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Topic: Standard error statistics


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In the News (Fri 17 Feb 12)

  
 [No title]
The sampling error, as measured by an estimated standard error, varies by the size of the estimate and the size of the base population.
These standard errors may also be used to test the significance of the difference between two sample statistics by pooling the standard errors of the two sample estimates.
For example, the standard error of the difference between violent or drug offenders carrying firearms when committing their current offense would be 1.0% (or the square root of the sum of the squared standard errors for each group).
www.ojp.usdoj.gov /bjs/pub/ascii/fuo.txt   (5840 words)

  
 Statistics Glossary - sampling
Standard error is the standard deviation of the values of a given function of the data (parameter), over all possible samples of the same size.
Bias is a term which refers to how far the average statistic lies from the parameter it is estimating, that is, the error which arises when estimating a quantity.
Precision is usually expressed in terms of imprecision and related to the standard error of the estimator.
www.stats.gla.ac.uk /steps/glossary/sampling.html   (1219 words)

  
 Standard 2-6 : NCES Statistical Standards   (Site not responding. Last check: 2007-10-09)
STANDARD 2-6-3: Reliability - The scores obtained by a test instrument must be free from the effects of random variations due to factors such as administration conditions and/or differences between scorers.
Standard error statistics should include components due to sampling examinees, as well as components due to measurement error of the test instrument.
STANDARD 2-6-4: Fairness - Test instruments used in NCES surveys must be designed, developed, and administered in ways that treat participants equally and fairly, regardless of differences in personal characteristics such as race, ethnicity, gender, age, socioeconomic status, or disability that are not relevant to the intended uses of the instrument.
nces.ed.gov /statprog/2002/std2_6.asp   (2406 words)

  
 Using Descriptive Statistics
One is with the standard deviation of a single measurement (often just called the standard deviation) and the other is with the standard deviation of the mean, often called the standard error.
The standard error is calculated by dividing the standard deviation by the square root of number of measurements that make up the mean (often represented by N).
By dividing the standard deviation by the square root of N, the standard error grows smaller as the number of measurements (N) grows larger.
www.ncsu.edu /labwrite/res/gt/gt-stat-home.html   (1382 words)

  
 Table 7 is the facet measurement report
Error = standard error (precision) of the logit estimate.
"Standard error=Real" for the larger, data-sensitive standard error For extreme scores, the standard error is for the estimate obtained using the Xtreme= specification.
Standard errors for extreme scores are omitted from the summary statistics.
www.winsteps.com /facetman/table7.htm   (783 words)

  
 Standard Errors: Model and Real
A standard error quantifies the precision of a measure or an estimate.
It is the standard deviation of an imagined error distribution representing the possible distribution of observed values around their "true" theoretical value.
What it is useful, however, is to estimate "real" standard errors by enlarging the model "ideal" standard errors by the model misfit encountered in the data.
www.winsteps.com /winman/standarderrors.htm   (551 words)

  
 Statistics Review - Screen 169   (Site not responding. Last check: 2007-10-09)
The statistic we shall discuss now is the sample estimate of the standard error of the mean.
The equation for the standard error of the mean is the same whether you are using parameters or statistics.
The standard error of the mean is equal to the standard deviation divided by the square root of the sample size.
www.msu.edu /user/sw/statrev/strv169.htm   (284 words)

  
 Standard error of the mean (1 of 2)   (Site not responding. Last check: 2007-10-09)
It is the standard deviation of the sampling distribution of the mean.
where σ is the standard deviation of the original distribution and N is the sample size (the number of scores each mean is based upon).
More specifically, the size of the standard error of the mean is inversely proportional to the square root of the sample size.
davidmlane.com /hyperstat/A103735.html   (133 words)

  
 Standard error   (Site not responding. Last check: 2007-10-09)
The standard error of a statistic is the standard deviation of the sampling distribution of that statistic.
The inferential statistics involved in the construction of confidence intervals and significance testing are based on standard errors.
For instance, the standard error of the mean is indicated by the symbol:
www.ruf.rice.edu /~lane/hyperstat/A103397.html   (110 words)

  
 CBE Glossary: Statistics   (Site not responding. Last check: 2007-10-09)
A measure of the relative spread in a set of measurements; calculated as the standard deviation divided by the mean, and frequently multiplied by 100%.
The standard deviation of a statistic; a measure of the "average" spread of the values of the statistic that would be obtained from repeated samples or experiments of the same size.
The mean, the standard deviation, the correlation coefficient, and the slope of a regression line are examples of statistics.
www.erc.montana.edu /Res-Lib99-sw/glossary/gstats.html   (262 words)

