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Corrected error in the chi-square calculation.

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dwenz 2019-10-31 13:56:21 +01:00
parent c682917c23
commit a4eb95baf4
1 changed files with 17 additions and 18 deletions
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35
Kapitel_1._Einstieg_in_die_Welt_von_Python.ipynb
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@ -2632,7 +2632,6 @@
" # wir in der Regel absolute und keine relativen \n", " # wir in der Regel absolute und keine relativen \n",
" # Unsicherheiten messen.\n", " # Unsicherheiten messen.\n",
" )\n", " )\n",
"\n",
"plt.errorbar(strom, \n", "plt.errorbar(strom, \n",
" spannung,\n", " spannung,\n",
" xerr=strom_error,\n", " xerr=strom_error,\n",
@ -2682,11 +2681,11 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 67, "execution_count": 84,
"metadata": { "metadata": {
"ExecuteTime": { "ExecuteTime": {
"end_time": "2019-10-31T12:32:15.057094Z", "end_time": "2019-10-31T12:54:51.185843Z",
"start_time": "2019-10-31T12:32:15.041472Z" "start_time": "2019-10-31T12:54:51.152000Z"
} }
}, },
"outputs": [ "outputs": [
@ -2694,14 +2693,14 @@
"name": "stdout", "name": "stdout",
"output_type": "stream", "output_type": "stream",
"text": [ "text": [
"Das chi-qudrat ist 506\n" "Das chi-qudrat ist 1.26\n"
] ]
} }
], ],
"source": [ "source": [
"chi_2 = [ (u - Spannung(I, para2[0])/du)**2 for I,u,du in zip(strom, spannung, spannung_error)]\n", "chi_2 = [ (u - Spannung(i, para2[0]))**2/du**2 for i,u,du in zip(strom, spannung, spannung_error)]\n",
"chi_2 = sum(chi_2)\n", "chi_2 = sum(chi_2)\n",
"print(f'Das chi-qudrat ist {chi_2:.0f}')" "print(f'Das chi-qudrat ist {chi_2:.2f}')"
] ]
}, },
{ {
@ -2710,18 +2709,18 @@
"source": [ "source": [
"Wie vergleicht sich dieses $\\chi^2$ nun mit einer Funktion welche unsere Daten schlechter beschreibt. Zum Beispiel sofern wir die Spannung über die Funktion \n", "Wie vergleicht sich dieses $\\chi^2$ nun mit einer Funktion welche unsere Daten schlechter beschreibt. Zum Beispiel sofern wir die Spannung über die Funktion \n",
"\n", "\n",
"$$ U(R,I) = R \\cdot I + C $$\n", "$$ U(R,I) = R \\cdot I^2 $$\n",
"\n", "\n",
"beschreiben würden, also zusätzlich einem konstantem Offset." "beschreiben würden."
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 68, "execution_count": 88,
"metadata": { "metadata": {
"ExecuteTime": { "ExecuteTime": {
"end_time": "2019-10-31T12:32:15.088340Z", "end_time": "2019-10-31T12:55:52.889042Z",
"start_time": "2019-10-31T12:32:15.057094Z" "start_time": "2019-10-31T12:55:52.873421Z"
} }
}, },
"outputs": [ "outputs": [
@ -2729,14 +2728,14 @@
"name": "stdout", "name": "stdout",
"output_type": "stream", "output_type": "stream",
"text": [ "text": [
"Chi-qudrat nach URI: 506\n", "Chi-qudrat nach URI: 1.26\n",
"Chi-qudrat nach URIC: 506\n" "Chi-qudrat nach URI-Parabel: 60.68\n"
] ]
} }
], ],
"source": [ "source": [
"def Spannung2(I, R, C):\n", "def Spannung2(I, R):\n",
" return R * I + C \n", " return R * I**2\n",
"\n", "\n",
"\n", "\n",
"\n", "\n",
@ -2747,9 +2746,9 @@
" absolute_sigma=True \n", " absolute_sigma=True \n",
" )\n", " )\n",
"\n", "\n",
"chi_2_new = [ (u - Spannung2(I, *para3)/du)**2 for I,u,du in zip(strom, spannung, spannung_error)]\n", "chi_2_new = [ (u - Spannung2(I, *para3))**2/du**2 for I,u,du in zip(strom, spannung, spannung_error)]\n",
"chi_2_new = sum(chi_2_new)\n", "chi_2_new = sum(chi_2_new)\n",
"print(f'Chi-qudrat nach URI: {chi_2:.0f}\\nChi-qudrat nach URIC: {chi_2_new:.0f}')" "print(f'Chi-qudrat nach URI: {chi_2:.2f}\\nChi-qudrat nach URI-Parabel: {chi_2_new:.2f}')"
] ]
}, },
{ {