Skip to content

Instantly share code, notes, and snippets.

@giacomov
Created September 6, 2014 01:52
Show Gist options
  • Save giacomov/c0266e40bc452abf0584 to your computer and use it in GitHub Desktop.
Save giacomov/c0266e40bc452abf0584 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"worksheets": [
{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "Taking the chance to experiment with the R extension of the IPython notebook"
},
{
"metadata": {},
"cell_type": "code",
"input": "%load_ext rpy2.ipython\n%matplotlib inline",
"prompt_number": 1,
"outputs": [],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "1.a Simulate an approximation to the true sampling distribution of $q_{.95}$"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "i) Write a function to draw 1000 samples of size N=1258 from a $\\chi^{2}(3)$ distribution. The reason for this choice of N will be apparent below"
},
{
"metadata": {},
"cell_type": "code",
"input": "%%R\n#Not the smartest functions I've ever wrote... :-) I don't have time\n#now to re-implement these functionalities, I'll just go with\n#what R already offers\n\ndrawSamplesFromChi <- function(nsamples, dof ){\nreturn(rchisq(nsamples,dof))\n}\n\ncomputeQuantile <- function(q,sample) {\nqq <- quantile(sample,q)\nreturn(qq)\n}\n",
"prompt_number": 2,
"outputs": [],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "ii) For each sample, compute $q_{95}$"
},
{
"metadata": {},
"cell_type": "code",
"input": "%%R\n\nquantiles <- rep(NA, 1000)\n\nfor (i in 1:1000) {\nsample <- drawSamplesFromChi(1258,3)\nthisQuantile <- computeQuantile(0.95,sample)\nquantiles[i] <- as.numeric(thisQuantile)\n}\nhist(quantiles)",
"prompt_number": 3,
"outputs": [
{
"png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAMAAABKCk6nAAACzVBMVEUAAAABAQECAgIDAwMEBAQF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\n",
"output_type": "display_data",
"metadata": {}
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "(b) Randomly generate a single sample of size N = 1258 from the $\\chi^{2}(3)$ distribution. Write functions to simulate the sampling distribution of $q_{95}$ with the ordinary bootstrap, the M-out-of-N bootstrap, and subsampling from the sample you generated.<br>\ni) These can be done with for-loops<br>\nii) Note that the resample/subsample sizes are different depending on which technique you are using. Use $M = N^{2/3}$ for the M-out-of-N bootstrap and subsampling<br>\niii) Write the functions to be generic - you will use them below."
},
{
"metadata": {},
"cell_type": "code",
"input": "%%R\n\n#Define the 3 bootstrap functions, which are just wrappers around the sample()\n#function of R\n\nordinaryBootstrap <- function(nsamples,vector) {\n bootstraps <- array(NA, dim=c(nsamples,length(vector)))\n for(i in 1:nsamples) {\n bootstraps[i,] <- sample(vector, length(vector), replace = TRUE, prob = NULL)\n }\n return(bootstraps)\n}\n\nMoNbootstrap <- function(nsamples,subsamplesize,vector) {\n bootstraps <- array(NA, dim=c(nsamples,subsamplesize))\n for(i in 1:nsamples) {\n bootstraps[i,] <- sample(vector, subsamplesize, replace = TRUE, prob = NULL)\n }\n return(bootstraps)\n}\n\nsubsampling <- function(nsamples,subsamplesize,vector) {\n bootstraps <- array(NA, dim=c(nsamples,subsamplesize))\n for(i in 1:nsamples) {\n bootstraps[i,] <- sample(vector, subsamplesize, replace = FALSE, prob = NULL)\n }\n return(bootstraps)\n}",
"prompt_number": 4,
"outputs": [],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "<h1> One iteration, and plotting functions</h1>\nHere I define the procedure to perform one iteration of the exercise, and some plotting functions, to be used later."
