0.4438 (2.2535) | 963236.272026 | 0.45 (2.2222) | 103390.833458 | 0.4562 (2.1918) | 199587.981017 | 0.4625 (2.1622) | 173021.256665 | 0.4688 (2.1333) | 177334.96936 | 0.475 (2.1053) | 21456.148291 | 0.4812 (2.0779) | 468909.558453 | 0.4875 (2.0513) | 2667.039438 | 0.4938 (2.0253) | 46349.252241 | 0.5 (2) | 21980.747981 |
| | Charts produced by software: | | http://www.freestatistics.org/blog/date/2011/Jan/12/t1294834825laugcpu21rahfk0/147271294834473.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Jan/12/t1294834825laugcpu21rahfk0/147271294834473.ps (open in new window) |
| http://www.freestatistics.org/blog/date/2011/Jan/12/t1294834825laugcpu21rahfk0/2b7w11294834473.png (open in new window) | http://www.freestatistics.org/blog/date/2011/Jan/12/t1294834825laugcpu21rahfk0/2b7w11294834473.ps (open in new window) |
| | Parameters (Session): | par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 12 ; | | Parameters (R input): | par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 12 ; | | R code (references can be found in the software module): | par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par1 == 0) {
x <- log(x)
} else {
x <- (x ^ par1 - 1) / par1
}
if (par2 > 0) x <- diff(x,lag=1,difference=par2)
if (par3 > 0) x <- diff(x,lag=par4,difference=par3)
bitmap(file='test1.png')
r <- spectrum(x,main='Raw Periodogram')
dev.off()
bitmap(file='test2.png')
cpgram(x,main='Cumulative Periodogram')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Raw Periodogram',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Box-Cox transformation parameter (lambda)',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of non-seasonal differencing (d)',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of seasonal differencing (D)',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal Period (s)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Frequency (Period)',header=TRUE)
a<-table.element(a,'Spectrum',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(r$freq)) {
a<-table.row.start(a)
mylab <- round(r$freq[i],4)
mylab <- paste(mylab,' (',sep='')
mylab <- paste(mylab,round(1/r$freq[i],4),sep='')
mylab <- paste(mylab,')',sep='')
a<-table.element(a,mylab,header=TRUE)
a<-table.element(a,round(r$spec[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
| |
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Software written by Ed van Stee & Patrick Wessa
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