Mathematical Statistics (2024): Lecture 18

More Confidence Intervals and an Introduction to Hypothesis Testing

In this video:
🔹 Using Sample Variances for a Confidence Interval for a Difference of Means (Large Samples) 0:30
🔹 Using Sample Variances for a Confidence Interval for a Difference of Means (At Least One Small Sample) 12:34
🔹 Equal Variances and Pooled Variance 14:45
🔹 Non-Equal Variances and Welch's Approximation (The Behrens-Fisher Problem) 33:12
🔹 Introduction to Hypothesis Testing 36:50
🔹 Null and Alternative Hypotheses 44:03
🔹 Simple Versus Composite Hypotheses 51:40
🔹 Type I and II Errors 55:54

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[adityanikam]

Thank you so much for such great videos! It would have been amazing if the titles of videos were named after the topics for easier search! Regards

[CyrusTabatabai-Yazdi]

thank you for the great videos. are there still more in the series upcoming?

[jayfarrell]

I had Less Confidence in my intervals, but now I have more Confidence!

[AbhijitGuptamjj]

A big thank you professor for meticulously explaining each step. It’s definitely one of the best series on mathematical statistics.