Standardized normal distribution

Standardized normal distribution

A normal distribution with a mean of 0 and a standard deviation of 1.

Standardized Normal Distribution

A bell curve with an average value of zero and a standard deviation of one.
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Following Mishra and Desai and McKee et al., the current study employed the approximate transformation provided by Abramowitz and Stegun [36] to transform the cumulative probability distribution into a standardized normal distribution, which are given as follows:
where X is the sample mean, [Z.sub.[alpha]/2] is the value corresponding to an upper-tail probability of [alpha]/2 from the standardized normal distribution, a is the population standard deviation, and n is the sample size.
where [u.sub.[alpha]]--the value of the random variable U with a standardized normal distribution, as designated for a given confidence coefficient 1-[alpha] from an array of a normal distribution, s--sample standard deviation as calculated according to the relation [6-8]
This statistic follows a standardized normal distribution when calculated with true item and subject parameters (Reise, 1990).
The distribution of person-fit statistics on each test was very close to the standardized normal distribution, and both tests accurately assessed the intended student's ability.
The variable Z as expressed in equation 6.5 has a standardized normal distribution,
As with the quality adjustment, cost values are subtracted from 1.5 (the mean of a standardized normal distribution), permitting up to a 50 percent shift in direction.

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