Lecture

Descriptive and Inferential Stats

SciPy's scipy.stats module provides tools for both descriptive and inferential statistics, giving you a complete toolkit for analyzing and drawing conclusions from data.


Descriptive Statistics

Descriptive statistics summarize and describe the key features of your dataset.

Some useful functions in scipy.stats include:

  • Mean, Median, Mode: Measures of central tendency.
  • Variance and Standard Deviation: Describe how spread out the data is.
  • Skewness and Kurtosis: Show the shape of the distribution.
  • Percentiles and Quartiles: Indicate where values fall within the dataset.
Descriptive Statistics Example
from scipy import stats data = [2, 4, 6, 8, 10] mean_value = stats.tmean(data) variance = stats.tvar(data) std_dev = stats.tstd(data) print("Mean:", mean_value) print("Variance:", variance) print("Standard Deviation:", std_dev)

Inferential Statistics

Inferential statistics allow you to make predictions or test hypotheses about a population based on a sample.

Common tools in SciPy include:

  • T-tests: Compare means between two groups.
  • Chi-Square Tests: Examine relationships between categorical variables.
  • ANOVA: Compare means across multiple groups.
  • Correlation Tests: Measure relationships between variables.
Inferential Statistics Example
group1 = [1, 2, 3, 4, 5] group2 = [2, 3, 4, 5, 6] t_stat, p_val = stats.ttest_ind(group1, group2) print("t-statistic:", t_stat) print("p-value:", p_val)

Key Insight

  • Descriptive statistics help you understand your dataset.
  • Inferential statistics help you draw conclusions and make decisions based on your data.

Together, they form the foundation of effective data analysis.

Quiz
0 / 1

What is the primary purpose of inferential statistics?

To summarize and describe data.

To measure central tendency.

To make predictions or test hypotheses about a population from a sample.

To calculate percentiles and quartiles.

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