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Determining Sample Size and Power in Research Studies: A Manual for Researchers

Determining Sample Size and Power in Research Studies: A Manual for Researchers (Paperback, 2020)

J. P. Verma, Priyam Verma (지은이)
Springer
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Determining Sample Size and Power in Research Studies: A Manual for Researchers
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책 정보

· 제목 : Determining Sample Size and Power in Research Studies: A Manual for Researchers (Paperback, 2020) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 확률과 통계 > 일반
· ISBN : 9789811552069
· 쪽수 : 127쪽
· 출판일 : 2021-07-22

목차

Preface                                                                                                                                               

Acknowledgements                                                                                                       

 

1   Introduction to Sample Size Determination                                    

     Introduction                

Issue of Power due to inappropriate sample size

Some case studies    

Flow Diagram of Determining sample size and power

Summary                                                     

 

2   Understanding Statistical Inference                                                  

Introduction

Estimating Parameters

Estimating Population Mean

Confidence Coefficient

Confidence Interval 

Factors Affecting Confidence Interval

Estimating Population Proportion

Hypothesis Testing   

Type I and Type II Errors

Power of the Test  

Relationship between Type I and Type II Errors

One Tailed and Two Tailed Tests

Procedure in Hypothesis Testing Experiment

Effect Size

Summary

 

3   Understanding Concepts in Estimating Sample Size in 

      Survey Studies                                                                                                           

Introduction

Determining Sample Size in Estimating Population Mean

Factors Affecting Sample Size              

Sample Size Determination for Estimating Mean when Population SD Known: Illustration 3.1

Sample Size Determination for Estimating Mean when Population SD Unknown: Illustration 3.2          

Sample Size Determination for Estimating Mean when Population SD Unknown: Illustration 3.3     

Sample Size Determination for Estimating Mean when Population SD Unknown: Illustration 3.4      

Determining Sample Size in Estimating Population Proportion

Sample Size Determination for Estimating  Proportion: Illustration 3.5

Sample Size Determination for Estimating Proportion: Illustration 3.6             

Sample Size Determination for Estimating Proportion: Illustration 3.7             

Sample Size Determination for Estimating Proportion: Illustration 3.8             

Determining Sample Size in Estimating Difference Between Two Population Means

Summary

 

4  Understanding Concepts in Estimating Sample Size in Hypothesis Testing Experiment                                      

Introduction

Sample Size on the Basis of Power

One Sample Testing of Mean

Determining Sample Size

Estimation of Minimum Sample Size to Test H0 : μ=37 : Illustration 4.1

Minimum Detectable Difference     

Estimation of Minimum Detectable Difference for Testing H0: μ=37: Illustration 4.2  

Estimation of Power in One Sample t Test

Estimation of Power in Testing H0: μ=37: Illustration 4.3

Testing Difference Between Two Means

Determining Sample Size in Two Sample t Test

Estimation of Sample Size for Two Sample t Test for Mean : Illustration 4.4

Estimation of Power in Two Sample t Test   

Estimation of Power in Two Sample t Test for Mean : Illustration 4.5               

Summary

 

5   Use of G*Power Software                                                      

Introduction                

Procedure of Installing G*Power 3.1

Summary

               

6  Determining Sample Size in Experimental Studies                                  

    Introduction  

    One Sample Testing   

Testing Difference of Sample Mean from Population Mean

Sample Size and Power Determination: Illustration 6.1

Testing Difference of Sample Proportion from Population Proportion             

Sample Size Determination: Illustration 6.2

    Two Sample Testing   

Comparing Group Means in Two Independent Samples

       Sample Size and Power Determination: Illustration 6.3

Comparing Paired Group Means

       Sample Size Determination: Illustration 6.4          

Comparing two Group Means Using Mann Whitney Test      

       Sample Size Determination: Illustration 6.5          

Comparing Paired Group Means Using Wilcoxon Signed Rank Test

       Sample Size Determination: Illustration 6.6

Comparing Two Proportions

       Sample Size Determination: Illustration 6.7

    Correlation Coefficient: Testing Significance    

Case I:  Testing Whether Sample Correlation Differs From 0 

       Sample Size Determination: Illustration 6.14

Case II:  Testing Whether Sample Correlation Differs from a Known Value

       Sample Size Determination: Illustration 6.15

Correlation Coefficients: Testing Significant Difference Between Two Independent Correlations

       Sample Size Determination: Illustration 6.16

Bi-Serial Correlation: Testing Significance

       Sample Size Determination: Illustration 6.17

Goodness of Fit: Testing With Chi-Square

Sample Size Determination in Goodness of Fit: Illustration 6.18

Linear Multiple Regression Model

    Sample Size Determination in Linear Multiple Regression: Illustration 6.19  

Logistic Regression

Sample Size Determination for Continuous Predictors: Illustration 6.20          

Sample Size Determination for a Dichotomous Predictor: Illustration 6.21     

Summary

 

7  Determining Sample Size in General Linear Models                               

    Introduction  

    Analysis of Variance   

One?Way Analysis of Variance

       Sample Size Determination: Illustration 6.8

Two?Way Analysis of Variance

       Sample Size Determination for Main and Interaction Effect: Illustration 6.9            

Repeated Measures ANOVA Between Factors

       Sample Size Determination: Illustration 6.10

Repeated Measures ANOVA Within Factors

       Sample Size Determination: Illustration 6.11

Repeated ANOVA Within-Between Interaction

Manova Experiment: for Testing the Significance of Global Effect

       Sample Size Determination: Illustration 6.12        

Manova Experiment: Testing Significance of Interaction Effect           

       Sample Size Determination: Illustration 6.13

Summary

 

Appendix                                                                                                                                          

Bibliography

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