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Hamdan MA. Correlation between the numbers of two types of children when the family size distribution is zero-truncated negative binomial. Biometrics. 1975;31(3):765-9
Hamdan, M. A. (1975). Correlation between the numbers of two types of children when the family size distribution is zero-truncated negative binomial. Biometrics, 31(3), 765-9.
Hamdan, M A. "Correlation between the numbers of two types of children when the family size distribution is zero-truncated negative binomial." Biometrics vol. 31,3 (1975): 765-9.
Hamdan MA. Correlation between the numbers of two types of children when the family size distribution is zero-truncated negative binomial. Biometrics. 1975 Sep;31(3):765-9. PMID: 1174629.
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Biometrics. 1975 Sep;31(3):765-9.

Correlation between the numbers of two types of children when the family size distribution is zero-truncated negative binomial.

Biometrics

M A Hamdan

PMID: 1174629

Abstract

Let family size N be a random variable formed from two types of children B and C (B + C = N). The correlation coefficient between B and C has been recently studied by Rao et al. [1973]. We consider this problem when the frequency of fertile childless families (N = 0) is not available or cannot be estimated. Assuming the distribution of N is zero-truncated negative binomial, a formula for the correlation coefficient is derived. Applying this formula to the data of Reed and Reed [1965] gives a correlation coefficient of 0.27. The corresponding empirical coefficient for non-zero size families calculated directly from the data is 0.24.

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