Experimental planning and application
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Description
Book Introduction
The theoretical foundation of experimental design was established in the 1920s by the British statistician Fisher while conducting research related to agricultural experiments at the Rothamsted Agricultural Experiment Station in England.
At the time, as the complex interaction of various factors such as soil, climate, and crop varieties in the agricultural field was highlighted, an attempt was made to rationally determine which factors significantly influenced the results through experimental design.
Since then, the experimental design method has expanded its application to various fields such as engineering, medicine, and pharmacy, and has become an essential statistical approach for systematically understanding and optimizing complex phenomena.
This textbook begins with the basic concepts of experimental design and covers the application of various experimental designs widely used in practical applications, as well as clinical trial design.
Chapter 1 introduces the theoretical foundations of experimental design.
We provide an overview of the entire experimental design process, examining key concepts such as randomization, repetition, and blocking.
Chapter 2 covers the most basic form of comparison between two populations.
This can be viewed as a simple two-level form of experimental design.
Chapter 3 examines the one-member arrangement method.
Chapter 4 covers the two-way arrangement method.
Chapter 5 describes experimental design to reduce treatment variation by grouping external factors that may affect experimental results into blocks, and Chapter 6 introduces regression analysis and covariance analysis.
Chapter 7 covers factorial arrangements, which are used when the levels of several factors are all the same.
Chapter 8 covers confounding and partial implementation methods to address the problem of exponentially increasing number of experiments required as the number of factors increases.
Chapter 9 covers basic and advanced topics in clinical trials.
Finally, Chapter 10 covers response surface analysis.
At the time, as the complex interaction of various factors such as soil, climate, and crop varieties in the agricultural field was highlighted, an attempt was made to rationally determine which factors significantly influenced the results through experimental design.
Since then, the experimental design method has expanded its application to various fields such as engineering, medicine, and pharmacy, and has become an essential statistical approach for systematically understanding and optimizing complex phenomena.
This textbook begins with the basic concepts of experimental design and covers the application of various experimental designs widely used in practical applications, as well as clinical trial design.
Chapter 1 introduces the theoretical foundations of experimental design.
We provide an overview of the entire experimental design process, examining key concepts such as randomization, repetition, and blocking.
Chapter 2 covers the most basic form of comparison between two populations.
This can be viewed as a simple two-level form of experimental design.
Chapter 3 examines the one-member arrangement method.
Chapter 4 covers the two-way arrangement method.
Chapter 5 describes experimental design to reduce treatment variation by grouping external factors that may affect experimental results into blocks, and Chapter 6 introduces regression analysis and covariance analysis.
Chapter 7 covers factorial arrangements, which are used when the levels of several factors are all the same.
Chapter 8 covers confounding and partial implementation methods to address the problem of exponentially increasing number of experiments required as the number of factors increases.
Chapter 9 covers basic and advanced topics in clinical trials.
Finally, Chapter 10 covers response surface analysis.
index
Chapter 1: Experimental Plan Overview
1.1 What is an experimental design?
1.2 Basic principles of experimental design
1.3 Order of experimental plan
1.4 Precautions when using experimental plans
Practice problems
Chapter 2 Comparison of Two Populations
2.1 Definition of basic terms
2.2 Inference about the difference between two population means using independent samples
2.3 Paired comparison
2.4 Inference about two population variances in two populations
Practice problems
Chapter 3 One-Piece Arrangement Method
3.1 What is the one-way arrangement method?
3.2 Analysis of variance
3.3 Estimation after analysis of variance
3.4 Experiments with unequal number of repetitions
3.5 Random model
Practice problems
Chapter 4 Two-Way Arrangement Method
4.1 Overview of the Two-Way Deployment Method
4.2 Randomization of the experiment
4.3 Fixed model
4.4 Mixed model
4.5 How to find the expected value of the mean square
Practice problems
Chapter 5: Randomized Block Plan and Latin Square Plan
5.1 Randomization block plan
5.2 Latin Square Plan
5.3 Construction of the Latin Square
Practice problems
Chapter 6 Regression Analysis and Covariance Analysis
6.1 Regression analysis and covariance analysis
6.2 Covariance Analysis
Practice problems
Chapter 7 Factorial Allocation Method
7.1 Concept of factorial arrangement method
7.2 Contrast and Orthogonal Decomposition
7.3 22-factor arrangement method
7.4 23-factor arrangement method
7.5 2n factorial arrangement method
7.6 32-factor arrangement method
7.7 Regression Model
Practice problems
Chapter 8 Interference Law and Partial Implementation Law
8.1 Concept of Planning
8.2 Interference method
8.3 2n-p type partial implementation method
Practice problems
Chapter 9 Special Topics in Clinical Trials
9.1 Phases of clinical trials
9.2 Major Test Types in Clinical Trials
9.3 Randomization and Blinding
9.4 Statistical Significance and Clinical Significance
9.5 Calculating power and sample size
Practice problems
Chapter 10 Response Surface Analysis
10.1 What is response surface analysis?
10.2 Maximum slope method
10.3 Practical Experimental Design for Fitting a Second-Order Response Surface Model
10.4 Response Surface Analysis Procedure
Practice problems
1.1 What is an experimental design?
1.2 Basic principles of experimental design
1.3 Order of experimental plan
1.4 Precautions when using experimental plans
Practice problems
Chapter 2 Comparison of Two Populations
2.1 Definition of basic terms
2.2 Inference about the difference between two population means using independent samples
2.3 Paired comparison
2.4 Inference about two population variances in two populations
Practice problems
Chapter 3 One-Piece Arrangement Method
3.1 What is the one-way arrangement method?
3.2 Analysis of variance
3.3 Estimation after analysis of variance
3.4 Experiments with unequal number of repetitions
3.5 Random model
Practice problems
Chapter 4 Two-Way Arrangement Method
4.1 Overview of the Two-Way Deployment Method
4.2 Randomization of the experiment
4.3 Fixed model
4.4 Mixed model
4.5 How to find the expected value of the mean square
Practice problems
Chapter 5: Randomized Block Plan and Latin Square Plan
5.1 Randomization block plan
5.2 Latin Square Plan
5.3 Construction of the Latin Square
Practice problems
Chapter 6 Regression Analysis and Covariance Analysis
6.1 Regression analysis and covariance analysis
6.2 Covariance Analysis
Practice problems
Chapter 7 Factorial Allocation Method
7.1 Concept of factorial arrangement method
7.2 Contrast and Orthogonal Decomposition
7.3 22-factor arrangement method
7.4 23-factor arrangement method
7.5 2n factorial arrangement method
7.6 32-factor arrangement method
7.7 Regression Model
Practice problems
Chapter 8 Interference Law and Partial Implementation Law
8.1 Concept of Planning
8.2 Interference method
8.3 2n-p type partial implementation method
Practice problems
Chapter 9 Special Topics in Clinical Trials
9.1 Phases of clinical trials
9.2 Major Test Types in Clinical Trials
9.3 Randomization and Blinding
9.4 Statistical Significance and Clinical Significance
9.5 Calculating power and sample size
Practice problems
Chapter 10 Response Surface Analysis
10.1 What is response surface analysis?
10.2 Maximum slope method
10.3 Practical Experimental Design for Fitting a Second-Order Response Surface Model
10.4 Response Surface Analysis Procedure
Practice problems
GOODS SPECIFICS
- Date of issue: July 25, 2025
- Page count, weight, size: 364 pages | 176*248*30mm
- ISBN13: 9788920052699
- ISBN10: 8920052697
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