  
 Using Humor to Teach Statistics: Must They Be Orthogonal   (Site not responding. Last check: 2007-10-09)
Many statistics instructors are not as aware as they could be of the statistical humor available to them or how to use it as a conceptual development and assessment device in their instruction.
This means that during the course of study, it is standard procedure for almost everyone to become a deviate of one kind or another at least three times due to the normal curve thrown by the course, under which one falls.
The chief of a statistical office, an officer in administrative service, was meeting a group of statisticians who complained that in a report received from another organization some estimates were given without standard errors.
www.bamaed.ua.edu /~rlomax/LOMAX/HUMOR.HTM   (5434 words)

  
 Standard error   (Site not responding. Last check: 2007-10-09)
Standard errors are important because they reflect how much sampling fluctuation a statistic will show.
The standard error of a statistic is usually designated by the Greek letter sigma (σ) with a subscript indicating the statistic.
For instance, the standard error of the mean is indicated by the symbol: σ
davidmlane.com /hyperstat/A103397.html   (117 words)

  
 [No title]
Comparisons mentioned in the report passed a hypothesis test at the 0.05 level of statistical significane (or the 95-percent confidence level.) This means that the estimated difference between comparisons was greater than twice the standard error of that difference.
The standard error calculations were made using statistical programs specifically developed for the NCVS by the U.S. Bureau of the Census.
The Bureau of Justice Statistics is the statistical agency of the U.S. Department of Justice.
www.ojp.usdoj.gov /bjs/pub/ascii/wv96.txt   (3156 words)

  
 Tetrachoric and Polychoric Correlation
Error is similarly assumed to be normally distributed (and independent both between raters and across cases).
statistic is evaluated as a chi-squared value with df = R - 1, where R is the number of rating levels (this test only applies when both raters use the same number of rating levels).
Algorithm AS 116: the tetrachoric correlation and its standard error.
ourworld.compuserve.com /homepages/jsuebersax/tetra.htm   (3544 words)

  
 Definition: Standard error   (Site not responding. Last check: 2007-10-09)
The standard error is the estimated standard deviation of a statistic.
For example, the standard error of a sample mean is just the sample standard deviation divided by the square root of the sample size.
First, the statistic divided by the standard error gives you a way of testing whether the parameter that your statistic is estimating equals zero.
www.cmh.edu /stats/definitions/stderr.htm   (252 words)

  
 Standard error - Wikipedia, the free encyclopedia
In statistics, an expression of the uncertainty in a value - see standard error (statistics).
One of the standard streams in Unix and Unix-like operating systems.
This is a disambiguation page — a list of articles associated with the same title.
en.wikipedia.org /wiki/Standard_error   (90 words)

  
 Essential Research Statistics for the Health and Behavioral Sciences Glossary
It's standard deviation equals the population standard deviation of the sampled distribution divided by the square root of the sample size.
Measures of central tendency are summary statistics or descriptive statistics used to indicate the central location of a group of data values.
The mode is summary statistic and is one of the three most commonly used measures of central tendency.
www.uth.tmc.edu /uth_orgs/educ_dev/HI5353/LGLOS1_0.HTM   (4523 words)

  
 Distributions
Enter the mean and standard deviation of the source population and the size of the samples.
For samples of size n, randomly drawn from a normally distributed source population with specified mean and standard deviation.
Standard Error of the Difference Between the Means of Two Samples.
faculty.vassar.edu /lowry/vsdist.html   (331 words)

  
 Which Standard Error?
The standard error of a measure captures its precision in a particular context.
Statistical programs often report parameter estimates to many decimal places, giving those results an apparent precision far greater than their actual precision.
Accordingly the "0 logit" item is reported with perfect precision, i.e., 0.00 logit standard error, or the standard error for this item is not reported at all.
www.rasch.org /rmt/rmt92n.htm   (770 words)

  
 Standard Error Demonstration   (Site not responding. Last check: 2007-10-09)
Since our interest in inferential statistics is in making an inference about a population from a sample, it is important to know what kind of variability to expect in the samples we take.
The standard deviation, just as with other distributions we have worked with, will be the measure of variability we use; this time for the sampling distribution.
Just as we calculated how much variability existed in a distribution of values sampled from the population, the standard error is how much variability exists in a distribution of sample means.
faculty.uncfsu.edu /dwallace/serror.html   (372 words)

  
 Trimmed Mean Standard Error
Compute the standard error of the trimmed mean for a variable.
The standard error of the trimmed mean can be used to estimate the uncertainty of the trimmed mean estimate (and to create confidence intervals).
Wilcox suggests a refinement of the standard bootstrap, which he calls he percentile t bootstrap, which has better performance than the standard bootstrap.
www.itl.nist.gov /div898/software/dataplot/refman2/auxillar/trimmse.htm   (699 words)

