diff --git a/ME3263_Lab-01.ipynb b/ME3263_Lab-01.ipynb index 711669b..02345bc 100644 --- a/ME3263_Lab-01.ipynb +++ b/ME3263_Lab-01.ipynb @@ -10,11 +10,20 @@ "from scipy.stats import norm, t\n", "\n", "import matplotlib.pyplot as plt\n", - "#import pretty_plots # script to set up LaTex and increase line-width and font size\n", "\n", "import check_lab01 as p" ] }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "plt.rcParams.update({'font.size': 18})\n", + "plt.rcParams['lines.linewidth'] = 3\n" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -94,7 +103,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -122,7 +131,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -150,22 +159,22 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 4, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -197,29 +206,29 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Nice work\n" + "Whoops, try again\n" ] }, { "data": { "text/plain": [ - "2" + "0" ] }, - "execution_count": 5, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "Answer = 'no' # replace 1 with 'yes' or 0 'no'\n", + "Answer = 'maybe' # replace 1 with 'yes' or 0 'no'\n", "p.check_p01(Answer)" ] }, @@ -241,7 +250,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -268,23 +277,23 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Nice work\n" + "Whoops, try again\n" ] }, { "data": { "text/plain": [ - "2" + "0" ] }, - "execution_count": 7, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -293,7 +302,7 @@ "# Leave this alone, execute to check the answer\n", "degrees_of_freedom = len(A)+len(B)-2\n", "tvar=t.interval(0.95,degrees_of_freedom)[1]\n", - "Answer ='yes' # = 'yes' or 'no'\n", + "Answer = 'maybe' # = 'yes' or 'no'\n", "p.check_p02(tstat,Answer)" ] }, @@ -303,32 +312,87 @@ "source": [ "### Lab 01 Procedure - Measuring gravitational acceleration, g, with smartphones \n", "\n", - "Smartphone accelerometers use [**Micro Electronics Mechanical Systems (MEMS)**](https://www.youtube.com/watch?v=T_iXLNkkjFo&list=LLaKRw5uXV1fO_c_jxFua8MA&index=2&t=184s) to measure the acceleration of the phone. In the current experiment, you will use smartphone to measure acceleration due to gravity. Real-time recording of data gives you multiple measurements of g which are different from exact values of 9.8 m/s$^{2}$. The difference can be attributed to random uncertainties introduced by factors such as flatness of the surface while taking measurements and data acquisition frequencies of the phone. In this lab exercise you will collect data for two different smartphones (preferably from different manufacturers) and perform simple statistical analysis to compare performance of two phones.\n", + "Smartphone accelerometers use [**Micro Electronics Mechanical Systems (MEMS)**](https://www.youtube.com/watch?v=T_iXLNkkjFo&list=LLaKRw5uXV1fO_c_jxFua8MA&index=2&t=184s) to measure the acceleration of the phone. In the current experiment, you will use smartphone to measure acceleration due to gravity. Real-time recording of data gives you multiple measurements of g which are different from exact values of 9.8 m/s$^{2}$. The difference can be attributed to _systematic_ and _random_ uncertainties. These uncertainties are introduced by factors such as flatness of the surface, environmental vibrations, and other factors. In this lab exercise, you will collect data for two different smartphones (preferably from different manufacturers) and perform statistical analysis to compare performance of two phones.\n", "\n", "- [Download the phyphox app from appstore : Android/ Appple](https://phyphox.org/download/)\n", "\n", "- Scan the QR code for Sensor Statistics experiment\n", - "\"Drawing\"\n", - "- Run the timed experimet and export data for Phone 1, say Sample A\n", - "- Run the timed experimet and export data for Phone 2, say Sample B\n", - "\n", - "\"Drawing\"\n", + "\"Drawing\"\n", + "- Run the timed experiment and export data for Phone 1, say Sample A\n", + "- Run the timed experiment and export data for Phone 2, say Sample B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"Drawing\"\n", "
