CHARTS FOR CONFIDENCE LIMITS ON THE MULTIPLE CORRELATION COEFFICIENT

AKIRA NUSHI; SUKEYORI SHIBA

doi:10.4992/psycholres1954.15.147

AKIRA NUSHI, SUKEYORI SHIBA

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JOURNAL FREE ACCESS

1973 Volume 15 Issue 3 Pages 147-152

DOI https://doi.org/10.4992/psycholres1954.15.147

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Published: September 10, 1973 Received: November 02, 1973 Available on J-STAGE: February 24, 2009 Accepted: - Advance online publication: - Revised: -
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Date of correction: February 24, 2009 Reason for correction: - Correction: ABSTRACT Details: Wrong : The confidence intervals on the multiple correlation coefficient were computed by using directly Fisher's formula (1928) for several sets of variables including both cases of even and odd numbers for each of the values, N (sample size)=15, 20, 30, 40, 50, 75, 100 and 200. These figures can be used not only to estimate the 90 percent confidence interval but to test hypothesis H₀:ρ=ρ₀, where ρ₀ is not necessarily zero.
Right : The confidence intervals on the multiple correlation coefficient were computed by using directly Fisher's formula (1928) for several sets of variables including both cases of even and odd numbers for each of the values, N (sample size)=15, 20, 30, 40, 50, 75, 100 and 200. These figures can be used not only to estimate the 90 percent confidence interval but to test hypothesis H₀:ρ=ρ₀, where ρ₀ is not necessarily zero.

Date of correction: February 24, 2009 Reason for correction: - Correction: CITATION Details: Wrong : ANDERSON, T. W. 1958 An introduction to multivariate statistical analysis. New York: John Wiley.
EZEKIEL, M., & Fox, K. A. 1963 Methods of correlation and regression analysis. New York: John Wiley.
FISHER, R. A. 1928 The general sampling distribution of the multiple correlation coefficient. Proceedings of Royal Society. A, 121, 654-673.
KRAMER, K. H. 1963 Tables for constructing confidence limits on the multiple correlation coefficient. Journal of the American Statistical Association, 58, 1082-1085.
NABEYA, S. 1948 On the sampling distribution of a multiple correlation coefficient. Research Memorandum of Institute of Statistical Mathematics, Tokyo, 4, 381-385 (in Japanese).
YAMAUCHI, J. (Ed.) 1972 Statistical tables and formulas with computer applications. Japanese Standards Association.

Right : ANDERSON, T. W. 1958 An introduction to multivariate statistical analysis. New York: John Wiley.
EZEKIEL, M., & Fox, K. A. 1963 Methods of correlation and regression analysis. New York: John Wiley.
FISHER, R. A. 1928 The general sampling distribution of the multiple correlation coeficient. Proceedings of Royal Society. A, 121, 654-673.
KRAMER, K. H. 1963 Tables for constructing confidence limits on the multiple correlation coefficient. Journal of the American Statistical Association, 58, 1082-1085.
NABEYA, S. 1948 On the sampling distribution of a multiple correlation coefficient. Research Memorandum of Institute of Statistical Mathematics, Tokyo, 4, 381-385 (in Japanese).
YAMAVC SI, J.(Ed.) 1972 Statistical tables and formulas with computer applications. Japanese Standards Association.

Date of correction: February 24, 2009 Reason for correction: - Correction: PDF FILE Details: -

Date of correction: February 24, 2009 Reason for correction: - Correction: ABSTRACT Details: Wrong : The confidence intervals on the multiple correlation coefficient were computed by using directly Fisher's formula (1928) for several sets of variables including both cases of even and odd numbers for each of the values, N (sample size)=15, 20, 30, 40, 50, 75, 100 and 200. These figures can be used not only to estimate the 90 percent confidence interval but to test hypothesis H₀:ρ=ρ₀, where ρ₀ is not necessarily zero.
Right : The confidence intervals on the multiple correlation coefficient were computed by using directly Fisher's formula (1928) for several sets of variables including both cases of even and odd numbers for each of the valuesN(sample size)=15, 20, 30, 40, 50, 75, 100 and 200. These figures can be used not only to estimate the 90 percent confidence interval but to test hypothesis H₀: ρ=ρ₀, where ρ₀ is not necessarily zero.

Date of correction: February 24, 2009 Reason for correction: - Correction: CITATION Details: Wrong : ANDERSON, T. W. 1958 An introduction to multivariate statistical analysis. New York: John Wiley.
EZEKIEL, M., & Fox, K. A. 1963 Methods of correlation and regression analysis. New York: John Wiley.
FISHER, R. A. 1928 The general sampling distribution of the multiple correlation coeficient. Proceedings of Royal Society. A, 121, 654-673.
KRAMER, K. H. 1963 Tables for constructing confidence limits on the multiple correlation coefficient. Journal of the American Statistical Association, 58, 1082-1085.
NABEYA, S. 1948 On the sampling distribution of a multiple correlation coefficient. Research Memorandum of Institute of Statistical Mathematics, Tokyo, 4, 381-385 (in Japanese).
YAMAVC SI, J.(Ed.) 1972 Statistical tables and formulas with computer applications. Japanese Standards Association.

Right : ANDERSON, T. W. 1958 An introduction to multivariate statistical analysis. New York: John Wiley.
EZEKIEL, M., & Fox, K. A. 1963 Methods of correlation and regression analysis. New York: John Wiley.
FISHER, R. A. 1928 The general sampling distribution of the multiple correlation coefficient. Proceedings of Royal Society. A, 121, 654-673.
KRAMER, K. H. 1963 Tables for constructing confidence limits on the multiple correlation coefficient. Journal of the American Statistical Association, 58, 1082-1085.
NABEYA, S. 1948 On the sampling distribution of a multiple correlation coefficient. Research Memorandum of Institute of Statistical Mathematics, Tokyo, 4, 381-385 (in Japanese).
YAMAUCHI, J.(Ed.) 1972 Statistical tables and formulas with computer applications. Japanese Standards Association.

Abstract

The confidence intervals on the multiple correlation coefficient were computed by using directly Fisher's formula (1928) for several sets of variables including both cases of even and odd numbers for each of the valuesN(sample size)=15, 20, 30, 40, 50, 75, 100 and 200. These figures can be used not only to estimate the 90 percent confidence interval but to test hypothesis H₀: ρ=ρ₀, where ρ₀ is not necessarily zero.

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