{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Abstract\n", "\n", "Thirty-three months of daily reading rate data collected by a second-language learner of Mandarin Chinese is analyzed to evaluate growth of mean reading rate as a function of total time spent reading. Two models for this function are fit to the data: (1) a linear model and (2) an exponential decay model where mean reading asymptotically approaches that of a native speaker. Confidence regions for the parameters of these models are plotted, and these confidence regions are then used to (1) evaluate how much growth in mean reading rate has already been achieved and (2) estimate how much further reading will be necessary to reach a reading rate that is comparable to a native speaker. Despite high variance in measured reading rates, it is concluded that after 270 hours of reading the mean reading rate has increased between 52 to 122 percent and anywhere between 700 and 3000 hours of further reading will be necessary to achieve a reading rate comparable to that of a native speaker." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Import Python libraries needed for analysis.\n", "import csv\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import scipy.optimize\n", "import scipy.stats" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. Introduction and Project Objectives\n", "\n", "I study Mandarin Chinese as a hobby. My Chinese reading rate is still slow compared to that of a native speaker, so I've been spending about 20 minutes a day reading in Chinese for a couple years. Every time I've sat down to read I've measured (1) how long I spent reading and (2) how many Chinese characters I've read, thus allowing me to track my reading rate as a function of total time spent reading. The focus of this project will be to analyze this data in an attempt to answer the following questions:\n", "\n", "1. How much can I confidently say my reading rate has improved after this practice?\n", "2. What model of reading rate as a function of total time spent reading appears to fit my reading data best? A linear model may fit the data well, but this would imply that my reading rate increase has remained constant over time. A possibly more reasonable alternative would be an exponential decay model where my reading rate asymptotically approaches that of a native speaker. This model would better capture diminishing returns: Increases in reading rate can only be accomplished via exposure to rarer and rarer vocabulary, and the only way to achieve this exposure is via greater and greater amounts of time spent reading. \n", "3. Assuming that the previously determined best-fit model is correct, when can I expect to reach a reading rate comparable to that of a native speaker?\n", "\n", "This project report is presented in the format of a [Jupyter Notebook](https://jupyter.org) with blocks of Python code interspersed throughout, but programming experience is not necessary to understand the conclusions I have made.\n", "\n", "# 2. Literature Review\n", "\n", "## 2.1 Second-Language Reading Rate Increases\n", "No studies were found that assessed reading rates increases of second-language learners continuously over time. (Beglar and Hunt 2014) summarized several studies that examined reading rate increases of English as a Second-Language (ESL) students who undertook intensive reading programs. Of the ten studies described, however, all of them only assessed student reading rates at the beginning and end of the reading program.\n", "\n", "## 2.2 Chinese Native Speaker Reading Rates\n", "(Trauzettel-Klosinski and Dietz 2012) found that Chinese native speakers read aloud at an average rate of 255 Chinese characters per minute (CPM) with a standard deviation of 29 CPM. This rate is presumably significantly slower than if the test participants read silently, but it is a good estimate of the reading rate a non-native speaker could achieve with extensive practice. \n", "\n", "## 2.3 Zipf's Law\n", "\n", "Zipf's law is an empirical observation that the probability of encountering any given word is inversely proportional to its rank in the word frequency for table in that language (Murphy 2012). If the log of word rank is plotted versus the log of word frequency, a straight line relationship should be observed if Zipf's law holds for the language. The plot below ([Sergio Jimenez/Wikimedia, CC BY-SA 4.0](https://commons.wikimedia.org/wiki/File:Zipf_30wiki_en_labels.png)) shows such a relationship holds for many languages when Wikipedia is used as a corpus.\n", "\n", "![](zipf_law.png)\n", "\n", "# 3. Methods\n", "\n", "## 3.1 Data Collection\n", "\n", "I collected the data used in this project while reading material from three Mandarin language sources:\n", "\n", "1. The [*Remembrance of Earth's Past*](https://en.wikipedia.org/wiki/Remembrance_of_Earth%27s_Past)《地球往事》trilogy by Liu Cixin (often referred to as the *Three Body Problem* trilogy, after the name of the first book). Started March 2016 and finished October 2017.\n", "2. [*Wolf Totem*](https://en.wikipedia.org/wiki/Wolf_Totem)《狼图腾》by Jiang Rong. Started November 2017 and finished September 2018.\n", "3. [\"InTouch Today\"](https://view.news.qq.com/)(今日话题), a daily news essay published by [Tencent](https://en.wikipedia.org/wiki/Tencent) that discusses various topics relevant to current events and society in China. Started reading in September 2018, continuing until the present (December 2018).