Figure 1: Measurements of g from phone 1, (Sample A)
\n", - "\"Drawing\"\n", + "\"Drawing\"\n", "
Figure 2: Measurements of g from phone 2, (Sample B)
\n", "\n", - "1. Assume accurate value of g at the surface of the earth is 9.8 m/s$^{2}$. Which phone yeilds more accurate measurements? Which phone is more precise?\n", + "1. Assume accurate value of [g at the surface of the Earth](https://physics.nist.gov/cgi-bin/cuu/Value?gn|search_for=gravitation) is $g=9.80665~ m/s^{2}$. Which phone yeilds more accurate measurements? Which phone is more precise?\n", "\n", - "2. Choose 30 measurements at random from each set for analysis. Explain if the sample of 30 measurements is statistically equivalnet to complete dataset, for both the cases.\n", + "2. Choose 30 measurements from each data set for analysis. Explain if the sample of 30 measurements is statistically equivalent to the complete dataset, for both cases.\n", "\n", - " You need to perform two indivisual one-sample t-tests [ [**3**](http://sites.utexas.edu/sos/guided/inferential/numeric/claim/one-sample-t) ] for A & B. For example, to compare sample mean to population of set A, t statistics variable\n", + " You need to perform two individual one-sample t-tests [ [**3**](http://sites.utexas.edu/sos/guided/inferential/numeric/claim/one-sample-t) ] for A & B. Assume that the average for all of the measurements is the true mean of the data set. For example, to compare sample mean to population of set A, the t-statistics variable\n", "\n", " $t=\\frac{|M_A-\\mu_A|*\\sqrt{N_A}}{{S_A}}$\n", "\n", - " is a function of the group mean, $M_A$ , group standard deviation, $S_A$ , group population mean $\\mu_A$ and number of samples per $N_A$. \n", + " is a function of the mean of the data set, $M_A$ , group standard deviation, $S_A$ , group population mean $\\mu_A$ and number of samples in the group, $N_A$=30. \n", + "\n", + "3. Perform t-test using equal-sized groups from the two data sets. Are the 2 phones stastistically equivalent measurements of g? _If there are differences are these __systematic__ or __random__?_ What is the resulting error?" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Importing your data to Jupyter\n", + "\n", + "1. While you're in the Lab_01 folder, click the \"Upload\" button in the top right.\n", + "2. Choose your csv file from your cell phone data collection of your accelerometer\n", + "3. Click the blue \"Upload\" button next to the file. \n", + "4. In this folder, there is an example file called `google.csv`\n", + "5. In the next code cell, I load the `google.csv` file into a variable called `data`.\n", + "6. The `google.csv` file has a column for each x-, y-, and z-directions, so I'll load just the z-direction to measure $$g$$\n", + "7. Finally, I create a histogram of the accelerometer values" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "data = pd.read_csv('google.csv')\n", + "zacc = data['Acceleration z (m/s^2)'].values\n", "\n", - " As we have several hundreed measurements in complete dataset, for analsysis we can assume population mean is equivalnet to the mean of complete dataset\n", - "3. Perform t-test using smaller samples from Part 2, to determine if the 2 phones provide stastistically equivalent measurements of g?\n" + "plt.hist(zacc,30)\n", + "plt.ylabel('number of measurements')\n", + "plt.xlabel('acceleration (m/s/s)');" ] }, { @@ -383,9 +447,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.8.3" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } diff --git a/figures/android.png b/figures/android.png new file mode 100644 index 0000000..ec02329 Binary files /dev/null and b/figures/android.png differ diff --git a/figures/iphone.png b/figures/iphone.png new file mode 100644 index 0000000..99219ac Binary files /dev/null and b/figures/iphone.png differ diff --git a/figures/sensor_statistics_QRcode.png b/figures/sensor_statistics_QRcode.png new file mode 100644 index 0000000..bbf26fe Binary files /dev/null and b/figures/sensor_statistics_QRcode.png