  
 STATISTICS 2   (Site not responding. Last check: 2007-10-09)
However, it is often very difficult to quantify the systematic error, and in most cases the given error is the statistical error only.
The standard error of the average (SE) is:
The SE is the error reported for the precision of an experiment.
www.ldeo.columbia.edu /~psguest/eda/stat_lec2.html   (495 words)

  
 The Central Limit Theorem
Central Limit Theorem: As sample size increases, the sampling distribution of sample means approaches that of a normal distribution with a mean the same as the population and a standard deviation equal to the standard deviation of the population divided by the square root of n (the sample size).
It is used extensively to calculate the margin of error which in turn is used to calculate confidence intervals.
Since 95.0% of a normally distributed population is within 1.96 (95% is within about 2) standard deviations of the mean, we can often calculate an interval around the statistic of interest which 95% of the time would contain the population parameter of interest.
www.andrews.edu /~calkins/math/webtexts/prod13.htm   (751 words)

  
 Earliest Known Uses of Some of the Words of Mathematics (S)   (Site not responding. Last check: 2007-10-09)
STANDARD POSITION is found in 1873 in An elementary course in free-hand geometrical drawing by Samuel Edward Warren: "a right angle is in its simplest, most natural, or standard position, when its sides are in the fundamental directions of vertical and horizontal" [University of Michigan Digital Library].
Nor was the statistic of the bridge, being a mile in length, handed over to the fund of general information, without a look which plainly hinted of the many laggard walks it had cost him by the side of his sturdy team.” [University of Michigan Digital Library].
Most statistical tables are parchingly dry in the reading; not so in the present case, however, where the reader is flooded with whole pipes, barrels, quarts, and gills of good gin and good cheer.
members.aol.com /jeff570/s.html   (12600 words)

  
 AAVSO: CCD Observing Manual: Photometry
Calculate the SE (standard error) of the average sky annulus value per pixel by dividing SEi by the number of pixels in the sky annulus; call it SErefavg.
There are several sources of error that creep into CCD measurements, such as, lack of color correction, not using a V band filter, and a poor signal-to-noise ratio.
This error can be removed by determination the instruments color transformation coefficients and then transforming to the standard Johnson V band photometric system.
www.aavso.org /observing/programs/ccd/manual/4.shtml   (4926 words)

  
 [No title]   (Site not responding. Last check: 2007-10-09)
] Periodic error in the position of the recorded spot along a recorded facsimile line.
] A vertical subdivision of the standard artillery atmosphere; it may be considered a layer of air of prescribed thickness and altitude.
] A compass designated as the standard for a vessel; it is located in a favorable position, that is, a position with a minimum magnetic aberration, and is accurately calibrated.
www.accessscience.com /Dictionary/S/S48/DictS48.html   (3096 words)

  
 eBMJ -- Statistics at Square One: Survival analysis   (Site not responding. Last check: 2007-10-09)
The standard error of the log risk is given by (4)
statistic, we have little evidence that this result would not have arisen by chance.
In the same way that multiple regression is an extension of linear regression, an extension of the log rank test includes, for example, allowance for prognostic factors.
bmj.bmjjournals.com /collections/statsbk/12.shtml   (1478 words)

  
 New View of Statistics: SEE
The SEE is another example of a root mean square error.
The SEE represents the scatter of points about the line for any given value of skinfold thickness, which means it's the "error"--actually a standard deviation--in predicting body fat from a given value of skinfold thickness.
A line based on active young female athletes is no good for predicting body fat in sedentary middle-aged males.
www.sportsci.org /resource/stats/see.html   (263 words)

  
 GraspMath Probability and Statistics Video 8 - Standard Error, Confidence Interval,T-Distribution   (Site not responding. Last check: 2007-10-09)
This segment covers the standard error of the mean as the variance of the sample mean as a random variable, as well as computational examples.
This segment covers the construction of confidence intervals for the mean of a random variable in cases where the variance of the random variable is known, and where a sample mean and the standard Z-distribution can be applied.
This segment covers the construction of confidence intervals for the mean of a normal random variable in cases where the sample mean, the sample variance, and the T-distribution are required.
www.graspmath.com /graspmath/Prob8.html   (140 words)

  
 Standard error - TheBestLinks.com - Operating system, Statistics, Unix, Unix-like, ...   (Site not responding. Last check: 2007-10-09)
Standard error - TheBestLinks.com - Operating system, Statistics, Unix, Unix-like,...
Standard error, Operating system, Statistics, Unix, Unix-like, Standard streams...
This is a disambiguation page, i.e., a navigational aid which lists other pages that might otherwise share the same title.
www.thebestlinks.com /Standard_error.html   (134 words)

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