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Chi-square probability using scipy
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import matplotlib.pyplot as plt | |
import numpy as np | |
from scipy.stats import chi2 | |
# load the data | |
data = np.loadtxt('chisqprob_demo.py', delimiter=',', skiprows=30, max_rows=3200) | |
vmeas = data[:,0] | |
vmodel = data[:,1] | |
sd_volts = 0.06 # voltage measurement uncertainty (estimated) | |
chisq = np.sum(((vmeas - vmodel) / sd_volts ) ** 2) | |
dof = len(vmeas) - 4 | |
# probability of obtaining reduced chi-square > chisq/dof | |
chisqprob = 1 - chi2.cdf(chisq, dof) | |
plt.plot(vmeas, label='$V_{out}$', linestyle='None', marker='o') | |
plt.plot(vmodel, label='$V_{model}$') | |
plt.xlabel('Time ($\mu$sec)') | |
plt.ylabel('Voltage (V)') | |
plt.title('RC LPF Finite Difference Model') | |
plt.annotate('Chi-Square Probability = %f' % chisqprob, | |
xy=(0.45, 0.95), xycoords='axes fraction') | |
plt.legend() | |
plt.show() | |
""" | |
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0.96,1.03 | |
0.96,1.03 | |
1.04,1.02 | |
0.96,1.02 | |
1.04,1.02 | |
0.96,1.01 | |
1.04,1.01 | |
0.88,1.00 | |
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0.96,0.99 | |
0.96,0.99 | |
0.96,0.98 | |
1.04,0.98 | |
1.04,0.97 | |
1.04,0.97 | |
1.04,0.97 | |
0.96,0.96 | |
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0.96,0.95 | |
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0.72,0.88 | |
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-0.48,-0.41 | |
""" |
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