\n", "\n", "I read only on my Android phone, and the time I spent reading every day was measured by an app ([QualityTime](http://www.qualitytimeapp.com/)) that tracks and reports phone usage data. I attempted to read as quickly as possible while comprehending the material enough so that I could hypothetically produce an English translation. When I encountered a sentence I could not understand, I would continue reading to the end of the sentence, attempting the infer the meaning of any unknown words. If I was still unable to infer the meaning of any unknown words, I would look them up in a Chinese-English dictionary app ([Pleco](https://www.pleco.com/)). Time spent looking up words in the dictionary app was not counted towards the daily time spent reading and thus did not affect the reading rate measurements. In the rare instances I was still unable to understand a sentence after exhausting the information in my dictionary app, I would continue on to the next sentence.\n", "\n", "## 3.2 Linear Model\n", "\n", "The reading rate for any particular reading session (number of characters read divided by time spent reading, [CPM]) is dependent on internal factors (e.g., the size of your vocabulary and your reading comprehension ability) as well as external factors (e.g., fatigue and environmental distractions). The reading rate will vary from session to session due to variance in these internal and external factors, but a mean reading rate can be calculated and tracked over time.\n", "\n", "The first of two proposed models for mean reading rate increase as a function of time spent reading is a simple linear model.\n", "\n", "$$R(t) = R_0 + m t$$\n", "\n", "Where:\n", "\n", "* $R$ is the mean reading rate [CPM].\n", "* $t$ is the total time spent reading [min].\n", "* $R_0$ is the initial mean reading rate [CPM].\n", "* $m$ is a linear coefficient [CPM/min].\n", "\n", "The primary assumption inherent with the linear model is that on all time spent reading is equally effective towards increasing the mean reading rate. That is, if spending an hour reading increases your mean reading rate by 0.1 CPM at the start of a study program, then an hour spent reading after a year of practicing every day for an hour will still increase your mean reading rate by 0.1 CPM.\n", "\n", "## 3.3 Exponential Decay Model\n", "\n", "The linear model may work well for second-language learners at the start of an extensive reading practice program, but it may not work well for learners who have already spent hundreds of hours reading. Advanced learners experience diminishing returns, in which greater amounts of reading time are required for inducing an equivalent increase in the mean reading rate. For such learners an exponential model may be more appropriate for describing increases in the mean reading rate brought about by time spent reading.\n", "\n", "$$R(t) = R_0 + (R_{max}-R_0)(1-e^{-kt})$$\n", "\n", "Where:\n", "\n", "* $R$ is the mean reading rate [CPM].\n", "* $t$ is the total time spent reading [min].\n", "* $R_0$ is the initial mean reading rate [CPM].\n", "* $R_{max}$ is the maximum reading rate that the given second-language learner will be able to achieve [CPM]. As described in the literature review section, a value of 255 CPM is a good estimate for this parameter.\n", "* $k$ is an exponential decay coefficient [min${}^{-1}$].\n", "\n", "In the exponential decay model, the mean reading rate $R$ will asymptotically approach the maximum reading rate $R_{max}$ as the total reading practice time $t$ increases. A higher value for the exponential decay coefficient $k$ implies that $R$ will approach $R_{max}$ more quickly.\n", "\n", "The exponential decay model above may be more appropriate than the linear model because of [Zipf's Law](https://en.wikipedia.org/wiki/Zipf%27s_law). If one's reading rate is proportional to the size of one's vocabulary, and a word only becomes part of one's vocabulary when one has read it several times, then more and more reading will be required to learn rarer and rarer words. The simulation below demonstrates this phenomenon." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# number of random variables to sample from Zipf distribution\n", "total_words = 10**8\n", "\n", "# number of points to plot\n", "num_plot_points = 100\n", "\n", "# x-axis of plot\n", "words_read = np.logspace(3, np.log10(total_words), num=num_plot_points)\n", "\n", "# y-axis of plot\n", "words_known = np.zeros(num_plot_points)\n", "\n", "# Take sample of random variables from Zipf distribution.\n", "r = scipy.stats.zipf.rvs(a=2, size=total_words)\n", "\n", "# Take progressively larger subsets of the previously collected sample, noting how many values\n", "# have occurred three or more times.\n", "for i in range(num_plot_points):\n", " sample = r[:int(words_read[i])]\n", " unique, counts = np.unique(sample, return_counts=True)\n", " words_known[i] = counts[counts>2].size\n", " \n", "# Plot results.\n", "fig, ax = plt.subplots(figsize=(8,5))\n", "ax.plot(words_read, words_known)\n", "ax.set_title('Simulated Increase in Second-Language Reading Skill', fontsize=14)\n", "ax.set_xlabel('Total Number of Words Read', fontsize=14)\n", "ax.set_ylabel('Number of Words Known', fontsize=14)\n", "ax.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this simulation, a word is considered \"known\" when it has been encountered three or more times. Initially, when the language learner does not know many words, their vocabulary (and thus their reading ability) grows at a rapid rate. As their vocabulary grows, they must read more in order to be exposed to rarer words, and the growth in their reading ability tapers off.