},
{
"metadata": {},
"cell_type": "code",
"input": "%%R\n\nlibrary(ggplot2)\nlibrary(reshape2)\n\n#The following do one iteration: generate a sample from the chi2 distr,\n#and run the 3 bootstrap function. Then compute the quantile and\n#return the results\n\ngo <- function(N,M,boots) {\n sample <- drawSamplesFromChi(N,3)\n boot1 <- ordinaryBootstrap(boots,sample)\n boot2 <- MoNbootstrap(boots,M,sample)\n boot3 <- subsampling(boots,M,sample)\n\n q1 <- apply(boot1,1,computeQuantile,q=0.95)\n q2 <- apply(boot2,1,computeQuantile,q=0.95)\n q3 <- apply(boot3,1,computeQuantile,q=0.95)\n\n df <- data.frame(\"ordinary\"=q1,\"mon\"=q2,\"subsampling\"=q3)\n return(df)\n}\n\nmyPlot <- function(df,tv,binsize=.15) {\n df$id <- row.names(df)\n dff <- melt(id.var='id', data=df)\n dff$tv <- tv\n (ggplot(dff, aes(x=value, fill=variable)) + geom_histogram(binwidth=binsize, alpha=.5, position=\"identity\") +\n geom_vline(data=dff, aes(xintercept=tv),color='black',linetype=\"dashed\", size=1))\n}\n\nmyErrorBars <- function(x,y,lowBounds,hiBounds,xlab,ylab,title) {\n plot(x, y,\n ylim=range(c(lowBounds, hiBounds)),\n pch=19, xlab=xlab, ylab=ylab,\n main=title)\n \n # hack: we draw arrows but with very special \"arrowheads\"\n arrows(x, lowBounds, x,hiBounds, length=0.01, angle=90, code=3)\n\n}",
"prompt_number": 5,
"outputs": [],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "code",
"input": "%%R\n#Execute one cycle and plot the results\nN <- 1258\nM <- round(N^(2.0/3.0))\nboots <- 1000\nres <- go(N,M,boots)\ntv <- as.numeric(computeQuantile(0.95,drawSamplesFromChi(20000,3)))\nmyPlot(res,tv,.4)",
"prompt_number": 6,
"outputs": [
{
"png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nO3de3RU1d3/8e85cyYT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\nrkJggg==\n",
"output_type": "display_data",
"metadata": {}
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "<h1> Estimate the uncertainty on the bootstrap value from the percentiles of the distribution: coverage </h1>\nHere I verify what is the coverage of the uncertainties obtained by computing the 16 and 84 percentiles of the distributions, which might seem like the easiest solution."
},
{
"metadata": {},
"cell_type": "code",
"input": "%%R\n#Verify the coverage\n\ntrueValue <- as.numeric(computeQuantile(0.95,drawSamplesFromChi(100000,3)))\n\n#Now execute more cycles. For each cycle check if the true value is within the estimated confidence interval\nQ = 100\n\nestimates = array(NA, dim=c(Q,3))\nlowBounds = array(NA, dim=c(Q,3))\nhiBounds = array(NA, dim=c(Q,3))\n\ncoverages <- c(0,0,0)\nfor(i in 1:Q) {\n res <- go(N,M,boots)\n q1 <- res$ordinary\n q2 <- res$mon\n q3 <- res$subsampling\n \n lowBounds[i,] <- c(computeQuantile(0.16,q1),computeQuantile(0.16,q2),computeQuantile(0.16,q3))\n hiBounds[i,] <- c(computeQuantile(0.84,q1),computeQuantile(0.84,q2),computeQuantile(0.84,q3))\n \n estimates[i,] <- c(mean(q1),mean(q2),mean(q3))\n \n coverages <- coverages+(trueValue >= lowBounds[i,] & trueValue <= hiBounds[i,])\n}\n\nnnn = names(res)\nfor(i in 1:3) {\n print(sprintf(\"Coverage of %s bootstrap: %f\", nnn[i],coverages[i]/Q))\n}",
"prompt_number": 11,
"outputs": [
{
"text": "[1] \"Coverage of ordinary bootstrap: 0.700000\"\n[1] \"Coverage of mon bootstrap: 0.990000\"\n[1] \"Coverage of subsampling bootstrap: 0.990000\"\n",
"output_type": "display_data",
"metadata": {}
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "code",
"input": "%%R\n\n#plot the experiments\nxx <- 1:length(estimates[,1])\n\nnnn = c(\"Ordinary bootstrap\",\"M-out-of-N bootstrap\",\"Subsampling\")\nfor(i in 1:3) {\n myErrorBars(xx,estimates[,i],lowBounds[,i],hiBounds[,i],\"Trial\",\"Estimate\",nnn[i])\n abline(h=trueValue,col = \"blue\",lty=2)\n}\n\ntv <- trueValue\n",
"prompt_number": 12,
"outputs": [
{
"png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOzdeTxU6/8A8DPIvu97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\n",
"output_type": "display_data",
"metadata": {}
},
{
"png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOzdeTxU3f8A8DPIvoZI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\nAAAASUVORK5CYII=\n",
"output_type": "display_data",
"metadata": {}
},
{
"png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOzddUAU2/sw8EN3pyAh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\nAAAASUVORK5CYII=\n",
"output_type": "display_data",
"metadata": {}
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "code",
"input": "#Testing the pull mechanism, and use python and pyplot to make the same graphics again\nfrom rpy2 import robjects\n\n%Rpull estimates\n%Rpull lowBounds\n%Rpull hiBounds\n%Rpull trueValue\n%Rpull nnn\n\nprint(trueValue)\n\nimport matplotlib.pyplot as plt\nimport numpy\n\ne = numpy.array(estimates)\nle = numpy.array(lowBounds)\nhe = numpy.array(hiBounds)\nnnn = numpy.array(nnn)\n\nf,subs = plt.subplots(2,2,sharex=True)\nxx = range(1,e.shape[0]+1)\nfor i in range(3):\n y1 = e[:,i]\n y1m = le[:,i]\n y1p = he[:,i]\n thisSub = subs.flatten()[i]\n thisSub.errorbar(xx,y1,yerr=[y1-y1m,y1p-y1],fmt='.')\n thisSub.axhline(trueValue,linestyle='--',color='red',linewidth=2)\n thisSub.set_title(nnn[i])\n thisSub.set_xlabel(\"Trials\")\n thisSub.set_ylabel(\"Estimate\")\npass\nsubs.flatten()[0].set_xlim([0,max(xx)+1])\nsubs.flatten()[0].set_ylim([6,9.5])\nplt.tight_layout()",
"prompt_number": 13,
"outputs": [
{
"output_type": "stream",
"text": "[1] 7.769267\n\n",
"stream": "stdout"
},
{
"png": "iVBORw0KGgoAAAANSUhEUgAABbUAAALICAYAAABIJx3dAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": "<matplotlib.figure.Figure at 0x663dc90>",
"output_type": "display_data",
"metadata": {}
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "It seems that, while the uncertainty obtained from the distribution using the ordinary bootstrap has good coverage property, the same does not hold for the other two bootstrap strategies. The uncertainty in that case appears to be largely overestimated. This has to do with the shape of the distributions themselves, the distribution for the ordinary bootstrap is much more peaked than in the case of the other two strategies. Therefore, the 32 and 84 quantiles as estimate for the \"1-sigma\" confidence region are not good in the case of subsampling and M-out-of-N bootstrap. Now, what about the residuals? Which bootstrap strategy remained closer to the true value in my trials? I need to get many more samples to answer that:"
},
{
"metadata": {},
"cell_type": "code",
"input": "%%R\n#Now execute more cycles. For each cycle check if the true value is within the estimated confidence interval\nQ = 1000\n\nestimates = array(NA, dim=c(Q,3))\nlowBounds = array(NA, dim=c(Q,3))\nhiBounds = array(NA, dim=c(Q,3))\n\ncoverages <- c(0,0,0)\nfor(i in 1:Q) {\n res <- go(N,M,boots)\n q1 <- res$ordinary\n q2 <- res$mon\n q3 <- res$subsampling\n \n lowBounds[i,] <- c(computeQuantile(0.16,q1),computeQuantile(0.16,q2),computeQuantile(0.16,q3))\n hiBounds[i,] <- c(computeQuantile(0.84,q1),computeQuantile(0.84,q2),computeQuantile(0.84,q3))\n \n estimates[i,] <- c(mean(q1),mean(q2),mean(q3))\n \n coverages <- coverages+(trueValue >= lowBounds[i,] & trueValue <= hiBounds[i,])\n}\n\nnnn = names(res)\n",
"outputs": [],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "code",
"input": "%%R\nvv <- data.frame(\"ordinary\"=estimates[,1]-trueValue,\"mon\"=estimates[,2]-trueValue,\"subsampling\"=estimates[,3]-trueValue)\nmyPlot(vv,0,.1)",
"prompt_number": 10,
"outputs": [
{
"png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nO3de3QU9f3/8c/M7MVs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\nIqABQFIENABI6v8BXtoS327PciQAAAAASUVORK5CYII=\n",
"output_type": "display_data",
"metadata": {}
}
],
"language": "python",
"trusted": true,
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Here it seems that, while the ordinary bootstrap converges to the true value, the other two show a bias."
},
{
"metadata": {},
"cell_type": "code",
"input": "",
"outputs": [],
"language": "python",
"trusted": true,
"collapsed": false
}
],
"metadata": {}
}
],
"metadata": {
"name": "",
"signature": "sha256:47a38aeea8d4651e8fafaa8028fad4f90bc2f10e5d6c6f9d55aa9ae1c7f36e49"
},
"nbformat": 3
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment