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/1vgsq1228759688.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 -3 -4 -5 -6 -5 -6 -7 -8 -7 -6 -7 -8 -7 [19] -6 -7 -6 -5 -4 -5 -4 -5 -6 -7 -8 -7 -6 -5 -6 -5 -6 -7 [37] -6 -5 -4 -5 -6 -5 -6 -5 -6 -7 -6 -7 -6 -5 -6 -7 -6 -7 [55] -6 -5 -6 -7 -8 -7 -8 -7 -8 -7 -8 -7 -6 -5 -6 -5 -4 -5 [73] -4 -5 -6 -7 -8 -7 -8 -7 -6 -5 -4 -5 -4 -5 -6 -7 -8 -9 [91] -10 -9 -8 -7 -8 -7 -8 -9 -10 -9 -10 -9 -10 -11 -10 -9 -8 -9 [109] -8 -9 -8 -7 -8 -9 -8 -9 -8 -9 -8 -9 -8 -9 -10 -11 -12 -11 [127] -10 -11 -12 -11 -10 -11 -10 -11 -10 -9 -10 -9 -10 -9 -8 -9 -8 -9 [145] -8 -7 -6 -5 -6 -7 -8 -9 -10 -11 -10 -9 -8 -9 -10 -9 -10 -11 [163] -10 -9 -10 -11 -12 -13 -12 -13 -12 -11 -10 -11 -10 -9 -8 -7 -6 -5 [181] -4 -5 -4 -3 -2 -1 0 1 0 1 0 -1 -2 -1 -2 -1 0 1 [199] 0 1 2 1 0 1 0 -1 0 -1 -2 -3 -2 -1 -2 -3 -2 -3 [217] -2 -1 -2 -1 -2 -1 -2 -3 -4 -5 -6 -7 -8 -7 -6 -5 -4 -3 [235] -4 -3 -4 -5 -6 -5 -6 -5 -6 -5 -4 -3 -2 -3 -4 -5 -6 -7 [253] -8 -7 -8 -7 -8 -7 -6 -7 -6 -7 -6 -5 -6 -5 -4 -3 -2 -3 [271] -4 -5 -6 -7 -6 -7 -6 -5 -6 -7 -6 -7 -8 -9 -10 -9 -10 -9 [289] -10 -9 -8 -9 -10 -9 -8 -7 -6 -5 -4 -3 -2 -3 -4 -3 -4 -3 [307] -2 -1 -2 -1 0 1 2 1 2 1 0 -1 0 -1 0 1 2 3 [325] 2 1 0 1 2 1 2 1 2 1 2 1 2 3 4 3 2 1 [343] 0 -1 -2 -1 -2 -3 -2 -3 -4 -5 -4 -5 -4 -3 -4 -5 -4 -3 [361] -2 -1 0 1 2 1 0 -1 -2 -3 -2 -3 -4 -3 -4 -3 -2 -3 [379] -4 -3 -4 -3 -4 -5 -4 -3 -2 -3 -4 -3 -4 -5 -6 -5 -4 -5 [397] -6 -7 -8 -7 -6 -7 -6 -7 -6 -5 -4 -3 -2 -1 -2 -3 -4 -3 [415] -2 -1 -2 -1 -2 -3 -2 -3 -4 -3 -2 -1 -2 -1 0 -1 0 1 [433] 2 3 4 5 4 3 2 1 2 1 2 1 0 1 2 3 2 3 [451] 4 5 4 3 4 3 4 3 4 3 2 1 2 3 2 3 2 3 [469] 2 1 0 1 2 3 4 3 4 5 6 7 8 7 6 5 6 5 [487] 4 5 6 5 6 7 8 9 10 11 10 11 12 13 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2n4lk1228759688.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] 6.841702e+01 2.182314e+02 2.427082e+02 9.241079e+02 8.298986e+01 [6] 2.107753e+01 2.385294e+01 1.874713e+02 1.239853e+02 4.456920e+00 [11] 1.780006e+01 3.334901e+01 5.025342e+01 2.376012e+01 2.596666e+01 [16] 4.277330e+01 2.192728e+01 7.672565e+00 1.019255e+00 2.003662e+01 [21] 2.326790e+01 4.125464e+01 3.287751e+00 1.018088e+01 1.778345e+00 [26] 8.897686e+00 5.825941e-01 4.199356e+00 3.236527e-01 1.193302e+01 [31] 6.313150e+00 2.755810e+00 1.870520e+01 1.207114e+01 4.974535e+00 [36] 7.893292e-01 1.626638e+01 4.965047e-01 1.601432e+01 7.347596e+00 [41] 2.025429e+00 8.250106e-01 1.382362e+01 4.557783e+00 3.484489e+00 [46] 1.008161e+01 4.025298e+00 4.006020e+00 4.575074e-01 1.914478e+00 [51] 2.346227e+00 1.333126e+00 1.540669e-01 1.824106e+00 2.269710e-01 [56] 1.882691e-01 5.244916e+00 4.458619e-01 2.084540e+00 2.723680e+00 [61] 1.646450e+00 2.016628e+00 7.925495e+00 1.003577e+00 3.589310e+00 [66] 1.163745e+00 7.440453e-01 1.119994e+00 6.243115e-01 2.172293e-01 [71] 2.071620e+00 8.772387e-01 5.523165e-01 3.516009e-01 