Correlation Coefficient between Two types of Children in a FamilyJournal: International Journal of Science and Research (IJSR) (Vol.3, No. 9)
Publication Date: 2014-09-05
Authors : Talawar A. S.; Sarvade R. M.;
Page : 645-649
Keywords : probability model; truncated model; family size; correlation co-efficient; Chi-square test;
Results show that both the modified negative binomial and negative binomial distribution give good fit. Comparing with Chi-square values, the family size fits better with a modified negative binomial distribution than with a negative binomial distribution. The observed correlation co-efficient between the two types of children is 0.2403 and the estimated correlation co-efficient between boys and girls, in case of negative binomial distribution is 0.216, when pq and 0.2164, when p=q=1/2 and in case of modified negative binomial distribution is 0.2244, when pq and 0.2249, when p=q=1/2.
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