differ diff --git a/google.csv b/google.csv new file mode 100644 index 0000000..a2ad531 --- /dev/null +++ b/google.csv @@ -0,0 +1,2041 @@ +"Time (s)","Acceleration x (m/s^2)","Acceleration y (m/s^2)","Acceleration z (m/s^2)","Absolute acceleration (m/s^2)" +0.000000000E0,-1.588592529E-1,-1.800842285E-1,9.806793213E0,9.809732907E0 +2.349853000E-3,-1.684112549E-1,-1.515197754E-1,9.802047729E0,9.804665231E0 +4.730224000E-3,-1.540679932E-1,-1.562805176E-1,9.802047729E0,9.804504079E0 +7.110595000E-3,-1.875457764E-1,-1.610412598E-1,9.744964600E0,9.748099443E0 +9.490967000E-3,-1.540679932E-1,-1.848449707E-1,9.768737793E0,9.771701115E0 +1.187133800E-2,-1.588592529E-1,-1.705627441E-1,9.783004761E0,9.785781014E0 +1.425170900E-2,-1.684112549E-1,-2.086334229E-1,9.787780762E0,9.791452522E0 +1.660156200E-2,-2.066650391E-1,-1.991119385E-1,9.787780762E0,9.791986940E0 +1.898193300E-2,-2.066650391E-1,-2.038879395E-1,9.835327148E0,9.839610808E0 +2.136230400E-2,-1.684112549E-1,-2.038879395E-1,9.840087891E0,9.843640705E0 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This means - % that they will get their normal width if they fit onto the page, but - % are scaled down if they would overflow the margins. - \makeatletter - \def\maxwidth{\ifdim\Gin@nat@width>\linewidth\linewidth - \else\Gin@nat@width\fi} - \makeatother - \let\Oldincludegraphics\includegraphics - % Set max figure width to be 80% of text width, for now hardcoded. - \renewcommand{\includegraphics}[1]{\Oldincludegraphics[width=.8\maxwidth]{#1}} - % Ensure that by default, figures have no caption (until we provide a - % proper Figure object with a Caption API and a way to capture that - % in the conversion process - todo). - \usepackage{caption} - \DeclareCaptionLabelFormat{nolabel}{} - \captionsetup{labelformat=nolabel} - - \usepackage{adjustbox} % Used to constrain images to a maximum size - \usepackage{xcolor} % Allow colors to be defined - \usepackage{enumerate} % Needed for markdown enumerations to work - \usepackage{geometry} % Used to adjust the document margins - \usepackage{amsmath} % Equations - \usepackage{amssymb} % Equations - \usepackage{textcomp} % defines textquotesingle - % Hack from http://tex.stackexchange.com/a/47451/13684: - \AtBeginDocument{% - \def\PYZsq{\textquotesingle}% Upright quotes in Pygmentized code - } - \usepackage{upquote} % Upright quotes for verbatim code - \usepackage{eurosym} % defines \euro - \usepackage[mathletters]{ucs} % Extended unicode (utf-8) support - \usepackage[utf8x]{inputenc} % Allow utf-8 characters in the tex document - \usepackage{fancyvrb} % verbatim replacement that allows latex - \usepackage{grffile} % extends the file name processing of package graphics - % to support a larger range - % The hyperref package gives us a pdf with properly built - % internal navigation ('pdf bookmarks' for the table of contents, - % internal cross-reference links, web links for URLs, etc.) - \usepackage{hyperref} - \usepackage{longtable} % longtable support required by pandoc >1.10 - \usepackage{booktabs} % table 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-\makeatother - - - % Exact colors from NB - \definecolor{incolor}{rgb}{0.0, 0.0, 0.5} - \definecolor{outcolor}{rgb}{0.545, 0.0, 0.0} - - - - - % Prevent overflowing lines due to hard-to-break entities - \sloppy - % Setup hyperref package - \hypersetup{ - breaklinks=true, % so long urls are correctly broken across lines - colorlinks=true, - urlcolor=urlcolor, - linkcolor=linkcolor, - citecolor=citecolor, - } - % Slightly bigger margins than the latex defaults - - \geometry{verbose,tmargin=1in,bmargin=1in,lmargin=1in,rmargin=1in} - - - - \begin{document} - - - \maketitle - - - - - \begin{Verbatim}[commandchars=\\\{\}] -{\color{incolor}In [{\color{incolor}10}]:} \PY{k+kn}{import} \PY{n+nn}{numpy} \PY{k}{as} \PY{n+nn}{np} - \PY{k+kn}{from} \PY{n+nn}{scipy}\PY{n+nn}{.}\PY{n+nn}{stats} \PY{k}{import} \PY{n}{norm}\PY{p}{,} \PY{n}{t} - - \PY{k+kn}{import} \PY{n+nn}{matplotlib}\PY{n+nn}{.