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6. Introduction to Formal Statistical Inference

Stephen B. Vardeman, J. Marcus Jobe

This chapter is part of: Vardeman S. & Jobe J. 2023. Basic Engineering Data Collection and Analysis

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Description

Formal statistical inference uses probability theory to quantify the reliability of data-based conclusions. This chapter introduces the logic involved in several general types of formal statistical inference. Then the most common specific methods for one- and two-sample statistical studies are discussed. The chapter begins with an introduction to confidence interval estimation, using the important case of large-sample inference for a mean. Then the topic of significance testing is considered, again using the case of large-sample inference for a mean. With the general notions in hand, successive sections treat the standard oneand two-sample confidence interval and significance-testing methods for means, then variances, and then proportions. Finally, the important topics of tolerance and prediction intervals are introduced.
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Publication Details

Published: January 12, 2023

Publisher: Iowa State University Digital Press

Pages: 109

License Information: © 2001 Stephen B. Vardeman and J. Marcus Jobe. Basic Engineering Data Collection and Analysis is available under a Creative Commons Attribution NonCommercial ShareAlike (CC BY-NC-SA) 4.0 International license. You may share and adapt the material, so long as you provide appropriate credit to the original authors, do not use the material for commercial purposes, and any adaptations or remixes of the material which you create are distributed under the same license as the original.

Citation

Vardeman S. & Jobe J. 2023. Introduction to Formal Statistical Inference. In Vardeman S. & Jobe J. 2023. Basic Engineering Data Collection and Analysis