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Published results on the moments of censored and truncated bivariate normal distributions do not include explicit formulas for all combinations of limits in a form that is readily adapted for computation. Moments for truncation and censoring that can take place both from above and below in both variables are given in a general form from which special cases are easily obtained. The attenuation of the correlation coefficients is studied in a series of graphs and related to examples of factor analysis.
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Bengt Muthén (1990) studied this question.
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