the descriptive statistic that indicates the typical distance of a score from the mean is the standard score.
the descriptive statistic that indicates the typical distance of a score from the mean is the standard score.
the descriptive statistic that indicates the typical distance of a score from the mean is the?
standard score
the descriptive statistic formula_50 is known as the mahalanobis distance, which represents the distance of the test point formula_45 from the mean formula_52. note that in the case when formula_53, the distribution reduces to a univariate normal distribution and the mahalanobis distance reduces to the absolute value of the standard score. see also interval below.









































section::::properties.:density function.:bivariate case.









































in the 2-dimensional nonsingular case (), the probability density function of a vector is:









































where "ρ" is the correlation between "x" and "y" and









































where formula_55 and formula_56. in this case,
multivariate normal distribution
an important property of a test statistic is that its sampling distribution under the null hypothesis must be calculable, either exactly or approximately, which allows "p"-values to be calculated. a "test statistic" shares some of the same qualities of a descriptive statistic, and many statistics can be used as both test statistics and descriptive statistics. however, a test statistic is specifically intended for use in statistical testing, whereas the main quality of a descriptive statistic is that it is easily interpretable. some informative descriptive statistics, such as the sample range, do not make good test statistics since it is difficult to determine their sampling distribution.
test statistic