}\PY{n+nn}{pyplot} \PY{k}{as} \PY{n+nn}{plt} - \PY{k+kn}{import} \PY{n+nn}{pretty\PYZus{}plots} \PY{c+c1}{\PYZsh{} script to set up LaTex and increase line\PYZhy{}width and font size} - - \PY{k+kn}{import} \PY{n+nn}{check\PYZus{}lab01} \PY{k}{as} \PY{n+nn}{p} -\end{Verbatim} - - - \hypertarget{me-3263}{% -\section{ME 3263}\label{me-3263}} - -\hypertarget{lab-1---measurements-of-machining-precision-and-accuracy}{% -\subsection{Lab \#1 - Measurements of machining precision and -accuracy}\label{lab-1---measurements-of-machining-precision-and-accuracy}} - -\hypertarget{how-can-you-measure-something}{% -\subsubsection{How can you measure -something?}\label{how-can-you-measure-something}} - -All measurements have traceable standards. There are seven base units in -SI - meter (length), second (time), Mole (amount of substance), Ampere -(electric current), Kelvin (temperature), Candela (Luminous intensity), -and kilogram (mass) -\href{https://www.nist.gov/pml/weights-and-measures/metric-si/si-units}{\textbf{1}}. -Any measurement you make should have some method to check against a -reference. In this lab, we will use calipers that measure dimensions -i.e.~meter*10\(^{-3}\) (length) \href{./museum-length.pdf}{\textbf{2}}. -Calipers can always be verified to work with gage blocks. - - \hypertarget{sources-of-measurement-variations}{% -\subsubsection{Sources of measurement -variations}\label{sources-of-measurement-variations}} - -No measurement is exact. No surface is compeletely flat. Every -measurement you make has two types of uncertainties, \emph{systematic} -and \emph{random}. \emph{Systematic} uncertainties come from faults in -your assumptions or equipment. Here are some examples for caliper -measurements: - -\begin{itemize} -\item - Your calipers were dropped on the floor and bent, now all of your - measurements will be too long or too short. -\item - The bar stock was not machined with square edges so each measurement - along the sides increases or decreases -\item - You align the calipers with the bar stock, instead of measuring - point-to-point. Now your measurements are only the maximum length from - edge-to-edge -\end{itemize} - -\emph{Random} uncertainties are associated with unpredictable (or -unforeseen at the time) experimental conditions. These can also be due -to simplifications of your model. Here are some examples for caliper -measurements: - -\begin{itemize} -\item - You assume the surface is flat, but it is in fact rough -\item - The temperature in the room changes the dimensions through thermal - expansion -\item - Your calipers are not aligned parallel to the edges of the bar stock -\end{itemize} - -In theory, all uncertainies could be accounted for by factoring in all -physics in a problem e.g.~Temperature-dependence, Coriolis effect, -electrical disturbances in your readings. In practice, the diminishing -return on investment prevents this practice. For something like -measuring bar stock, it is more than sufficient to report the average -and standard deviation with good calipers. - - Next, you will determine the probability that two groups of -samples--e.g.~group A and group B--have the same average length. This -process is called the Student t-test {[}2{]}. The variable, - -\(t=\frac{|M_A-M_B|}{\sqrt{ab}}\) - -\(a=\frac{N_A+N_B}{N_A N_B}\) - -\(b=\frac{(N_A-1)S_A^2+(N_B-1)S_B^2}{N_A+N_B-2}\) - -The t-test is based upon the means \(\mu_1\) and \(\mu_2\), standard -deviations, \(\sigma_1\) and \(\sigma_2\), and number of data points, -\(N_1\) and \(N_2\). The t variable for sets of independent variables -based upon the difference in means between sample sets as such - -\(t=\frac{|\mu_1-\mu_2|}{\sqrt{AB}}\) - -\(A=\frac{N_1+N_2}{N_1 N_2}\) - -\(B=\frac{(N_1-1)\sigma_1^2+(N_2-1)\sigma_2^2}{N_1+N_2-2}\) - -is a function of the two group means, \(M_A\) and \(M_B\), two group -deviations, \(S_A\) and \(S_B\), and number of samples per group, -\(N_1\) and \(N_2\). Calculate \(t\) for groups A and B by filling in -Table 2. - -\textbf{Table 2: Determining t for groups A and B} - -\begin{longtable}[]{@{}lllll@{}} -\toprule -Sample & A Length & \((L-M_A)^2\) & B Length & -\((L-M_A)^2\)\tabularnewline -\midrule -\endhead -1 & & & &\tabularnewline -2 & & & &\tabularnewline -3 & & & &\tabularnewline -4 & & & &\tabularnewline -5 & & & &\tabularnewline -\textbf{sum} & & & &\tabularnewline -\(M\) and \(S^2\) & \(sum/N_A\) & \(sum/(N_A-1)\) & \(sum/N_B\) & -\(sum/(N_B-1)\)\tabularnewline -\bottomrule -\end{longtable} - - \hypertarget{example-calculations-in-python}{% -\subsection{Example calculations in -Python}\label{example-calculations-in-python}} - -Compare two groups of samples: - -\begin{longtable}[]{@{}llllll@{}} -\toprule -group & sample 1 & sample 2 & sample 3 & sample 4 & sample -5\tabularnewline -\midrule -\endhead -A & 104.14 mm & 101.61 mm & 99.06 mm & 102.87 mm & 106.68 -mm\tabularnewline -B & 104.12 mm & 101.63 mm & 97.79 mm & 101.58 mm & 104.17 -mm\tabularnewline -\bottomrule -\end{longtable} - - \begin{Verbatim}[commandchars=\\\{\}] -{\color{incolor}In [{\color{incolor}11}]:} \PY{n}{A}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{array}\PY{p}{(}\PY{p}{[}\PY{l+m+mf}{104.14}\PY{p}{,} \PY{l+m+mf}{101.61} \PY{p}{,} \PY{l+m+mf}{99.06}\PY{p}{,} \PY{l+m+mf}{102.87}\PY{p}{,} \PY{l+m+mf}{106.68}\PY{p}{]}\PY{p}{)} - \PY{n}{B}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{array}\PY{p}{(}\PY{p}{[}\PY{l+m+mf}{104.12}\PY{p}{,} \PY{l+m+mf}{101.63} \PY{p}{,} \PY{l+m+mf}{97.79}\PY{p}{,} \PY{l+m+mf}{101.58} \PY{p}{,} \PY{l+m+mf}{104.17}\PY{p}{]}\PY{p}{)} - \PY{n}{meanA}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{/}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)} - \PY{n}{meanB}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{/}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)} - \PY{n}{s2A}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{p}{(}\PY{n}{A}\PY{o}{\PYZhy{}}\PY{n}{meanA}\PY{p}{)}\PY{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{p}{)}\PY{o}{/}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)} - \PY{n}{s2B}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{p}{(}\PY{n}{B}\PY{o}{\PYZhy{}}\PY{n}{meanB}\PY{p}{)}\PY{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{p}{)}\PY{o}{/}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)} - \PY{n}{a}\PY{o}{=}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{+}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{p}{)}\PY{o}{/}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{*}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{*}\PY{l+m+mf}{1.0}\PY{p}{)} - \PY{n}{b}\PY{o}{=}\PY{p}{(}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)}\PY{o}{*}\PY{n}{s2A}\PY{o}{+}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)}\PY{o}{*}\PY{n}{s2B}\PY{p}{)}\PY{o}{/}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{+}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{2}\PY{p}{)} - \PY{c+c1}{\PYZsh{}tstat=(meanA\PYZhy{}meanB)/np.sqrt(s2A/len(A)+s2B/len(B))} - \PY{n}{tstat}\PY{o}{=}\PY{p}{(}\PY{n}{meanA}\PY{o}{\PYZhy{}}\PY{n}{meanB}\PY{p}{)}\PY{o}{/}\PY{n}{np}\PY{o}{.}\PY{n}{sqrt}\PY{p}{(}\PY{n}{a}\PY{o}{*}\PY{n}{b}\PY{p}{)} - - \PY{n+nb}{print}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{example groups A and B have t=}\PY{l+s+si}{\PYZpc{}1.2f}\PY{l+s+s1}{\PYZsq{}}\PY{o}{\PYZpc{}}\PY{k}{tstat}) -\end{Verbatim} - - - \begin{Verbatim}[commandchars=\\\{\}] -example groups A and B have t=0.59 - - \end{Verbatim} - - \begin{Verbatim}[commandchars=\\\{\}] -{\color{incolor}In [{\color{incolor}12}]:} \PY{n}{df}\PY{o}{=}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{+}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{2} - \PY{c+c1}{\PYZsh{} Print out the table for df degrees of freedom (N1+N2\PYZhy{}2)} - \PY{n+nb}{print}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{df=}\PY{l+s+si}{\PYZpc{}i}\PY{l+s+s1}{\PYZsq{}}\PY{o}{\PYZpc{}}\PY{k}{df} ) - \PY{n+nb}{print}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{| p=0.05 | p=0.025 | p=0.01 | p=0.005 |}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} - \PY{n+nb}{print}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{| \PYZhy{}\PYZhy{}\PYZhy{} | \PYZhy{}\PYZhy{}\PYZhy{} | \PYZhy{}\PYZhy{}\PYZhy{} | \PYZhy{}\PYZhy{}\PYZhy{} |}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} - \PY{n+nb}{print}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{| }\PY{l+s+si}{\PYZpc{}1.2f}\PY{l+s+s2}{ | }\PY{l+s+si}{\PYZpc{}1.2f}\PY{l+s+s2}{ | }\PY{l+s+si}{\PYZpc{}1.2f}\PY{l+s+s2}{ | }\PY{l+s+si}{\PYZpc{}1.2f}\PY{l+s+s2}{ |}\PY{l+s+s2}{\PYZdq{}}\PY{o}{\PYZpc{}}\PY{p}{(}\PY{n}{t}\PY{o}{.