Introductory Statistics : Basic Ideas and Instruments for Statistical Inference

Overview

Statistical Inference is the process by which data is used to draw a conclusionoruncover ascientific truthabout a population from asample. This course aims to familiarize the student with several ideas and instruments for statistical inference. It covers fundamental concepts and properties of probability.

Specifically, youwill learn to work with sequences of successes and failures using the binomial formula. You will also learn how the law of averages can be used, as well as how to understand stochastic processes by applying box models. The normal approximation for probability histogram, which is an essential idea for statistical inference, will be discussed in depth in this course.

Syllabus

[Week 1]

  • Probability
  • Examples of Probability Calculation

[Week 2]

  • The Binomial Formula
  • The Law of Averages
  • The Expected Value and Standard Error

[Week 3]

  • The Normal Approximation for Probability Histograms

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