These differences are also almost impossible to estimate with any reliability,
as estimation errors will often be larger than the differences researchers are trying to estimate.
Not exact matches
We have only imperfect measures of teachers» effectiveness and, with one year of data, the variance in the
estimation error can be
as large
as the variance in underlying teacher effects.
I wouldn't necessarily read too much into the AE - derived October number being 2.4 % lower than the Amazon - derived one for September: it could just
as easily be
estimation error — for example,
as mentioned earlier, our estimated US share of the overall global Kindle pot, at 77.5 %, could have actually been high by 2.5 %... or, for that matter, low by 2.5 %.
The proposed scheme uses the channel
estimation matrix for detection and treats the interference caused by channel
estimation errors and additive white Gaussian noise
as equivalent noise where the channel
estimation matrix and the statistical characteristic of channel
estimation errors are necessitated.
If you've ever taken a statistics or econometrics course, you might recognize the calculation and application of the left - inverse
as the ordinary least squares (OLS)
estimation of the weights; that means that in this case, «closest» implies that the weights we found minimize the sum of the squares of the differences («
errors» or «residuals») between our replicated portfolio and VTSMX.
How do we know that it was the anthropogenics (commonly referred to
as CO2 & the subject of the political Kyoto decision) that resulted in the closer
estimation and not some competing / compensating
errors in the natural model that do not show up until the 1970 - 2000 etc temp rises?
For background behind the flattening - MRES process, glance at
estimation theory and take a slightly longer look at least squares (minimizing the sum of the squared
errors — related article at Minimum mean squared
error — minimizing sum - of - squares and mean squared
error are the same thing, and essentially the same thing
as minimizing variance and standard deviation).
For the
estimation of the total ocean heat content (OHC) a lesser precision would probably be almost
as good, because
errors of individual measurements always cancel to a large extent
as long
as the floats do not have common systematic
errors.
Statistics
as such has a part to play in
error estimation, assessing observational reliability, and, e.g., in the mathematical expression of Thermodynamics and Statistical Mechanics.
Insofar
as it is not, and the relationship between changes in greenhouse gases is different in the future to in the past, then the two AF
estimation fractional
errors will differ.
Mplus v7.11 was used for all analyses.23 SDQ items were treated
as ordinal, with weighted least - squares means and variance — adjusted
estimation used.23 Given the χ2 statistic's propensity to reject good models when samples are large and / or complex, the comparative fit index (CFI) and root mean square
error of approximation (RMSEA) were used to assess model fit.
Twins
as a paired event were accounted for using robust
estimation of standard
errors and were not imputed,
as there was no missing data for twins.