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Earth and Environmental Sciences Library, 2021
Jose A. Raynal Villaseñor
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Jose A. Raynal Villaseñor
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2015
The concept of the normal distribution is central to statistical thinking, even though few real data sets are normal in the statistical sense. The basis for the normal curve is presented, as well as its properties from which we derive probabilities. Different shapes of distributions are discussed, as well as methods for determining “normality.” The use
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The concept of the normal distribution is central to statistical thinking, even though few real data sets are normal in the statistical sense. The basis for the normal curve is presented, as well as its properties from which we derive probabilities. Different shapes of distributions are discussed, as well as methods for determining “normality.” The use
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IS INTELLIGENCE DISTRIBUTED NORMALLY? [PDF]
British Journal of Statistical Psychology, 1963 Frequency distributions obtained on applying intelligence tests to large samples of the school population are analysed, and compared with those given by the formulae for the commoner types of frequency curve. It is noted that the distributions actually observed are more asymmetrical and have longer tails than that described by the normal curve.
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Rethinking the truncated normal distribution
, 2013A truncated distribution is a conditional distribution which is restricted by the domain of a random variable in special situations. Truncated distributions were introduced more than one hundred years ago, but only a few papers have examined the ...
Jinho Cha, B. Cho, J. Sharp
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1978
In Chapters 9 and 13 (bivariate distributions and logarithmic graphs) it was seen that on occasion data were found to be related, if not perfectly, by a theoretical law in the form of an equation. The imperfections of measurement in addition to the influence of other factors can cause divergencies between theory and practice.
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In Chapters 9 and 13 (bivariate distributions and logarithmic graphs) it was seen that on occasion data were found to be related, if not perfectly, by a theoretical law in the form of an equation. The imperfections of measurement in addition to the influence of other factors can cause divergencies between theory and practice.
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Why are Normal Distributions Normal?
The British Journal for the Philosophy of Science, 2014It is usually supposed that the central limit theorem explains why various quantities we find in nature are approximately normally distributed—people's heights, examination grades, snowflake sizes, and so on. This sort of explanation is found in many textbooks across the sciences, particularly in biology, economics, and sociology.
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1998
A symmetrical bell-shaped frequency distribution is often described as a normal distribution or a Gaussian distribution. It is known as the Gaussian distribution since it was derived by C. F. Gauss and included in his work about the theory of measurement of errors.
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A symmetrical bell-shaped frequency distribution is often described as a normal distribution or a Gaussian distribution. It is known as the Gaussian distribution since it was derived by C. F. Gauss and included in his work about the theory of measurement of errors.
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The multivariate normal distribution
1980The multivariate normal distribution was briefly introduced in Chapter 2. In this chapter we consider its properties in some detail since the estimation of its parameters is the source of many standard multivariate statistical methods. In addition, we shall meet a number of derived distributions of fundamental importance.
Chris Chatfield, Alexander J. Collins
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