R version 2.8.0 (2008-10-20) Copyright (C) 2008 The R Foundation for Statistical Computing ISBN 3-900051-07-0 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > par20 = '' > par19 = '' > par18 = '' > par17 = '' > par16 = '' > par15 = '' > par14 = '' > par13 = '' > par12 = '' > par11 = '' > par10 = '' > par9 = '' > par8 = '' > par7 = '' > par6 = '' > par5 = '' > par4 = '' > par3 = '' > par2 = '0.5' > par1 = '500' > ylab = '' > xlab = '' > main = '' > n <- as.numeric(par1) > p <- as.numeric(par2) > heads=rbinom(n-1,1,p) > a=2*(heads)-1 > b=diffinv(a,xi=0) > c=1:n > pheads=(diffinv(heads,xi=.5))/c > postscript(file="/var/www/html/freestat/rcomp/tmp/11yh51227965184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > op=par(mfrow=c(2,1)) > plot(c,b,type='n',main='Law of Averages',xlab='Toss Number',ylab='Excess of Heads',lwd=2,cex.lab=1.5,cex.main=2) > lines(c,b,col='red') > lines(c,rep(0,n),col='black') > plot(c,pheads,type='n',xlab='Toss Number',ylab='Proportion of Heads',lwd=2,cex.lab=1.5) > lines(c,pheads,col='blue') > lines(c,rep(.5,n),col='black') > par(op) > dev.off() null device 1 > b [1] 0 1 2 3 4 3 2 3 2 3 2 3 4 5 4 5 4 5 6 7 8 7 8 7 8 [26] 7 8 7 8 9 8 7 6 7 6 5 6 7 6 7 6 7 8 9 10 11 12 11 12 11 [51] 12 11 12 13 12 13 14 13 14 13 12 13 14 13 14 13 14 15 16 17 18 17 18 17 18 [76] 17 18 17 18 17 16 17 18 17 16 15 16 17 16 17 16 15 16 17 18 17 16 15 14 13 [101] 12 11 12 11 10 11 12 11 10 11 12 11 12 13 14 13 12 11 12 11 10 11 10 9 10 [126] 11 12 11 10 9 10 9 8 9 8 9 10 11 12 11 12 13 12 13 14 13 14 15 14 15 [151] 14 13 12 13 12 11 12 11 12 11 12 11 12 13 12 11 12 11 12 13 12 11 12 11 12 [176] 13 12 13 14 15 16 17 18 19 18 19 20 21 20 19 18 17 16 17 18 17 18 19 18 19 [201] 18 19 20 21 20 21 20 21 22 21 20 21 20 19 18 17 18 19 20 21 22 23 22 21 22 [226] 23 24 25 24 25 24 25 24 23 24 25 26 25 24 25 26 25 26 27 28 27 26 25 26 25 [251] 26 27 26 27 28 27 26 27 26 25 26 25 26 25 24 23 24 25 24 23 22 23 22 23 24 [276] 23 22 23 24 23 24 23 22 23 22 21 20 21 20 21 22 23 24 25 24 23 22 21 20 19 [301] 18 17 18 17 16 15 14 15 16 17 18 19 20 21 22 23 22 21 20 21 20 21 20 19 18 [326] 19 20 19 20 21 20 19 20 19 18 19 20 19 20 21 20 19 18 17 18 17 16 15 14 15 [351] 16 15 16 15 14 15 16 17 18 19 20 21 22 23 22 21 22 21 20 19 18 19 18 17 18 [376] 17 16 15 16 15 14 13 14 13 14 13 12 11 10 9 8 9 10 11 12 13 14 15 14 15 [401] 14 15 14 15 16 17 18 17 18 17 16 15 14 13 12 13 12 13 12 13 14 15 14 15 14 [426] 13 12 11 12 11 12 11 10 9 10 9 10 11 12 11 10 9 10 9 10 9 10 9 8 7 [451] 8 7 8 7 8 9 8 9 8 9 10 11 10 11 12 13 14 15 16 15 16 15 14 15 14 [476] 15 14 13 12 11 10 11 10 9 8 7 6 5 6 5 4 5 4 3 4 5 4 5 6 5 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2yfws1227965184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > r <- spectrum(x,main='Raw Periodogram') > dev.off() null device 1 > r $freq [1] 0.002 0.004 0.006 0.008 0.010 0.012 0.014 0.016 0.018 0.020 