Design and Analysis of Single-Case Research

By Ronald D. Franklin; David B. Allison et al. | Go to book overview
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APPENDIX: CONSTRUCTING CONFIDENCE INTERVALS FOR ICCS (FROM SHROUT & FLEISS, 1979)

ICC(2,1)

Let

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(3.14)

where Fj = JMS/EMS and p + ̂ = ICC(2,1).

Let

F* = F1-1/2α[(n - 1), v] (3.15)

and

F* = F1-1/2α[v, (n - 1)] (3.16)

where F1-α(i, j) signifies the (1 - α)100th percentile of the F distribution with degrees of freedom i and j.

Then, the lower limit of the (1 - α)100% confidence interval is given by:

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(3.17)

and the upper limit of the (1 - α)100% confidence interval is given by:

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(3.18)

ICC(3,1)

Let F0 = BMS/EMS.

Let FL = F0/F1-1/2α[(n - 1), (n - 1)(k - 1)].

Let FU = F0/F1-1/2α[(n - 1)(k - 1), (n - 1)].

Then the lower limit of the (1 - α)100% confidence interval is given by:

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(3.19)

And the upper limit of the (1 - α)100% confidence interval is given by:

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(3.20)

-90-

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Design and Analysis of Single-Case Research
Table of contents

Table of contents

  • Title Page iii
  • Contents v
  • Preface vii
  • References x
  • Contributors xiii
  • List of Equations xix
  • 1: Introduction 1
  • Introduction 1
  • References 10
  • 2: Historical and Philosophical Foundations of Single-Case Research 13
  • References 39
  • 3: Measurement of Dependent Variables 41
  • References 84
  • APPENDIX: CONSTRUCTING CONFIDENCE INTERVALS FOR ICCS (FROM SHROUT & FLEISS, 1979) 90
  • 4: Treatment Integrity in Single-Subject Research 93
  • 5: Graphical Display and Visual Analysis1 119
  • Introduction 119
  • References 154
  • 6: Statistical Alternatives for Single-Case Designs 159
  • References 208
  • 7: Serial Dependency in Single-Case Time Series 215
  • Introduction 215
  • References 242
  • 8: Meta-Analysis of Single-Case Research 245
  • Introduction 245
  • SUMMARY 273
  • References 273
  • 9: The Potentially Confounding Effects of Cyclicity: Identification, Prevention, and Control 279
  • References 328
  • Appendix 334
  • 10: Power, Sample Size Estimation, and Early Stopping Rules 335
  • Introduction 335
  • SUMMARY 367
  • References 368
  • Author Index 373
  • Subject Index 383
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