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Original Articles

Sample Size Calculation for Estimating or Testing a Nonzero Squared Multiple Correlation Coefficient

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Pages 382-410 | Published online: 10 Sep 2008

REFERENCES

  • Algina , J. and Olejnik , S. 2003 . Sample size tables for correlation analysis with applications in partial correlation and multiple regression analysis . Multivariate Behavioral Research , 38 : 309 – 323 .
  • Anderson , T. W. 1984 . An introduction to multivariate statistical analysis , New York : Wiley .
  • Benton , D. and Krishnamoorthy , K. 2003 . Computing discrete mixtures of continuous distributions: Noncentral chi-square, noncentral t and the distribution of the square of the sample multiple correlation coefficient . Computational Statistics and Data Analysis , 43 : 249 – 267 .
  • Casella , G. and Berger , R. L. 2002 . Statistical inference , Pacific Grove , CA : Duxbury .
  • Cohen , J. 1988 . Statistical power analysis for the behavioral sciences , Hillsdale , NJ : Erlebaum .
  • Ding , C. G. and Bargmann , R. E. 1991 . Evaluation of the distribution of the square of the sample multiple-correlation coefficient . Applied Statistics , 40 : 195 – 236 .
  • Ezekiel , M. and Fox , K. A. 1959 . Methods of correlation and regression analysis , New York : Wiley .
  • Fisher , R. A. 1928 . The general sampling distribution of the multiple correlation coefficient . Proceedings of the Royal Society of London A , 121 : 654 – 673 .
  • Gurland , J. 1968 . A relatively simple form of the distribution of the multiple correlation coefficient . Journal of the Royal Statistical Society. Series B , 30 : 276 – 283 .
  • Helland , I. S. 1987 . On the interpretation and use of R 2 in regression analysis . Biometrics , 43 : 61 – 69 .
  • Johnson , R. A. and Wichern , D. W. 2002 . Applied multivariate statistical analysis , Upper Saddle River , NJ : Prentice Hall .
  • Kramer , K. H. 1963 . Tables for constructing confidence limits on the multiple correlation coefficient . Journal of the American Statistical Association , 58 : 1082 – 1085 .
  • Krishnamoorthy , K. 2006 . Handbook of statistical distributions with applications , New York : Chapman & Hall/CRC .
  • Lee , Y. S. 1972 . Tables of upper percentage points of the multiple correlation coefficient . Biometrika , 59 : 175 – 189 .
  • Maxwell , S. E. 2004 . The persistence of underpowered studies in psychological research: Causes, consequences, and remedies . Psychological Methods , 9 : 147 – 163 .
  • Mendoza , J. L. and Stafford , K. L. 2001 . Confidence intervals, power calculation, and sample size estimation for the squared multiple correlation coefficient under the fixed and random regression models: A computer program and standard tables . Educational and Psychological Measurement , 61 : 650 – 667 .
  • Muirhead , R. J. 1982 . aspects of multivariate statistical theory , New York : Wiley .
  • Rencher , A. C. 1998 . Multivariate statistical inference and applications , New York : Wiley .
  • Smithson , M. 2001 . Correct confidence intervals for various regression effect sizes and parameters: The importance of noncentral distribution in computing intervals: Confidence interval for effect sizes . Education and Psychology Measurement , 61 : 605 – 632 .
  • Srivastava , M. S. 2002 . Methods of multivariate statistics , New York : Wiley .
  • Steiger , J. H. and Fouladi , R. T. 1992 . R2: A computer program for interval estimation, power calculation, and hypothesis testing for the squared multiple correlation . Behavior Research Methods, Instruments, and Computers , 4 : 581 – 582 .
  • Timm , N. H. 1975 . Multivariate analysis with applications in education and psychology , Belmont , CA : Wadsworth .

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