\n", "\n", "## 3.4 Calculating Confidence Regions for the Parameters of a Fitted Model\n", "\n", "Confidence regions for the $p$ parameters of any linear model\n", "\n", "$$Y = \\beta_0 + \\beta_1 X_1 + \\beta_2 X_2 + \\ldots + \\beta_{p-1} X_{p-1}$$ \n", "\n", "can be determined (Draper and Smith 1998) via the equation \n", "\n", "$$S(\\boldsymbol{\\theta}) = S \\left( \\hat{\\boldsymbol{\\theta}} \\right) \\left [ 1 + \\frac{p}{n-p} F(p,n-p,1-\\alpha) \\right ]$$\n", "\n", "Where:\n", "\n", "* $S$ is the sum of squared residuals.\n", "* $\\boldsymbol{\\theta}$ is the vector of model parameters.\n", "* $\\hat{\\boldsymbol{\\theta}}$ is the best-fit vector of model parameters that minimizes the sum of squared squared residuals $S$.\n", "* $F$ is the cumulative [F-distribution](https://en.wikipedia.org/wiki/F-distribution).\n", "* $p$ is the number of model parameters.\n", "* $n$ is the number of data points.\n", "* $1 - \\alpha$ is the confidence level of the confidence region.\n", "\n", "The simple linear model described above has two fitted parameters, $R_0$ and $m$. If a plot in parameter space is made (where $R_0$ corresponds to one axis and $m$ corresponds to the other), selecting a constant value for $S$ results in an ellipse centered around the best-fit parameter values $\\hat{\\boldsymbol{\\theta}} = (\\hat{R}_0,\\hat{m})$. It can be stated with a confidence level of $1 - \\alpha$ that the true values for $R_0$ and $m$ are contained within the \"confidence region\" enclosed by this ellipse, subject to the following assumptions:\n", "\n", "1. The fitted model is correct.\n", "2. The error about the fitted model is normally distributed.\n", "\n", "The exponential decay model described above also has two fitted parameters ($R_0$ and $k$), but it is not linear. For a nonlinear model, the contours will not necessarily be ellipsoidal and they will represent confidence regions with an *approximate* confidence level of $1 - \\alpha$, subject to the same two assumptions listed above.\n", "\n", "# 4. Results and Discussion\n", "\n", "## 4.1 Data Import" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Import reading data from the csv files. There are three files, corresponding to three sources of reading practice material:\n", "\n", "1. `Remembrance_of_Earths_Past.csv`: The [*Remembrance of Earth's Past*](https://en.wikipedia.org/wiki/Remembrance_of_Earth%27s_Past) trilogy, by Liu Cixin.\n", "\n", "2. `Wolf_Totem.csv`: [*Wolf Totem*](https://en.wikipedia.org/wiki/Wolf_Totem), by Jiang Rong.\n", "\n", "3. `InTouch_Today.csv`: [\"InTouch Today\"](https://view.news.qq.com/), published by Tencent." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Import reading data for Remembrance of Earth's Past.\n", "rep_t = np.array([]) # total reading time [min]\n", "rep_rr = np.array([]) # reading rate [cpm]\n", "\n", "with open('Remembrance_of_Earths_Past.csv',newline='') as file_object:\n", " csv_data = csv.reader(file_object,delimiter=',')\n", " next(csv_data)\n", " for row in csv_data:\n", " rep_t = np.append(rep_t, float(row[1]))\n", " rep_rr = np.append(rep_rr, float(row[2]))\n", "\n", "# Import reading data for Wolf Totem.\n", "wt_t = np.array([]) # total reading time [min]\n", "wt_rr = np.array([]) # reading rate [cpm]\n", "\n", "with open('Wolf_Totem.csv',newline='') as file_object:\n", " csv_data = csv.reader(file_object,delimiter=',')\n", " next(csv_data)\n", " for row in csv_data:\n", " wt_t = np.append(wt_t, float(row[1]))\n", " wt_rr = np.append(wt_rr, float(row[2]))\n", "\n", "# Import reading data for Tencent News \"InTouch Today\".\n", "itt_t = np.array([]) # total reading time [min]\n", "itt_rr = np.array([]) # reading rate [cpm]\n", "\n", "with open('InTouch_Today.csv',newline='') as file_object:\n", " csv_data = csv.reader(file_object,delimiter=',')\n", " next(csv_data)\n", " for row in csv_data:\n", " itt_t = np.append(itt_t, float(row[1]))\n", " itt_rr = np.append(itt_rr, float(row[2]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, plot the reading data." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.style.use('seaborn-colorblind')\n", "fig, ax = plt.subplots(figsize=(12,8))\n", "ax.plot(rep_t/60, rep_rr, 'o', label='Remembrance of Earth\\'s Past')\n", "ax.plot((wt_t+rep_t[-1])/60, wt_rr, 'o', label='Wolf Totem')\n", "ax.plot((itt_t+rep_t[-1]+wt_t[-1])/60, itt_rr, 'o', label='InTouch Today')\n", "ax.set_title('Chinese Reading Rate over Time', fontsize=14)\n", "ax.set_xlabel('Cumulative Reading Time [hours]', fontsize=14)\n", "ax.set_ylabel('Reading Rate [characters per minute]', fontsize=14)\n", "plt.grid()\n", "plt.legend(fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot above suggests that:\n", "\n", "1. Each source of reading material appears to have a unique level of difficulty.\n", "2. From day to day, measured reading rates exhibit a high degree of variance.\n", "3. The reading rate for each reading material source appears to be positively correlated with cumulative time spent reading material from that source.\n", "\n", "## 4.2 Linear Model\n", "\n", "Define functions used by linear model." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Define function for linear model.