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ERIC Number: ED450156
Record Type: Non-Journal
Publication Date: 2001-Feb-1
Pages: 22
Abstractor: N/A
Reference Count: N/A
There Are Infinitely Many Univariate Normal Distributions: Distribution "Bells" Come in Many Appearances.
Rollins, Dahl A.
Many univariate statistical methods assume that dependent variable data have a univariate distribution. Some statistical methods assume that the error scores are normally distributed. It is clear that the concept of data normality is an important one in statistics. This paper explains that, notwithstanding common misconceptions to the contrary, there are infinitely many normal distributions, each differing in appearance. The classic bell-shaped curve only depicts one single case of the infinitely many univariate normal distributions. The bell-shaped curve is the general shape of all normal univariate distributions, but the bells can have an infinite assortment of shapes and still be bells. A small heuristic data set involving scores of 100 people of a variable labeled "x" is used to illustrate this principle. (SLD)
Publication Type: Numerical/Quantitative Data; Reports - Descriptive; Speeches/Meeting Papers
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A