论文信息 - ON THE DISTRIBUTION OF THE CORRELATION COEFFICIENT IN SMALL SAMPLES

ON THE DISTRIBUTION OF THE CORRELATION COEFFICIENT IN SMALL SAMPLES

IT was the original purpose of this study to attempt to discover the effect upon the distribution in random samples, particularly in small samples, of the productmiioment coefficient of correlation, r, when the samples are drawn from a non-normal instead of a normal population. In Part I the results of sampling from certain populations which differ greatly from the normal are given, also the results of sampling from a normal population having a high degree of correlation. As the sampling was done experimentally, it was necessary to deal with discrete populations. This opened up the question of the effect of grouping upon the distribution of r, a question which is investigated in Part II.

P. R. Rider | Paul R. Rider

[1] H. F. Dunlap,et al. An Empirical Determination of the Distribution of Means, Standard Deviations and Correlation Coefficients Drawn from Rectangular Populations , 1931 .

[2] Mordecai Ezekiel,et al. Methods of Correlation Analysis. , 1931 .

[3] Student. Probable Error of a Correlation Coefficient , 1908 .

[4] E. S. Pearson. SOME NOTES ON SAMPLING TESTS WITH TWO VARIABLES , 1929 .

[5] H. E. Soper. On the Probable Error of the Correlation Coefficient to a Second Approximation , 1913 .

[6] G. A. Baker. The Significance of the Product-Moment Coefficient of Correlation with Special Reference to the Character of the Marginal Distributions , 1930 .