English or languish - Probing the ramifications
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Useful Statistics

statistical modelling
 This statistic is utilized to test for the statistical significance of clustered patterns for a large number of clustering routines. more... statistical modelling
 Properties A special case of the gamma distribution The distribution for the sum of squares of independent standard normal random variables. Requires the use of a statistical table. Useful theorems The sum of two statistically independent random variables with chi-square distributions is another randomvariable with a chi-squre distribution whose number of degrees of freedom is equal to the sum of the degrees of freedom of both variables. Useful applications Useful in the construction of confidence intervals for the sample variances of normally distributed independnet random variables. Adjusting for the presence of patterns brought about by random chance. cluster analysis (proximity measures) statistical modelling
 Properties The ratio of two independent random variables with chi-square distribution, whose degrees of freedom m (numerator) and n denominator) are those of the two independent random variables. Requires the use of a statistical table. Useful theorems statistical modelling
 Properties The ratio of an independent standard normal variable and the square root of another independent random variable with chi-square distribution that has been divided by its number of degrees of freedom. The degrees of freedom of the Student - t are the same as those of the random variable with chi-square distribution. Unlike the chi-square distribution the Student -t statistic is distributed symmetrically. The Student - t distribution is very similar to that of a normal distribution, but is flatter with greater probability associated in both tails. Requires the use of a statistical table. Useful theorems Given n independent normally distributed random variables, the t-statistics is the ratio of the difference of the sample and population means divided by the square root of the sample variance divided by the number of variables. Useful applications Used in the construction of confidence intervals for normally distributed independent random variables. Used in testing the null-hypothesis for single coefficiencts of a regression equation. Used in measuring the ability of a discriminant function to predict accurately group membership from a sample population. top