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In the case of normalization of scores in educational assessment, there may be an intention to align distributions to a normal distribution. A different approach to normalization of probability distributions is quantile normalization, where the quantiles of the different measures are brought into alignment.
A child's performance on each strand corresponds to a Performance Level Rating (Age Appropriate, Emerging or Concern) and a Developmental Age. Developmental Age, determined by calculating the results of the GDO-R, is an age in years and half-years that best describes a child's behavior and performance on a developmental scale.
Every normal distribution is a version of the standard normal distribution, whose domain has been stretched by a factor (the standard deviation) and then translated by (the mean value):
Chore charts and behavior charts can each be used for several different situations. On the other hand, Homework charts and toilet training charts are used for what their titles suggest. Experts advise only using one chart at a time though, otherwise children can get confused and so can the adult. Charts like these can be found on several ...
The normal distribution is NOT assumed nor required in the calculation of control limits. Thus making the IndX/mR chart a very robust tool. This is demonstrated by Wheeler using real-world data [4], [5] and for a number of highly non-normal probability distributions. [6]
In statistical process control (SPC), the ¯ and R chart is a type of scheme, popularly known as control chart, used to monitor the mean and range of a normally distributed variables simultaneously, when samples are collected at regular intervals from a business or industrial process. [1]
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Normal probability plots are made of raw data, residuals from model fits, and estimated parameters. A normal probability plot. In a normal probability plot (also called a "normal plot"), the sorted data are plotted vs. values selected to make the resulting image look close to a straight line if the data are approximately normally distributed.