\n", "def lin_mod(t, R_0, m):\n", " \"\"\"\n", " calculates R = mean reading rate [CPM]\n", " t = total time spent reading [min]\n", " R_0 = initial mean reading rate [CPM]\n", " m = linear coefficient [CPM/min]\n", " \"\"\"\n", " R = R_0 + m*t\n", " return R\n", "\n", "# Define functions for calculating sum of squared residuals and R^2.\n", "def ssr_lin(param, t, rr):\n", " \"\"\"\n", " calculates ssr = sum of squared residuals [CPM^2]\n", " param = vector of parameters used by linear model (R_0, m)\n", " t = total time spent reading [min]\n", " rr = mean reading rate [CPM]\n", " \"\"\"\n", " R_0 = param[0]\n", " m = param[1]\n", " resid = rr - lin_mod(t, R_0, m)\n", " return np.sum(resid**2)\n", "\n", "def ssr_lin2(R0, m, t, rr):\n", " \"\"\"\n", " calculates ssr = sum of squared residuals [CPM^2]\n", " param = vector of parameters used by linear model (R_0, m)\n", " t = total time spent reading [min]\n", " rr = mean reading rate [CPM]\n", " \"\"\"\n", " resid = rr - lin_mod(t, R0, m)\n", " return np.sum(resid**2)\n", "\n", "def r_sq(rr, ssr):\n", " \"\"\"\n", " calculates R^2 value for model fit\n", " rr = mean reading rate [CPM] \n", " ssr = sum of squared residuals [CPM^2]\n", " \"\"\"\n", " # Calculate total sum of squares, tss [CPM^2].\n", " tss = np.sum((rr - np.mean(rr))**2)\n", " return 1 - (ssr/tss)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.2.1 Linear Model Fit for *Remembrance of Earth's Past*" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Determine best-fit parameters for linear model.\n", "rep_lin_bf = scipy.optimize.curve_fit(lin_mod, rep_t, rep_rr)[0]\n", "\n", "# best-fit sum of squared residuals for linear model\n", "rep_ssr_lin_bf = ssr_lin(rep_lin_bf, rep_t, rep_rr)\n", "\n", "# R^2 for linear model fit\n", "rep_r_sq = round(r_sq(rep_rr, rep_ssr_lin_bf), 3)\n", "\n", "# linear model mean reading rate values\n", "rep_lin_mod_rr = lin_mod(rep_t, rep_lin_bf[0], rep_lin_bf[1])\n", "\n", "# Plot data and linear model fit.\n", "fig, ax = plt.subplots(figsize=(12,8))\n", "ax.plot(rep_t, rep_rr, 'o', label='reading data')\n", "ax.plot(rep_t, rep_lin_mod_rr, label='mean reading rate (linear model)')\n", "ax.text(4010, 52, 'R₀ = '+str(round(rep_lin_bf[0], 1))+' CPM', fontsize=14)\n", "ax.text(4010, 47, 'm = '+str(round(rep_lin_bf[1], 6))+' CPM/min = '+str(round(rep_lin_bf[1]*60, 2))+' CPM/hr',\n", " fontsize=14)\n", "ax.text(4010, 42, 'R² = '+str(rep_r_sq), fontsize=14)\n", "ax.set_title('Linear Model Fit for \\\"Remembrance of Earth\\'s Past\\\"', fontsize=14)\n", "ax.set_xlabel('Cumulative Reading Time [minutes]', fontsize=14)\n", "ax.set_ylabel('Reading Rate [characters per minute]', fontsize=14)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A linear model appears to fit the data for the *Remembrance of Earth's Past* trilogy fairly well, although the $R^2$ value of 0.304 may not be considered high by some." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# resolution at which to map SSR in parameter space\n", "R0_res = 110\n", "m_res = 100\n", "\n", "# axes in parameter space\n", "R0_vals = np.linspace(58, 70, R0_res)\n", "m_vals = np.linspace(0.0025, 0.005, m_res)\n", "\n", "# Map SSR in parameter space.\n", "rep_ssr_map = np.zeros((R0_res, m_res))\n", "for i in range(R0_res):\n", " for j in range(m_res):\n", " rep_ssr_map[i,j] = ssr_lin([R0_vals[i], m_vals[j]], rep_t, rep_rr)\n", "\n", "# Plot SSR contour corresponding to 95% confidence region.\n", "n = rep_t.size\n", "p = 2\n", "conf_level = 0.95\n", "ssr_threshold = rep_ssr_lin_bf*(1 + p/(n-p)*scipy.stats.f.ppf(q=conf_level, dfn=p, dfd=n-p))\n", "\n", "fig,ax = plt.subplots(figsize=(8,8))\n", "\n", "x,y = np.meshgrid(m_vals, R0_vals)\n", "ax.contour(x, y, rep_ssr_map, [ssr_threshold])\n", "ax.scatter(rep_lin_bf[1], rep_lin_bf[0], s=100, marker='x', label='global minimum')\n", "ax.set_title('95% Confidence Region for Linear Model Parameters \\n\\\"Remembrance of Earth\\'s Past\\\"',\n", " fontsize=14)\n", "ax.set_xlabel('Linear Coefficient, m [CPM/min]', fontsize=14)\n", "ax.set_ylabel('Initial Reading Rate, R₀ [CPM]', fontsize=14)\n", "ax.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is a plot in parameter space showing a 95 percent confidence region for the two fitted parameters: the initial mean reading rate $R_0$ and the linear model coefficient $m$. As expected for a linear model, the confidence region is an ellipse and the global minimum is located in the center.\n", "\n", "Out of all the possible pairs of values for $R_0$ and $m$ represented on this plot, it can be stated with 95 percent confidence that the true pair of values lies inside the ellipsoidal region. At no point does the ellipse intersect with the $m=0$ axis, so I can disprove a null hypothesis stating that my reading rate has not improved at all.\n", "\n", "In terms of evaluating how much my reading rate improved on a relative basis over the course of reading this book, two points at opposite ends of the ellipse present two plausible minimum and maximum scenarios:\n", "\n", "* If $m = 0.00295$ CPM/min and $R_0 = 68.3$ CPM, then my reading rate improved 37%.\n", "* If $m = 0.00469$ CPM/min and $R_0 = 59.5$ CPM, then my reading rate improved 67%." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.2.2 Linear Model Fit for *Wolf Totem*" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Determine best-fit parameters for linear model.