Determining sample size and power in research studies : a manual for researchers

著者

    • Verma, J. P.
    • Verma, Priyam

書誌事項

Determining sample size and power in research studies : a manual for researchers

J.P. Verma, Priyam Verma

Springer, 2020

大学図書館所蔵 件 / 全5件

この図書・雑誌をさがす

注記

Description based upon print version of record

Includes bibliographical references

収録内容

  • Intro
  • Foreword
  • Preface
  • Acknowledgements
  • Contents
  • About the Authors
  • 1 Introduction to Sample Size Determination
  • Introduction
  • Issues with Very Small Samples
  • Issues with Very Large Samples
  • Strategy in Sample Selection
  • Common Errors in Conducting Research
  • Flow Diagrams for Deciding Sample Size
  • Summary
  • Bibliography
  • 2 Understanding Statistical Inference
  • Introduction
  • Hypothesis Testing
  • Procedure in Hypothesis Testing Experiment
  • Effect Size
  • Summary
  • Bibliography
  • 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 Is Known
  • Sample Size Determination for Estimating Mean When Population SD Is Unknown
  • Determining Sample Size in Estimating Population Proportion
  • Sample Size Determination for Estimating Proportion
  • Determining Sample Size in Estimating Difference Between Two Population Means
  • Summary
  • Bibliography
  • 4 Understanding Concepts in Estimating Sample Size in Hypothesis Testing Experiments
  • Introduction
  • Importance of Sample Size in Experimental Studies
  • Sample Size on the Basis of Power
  • One-Sample Testing of Mean
  • Determining Sample Size
  • Estimation of Sample Size in One-Sample Test
  • Estimation of Minimum Detectable Difference
  • Estimation of Power in One-Sample t-Test
  • Testing Difference Between Two Means
  • Determining Sample Size in Two-Sample t-Test
  • Estimation of Power in Two-Sample t-Test
  • Summary
  • Bibliography
  • 5 Use of G*Power Software
  • Introduction
  • Procedure of Installing G*Power 3.1
  • Summary
  • Bibliography
  • 6 Determining Sample Size in Experimental Studies
  • Introduction
  • One Sample Tests
  • Two Sample Tests
  • Testing Significance of Relationship
  • Summary
  • Bibliography
  • 7 Determining Sample Size in General Linear Models
  • Introduction
  • Linear Multiple Regression Model
  • Logistic Regression
  • Analysis of Variance
  • Summary
  • Bibliography
  • Appendix

内容説明・目次

内容説明

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.

目次

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 : =37 : Illustration 4.1 Minimum Detectable Difference Estimation of Minimum Detectable Difference for Testing H0: =37: Illustration 4.2 Estimation of Power in One Sample t Test Estimation of Power in Testing H0: =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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