STATISTICS TUTORIALS
Links to Videos Explaining Statistical Procedures

I have created some tutorial videos to explain some important statistical concepts. They are posted on YouTube. Short descriptions of each video, as well as links to the videos, are found below.

CONFIDENCE INTERVALS

INTRODUCTION. If we just have a sample's worth of data, we cannot determine a true population value exactly. However, we can make a reasonable guess — and even figure out how close that guess is likely to be. This range of plausible values is a "confidence interval." This video introduces the basic concept. https://youtu.be/UVXR4HhA1x8

AN EXAMPLE. A basic example, to show the underlying computations. https://youtu.be/CFNTxAnz0cc

TWO MORE EXAMPLES. Two more worked examples. Use these as practice problems. https://youtu.be/7QkPzWIU5rA

ADDITIONAL CONSIDERATIONS. Traditionally we speak of "95% confidence." But it doesn't have to be 95%. What happens if we use some other value? And what happens, if we want "100% confidence"? https://youtu.be/spxvz6VeCQc

HYPOTHESIS TESTING

INTRODUCTION. Teaches the underlying concept behind the hypothesis test (a fundamental statistical tool), using as an example a simple decision regarding whether a tossed coin is indeed a "fair" coin. https://youtu.be/AXAKOAQzQGU

THE SIX STEPS. Building from our conceptual understanding (from the coin toss example), we outline the six basic steps in a hypothesis test. https://youtu.be/4M9maZxwYUg

THE COMPUTATIONS. Covers the basic computations needed in our hypothesis testing example. https://youtu.be/_MOl5QtaMdM

REGRESSION

WHAT IS REGRESSION? A short introduction to the basic concepts underlying linear regression, including the concept of "independent" and "dependent" variables, and how the relationship between them is modeled. https://youtu.be/AhCPICTP0yI

FINDING THE COVARIANCE. How the covariance is computed. It works similarly to computing the variance, and is the fundamental building block in computing the correlation and the regression line. https://youtu.be/iuMGGXllUbg

FINDING THE SLOPE AND INTERCEPT. How to find the slope and intercept of a regression line, and how these numbers are interpreted. https://youtu.be/QoFIsY1FAdk

FINDING THE CORRELATION. How to find the correlation coefficient, and how to interpret this number. https://youtu.be/LxlhGsywI9g

SAMPLING DISTRIBUTIONS

INTRODUCTION TO SAMPLING DISTRIBUTIONS. The "sampling distribution" is the fundamental building block of statistical inference. This YouTube video introduces the basic concepts of the sampling distribution. https://youtu.be/maEXOow3nf8

AN INTRODUCTORY SIMULATION. This video uses a simple simulation (rolling dice!) to illustrate the key ideas behind sampling disributions.https://youtu.be/bEZUV0rA4e4

LAW OF LARGE NUMBERS and CENTRAL LIMIT THEOREM. Two key ideas in sampling distributions. https://youtu.be/L-6yVOKkMKI

APPLICATION TO SAMPLE MEANS. How to assess probabilities associated with a sample average. https://youtu.be/hGYB6mAOODs

APPLICATION TO SAMPLE PROPORTIONS. How to assess probabilities associated with a sample proportion. https://youtu.be/oJMf-aVkq9w

STANDARD DEVIATION

INTRODUCING THE STANDARD DEVIATION. A short introduction to the concept of the standard deviation, and instruction on how it is computed. (You should be able to compute the standard deviation by hand, for a small set of "nice" numbers.) https://youtu.be/CSWCPZcf2OM

FINDING THE STANDARD DEVIATION IN MICROSOFT EXCEL. Real data are sloppy, and we do NOT want to be computing those standard deviations by hand. Use software. This video shows how to use Microsoft Excel to find a standard deviation for real data. https://youtu.be/unmjmBs9IAs