September 2, at am September 16, at am Khader Include Khader in your post and this person will be notified via email. Variance — The Variance is the distance between the Mean. The mean is the average data point value within a data set.
Data are factual information used as a basis for reasoning, discussion or calculation; often this term refers to quantitative information. February 8, at am Inquirer Include Inquirer in your post and this person will be notified via email. February 9, at pm Remi Include Remi in your post and this person will be notified via email. Example: you measure Y. Y is the dependent output variable of a process.
It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. This is my first question on Cross Validated here, so please help me out even if it seems trivial :- First of all, the question might be an outcome of language differences or perhaps me having real deficiencies in statistics.
Nevertheless, here it is:. In population statistics, are variation and variance the same terms? If not, what is the difference between the two? I know that variance is the square of standard deviation. I also know that it is a measure of how sparse the data is, and I know how to compute it.
However, I've been following a Coursera. That got me confused a bit. To be fair, he always talked about computing variation of some particular instance in a population. Could someone make it clear to me if those are interchangeable, or perhaps I'm missing something? Synonyms for "variation" are spread, dispersion, scatter and variability.
It's just a way of talking about the behavior of the data in a general sense as either having a lot of density over a narrow interval generally near the mean, but not necessarily if the distribution is skewed or spread out over a wide range. Variance is a particular measure of variability, but others exist and several are enumerated in the linked article. Then there are all manners of qualitative variation , which are mentioned in the Wikipedia article DavidMarx linked. These pages corroborate his answer BTW; statistical dispersion or variability are better synonyms for variation than variance , which is clearly not so synonymous.
The sample consists of n-1 degrees of freedom in short: df. Systematic variance refers to that part of the total variance that can predictably be related to the variables that the researcher examines. Error variance emerges when the behavior of participants is influenced by variables that the researcher does not examine did not include in his or her study or by means of measurement error errors made during the measurement.
For example, if someone scores high on aggression, this may also be explained by his or her bad mood instead of the temperature. This form of variance can not be predicted in the study. The more error variance is present in a data set, the harder it is to determine if the manipulated variables independent variables actually are related to the behavior one wants to examine the dependent variable. Therefore, researchers try to minimize the error variance in their study.
Knowledge and assistance for discovering, identifying, recognizing, observing and defining statistics. Knowledge and assistance for classifying, illustrating, interpreting, demonstrating and discussing statistics. Understanding variability, variance and standard deviation Understanding variability, variance and standard deviation. A low standard deviation indicates that the data points tend to be close to the mean of the set, while a high standard deviation indicates that the Variability, Variance and Standard Deviation Measuring variability Variance and standard deviation Systematic variance and error variance.
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