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workshop 9

*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: Sun, 05 Dec 2010 13:34:06 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/05/t1291555944l0bw39icmpaj3d6.htm/, Retrieved Sun, 05 Dec 2010 14:32:24 +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/2010/Dec/05/t1291555944l0bw39icmpaj3d6.htm/},
    year = {2010},
}
@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 = {2010},
    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 «
2938 2909 3141 2427 3059 2918 2901 2823 2798 2892 2967 2397 3458 3024 3100 2904 3056 2771 2897 2772 2857 3020 2648 2364 3194 3013 2560 3074 2746 2846 3184 2354 3080 2963 2430 2296 2416 2647 2789 2685 2666 2882 2953 2127 2563 3061 2809 2861 2781 2555 3206 2570 2410 3195 2736 2743 2934 2668 2907 2866 2983 2878 3225 2515 3193 2663 2908 2896 2853 3028 3053 2455 3401 2969 3243 2849 3296 3121 3194 3023 2984 3525 3116 2383 3294 2882 2820 2583 2803 2767 2945 2716 2644 2956 2598 2171 2994 2645 2724 2550 2707 2679 2878 2307 2496 2637 2436 2426 2607 2533 2888 2520 2229 2804 2661 2547 2509 2465 2629 2706 2666 2432 2836 2888 2566 2802 2611 2683 2675 2434 2693 2619 2903 2550 2900 2456 2912 2883 2464 2655 2447 2592 2698 2274 2901 2397 3004 2614 2882 2671 2761 2806 2414 2673 2748 2112 2903 2633 2684 2861 2504 2708 2961 2535 2688 2699 2469 2585 2582 2480 2709 etc...
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24


Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0056 (180)1177.025452
0.0111 (90)482313.546316
0.0167 (60)654524.072297
0.0222 (45)128013.385353
0.0278 (36)125639.480164
0.0333 (30)71333.138806
0.0389 (25.7143)227872.345906
0.0444 (22.5)90689.426308
0.05 (20)10713.880418
0.0556 (18)73511.905209
0.0611 (16.3636)132618.15625
0.0667 (15)78395.176911
0.0722 (13.8462)158.832986
0.0778 (12.8571)19789.72642
0.0833 (12)7153.662074
0.0889 (11.25)8060.890638
0.0944 (10.5882)12112.032131
0.1 (10)41110.755261
0.1056 (9.4737)14188.5872
0.1111 (9)35052.731444
0.1167 (8.5714)148100.577473
0.1222 (8.1818)22600.458225
0.1278 (7.8261)63692.14229
0.1333 (7.5)91434.616198
0.1389 (7.2)66262.304031
0.1444 (6.9231)84417.368548
0.15 (6.6667)22735.194833
0.1556 (6.4286)21751.675193
0.1611 (6.2069)2800.236791
0.1667 (6)345.440074
0.1722 (5.8065)208.094667
0.1778 (5.625)25784.057963
0.1833 (5.4545)6192.068701
0.1889 (5.2941)5202.354323
0.1944 (5.1429)23260.059604
0.2 (5)5594.016278
0.2056 (4.8649)8128.3189
0.2111 (4.7368)38558.762887
0.2167 (4.6154)94799.683241
0.2222 (4.5)226073.765052
0.2278 (4.3902)34539.924104
0.2333 (4.2857)334406.318456
0.2389 (4.186)20194.263906
0.2444 (4.0909)8291.030686
0.25 (4)7104.730306
0.2556 (3.913)8463.002868
0.2611 (3.8298)21012.345134
0.2667 (3.75)7942.328129
0.2722 (3.6735)12458.250717
0.2778 (3.6)28938.622083
0.2833 (3.5294)18200.725373
0.2889 (3.4615)15537.323083
0.2944 (3.3962)23017.16805
0.3 (3.3333)52893.739663
0.3056 (3.2727)5081.00746
0.3111 (3.2143)2676.862499
0.3167 (3.1579)39241.121406
0.3222 (3.1034)14267.415573
0.3278 (3.0508)4588.967494
0.3333 (3)9187.479913
0.3389 (2.9508)29133.087969
0.3444 (2.9032)259095.912389
0.35 (2.8571)616456.572117
0.3556 (2.8125)162916.463698
0.3611 (2.7692)26207.810014
0.3667 (2.7273)114671.300252
0.3722 (2.6866)160486.739807
0.3778 (2.6471)256444.402874
0.3833 (2.6087)168021.896495
0.3889 (2.5714)212368.600098
0.3944 (2.5352)154516.387641
0.4 (2.5)62588.125271
0.4056 (2.4658)53817.820265
0.4111 (2.4324)43908.705658
0.4167 (2.4)5463.31371
0.4222 (2.3684)10668.738926
0.4278 (2.3377)64424.030515
0.4333 (2.3077)64319.471363
0.4389 (2.2785)78309.05027
0.4444 (2.25)12250.537307
0.45 (2.2222)5447.629029
0.4556 (2.1951)29231.133248
0.4611 (2.1687)28688.584922
0.4667 (2.1429)98963.587835
0.4722 (2.1176)79174.54251
0.4778 (2.093)37179.389637
0.4833 (2.069)57002.919256
0.4889 (2.0455)62430.802657
0.4944 (2.0225)4215.15604
0.5 (2)8510.17984
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Dec/05/t1291555944l0bw39icmpaj3d6/1plpi1291556043.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/05/t1291555944l0bw39icmpaj3d6/1plpi1291556043.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Dec/05/t1291555944l0bw39icmpaj3d6/2zcol1291556043.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Dec/05/t1291555944l0bw39icmpaj3d6/2zcol1291556043.ps (open in new window)


 
Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 12 ;
 
Parameters (R input):
par1 = 1 ; par2 = 0 ; 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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