denotes the Mellin transform. In mathematics, the gamma function (represented by Γ, the capital letter gamma from the Greek alphabet) is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except the non-positive integers.
What are the characteristics of the normal distribution curve?
Marks scored on the test
Heights of different persons
Size of objects produced by the machine
Blood pressure and so on.
How is the formula for normal distribution determined?
normal distribution: The normal distribution is a continuous distribution that has a bell-shaped curve and is completely determined by its mean {eq}mu {/eq} and standard deviation {eq}sigma {/eq}.
How to determine normal distribution?
Histogram. The first method that almost everyone knows is the histogram. The histogram is a data visualization that shows the distribution of a variable.
Box Plot. The Box Plot is anot h er visualization technique that can be used for detecting non-normal samples.
QQ Plot. With QQ plots we’re starting to get into the more serious stuff,as this requires a bit more understanding than the previously described methods.
Kolmogorov Smirnov test. If the QQ Plot and other visualization techniques are not conclusive,statistical inference (Hypothesis Testing) can give a more objective answer to whether our variable deviates
Lilliefors test. The Lilliefors test is strongly based on the KS test.
Shapiro Wilk test. The Shapiro Wilk test is the most powerful test when testing for a normal distribution.
Conclusion — which approach to use! For quick and visual identification of a normal distribution,use a QQ plot if you have only one variable to look at and