5.676027e-01 [76] 6.153773e-01 3.767405e-01 1.454080e+00 3.396691e-01 5.000385e-01 [81] 2.470922e-01 3.243618e-01 3.402151e-02 5.231766e-01 2.275474e-01 [86] 7.886034e-01 6.805856e-01 6.044958e-01 6.027736e-01 2.704069e-01 [91] 5.623474e-02 1.876842e+00 1.228865e+00 7.172576e-01 5.642851e-01 [96] 1.721006e-01 1.079970e+00 1.226690e+00 3.271428e-01 1.695239e+00 [101] 7.954081e-01 7.587669e-01 7.292942e-02 1.160532e+00 1.695408e-01 [106] 1.293494e+00 4.074182e-01 5.200391e-02 1.045790e+00 5.629749e-01 [111] 3.476752e-02 4.988343e-02 3.977390e-04 4.745749e-01 1.486007e+00 [116] 2.029952e-01 8.480892e-02 1.924343e-02 7.395330e-01 6.615172e-01 [121] 4.480397e-01 8.107056e-01 1.450124e-01 8.028121e-02 2.978616e-01 [126] 2.159118e-01 4.686568e-01 1.842792e-01 1.937296e-01 1.567613e-02 [131] 3.091248e-01 4.881239e-01 7.425984e-01 6.120197e-01 7.456726e-01 [136] 1.856351e-01 8.832928e-02 7.662684e-01 1.037791e-01 2.402941e-01 [141] 6.351737e-01 7.742249e-01 1.273932e-01 2.100494e-01 1.299021e+00 [146] 3.861413e-01 2.308580e-01 5.260257e-01 6.235229e-01 2.346074e-01 [151] 1.559618e-02 1.191109e-01 8.278429e-02 1.677440e-01 2.414579e-02 [156] 9.015670e-01 1.460029e-01 1.070065e-01 2.756756e-03 6.243168e-01 [161] 9.004580e-02 3.921019e-01 1.825149e-01 1.006300e+00 1.061097e-01 [166] 3.564185e-01 3.971188e-01 6.458248e-01 7.830106e-02 2.045834e-01 [171] 4.004284e-01 2.428134e-01 5.324094e-01 7.629876e-03 2.115057e-01 [176] 1.381812e-01 1.627475e-01 2.883774e-01 1.758965e-01 7.132249e-02 [181] 8.476704e-02 7.066797e-01 7.407831e-01 1.299098e-01 3.796278e-01 [186] 9.807404e-02 1.489199e-01 1.498239e-01 1.521550e-01 5.575461e-02 [191] 8.966160e-01 5.714711e-02 2.208965e-01 1.290146e+00 1.667482e-02 [196] 1.731934e-01 3.957243e-01 1.327349e-01 2.559980e-01 1.980217e-01 [201] 2.052218e-01 1.310187e-01 4.446962e-01 2.403117e-01 2.125121e-01 [206] 5.007267e-02 1.116182e+00 8.163447e-01 9.624772e-02 3.864981e-01 [211] 1.832781e-01 3.976687e-01 1.857262e-01 4.268201e-02 3.415833e-01 [216] 1.003171e-01 1.571199e-01 3.365736e-01 6.768094e-01 1.755886e-01 [221] 8.138574e-01 1.435559e+00 6.678258e-01 1.211411e-01 1.424511e-01 [226] 4.759205e-01 7.675297e-02 3.465869e-01 4.282746e-02 1.641777e-01 [231] 5.533946e-03 3.274815e-03 1.312180e-01 1.339708e+00 3.212744e-01 [236] 2.179398e-01 1.126653e-01 8.437710e-02 5.901363e-01 3.074237e-01 [241] 3.681904e-01 8.946233e-02 2.269176e-01 2.058504e-01 1.417852e-01 [246] 1.895489e-02 9.035545e-01 3.986052e-01 3.053743e-02 9.506440e-04 $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/30pt11228759688.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/1vgsq1228759688.ps tmp/1vgsq1228759688.png") > system("convert tmp/2n4lk1228759688.ps tmp/2n4lk1228759688.png") > system("convert tmp/30pt11228759688.ps tmp/30pt11228759688.png") > > > proc.time() user system elapsed 1.058 0.729 1.190