## Applications of Bayesian methods to the prediction of educational performance |

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118 LSQ BAY 22 colleges AE ZOL COR American College Testing American Junior analysis average mean squared Basic Research Service Bayesian estimates Bayesian method Bayesian regression weights Bayesian weights classical test theory College Testing Program Combining Sexes 1968 computed covariance cross-validation Educational Testing Service Estimated true score expected value independent junior colleges Kelley least squares estimates least squares regression least squares weights Lindley equations Lindley's linear males and females matrix mean squared error microfilm minimum sample MSE AE ZOL multiple correlations N. S. Cole negative regression weights Novick observed score obtained parameter predicted GPA predicted grades prior distribution prior information quarter sample random sample ranged from 26 reduction in mean regression coefficients regression equation reliability Residual Variances result Sample Combining Sexes second sample separately for males similar smaller sample Squares and Bayesian squares regression weights Table th college Thayer weighted average weights for College year's students zero