Let us determine the mth coefficient in the representation given by equation (3.212) for the function fk = dk,r, (3.216) where r is a given integer such that 1 < r < N. Substitution of equation (3.216) into equation (3.215) gives 2 2 sin mrk Cm = N+12S, Sk.r sin (3.217) N +1 N + N +1 k=1 Therefore, the function fk = 8k,r has the representation N MAr mrk sin N +1 sin N +1, (3.218) fk: n +1 m=1
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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