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standard deviation vs variance

standard deviation

Definitions

noun

  1. the square root of the variance

Examples

That notion identifies heritability with the regression of the offspring phenotype on the parental (or biparental mean in the case of sexual reproduction), where both phenotypes are presented as z-scores (i.e., set to mean = 0 and standard deviation = 1).

The top selling non-fiction book Blink is coining mucho bling for Malcolm Gladwell, yet in 1997 Gladwell wrote a New Yorker article called "The Sports Taboo: Why blacks are like boys and whites are like girls," which made exactly the same argument as Larry Summers made about what is innately different in the capabilities of males and females -- that men have a larger standard deviation on many traits, so there are more men at the top and bottom of the bell curves.

Often, that level of probability is arbitrarily set to a value like 95%, or two standard deviations, two sigma, which is about 98% for a normal distribution.

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variance

Definitions

noun

  1. a difference between conflicting facts or claims or opinions
  2. an official dispensation to act contrary to a rule or regulation (typically a building regulation)
  3. an activity that varies from a norm or standard
  4. the second moment around the mean; the expected value of the square of the deviations of a random variable from its mean value
  5. the quality of being subject to variation
and more 2 ...

Examples

Such conditions produce overdispersion, wherein the variance exceeds the mean.

Problems such as background noise determination, analysis of variance, and errors in data handling are highlighted.

So looking at whether something makes people happy is largely futile. In statisticians' terms, you are looking for variance in something that is invariant.

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