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BigCodeBench / BigCodeBench v0.1.0_hf 32f41bd0-dd53-5519-a6fd-b7b20480d825
Problem
Answer published by the source. Consult the official source to check your work against its answer.
complete prompt
import numpy as np
from scipy.stats import ttest_ind
import matplotlib.pyplot as plt
def task_func(kwargs):
"""
Performs a two-sample t-test on numerical data from two groups to determine if there is a significant
difference in their means. The function handles NaN values, computes descriptive statistics for each group,
and generates a boxplot and histograms for data visualization.
Parameters:
- kwargs (dict): A dictionary with two keys, 'group1' and 'group2'. Each key maps to a list of numbers.
Lists can contain NaN values, which will be excluded from analysis.
Returns:
- dict: A dictionary containing:
- 'significant': Boolean. True if the means of the two groups are significantly different (p < 0.05).
- 'group1_stats': Dictionary with mean and standard deviation of 'group1' (excluding NaNs).
- 'group2_stats': Dictionary with mean and standard deviation of 'group2' (excluding NaNs).
- 'ax_boxplot': A matplotlib Axes object with a boxplot comparing 'group1' and 'group2'.
- 'ax_histogram': A matplotlib Axes object with histograms of 'group1' and 'group2'.
Raises:
- ValueError: If either group is empty, contains only NaN values, has less than two non-NaN values,
or if the variance in one or both groups is below a threshold (1e-8).
Requirements:
- numpy
- scipy
- matplotlib
Note:
- The function sets the significance level (alpha) at 0.05.
- It removes NaN values before performing any calculations or plotting.
- A t-test is performed with the 'nan_policy' set to 'omit' to ignore NaNs.
- The function checks for sufficient non-NaN data points and adequate variance in each group before conducting the t-test.
- The boxplot and histograms provide a visual comparison of the data distributions.
Example:
>>> data = {'group1': [1, 2, 3, 4], 'group2': [5, 6, 7, 8]}
>>> results = task_func(data)
>>> results['significant']
True
"""
instruct prompt
Performs a two-sample t-test on numerical data from two groups to determine if there is a significant difference in their means. The function handles NaN values, computes descriptive statistics for each group, and generates a boxplot and histograms for data visualization.
Note that: The function sets the significance level (alpha) at 0.05. It removes NaN values before performing any calculations or plotting. A t-test is performed with the 'nan_policy' set to 'omit' to ignore NaNs. The function checks for sufficient non-NaN data points and adequate variance in each group before conducting the t-test. The boxplot and histograms provide a visual comparison of the data distributions.
The function should raise the exception for: ValueError: If either group is empty, contains only NaN values, has less than two non-NaN values, or if the variance in one or both groups is below a threshold (1e-8).
The function should output with:
dict: A dictionary containing:
'significant': Boolean. True if the means of the two groups are significantly different (p < 0.05).
'group1_stats': Dictionary with mean and standard deviation of 'group1' (excluding NaNs).
'group2_stats': Dictionary with mean and standard deviation of 'group2' (excluding NaNs).
'ax_boxplot': A matplotlib Axes object with a boxplot comparing 'group1' and 'group2'.
'ax_histogram': A matplotlib Axes object with histograms of 'group1' and 'group2'.
You should write self-contained code starting with:
Code
import numpy as np
from scipy.stats import ttest_ind
import matplotlib.pyplot as plt
def task_func(kwargs):
code prompt
Code
import numpy as np
from scipy.stats import ttest_ind
import matplotlib.pyplot as plt
def task_func(kwargs):
entry point
task_func
libs
- numpy
- matplotlib
- scipy
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initial import