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Introduction to statistics for biomedical engineers

Author: Kristina M Ropella
Publisher: [San Rafael, Calif.] : Morgan & Claypool, ©2007.
Series: Synthesis lectures on biomedical engineering, no. 14.
Edition/Format:   Print book : English
Summary:
There are many books written about statistics, some brief, some detailed, some humorous, some colorful, and some quite dry. Each of these texts is designed for a specific audience. Too often, texts about statistics have been rather theoretical and intimidating for those not practicing statistical analysis on a routine basis. Thus, many engineers and scientists, who need to use statistics much more frequently than  Read more...
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Document Type: Book
All Authors / Contributors: Kristina M Ropella
ISBN: 9781598291964 1598291963 9781598291971 1598291971 9781598294491 1598294490
OCLC Number: 141384403
Language Note: English.
Description: viii, 93 pages : illustrations ; 24 cm.
Contents: 2 Collecting Data and Experimental Design 5 --
3 Data Summary and Descriptive Statistics 9 --
3.1 Why Do We Collect Data? 9 --
3.2 Why Do We Need Statistics? 9 --
3.3 What Questions Do We Hope to Address With Our Statistical Analysis? 10 --
3.4 How Do We Graphically Summarize Data? 11 --
3.4.1 Scatterplots 11 --
3.4.2 Time Series 11 --
3.4.3 Box-and-Whisker Plots 12 --
3.4.4 Histogram 13 --
3.5 General Approach to Statistical Analysis 17 --
3.6 Descriptive Statistics 20 --
3.6.1 Measures of Central Tendency 21 --
3.6.2 Measures of Variability 22 --
4 Assuming a Probability Model From the Sample Data 25 --
4.1 The Standard Normal Distribution 29 --
4.2 The Normal Distribution and Sample Mean 32 --
4.3 Confidence Interval for the Sample Mean 33 --
4.4 The t Distribution 36 --
4.5 Confidence Interval Using t Distribution 38 --
5 Statistical Inference 41 --
5.1 Comparison of Population Means 41 --
5.1.1 The t Test 42 --
5.1.1.1 Hypothesis Testing 42 --
5.1.1.2 Applying the t Test 43 --
5.1.1.3 Unpaired t Test 44 --
5.1.1.4 Paired t Test 49 --
5.1.1.5 Example of a Biomedical Engineering Challenge 50 --
5.2 Comparison of Two Variances 54 --
5.3 Comparison of Three or More Population Means 59 --
5.3.1 One-Factor Experiments 60 --
5.3.1.1 Example of Biomedical Engineering Challenge 60 --
5.3.2 Two-Factor Experiments 69 --
5.3.3 Tukey's Multiple Comparison Procedure 73 --
6 Linear Regression and Correlation Analysis 75 --
7 Power Analysis and Sample Size 81 --
7.1 Power of a Test 82 --
7.2 Power Tests to Determine Sample Size 83 --
8 Just the Beginning 87.
Series Title: Synthesis lectures on biomedical engineering, no. 14.
Responsibility: Kristina M. Ropella.

Abstract:

Provides a bare-bones coverage of the most basic statistical analysis frequently used in biomedical engineering practice. The text introduces students to the essential vocabulary and basic concepts  Read more...

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