\n", "wt_lin_bf = scipy.optimize.curve_fit(lin_mod, wt_t, wt_rr)[0]\n", "\n", "# best-fit sum of squared residuals for linear model\n", "wt_ssr_lin_bf = ssr_lin(wt_lin_bf, wt_t, wt_rr)\n", "\n", "# R^2 for linear model fit\n", "wt_r_sq = round(r_sq(wt_rr, wt_ssr_lin_bf), 3)\n", "\n", "# linear model mean reading rate values\n", "wt_lin_mod_rr = lin_mod(wt_t, wt_lin_bf[0], wt_lin_bf[1])\n", "\n", "# Plot data and linear model fit.\n", "fig, ax = plt.subplots(figsize=(12,8))\n", "ax.plot(wt_t, wt_rr, 'o', label='reading data')\n", "ax.plot(wt_t, wt_lin_mod_rr, label='mean reading rate (linear model)')\n", "ax.text(0, 112, 'R₀ = '+str(round(wt_lin_bf[0], 1))+' CPM', fontsize=14)\n", "ax.text(0, 107, 'm = '+str(round(wt_lin_bf[1], 6))+' CPM/min = '+str(round(wt_lin_bf[1]*60, 2))+' CPM/hr',\n", " fontsize=14)\n", "ax.text(0, 102, 'R² = '+str(wt_r_sq), fontsize=14)\n", "ax.set_title('Linear Model Fit for \\\"Wolf Totem\\\"', fontsize=14)\n", "ax.set_xlabel('Cumulative Reading Time [minutes]', fontsize=14)\n", "ax.set_ylabel('Reading Rate [characters per minute]', fontsize=14)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A linear model also appears to fit the *Wolf Totem* data fairly well, although the $R^2$ value of 0.091 is even lower than that for the *Remembrance of Earth's Past* data." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# resolution at which to map SSR in parameter space\n", "R0_res = 110\n", "m_res = 100\n", "\n", "# axes in parameter space\n", "R0_vals = np.linspace(60, 70, R0_res)\n", "m_vals = np.linspace(0.001, 0.0035, m_res)\n", "\n", "# Map SSR in parameter space.\n", "wt_ssr_map = np.zeros((R0_res, m_res))\n", "for i in range(R0_res):\n", " for j in range(m_res):\n", " wt_ssr_map[i,j] = ssr_lin([R0_vals[i], m_vals[j]], wt_t, wt_rr)\n", "\n", "# Plot SSR contour corresponding to 95% confidence region.\n", "n = wt_t.size\n", "p = 2\n", "conf_level = 0.95\n", "ssr_threshold = wt_ssr_lin_bf*(1 + p/(n-p)*scipy.stats.f.ppf(q=conf_level, dfn=p, dfd=n-p))\n", "\n", "fig,ax = plt.subplots(figsize=(8,8))\n", "\n", "x,y = np.meshgrid(m_vals, R0_vals)\n", "ax.contour(x, y, wt_ssr_map, [ssr_threshold])\n", "ax.scatter(wt_lin_bf[1], wt_lin_bf[0], s=100, marker='x', label='global minimum')\n", "ax.set_title('95% Confidence Region for Linear Model Parameters \\n\\\"Wolf Totem\\\"',\n", " fontsize=14)\n", "ax.set_xlabel('Linear Coefficient, m [CPM/min]', fontsize=14)\n", "ax.set_ylabel('Initial Reading Rate, R₀ [CPM]', fontsize=14)\n", "ax.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the 95 percent confidence region is once again an ellipse. The minimum and maximum relative improvements are:\n", "\n", "* If $m = 0.00121$ CPM/min and $R_0 = 69.3$ CPM, then my reading rate improved 11%.\n", "* If $m = 0.00331$ CPM/min and $R_0 = 61.5$ CPM, then my reading rate improved 33%." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.2.3 Linear Model Fit for \"InTouch Today\"" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Determine best-fit parameters for linear model.\n", "itt_lin_bf = scipy.optimize.curve_fit(lin_mod, itt_t, itt_rr)[0]\n", "\n", "# best-fit sum of squared residuals for linear model\n", "itt_ssr_lin_bf = ssr_lin(itt_lin_bf, itt_t, itt_rr)\n", "\n", "# R^2 for linear model fit\n", "itt_r_sq = round(r_sq(itt_rr, itt_ssr_lin_bf), 4)\n", "\n", "# linear model mean reading rate values\n", "itt_lin_mod_rr = lin_mod(itt_t, itt_lin_bf[0], itt_lin_bf[1])\n", "\n", "# Plot data and linear model fit.\n", "fig, ax = plt.subplots(figsize=(12,8))\n", "ax.plot(itt_t, itt_rr, 'o', label='reading data')\n", "ax.plot(itt_t, itt_lin_mod_rr, label='mean reading rate (linear model)')\n", "ax.text(800, 48, 'R₀ = '+str(round(itt_lin_bf[0], 1))+' CPM', fontsize=14)\n", "ax.text(800, 45, 'm = '+str(round(itt_lin_bf[1], 6))+' CPM/min = '+str(round(itt_lin_bf[1]*60, 2))+' CPM/hr',\n", " fontsize=14)\n", "ax.text(800, 42, 'R² = '+str(itt_r_sq), fontsize=14)\n", "ax.set_title('Linear Model Fit for \\\"InTouch Today\\\"', fontsize=14)\n", "ax.set_xlabel('Cumulative Reading Time [minutes]', fontsize=14)\n", "ax.set_ylabel('Reading Rate [characters per minute]', fontsize=14)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I have not spent as much time reading from this source as I have the other two, so a positive trend is not so apparent. The best-fit linear line does have a positive slope, but the $R^2$ value of 0.0015 is low." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# resolution at which to map SSR in parameter space\n", "R0_res = 110\n", "m_res = 100\n", "\n", "# axes in parameter space\n", "R0_vals = np.linspace(54, 67, R0_res)\n", "m_vals = np.linspace(-0.006, 0.008, m_res)\n", "\n", "# Map SSR in parameter space.\n", "itt_ssr_map = np.zeros((R0_res, m_res))\n", "for i in range(R0_res):\n", " for j in range(m_res):\n", " itt_ssr_map[i,j] = ssr_lin([R0_vals[i], m_vals[j]], itt_t, itt_rr)\n", "\n", "# Plot SSR contour corresponding to 95% confidence region.\n", "n = itt_t.size\n", "p = 2\n", "conf_level = 0.95\n", "ssr_threshold = itt_ssr_lin_bf*(1 + p/(n-p)*scipy.stats.f.ppf(q=conf_level, dfn=p, dfd=n-p))\n", "\n", "fig,ax = plt.subplots(figsize=(8,8))\n", "\n", "x,y = np.meshgrid(m_vals, R0_vals)\n", "ax.contour(x, y, itt_ssr_map, [ssr_threshold])\n", "ax.scatter(itt_lin_bf[1], itt_lin_bf[0], s=100, marker='x', label='global minimum')\n", "ax.set_title('95% Confidence Region for Linear Model Parameters \\n\\\"InTouch Today\\\"',\n", " fontsize=14)\n", "ax.set_xlabel('Linear Coefficient, m [CPM/min]', fontsize=14)\n", "ax.set_ylabel('Initial Reading Rate, R₀ [CPM]', fontsize=14)\n", "ax.axvline(x=0, color='#4dac26')\n", "ax.