0.022 0.024 [13] 0.026 0.028 0.030 0.032 0.034 0.036 0.038 0.040 0.042 0.044 0.046 0.048 [25] 0.050 0.052 0.054 0.056 0.058 0.060 0.062 0.064 0.066 0.068 0.070 0.072 [37] 0.074 0.076 0.078 0.080 0.082 0.084 0.086 0.088 0.090 0.092 0.094 0.096 [49] 0.098 0.100 0.102 0.104 0.106 0.108 0.110 0.112 0.114 0.116 0.118 0.120 [61] 0.122 0.124 0.126 0.128 0.130 0.132 0.134 0.136 0.138 0.140 0.142 0.144 [73] 0.146 0.148 0.150 0.152 0.154 0.156 0.158 0.160 0.162 0.164 0.166 0.168 [85] 0.170 0.172 0.174 0.176 0.178 0.180 0.182 0.184 0.186 0.188 0.190 0.192 [97] 0.194 0.196 0.198 0.200 0.202 0.204 0.206 0.208 0.210 0.212 0.214 0.216 [109] 0.218 0.220 0.222 0.224 0.226 0.228 0.230 0.232 0.234 0.236 0.238 0.240 [121] 0.242 0.244 0.246 0.248 0.250 0.252 0.254 0.256 0.258 0.260 0.262 0.264 [133] 0.266 0.268 0.270 0.272 0.274 0.276 0.278 0.280 0.282 0.284 0.286 0.288 [145] 0.290 0.292 0.294 0.296 0.298 0.300 0.302 0.304 0.306 0.308 0.310 0.312 [157] 0.314 0.316 0.318 0.320 0.322 0.324 0.326 0.328 0.330 0.332 0.334 0.336 [169] 0.338 0.340 0.342 0.344 0.346 0.348 0.350 0.352 0.354 0.356 0.358 0.360 [181] 0.362 0.364 0.366 0.368 0.370 0.372 0.374 0.376 0.378 0.380 0.382 0.384 [193] 0.386 0.388 0.390 0.392 0.394 0.396 0.398 0.400 0.402 0.404 0.406 0.408 [205] 0.410 0.412 0.414 0.416 0.418 0.420 0.422 0.424 0.426 0.428 0.430 0.432 [217] 0.434 0.436 0.438 0.440 0.442 0.444 0.446 0.448 0.450 0.452 0.454 0.456 [229] 0.458 0.460 0.462 0.464 0.466 0.468 0.470 0.472 0.474 0.476 0.478 0.480 [241] 0.482 0.484 0.486 0.488 0.490 0.492 0.494 0.496 0.498 0.500 $spec [1] 3.652049e+03 1.183313e+03 3.267049e+02 3.049034e+02 1.350428e+02 [6] 2.941992e+02 7.467125e+01 5.966567e+00 1.155490e+02 2.023873e+01 [11] 1.317281e+02 3.713679e+01 2.698853e+01 1.222923e+02 1.197791e+00 [16] 3.243647e+01 2.349639e+01 7.578504e+00 2.258635e+01 1.355594e+01 [21] 4.819155e+00 3.417259e+01 8.249188e+01 1.397287e+01 4.662504e+00 [26] 7.696281e+00 2.715719e+01 1.933130e+01 1.224486e+00 9.326971e+00 [31] 2.301977e+00 7.509488e+00 7.453899e-01 1.226800e+00 6.895732e+00 [36] 2.853946e+00 2.906082e+00 1.333043e+00 9.973676e-01 1.873007e+00 [41] 1.213151e+00 1.040543e+01 1.741281e+01 2.515665e+00 2.857658e+00 [46] 1.170121e+00 2.137884e-01 4.491236e+00 2.200530e+00 5.316821e-01 [51] 9.128539e-01 8.087416e-01 2.350138e+00 1.394025e+00 1.598283e+00 [56] 2.103239e-01 8.340221e-01 2.764681e-01 3.414977e-01 5.796048e+00 [61] 2.535902e+00 1.250729e+00 6.348264e-01 3.960704e+00 1.281861e+00 [66] 1.208440e+00 2.155851e-01 4.271169e-01 1.256610e+00 7.212900e-01 [71] 4.591425e-01 2.437169e-01 4.482344e-02 3.512925e-01 4.462198e-01 [76] 1.119307e+00 1.179389e-01 3.238862e-01 1.297198e+00 2.105306e+00 [81] 1.503636e+00 1.576188e+00 6.292742e-01 2.076701e+00 1.431432e+00 [86] 9.558364e-01 1.917887e-02 3.756947e-02 3.020359e-01 5.237512e-02 [91] 1.169568e+00 3.644327e-01 1.104880e+00 4.498391e-03 1.541302e+00 [96] 