}\PY{n}{interval}\PY{p}{(}\PY{l+m+mf}{0.95}\PY{p}{,} \PY{n}{df}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]}\PY{p}{,}\PYZbs{} - \PY{n}{t}\PY{o}{.}\PY{n}{interval}\PY{p}{(}\PY{l+m+mf}{0.975}\PY{p}{,} \PY{n}{df}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]}\PY{p}{,}\PYZbs{} - \PY{n}{t}\PY{o}{.}\PY{n}{interval}\PY{p}{(}\PY{l+m+mf}{0.99}\PY{p}{,} \PY{n}{df}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]}\PY{p}{,}\PYZbs{} - \PY{n}{t}\PY{o}{.}\PY{n}{interval}\PY{p}{(}\PY{l+m+mf}{0.995}\PY{p}{,} \PY{n}{df}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]}\PY{p}{)}\PY{p}{)} -\end{Verbatim} - - - \begin{Verbatim}[commandchars=\\\{\}] -df=8 -| p=0.05 | p=0.025 | p=0.01 | p=0.005 | -| --- | --- | --- | --- | -| 2.31 | 2.75 | 3.36 | 3.83 | - - \end{Verbatim} - - \hypertarget{problem-1}{% -\section{Problem 1}\label{problem-1}} - -Groups A and B have different measurements of the mean length. Is it -statistically significant? - - \begin{Verbatim}[commandchars=\\\{\}] -{\color{incolor}In [{\color{incolor}15}]:} \PY{n}{Answer} \PY{o}{=} \PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{no}\PY{l+s+s1}{\PYZsq{}} \PY{c+c1}{\PYZsh{} replace 1 with \PYZsq{}yes\PYZsq{} or 0 \PYZsq{}no\PYZsq{}} -\end{Verbatim} - - - \begin{Verbatim}[commandchars=\\\{\}] -{\color{incolor}In [{\color{incolor}16}]:} \PY{n}{p}\PY{o}{.}\PY{n}{check\PYZus{}p01}\PY{p}{(}\PY{n}{Answer}\PY{p}{)} -\end{Verbatim} - - - \begin{Verbatim}[commandchars=\\\{\}] -Nice work - - \end{Verbatim} - -\begin{Verbatim}[commandchars=\\\{\}] -{\color{outcolor}Out[{\color{outcolor}16}]:} 2 -\end{Verbatim} - - \begin{Verbatim}[commandchars=\\\{\}] -{\color{incolor}In [{\color{incolor}17}]:} \PY{n}{plt}\PY{o}{.}\PY{n}{hist}\PY{p}{(}\PY{n}{A}\PY{p}{,}\PY{n}{np}\PY{o}{.}\PY{n}{linspace}\PY{p}{(}\PY{l+m+mi}{97}\PY{p}{,}\PY{l+m+mi}{105}\PY{p}{,}\PY{l+m+mi}{5}\PY{p}{)}\PY{p}{,}\PY{n}{histtype}\PY{o}{=}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{step}\PY{l+s+s1}{\PYZsq{}}\PY{p}{,}\PY{n}{label}\PY{o}{=}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{A}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} - \PY{n}{plt}\PY{o}{.}\PY{n}{hist}\PY{p}{(}\PY{n}{B}\PY{p}{,}\PY{n}{np}\PY{o}{.}\PY{n}{linspace}\PY{p}{(}\PY{l+m+mi}{97}\PY{p}{,}\PY{l+m+mi}{105}\PY{p}{,}\PY{l+m+mi}{5}\PY{p}{)}\PY{p}{,}\PY{n}{histtype}\PY{o}{=}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{step}\PY{l+s+s1}{\PYZsq{}}\PY{p}{,}\PY{n}{label}\PY{o}{=}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{B}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} - \PY{n}{plt}\PY{o}{.}\PY{n}{xlabel}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{length (mm)}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} - \PY{n}{plt}\PY{o}{.}\PY{n}{ylabel}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{counts}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} - \PY{n}{plt}\PY{o}{.}\PY{n}{legend}\PY{p}{(}\PY{p}{)} -\end{Verbatim} - - -\begin{Verbatim}[commandchars=\\\{\}] -{\color{outcolor}Out[{\color{outcolor}17}]:} -\end{Verbatim} - - \begin{center} - \adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{output_10_1.png} - \end{center} - { \hspace*{\fill} \\} - - \hypertarget{problem-2}{% -\section{Problem 2}\label{problem-2}} - -Compare two groups of samples: - -\begin{longtable}[]{@{}llllll@{}} -\toprule -group & sample 1 & sample 2 & sample 3 & sample 4 & sample -5\tabularnewline -\midrule -\endhead -A & 103.5 & 99.0 & 104.5 & 110.7 & 98.4\tabularnewline -B & 108.8 & 117.9 & 113.8 & 107.7 & 112.7\tabularnewline -\bottomrule -\end{longtable} - -Calculate the t-statistic and the t-value comparing the average of group -A and group B. Is there a statisitically significant difference between -the two sets of measurements? - - \begin{Verbatim}[commandchars=\\\{\}] -{\color{incolor}In [{\color{incolor}29}]:} \PY{n}{A}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{array}\PY{p}{(}\PY{p}{[}\PY{l+m+mf}{103.5}\PY{p}{,} \PY{l+m+mf}{99.0}\PY{p}{,} \PY{l+m+mf}{104.5}\PY{p}{,} \PY{l+m+mf}{110.7}\PY{p}{,} \PY{l+m+mf}{98.4}\PY{p}{]}\PY{p}{)} - \PY{n}{B}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{array}\PY{p}{(}\PY{p}{[}\PY{l+m+mf}{108.8}\PY{p}{,} \PY{l+m+mf}{117.9}\PY{p}{,} \PY{l+m+mf}{113.8}\PY{p}{,} \PY{l+m+mf}{107.7}\PY{p}{,} \PY{l+m+mf}{112.7}\PY{p}{]}\PY{p}{)} - \PY{n}{meanA}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{/}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)} - \PY{n}{meanB}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{/}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)} - \PY{n}{s2A}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{p}{(}\PY{n}{A}\PY{o}{\PYZhy{}}\PY{n}{meanA}\PY{p}{)}\PY{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{p}{)}\PY{o}{/}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)} - \PY{n}{s2B}\PY{o}{=}\PY{n}{np}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{p}{(}\PY{n}{B}\PY{o}{\PYZhy{}}\PY{n}{meanB}\PY{p}{)}\PY{o}{*}\PY{o}{*}\PY{l+m+mi}{2}\PY{p}{)}\PY{o}{/}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)} - \PY{n}{a}\PY{o}{=}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{+}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{p}{)}\PY{o}{/}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{*}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{*}\PY{l+m+mf}{1.0}\PY{p}{)} - \PY{n}{b}\PY{o}{=}\PY{p}{(}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)}\PY{o}{*}\PY{n}{s2A}\PY{o}{+}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)}\PY{o}{*}\PY{n}{s2B}\PY{p}{)}\PY{o}{/}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{+}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{2}\PY{p}{)} - - \PY{n}{tstat}\PY{o}{=}\PY{p}{(}\PY{n}{meanB}\PY{o}{\PYZhy{}}\PY{n}{meanA}\PY{p}{)}\PY{o}{/}\PY{n}{np}\PY{o}{.}\PY{n}{sqrt}\PY{p}{(}\PY{n}{a}\PY{o}{*}\PY{n}{b}\PY{p}{)} \PY{c+c1}{\PYZsh{} your work here} - \PY{n+nb}{print}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{tstat=}\PY{l+s+si}{\PYZpc{}i}\PY{l+s+s1}{\PYZsq{}}\PY{o}{\PYZpc{}}\PY{k}{tstat} ) -\end{Verbatim} - - - \begin{Verbatim}[commandchars=\\\{\}] -tstat=3 - - \end{Verbatim} - - \begin{Verbatim}[commandchars=\\\{\}] -{\color{incolor}In [{\color{incolor}30}]:} \PY{c+c1}{\PYZsh{} Leave this alone, execute to check the answer} - \PY{n}{degrees\PYZus{}of\PYZus{}freedom} \PY{o}{=} \PY{n+nb}{len}\PY{p}{(}\PY{n}{A}\PY{p}{)}\PY{o}{+}\PY{n+nb}{len}\PY{p}{(}\PY{n}{B}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{2} - \PY{n}{tvar}\PY{o}{=}\PY{n}{t}\PY{o}{.}\PY{n}{interval}\PY{p}{(}\PY{l+m+mf}{0.95}\PY{p}{,}\PY{n}{degrees\PYZus{}of\PYZus{}freedom}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{1}\PY{p}{]} - \PY{n}{Answer} \PY{o}{=}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{yes}\PY{l+s+s1}{\PYZsq{}} \PY{c+c1}{\PYZsh{} = \PYZsq{}yes\PYZsq{} or \PYZsq{}no\PYZsq{}} - \PY{n}{p}\PY{o}{.}\PY{n}{check\PYZus{}p02}\PY{p}{(}\PY{n}{tstat}\PY{p}{,}\PY{n}{Answer}\PY{p}{)} -\end{Verbatim} - - - \begin{Verbatim}[commandchars=\\\{\}] -Nice work - - \end{Verbatim} - -\begin{Verbatim}[commandchars=\\\{\}] -{\color{outcolor}Out[{\color{outcolor}30}]:} 2 -\end{Verbatim} - - \hypertarget{lab-procedure---measuring-tolerances-and-comparing-groups-and-samples}{% -\subsubsection{Lab Procedure - Measuring tolerances and comparing groups -and -samples}\label{lab-procedure---measuring-tolerances-and-comparing-groups-and-samples}} - -You are given four groups, A-D, of 5 samples, 1-5. You will use 4-inch -calipers to measure the lengths of the four groups of samples. Make sure -each lab member takes measurements. Measure the length of each sample -four times, fill in Table 1. - -\textbf{Table 1. Lengths of machined bar stock. Sets A-D, samples 1-5, -length measurements 1-4. Calculate the average and standard deviation -and note the lab member.} - -\begin{longtable}[]{@{}lllllllll@{}} -\toprule -Set & Sample & Length 1 & Length 2 & Length 3 & Length 4 & Average & -Stand. Dev. & User\tabularnewline -\midrule -\endhead -A & 1 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -A & 2 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -A & 3 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -A & 4 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -A & 5 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -B & 1 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -B & 2 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -B & 3 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -B & 4 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -B & 5 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -C & 1 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -C & 2 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -C & 3 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -C & 4 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -C & 5 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -D & 1 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -D & 2 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -D & 3 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -D & 4 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -D & 5 & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_ & \_\_\_\_\_\_ & \_\_\_\_\_\_ -& \_\_\_\_\_\_\tabularnewline -\bottomrule -\end{longtable} - -Sample groups A-D were machined with two different methods, a saw and a -computer numerical control (CNC) mill. There is a roughness associated -with the process and a randomness associated with the mounting and -cutting of the four groups of samples. The roughness affects the -variation of the multiple measurements on one sample i.e.~Length 1, 2, -3, and 4. The mounting and cutting process introduces variations between -A1, A2, etc. - - \hypertarget{your-report}{% -\subsubsection{Your Report}\label{your-report}} - -\textbf{Goal:}~Describe the measurements in sets A, B, C, and D. -Determine which sets are statistically equivalent/different (do they -satisfy the null hypothesis?). Describe the difference in measurement -errors between band saw and CNC sample sets. - -\begin{enumerate} -\def\labelenumi{\arabic{enumi}.} -\item - Introduction -\item - Methods -\item - Results and Discussion -\item - Conclusion -\end{enumerate} - -\hypertarget{references}{% -\subsubsection{References}\label{references}} - -\begin{enumerate} -\def\labelenumi{\arabic{enumi}.} -\item - \url{https://www.nist.gov/pml/weights-and-measures/metric-si/si-units} -\item - \href{./museum-length.pdf}{Layer, H. P. Length---Evolution from - Measurement Standard to a Fundamental Constant} -\item - \href{https://courses.washington.edu/phys431/uncertainty_notes.pdf}{Uncertainty - Notes} -\item - \href{https://www.ruf.rice.edu/~bioslabs/tools/stats/ttest.html}{Student - t-test} -\end{enumerate} - - - % Add a bibliography block to the postdoc - - - - \end{document} diff --git a/output_10_1.png b/output_10_1.png deleted file mode 100644 index 02f7fca..0000000 Binary files a/output_10_1.png and /dev/null differ diff --git a/pretty_plots.py b/pretty_plots.py deleted file mode 100644 index eb78b6f..0000000 --- a/pretty_plots.py +++ /dev/null @@ -1,12 +0,0 @@ -import matplotlib.pyplot as plt -plt.rcParams.update({'font.size': 22}) -plt.rcParams['lines.linewidth'] = 3 -plt.rcParams['text.usetex'] = True -plt.rcParams['text.latex.unicode'] = True -plt.rcParams['text.latex.preamble'] = [ - r'\usepackage{siunitx}', # I need upright \micro symbols, but you need... - r'\sisetup{detect-all}', # ...this to force siunitx to actually use your fonts - r'\usepackage{helvet}', # set the normal font here - r'\usepackage{sansmath}', # load up the sansmath so that math -> helvet - r'\sansmath' # <- tricky! -- gotta actually tell tex to use! -] \ No newline at end of file