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The confidence region is once again an ellipse as expected, but this time it intersects the $m=0$ CPM/min axis. In this scenario I fail to reject a null hypothesis stating that my reading rate has not improved at all." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.3 Exponential Decay Model\n", "\n", "Define functions used by exponential decay model. I will only fit this model to the *Remembrance of Earth's Past* and *Wolf Totem* data." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Define function for exponential decay model.\n", "def ed_mod(t, R0, k):\n", " \"\"\"\n", " calculates mean reading rate [CPM]\n", " t = total time spent reading [min]\n", " R0 = initial mean reading rate [CPM]\n", " k = exponential decay coefficient [min^-1]\n", " \"\"\"\n", " # maximum achievable mean reading rate [CPM]\n", " R_max = 255\n", " \n", " rr = R0 + (R_max - R0)*(1 - np.exp(-k*t))\n", " return rr\n", "\n", "# Define functions for calculating sum of squared residuals and R^2.\n", "def ssr_ed(param, t, rr):\n", " \"\"\"\n", " calculates ssr = sum of squared residuals [CPM^2]\n", " param = vector of parameters used by exponential decay model (R_0, k)\n", " t = total time spent reading [min]\n", " rr = mean reading rate [CPM]\n", " \"\"\"\n", " R0 = param[0]\n", " k = param[1]\n", " resid = rr - ed_mod(t, R0, k)\n", " return np.sum(resid**2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3.1 Exponential Decay Model Fit for *Remembrance of Earth's Past*" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Determine best-fit parameters for exponential decay model.\n", "rep_ed_bf = scipy.optimize.curve_fit(ed_mod, rep_t, rep_rr, (50,0.001))[0]\n", "\n", "# best-fit sum of squared residuals for exponential decay model\n", "rep_ssr_ed_bf = ssr_ed(rep_ed_bf, rep_t, rep_rr)\n", "\n", "# R^2 for exponential decay model fit\n", "rep_ed_r_sq = round(r_sq(rep_rr, rep_ssr_ed_bf), 3)\n", "\n", "# exponential decay model mean reading rate values\n", "rep_ed_mod_rr = ed_mod(rep_t, rep_ed_bf[0], rep_ed_bf[1])\n", "\n", "# Plot data and linear model fit.\n", "fig, ax = plt.subplots(figsize=(12,8))\n", "ax.plot(rep_t, rep_rr, 'o', label='reading data')\n", "ax.plot(rep_t, rep_ed_mod_rr, label='mean reading rate (exponential decay model)')\n", "ax.text(4010, 52, 'R₀ = '+str(round(rep_ed_bf[0], 1))+' CPM', fontsize=14)\n", "ax.text(4010, 47, 'k = '+str(round(rep_ed_bf[1], 6))+' min⁻¹', fontsize=14)\n", "ax.text(4010, 42, 'R² = '+str(rep_ed_r_sq), fontsize=14)\n", "ax.set_title('Exponential Decay Model Fit for \\\"Remembrance of Earth\\'s Past\\\"', fontsize=14)\n", "ax.set_xlabel('Cumulative Reading Time [minutes]', fontsize=14)\n", "ax.set_ylabel('Reading Rate [characters per minute]', fontsize=14)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The exponential decay model fit looks very similar to the linear model fit, but very slight downward curvature can be seen if a straightedge is held up to the model mean reading rate curve. The $R^2$ value of 0.306 is close to the linear model $R^2$ value of 0.304." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# resolution at which to map SSR in parameter space\n", "R0_res = 110\n", "k_res = 100\n", "\n", "# axes in parameter space\n", "R0_vals = np.linspace(58, 70, R0_res)\n", "k_vals = np.linspace(1.5e-5, 2.8e-5, k_res)\n", "\n", "# Map SSR in parameter space.\n", "rep_ssr_map = np.zeros((R0_res, k_res))\n", "for i in range(R0_res):\n", " for j in range(k_res):\n", " rep_ssr_map[i,j] = ssr_ed([R0_vals[i], k_vals[j]], rep_t, rep_rr)\n", "\n", "# Plot SSR contour corresponding to 95% confidence region.\n", "n = rep_t.size\n", "p = 2\n", "conf_level = 0.95\n", "ssr_threshold = rep_ssr_ed_bf*(1 + p/(n-p)*scipy.stats.f.ppf(q=conf_level, dfn=p, dfd=n-p))\n", "\n", "fig,ax = plt.subplots(figsize=(8,8))\n", "\n", "x,y = np.meshgrid(k_vals, R0_vals)\n", "ax.contour(x, y, rep_ssr_map, [ssr_threshold])\n", "ax.scatter(rep_ed_bf[1], rep_ed_bf[0], s=100, marker='x', label='global minimum')\n", "ax.set_title('Approximate 95% Confidence Region for Exponential Decay Model Parameters \\n\\\"Remembrance of Earth\\'s Past\\\"',\n", " fontsize=14)\n", "ax.set_xlabel('Exponential Decay Coefficient, k [min⁻¹]', fontsize=14)\n", "ax.set_ylabel('Initial Reading Rate, R₀ [CPM]', fontsize=14)\n", "ax.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An approximate 95% confidence region is shown above for the exponential decay model applied to the *Remembrance of Earth's Past* data. Such confidence regions are not necessarily ellipsoidal for nonlinear models, but in this instance the confidence region is an ellipse because the model fit only has a slight degree of curvature. \n", "\n", "The minimum and maximum relative mean reading rate improvements of 37% and 69% are similar to the linear model fit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3.2 Exponential Decay Model Fit for *Wolf Totem*" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Determine best-fit parameters for exponential decay model.\n", "wt_ed_bf = scipy.optimize.curve_fit(ed_mod, wt_t, wt_rr, (50,0.001))[0]\n", "\n", "# best-fit sum of squared residuals for exponential decay model\n", "wt_ssr_ed_bf = ssr_ed(wt_ed_bf, wt_t, wt_rr)\n", "\n", "# R^2 for exponential decay model fit\n", "wt_ed_r_sq = round(r_sq(wt_rr, wt_ssr_ed_bf), 3)\n", "\n", "# exponential decay model mean reading rate values\n", "wt_ed_mod_rr = ed_mod(wt_t, wt_ed_bf[0], wt_ed_bf[1])\n", "\n", "# Plot data and linear model fit.