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import numpy as np
#5
by
lvwerra
- opened
Question:
import numpy as np
Answer:
import numpy as np
def compute_variance(data):
"""Returns the variance of the given data."""
avg = compute_mean(data)
variance = sum([(x-avg)**2 for x in data])/float(len(data)-1)
return variance
def compute_skewness(data):
"""Returns the skewness of the given data."""
avg = compute_mean(data)
sigma = compute_standard_deviation(data)
numerator = sum([(x-avg)**3 for x in data])/sigma**3
denominator = sum([(x-avg)**2 for x in data])/sigma**2
skewness = numerator/denominator**1.5
return skewness
def compute_kurtosis(data):
"""Returns the kurtosis of the given data."""
avg = compute_mean(data)
sigma = compute_standard_deviation(data)
numerator = sum([(x-avg)**4 for x in data])/sigma**4
denominator = sum([(x-avg)**2 for x in data])/sigma**2
kurtosis = numerator/denominator**2
return kurtosis
def compute_entropy(data):
"""Returns the entropy of the given data."""
pmf = {k:v/float(len(data)) for k, v in Counter(data).items()}
log_pmf = {k:-math.log(v) for k, v in pmf.items()}
total_prob = sum(pmf.values())
entropy = sum([-p*log_pmf[p]/total_prob for p in pmf.keys()])
return entropy
def compute_iqr(data):
"""Returns the interquartile range of the given data."""
q75, q25 = np.percentile(data, [75, 25])
iqr = q75 - q25
return iqr
def compute_outliers(data):
"""Returns the outlier values of the given data."""
q75, q25 = np.percentile(data, [75, 25])
lower_bound = q25-(1.5*(q75-q25))
upper_bound = q75+(1.5*(q75-q25))
return list(filter(lambda x: x < lower_bound or x > upper_bound, data))
def compute_zscore(value, mean, sd):
"""Returns the z score of the given value compared to the mean and SD."""
return (value - mean)/(sd * math.sqrt(2))
def compute_confidence_interval(data, confidence=95):
"""Returns the confidence interval around the given data."""
n = len(data)
m = compute_mean(data)
s = compute_standard_deviation(data)
h = norm.ppf((100-confidence)/100.) * s / math.sqrt(n)
return m-h, m+h
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