4.904142e-01 1.101057e-01 1.534501e-01 2.944896e-01 2.055079e-01 [101] 2.304846e-01 7.329170e-02 1.965703e-01 1.150027e+00 1.244263e+00 [106] 8.140741e-01 1.200055e-01 1.643380e-01 5.526330e-01 3.337122e-01 [111] 1.839664e+00 1.242095e-01 2.433860e-01 3.890367e-01 1.269667e-01 [116] 1.979038e-01 5.265807e-01 9.397296e-02 7.170509e-01 2.700869e-01 [121] 6.781409e-02 2.384931e-01 4.771871e-01 1.511475e+00 6.259486e-01 [126] 5.884070e-01 4.332658e-01 5.735994e-01 1.369596e-02 9.815477e-01 [131] 1.023151e+00 5.435222e-01 7.817683e-01 2.441743e-01 1.062435e-01 [136] 3.955989e-02 1.028741e-01 1.585646e-02 5.310542e-02 3.098907e-01 [141] 4.982716e-01 1.661215e-01 2.136830e-01 8.118441e-01 3.840957e-01 [146] 3.223712e-01 2.555465e-01 8.251121e-01 5.002232e-01 1.074963e-01 [151] 3.168831e-02 8.650474e-01 1.335260e+00 8.850653e-01 5.957471e-02 [156] 2.168853e-02 4.257362e-01 7.640408e-01 3.657206e-01 4.946351e-01 [161] 1.294105e-01 4.002539e-01 1.983726e-01 4.697864e-01 6.650611e-01 [166] 9.819999e-01 8.626439e-02 6.110323e-02 1.981261e-01 2.234869e-02 [171] 1.437978e-01 4.465872e-01 2.670068e-01 4.450394e-01 7.303034e-02 [176] 3.378588e-01 1.714271e+00 2.842300e-01 1.594502e-01 6.112681e-01 [181] 8.696997e-01 7.764280e-01 2.668534e-01 4.344621e-01 1.263801e-01 [186] 4.463255e-01 2.687451e-01 4.951569e-02 1.432909e-01 4.198661e-01 [191] 2.919146e-01 1.108362e-01 5.584984e-01 2.927352e-01 2.579603e-02 [196] 1.043585e-01 4.924050e-01 4.092464e-03 5.598047e-02 1.467366e-01 [201] 2.172680e-02 1.616254e-01 1.318796e-01 3.980331e-01 1.690499e-01 [206] 1.040476e-01 2.322920e-01 1.797173e-01 2.840771e-02 2.201402e-03 [211] 1.185635e-01 6.697443e-01 5.210078e-01 1.065057e-01 9.573279e-02 [216] 2.729156e-01 7.428968e-02 4.160760e-01 1.312876e-02 6.865362e-01 [221] 2.625756e-01 1.965888e-02 2.488731e-01 5.290788e-01 1.130940e-01 [226] 9.209793e-01 3.535244e-02 1.118550e-03 1.001464e+00 3.313128e-02 [231] 1.380402e-02 1.271675e+00 2.491576e-02 8.957700e-02 1.934543e-01 [236] 2.723560e-01 5.345069e-02 5.892114e-04 9.374833e-01 2.043291e-03 [241] 4.911003e-01 5.364344e-01 3.734215e-01 1.412065e-01 1.061004e+00 [246] 3.648866e-02 1.976091e-01 2.773568e-01 3.852604e-01 3.166288e-01 $coh NULL $phase NULL $kernel NULL $df [1] 1.791590 $bandwidth [1] 0.0005773503 $n.used [1] 500 $orig.n [1] 500 $series [1] "x" $snames NULL $method [1] "Raw Periodogram" $taper [1] 0.1 $pad [1] 0 $detrend [1] TRUE $demean [1] FALSE attr(,"class") [1] "spec" > postscript(file="/var/www/html/freestat/rcomp/tmp/3cq521227965184.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > cpgram(x,main='Cumulative Periodogram') > dev.off() null device 1 > > system("convert tmp/11yh51227965184.ps tmp/11yh51227965184.png") > system("convert tmp/2yfws1227965184.ps tmp/2yfws1227965184.png") > system("convert tmp/3cq521227965184.ps tmp/3cq521227965184.png") > > > proc.time() user system elapsed 1.056 0.730 1.163