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import math |
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from enum import Enum |
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from scipy.stats import norm |
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class DistributionFamily(Enum): |
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normal = 1 |
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student_t = 2 |
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fisher = 3 |
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chi_square = 4 |
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class MeanSamplingDistribution(object): |
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sample_distribution = None |
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point_estimate = None |
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distribution_family = None |
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df = None |
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def __init__(self, sample_distribution=None, sample_mean=None, sample_sd=None, sample_size=None): |
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if sample_mean is not None: |
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self.point_estimate = sample_mean |
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if sample_sd is not None: |
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self.sample_sd = sample_sd |
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if sample_size is not None: |
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self.sample_size = sample_size |
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if sample_distribution is not None: |
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self.sample_distribution = sample_distribution |
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self.point_estimate = sample_distribution.mean |
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self.sample_sd = sample_distribution.sd |
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self.sample_size = sample_distribution.sample_size |
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self.standard_error = MeanSamplingDistribution.calculate_standard_error(self.sample_sd, self.sample_size) |
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self.df = self.sample_size - 1.0 |
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if self.sample_size < 30: |
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self.distribution_family = DistributionFamily.student_t |
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else: |
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self.distribution_family = DistributionFamily.normal |
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@staticmethod |
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def calculate_standard_error(sample_sd, sample_size): |
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return sample_sd / math.sqrt(sample_size) |
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def confidence_interval(self, confidence_level): |
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pf = norm.ppf(1 - (1 - confidence_level) / 2) |
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return (-pf, pf) |
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