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Statistics I

Offered By: Brilliant

Tags

Statistics & Probability Courses Central Limit Theorem Courses Experimental Design Courses

Course Description

Overview

We make many day-to-day decisions without seeing the big picture. Sometimes things turn out in our favor, sometimes not. Scientists, engineers, and other technically-minded people also make judgments using limited information. However, their fields have exacting standards, so a toolkit for making good conclusions from small data samples is invaluable to them.

This course covers the first step in making a sound statistical conclusion: sampling. A representative sample is essential to getting started with statistics, and by the end of this course, you will be able to create a representative sample, reduce bias, and calculate preliminary results.
You'll gain hands-on experience with sampling methods, and be able to spot bias from experimental design to sample selection.

Syllabus

  • Introduction:
    • Sampling & Estimation: Discover how statisticians make sound judgments with limited data.
    • The Central Limit Theorem: Learn about the most important statistical tool of all.
  • Data Sampling: Techniques for gathering quality statistical data
    • Politics & Polling: Explore one of the most familiar uses of statistics.
    • Sampling Methods: Sample some basic methods for collecting good data.
    • The Sample Mean: What is a statistic, anyway?
  • Bias & Variance: Avoid introducing bias into your samples
    • Margin of Error I: Learn how to judge the results of a statistical analysis.
    • Margin of Error II: Estimate error without the population variance.
    • More on Bias: Become adept at spotting bias.
    • Sample Variance: Count degrees of freedom to resolve a common misconception.

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