\n", "fig, ax = plt.subplots(figsize=(12,8))\n", "ax.plot(wt_t, wt_rr, 'o', label='reading data')\n", "ax.plot(wt_t, wt_ed_mod_rr, label='mean reading rate (exponential decay model)')\n", "ax.text(10, 112, 'R₀ = '+str(round(wt_ed_bf[0], 1))+' CPM', fontsize=14)\n", "ax.text(10, 107, 'k = '+str(round(wt_ed_bf[1], 6))+' min⁻¹', fontsize=14)\n", "ax.text(10, 102, 'R² = '+str(wt_ed_r_sq), fontsize=14)\n", "ax.set_title('Exponential Decay Model Fit for \\\"Wolf Totem\\\"', fontsize=14)\n", "ax.set_xlabel('Cumulative Reading Time [minutes]', fontsize=14)\n", "ax.set_ylabel('Reading Rate [characters per minute]', fontsize=14)\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Like the exponential decay model fit to the *Remembrance of Earth's Past* data, the exponential decay model fit to the *Wolf Totem* data also exhibits a small degree of curvature. The $R^2$ value of 0.091 is the same as the $R^2$ value for the linear model, within the number of significant figures used." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# resolution at which to map SSR in parameter space\n", "R0_res = 110\n", "k_res = 100\n", "\n", "# axes in parameter space\n", "R0_vals = np.linspace(60, 70, R0_res)\n", "k_vals = np.linspace(5e-6, 2e-5, k_res)\n", "\n", "# Map SSR in parameter space.\n", "wt_ssr_map = np.zeros((R0_res, k_res))\n", "for i in range(R0_res):\n", " for j in range(k_res):\n", " wt_ssr_map[i,j] = ssr_ed([R0_vals[i], k_vals[j]], wt_t, wt_rr)\n", "\n", "# Plot SSR contour corresponding to 95% confidence region.\n", "n = wt_t.size\n", "p = 2\n", "conf_level = 0.95\n", "ssr_threshold = wt_ssr_ed_bf*(1 + p/(n-p)*scipy.stats.f.ppf(q=conf_level, dfn=p, dfd=n-p))\n", "\n", "fig,ax = plt.subplots(figsize=(8,8))\n", "\n", "x,y = np.meshgrid(k_vals, R0_vals)\n", "ax.contour(x, y, wt_ssr_map, [ssr_threshold])\n", "ax.scatter(wt_ed_bf[1], wt_ed_bf[0], s=100, marker='x', label='global minimum')\n", "ax.set_title('Approximate 95% Confidence Region for Exponential Decay Model Parameters \\n\\\"Wolf Totem\\\"',\n", " fontsize=14)\n", "ax.set_xlabel('Exponential Decay Coefficient, k [min⁻¹]', fontsize=14)\n", "ax.set_ylabel('Initial Reading Rate, R₀ [CPM]', fontsize=14)\n", "ax.legend()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An approximate 95 percent confidence region for the parameters of the exponential decay model fit to the *Wolf Totem* data is show above. Like the confidence region for the *Remembrance of Earth's Past* data, it is ellipsoidal. Minimum and maximum relative reading rate improvements of 11% and 34% are also similar to the linear model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.4 Reading Rate Model Extrapolations\n", "\n", "Finally, I will extrapolate the linear and exponential decay models in an attempt to estimate how long it will take to reach a target mean reading rate of 200 CPM." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# native reading rate [CPM]\n", "max_rr = 255\n", "\n", "# minimum and maximum linear model coefficients from 95% confidence regions [CPM/min]\n", "rep_m_min = 0.002887\n", "rep_m_max = 0.004749\n", "wt_m_min = 0.001173\n", "wt_m_max = 0.003352\n", "\n", "# minimum and maximum exponential decay model coefficient from 95% confidence regions [min^-1]\n", "rep_k_min = 1.67E-05\n", "rep_k_max = 2.74E-05\n", "wt_k_min = 6.45E-06\n", "wt_k_max = 1.84E-05\n", "\n", "# hypothetical initial mean reading rate [CPM]\n", "rr0 = 80\n", "\n", "# hypothetical cumulative reading time [min]\n", "t = np.linspace(0, 200000, 100)\n", "\n", "# linear model mean reading rate extrapolations [CPM]\n", "rep_lin_min = lin_mod(t, rr0, rep_m_min)\n", "rep_lin_max = lin_mod(t, rr0, rep_m_max)\n", "wt_lin_min = lin_mod(t, rr0, wt_m_min)\n", "wt_lin_max = lin_mod(t, rr0, wt_m_max)\n", "\n", "# exponential decay model mean reading rate extrapolations [CPM]\n", "rep_ed_min = ed_mod(t, rr0, rep_k_min)\n", "rep_ed_max = ed_mod(t, rr0, rep_k_max)\n", "wt_ed_min = ed_mod(t, rr0, wt_k_min)\n", "wt_ed_max = ed_mod(t, rr0, wt_k_max)\n", "\n", "# Plot results.\n", "fig,(ax0,ax1) = plt.subplots(nrows=2,ncols=1,figsize=(10,10))\n", "\n", "ax0.fill_between(t/60, rep_lin_min, rep_lin_max, alpha=0.5, \n", " label='\\\"Remembrance of Earth\\'s Past\\\" parameters')\n", "ax0.fill_between(t/60, wt_lin_min, wt_lin_max, color='#fdae61', alpha=0.5, label='\\\"Wolf Totem\\\" parameters')\n", "\n", "ax1.fill_between(t/60, rep_ed_min, rep_ed_max, alpha=0.5, \n", " label='\\\"Remembrance of Earth\\'s Past\\\" parameters')\n", "ax1.fill_between(t/60, wt_ed_min, wt_ed_max, color='#fdae61', alpha=0.5, label='\\\"Wolf Totem\\\" parameters')\n", "\n", "ax0.set_xlim(0,3000)\n", "ax1.set_xlim(0,3000)\n", "\n", "ax0.set_ylim(80,260)\n", "ax1.set_ylim(80,260)\n", "\n", "ax0.axhline(y=255, linestyle='--', linewidth=3, color='k', label='native reading rate')\n", "ax0.axhline(y=200, linestyle='--', linewidth=3, color='#4dac26', label='target reading rate')\n", "\n", "ax1.axhline(y=255, linestyle='--', linewidth=3, color='k', label='native reading rate')\n", "ax1.axhline(y=200, linestyle='--', linewidth=3, color='#4dac26', label='target reading rate')\n", "\n", "ax0.legend(loc='lower right', fontsize=12)\n", "ax1.legend(loc='lower right', fontsize=12)\n", "\n", "ax0.set_title('Linear Model Extrapolation', fontsize=14)\n", "ax1.set_title('Exponential Decay Model Extrapolation', fontsize=14)\n", "ax1.set_xlabel('Cumulative Reading Time [hr]', fontsize=14)\n", "ax0.set_ylabel('Mean Reading Rate [CPM]', fontsize=14)\n", "ax1.set_ylabel('Mean Reading Rate [CPM]', fontsize=14)\n", "\n", "ax0.grid(which='both')\n", "ax1.grid()\n", "\n", "plt.setp((ax0,ax1), xticks=np.arange(0,3001,250))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plots above show linear and exponential decay model extrapolations made assuming a current mean reading rate of 80 CPM and the ranges of $m$ and $k$ parameter values enclosed in each 95 percent confidence region.