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. > par2 = '0.5' > par1 = '500' > 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/1yufj1227957582.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 -2 -1 -2 -1 -2 -3 -2 -1 -2 -3 -4 -3 -2 -3 -4 -5 -4 -5 -4 -5 -4 [26] -5 -4 -5 -4 -5 -4 -5 -6 -5 -4 -5 -4 -3 -2 -3 -2 -1 0 -1 -2 -3 -2 -3 -4 -3 [51] -4 -3 -4 -3 -2 -3 -2 -3 -2 -1 0 1 0 -1 0 -1 0 -1 0 -1 -2 -1 0 1 2 [76] 3 2 3 4 3 2 3 4 5 4 5 6 5 6 5 4 5 6 5 4 5 6 5 4 5 [101] 6 7 6 5 4 5 4 5 6 5 4 3 4 5 4 3 2 3 2 3 2 1 2 1 2 [126] 1 2 1 0 -1 -2 -1 0 1 2 3 2 1 2 3 2 3 2 1 2 1 0 -1 0 1 [151] 0 -1 -2 -1 0 -1 -2 -1 0 1 0 -1 -2 -1 -2 -1 0 -1 -2 -1 -2 -1 -2 -1 -2 [176] -1 0 1 2 3 4 3 4 5 6 5 4 3 2 3 2 3 4 5 6 7 8 7 6 7 [201] 6 7 8 9 8 7 8 9 8 7 8 7 6 5 6 5 6 7 6 7 8 9 8 7 6 [226] 7 6 5 4 5 6 7 6 7 6 7 6 7 8 7 6 7 8 9 8 9 10 11 12 13 [251] 14 15 16 17 18 19 20 19 20 19 18 17 16 15 14 13 14 13 12 13 12 13 14 15 16 [276] 15 16 15 16 15 14 13 12 13 12 13 14 13 14 13 14 15 16 15 16 15 14 13 12 13 [301] 14 13 14 13 14 15 14 13 14 13 12 13 12 11 10 11 10 9 8 7 6 5 4 3 2 [326] 3 2 1 0 -1 0 -1 -2 -3 -4 -3 -2 -1 0 -1 0 1 0 -1 0 1 0 1 0 -1 [351] 0 -1 -2 -1 -2 -3 -2 -1 0 1 0 1 0 1 2 1 0 -1 0 1 0 1 2 3 4 [376] 5 4 3 2 1 2 1 0 1 2 1 0 -1 -2 -3 -2 -3 -2 -1 0 -1 -2 -1 -2 -1 [401] -2 -3 -4 -3 -4 -3 -4 -5 -4 -5 -4 -3 -4 -5 -4 -3 -2 -3 -2 -3 -4 -5 -6 -5 -4 [426] -3 -2 -1 0 1 2 1 0 -1 0 1 0 1 2 3 4 3 2 3 4 5 4 3 2 3 [451] 4 3 4 3 2 3 2 3 4 3 2 1 0 1 2 3 2 3 2 3 2 3 2 1 0 [476] -1 0 1 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -7 -6 -5 -4 -3 -4 -3 -2 -1 -2 -1 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2b2021227957582.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] 3.093659e+03 2.091024e+03 1.307445e+03 6.619073e+01 4.774504e+02 [6] 2.044397e+02 1.126836e+02 2.026214e+02 1.205424e+02 1.006098e+02 [11] 2.004358e+01 2.988826e+01 8.540174e+00 5.555991e+00 2.024583e+01 [16] 2.318252e+01 3.330135e+01 1.780070e+01 1.419479e+00 1.688694e+00 [21] 2.805532e+01 7.842545e+00 5.390239e+00 6.148123e-01 2.467933e+01 [26] 1.951727e+01 3.417258e+00 2.910451e+01 1.230333e+01 1.093609e+01 [31] 8.336131e-01 3.367160e+00 1.723226e+00 1.009163e+00 1.698834e-01 [36] 1.402179e+01 6.587516e+00 4.591406e+00 2.432875e+00 1.933218e-01 [41] 5.015924e+00 1.403328e+01 1.596950e+00 4.677069e+00 4.742214e+00 [46] 2.280815e+00 2.441911e+00 2.141265e+00 1.698600e+00 1.339787e+00 [51] 3.154059e-01 3.925588e-02 3.779182e-01 2.026963e-01 3.674438e+00 [56] 4.218690e+00 7.084581e-02 1.859126e+00 4.616202e-01 4.386287e+00 [61] 4.790383e-01 6.962729e-01 4.733464e-01 5.098581e-02 2.461725e-01 [66] 1.139054e+00 3.629533e-01 4.006640e-01 4.885177e-01 1.335354e+00 [71] 2.363417e-01 3.527066e-01 8.479930e-01 2.206053e+00 1.819919e+00 [76] 2.404182e+00 2.885349e+00 2.240201e+00 6.320083e-01 1.405359e-01 [81] 5.092383e-01 3.191030e-01 1.312090e-01 4.577138e+00 6.982416e-01 [86] 2.412273e+00 6.031896e-01 9.341301e-02 3.460203e-02 7.457230e-03 [91] 6.031344e-01 4.673309e-01 7.867132e-01 6.130221e-01 3.323809e-01 [96] 3.736550e+00 2.663308e-01 2.487015e+00 3.963457e-01 8.307233e-01 [101] 1.486501e+00 1.387036e+00 8.382972e-02 9.970042e-02 2.049425e+00 [106] 2.388356e-02 4.587159e-01 3.666584e-01 4.063231e-01 9.318498e-02 [111] 4.100585e-01 3.998561e+00 2.720453e+00 2.296630e-01 8.084274e-02 [116] 4.568314e-01 1.943188e-01 1.718593e-01 3.294756e-01 8.363614e-01 [121] 6.329766e-01 4.417365e-01 1.751520e-01 2.778603e-01 7.821685e-02 [126] 2.378555e-02 1.135753e+00 1.108507e-03 1.027399e-01 1.503395e+00 [131] 1.205400e-01 1.595634e-01 6.559138e-01 3.134543e-01 1.776044e-01 [136] 3.973305e-01 2.256761e-01 1.720336e-01 3.586468e-01 5.271238e-03 [141] 1.045065e+00 1.375903e-01 5.808928e-01 9.484425e-01 1.861128e-01 [146] 9.273120e-03 7.774396e-01 1.977767e-01 5.481255e-01 1.342680e-01 [151] 3.235978e-01 4.939854e-01 6.890512e-01 1.336007e-01 2.334245e-01 [156] 6.194958e-02 1.222512e-02 1.816421e-01 4.556016e-01 1.178916e-02 [161] 9.900667e-01 6.611068e-02 5.367248e-01 3.284898e-01 5.423635e-01 [166] 5.031026e-02 5.718849e-01 2.111834e-01 1.249274e-01 9.337003e-02 [171] 4.667834e-01 1.982832e-01 4.515584e-02 2.446122e-02 9.276982e-02 [176] 1.233858e-01 2.149756e-01 1.535045e-01 3.787671e-01 1.917262e+00 [181] 1.068434e-01 3.055814e-01 3.214892e-01 7.145944e-02 1.279863e-01 [186] 3.915150e-02 1.029243e-01 1.568519e-01 2.558671e-01 3.772103e-02 [191] 3.953213e-01 2.796244e-01 5.764034e-01 3.718940e-01 5.929702e-01 [196] 2.365686e-01 2.711200e-02 1.348095e-01 3.678990e-01 3.900190e-01 [201] 6.789796e-01 1.647658e-01 4.199987e-01 4.014279e-01 3.308220e-01 [206] 5.798619e-01 8.079430e-01 3.404354e-02 1.879313e-01 3.778297e-01 [211] 4.672596e-01 2.611088e-01 2.640352e-01 5.593915e-01 2.213331e-01 [216] 2.180928e-01 2.300662e-01 4.891778e-01 9.459215e-02 4.787673e-01 [221] 9.352751e-02 1.836259e-01 1.063524e-01 2.931016e-01 1.439679e-02 [226] 1.732480e-01 5.176545e-01 1.716301e-01 1.010039e-02 1.469173e-01 [231] 6.008513e-02 3.304402e-02 1.101484e+00 8.137188e-02 3.302135e-01 [236] 4.955980e-02 5.838361e-01 2.393853e-01 3.043224e-01 6.789164e-02 [241] 6.142546e-02 1.194008e-01 3.013138e-01 2.349503e-01 5.313348e-02 [246] 5.843536e-01 3.804360e-02 6.259500e-01 1.286970e-01 7.685909e-02 $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/3a3k21227957582.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/1yufj1227957582.ps tmp/1yufj1227957582.png") > system("convert tmp/2b2021227957582.ps tmp/2b2021227957582.png") > system("convert tmp/3a3k21227957582.ps tmp/3a3k21227957582.png") > > > proc.time() user system elapsed 1.059 0.732 1.198