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

von J. P. Verma
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J. P. Verma Determining Sample Size and Power in Research Studies - A Manual for Researchers
J. P. Verma - Determining Sample Size and Power in Research Studies - A Manual for Researchers

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Beschreibung

This book addresses sample size and power in the context of research, offering valuable insights for graduate and doctoral students as well as researchers in any discipline where data is generated to investigate research questions. It explains how to enhance the authenticity of research by estimating the sample size and reporting the power of the tests used. Further, it discusses the issue of sample size determination in survey studies as well as in hypothesis testing experiments so that readers can grasp the concept of statistical errors, minimum detectable difference, effect size, one-tail and two-tail tests and the power of the test. The book also highlights the importance of fixing these boundary conditions in enhancing the authenticity of research findings and improving the chances of research papers being accepted by respected journals. 


Further, it explores the significance of sample size by showing the power achieved in selected doctoral studies. Procedure has been discussed to fix power in the hypothesis testing experiment. One should usually have power at least 0.8 in the study because having power less than this will have the issue of practical significance of findings. If the power in any study is less than 0.5 then it would be better to test the hypothesis by tossing a coin instead of organizing the experiment. It also discusses determining sample size and power using the freeware G*Power software, based on twenty-one examples using different analyses, like t-test, parametric and non-parametric correlations, multivariate regression, logistic regression, independent and repeated measures ANOVA, mixed design, MANOVA and chi-square.

Mitwirkende

Autor:
J. P. Verma
Priyam Verma

Weitere Informationen

Anmerkung Illustrationen:
XIII, 127 p. 61 illus., 43 illus. in color.
Inhaltsverzeichnis:

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

Bemerkungen:
Discusses the procedure of computing sample size for a desired power, by fixing effect size and error rate(a) in different statistical tests


Examines the procedure in computing sample size in survey studies for desired accuracy in estimation and in hypothesis testing experiments for a desired effect size


Uses numerous screen shots of G*Power software usage to guide readers in determining sample size and power in their studies without using any mathematical formulation

Medientyp:
Buch gebunden
Verlag:
Springer Singapore
Biografie:
Prof. J P Verma is the founder Vice Chancellor of Sri Sri Aniruddhadeva Sports University of Assam. This is a state university of Assam Government established at Chabua in Dibrugarh. The university is a high-class university dedicated for the sports education and research activities in the north eastern region of India. Prior to this assignment Prof. Verma was Head, Department of Sport Psychology and Dean of Student Welfare at Lakshmibai National Institute of Physical Education, Gwalior. He has more than 38 years of teaching and research experience. He also worked as the Director of the Centre for Advanced Studies for three years. He holds three master’s degrees; in Statistics, Psychology and Computer Application and a Ph.D. in Mathematics. Prof. Verma has published eleven books on research and statistics in the area of management, psychology, exercise science, health, sports and physical education, and 45 research papers/articles, and has developed sports statistics as an academic discipline. He was a visiting fellow at the University of Sydney in 2002 and has held academic visits in universities in Japan, Bulgaria, Qatar, Australia, Poland and Scotland, where he conducted numerous workshops on research methodology, research designs, multivariate analysis and data modeling in the area of management, social sciences, physical education, sports sciences, economics and health sciences.


Priyam Verma is currently pursuing his Ph.D. Economics at the University of Houston, Texas. He completed his M.Phil. in Development Economics and masters in Economics at Indira Gandhi Institute of Development Research (IGIDR), Mumbai. He has worked on monetary policy issues of developing countries, land valuations in rural India and economics of child labor in India. His current interests include econometrics, behavioral economics, experimental economics and macroeconomics.

Sprache:
Englisch
Auflage:
1st ed. 2020
Seitenanzahl:
127

Stammdaten

Produkttyp:
Taschenbuch
Veröffentlichungsdatum:
21. Juli 2020
Verpackungsabmessungen:
0.239 x 0.163 x 0.014 m; 0.454 kg
GTIN:
09789811552038
DUIN:
IP4SFRB3T6A
€ 91,52
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