\n", "\n", "With regards to how long it will take to reach a mean reading rate of 200 CPM, the models make a wide range of predictions.\n", "\n", "### 4.4.1 Linear Model Predictions to Reach 200 CPM Mean Reading Rate\n", "* *Remembrance of Earth's Past* data: 421 to 693 hours.\n", "* *Wolf Totem* data: 597 to 1705 hours.\n", "\n", "### 4.4.2 Exponential Decay Model Predictions to Reach 200 CPM Mean Reading Rate\n", "* *Remembrance of Earth's Past* data: 704 to 1155 hours.\n", "* *Wolf Totem* data: 1048 to 2991 hours.\n", "\n", "# 5. Conclusions\n", "\n", "## 5.1 Project Objectives\n", ">How much can I confidently say my reading rate has improved after this practice?\n", "\n", "The varying difficulty level of each reading material source precludes any simple conclusions about absolute mean reading rate increases in CPM. However, if it is assumed that relative mean reading rate increases induced by reading material from one source yields an identical relative mean reading rate increase for material from a different source, then the relative mean reading rate increases for books read in sequence can be multiplied together to yield a total relative mean reading rate increase.\n", "\n", "The linear and exponential decay models yielded similar estimates of relative mean reading rate increase for the *Remembrance of Earth's Past* and *Wolf Totem* data. As previously discussed, the 95 percent confidence regions for the model parameters resulted in a confidence interval of possible relative increases. A 95 percent confidence interval for the total relative mean reading rate increase brought about by reading these two books is (1.37)×(1.11) = 1.52 to (1.67)×(1.33) = 2.22, or 52 to 122 percent.\n", "\n", ">What model of reading rate as a function of total time spent reading appears to fit my reading data best?\n", "\n", "Enough downward curvature is observable in the *Remembrance of Earth's Past* and *Wolf Totem* data to yield a plausible range of $k$ parameter values in the 95 percent confidence region plots. However, not enough downward curvature is observable to reject the linear model. I therefore do not have a conclusive answer to this question yet, and I will only be able to make any conclusions with more data.\n", "\n", ">Assuming that the previously determined best-fit model is correct, when can I expect to reach a reading rate comparable to that of a native speaker?\n", "\n", "With the objective of reaching a mean reading rate of approximately 200 CPM within a reasonable time frame, but without a conclusive answer to the previous question, it would be most prudent to select the exponential decay model because it yields more conservative predictions. Assuming that *Remembrance of Earth's Past* represents material on the easier range of things I would like to read and that *Wolf Totem* represents material on the more difficult range, a target of 1000 further hours of reading on top of the 270 I have already accrued is a goal I can accomplish in the next few years.\n", "\n", "## 5.2 Other Conclusions\n", "\n", "### 5.2.1 The Need for Large Volumes of Reading Material and High Temporal Resolution\n", "\n", "If someone reading this desires to perform a similar analysis and make similar predictions regarding their second-language reading rate, then reading through this project report has hopefully convinced them that the best course of action is to select long books (or other sources with a high volume of material at the same approximate reading level—e.g., daily news essays) and then collect reading performance data on a daily basis. At the onset of this project I purposefully selected long books that took me more than a year to plod through, and even then the high variability of my measured reading rates resulted in a wide range of possible model parameter values and predictions.\n", "\n", "### 5.2.2 Opportunities for Further Study\n", "\n", "As discussed in the literature review section, I was unable to find any second-language learning studies that match what I have presented here in terms of the temporal resolution of data collected. Whether or not my conclusions can be generalized to all learners of Mandarin Chinese or other languages is an open question. The proliferation of smartphone technology makes such granular collection of reading performance data possible on a large-scale.\n", "\n", "# 6. Bibliography\n", "\n", "* Beglar, David, and Alan Hunt. 2014. “Pleasure Reading and Reading Rate Gains.” Reading in a Foreign Language 26 (1): 29–48. https://eric.ed.gov/?id=EJ1031315.\n", "* Draper, Norman Richard, and Laurence H. Smith. 1998. Applied Regression Analysis. Wiley.\n", "* Murphy, Kevin P. 2012. Machine Learning: A Probabilistic Perspective. First. Cambridge, MA: The MIT Press.\n", "* Trauzettel-Klosinski, Susanne, and Klaus Dietz. 2012. “Standardized Assessment of Reading Performance: The New International Reading Speed Texts IReST.” Investigative Ophthalmology & Visual Science 53 (9): 5452–61. https://doi.org/10.1167/iovs.11-8284." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }