Deviation, mean

Calculate the mean deviation of the set of data given in Example 2.4. Thus from Example 2.4 the calculated mean value of the data set is m = 10.1 

By using the above value and the given data in Equation (2.3), we obtain 

This is a commonly used measure of dispersion, which indicates the degree to which given data tend to spread about a mean value. Mean deviation is expressed by 

MD = mean deviation n = number of data values DVj = data value/, for / = 1,2,3.n m = mean value of the given data set iDVj -m = absolute value of the deviation of DVj from m 

Calculate the mean deviation of the data set provided in Example 2.1. 

Using the data set from Example 2.1 and the calculated mean value (i.e., m = 5.5 defects/system) in Equation (2.2), we get 

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Tom Blundell has answered these questions by superposing the Ca atoms of the two motifs within a domain with each other and by superposing the Ca atoms of the two domains with each other. As a rule of thumb, when two structures superpose with a mean deviation of less than 2 A they are considered structurally equivalent. For each pair of motifs Blundell found that 40 Ca atoms superpose with a mean distance of 1.4 A. These 40 Ca atoms within each motif are therefore structurally equivalent. Since each motif comprises only 43 or 44 amino acid residues in total, these comparisons show that the structures of the complete motifs are very similar. Not only are the individual motifs similar in stmcture, but they are also pairwise arranged into the two domains in a similar way since superposition of the two domains showed that about 80 Ca atoms of each domain were structurally equivalent. 

The mean deviation from experiment the average difference between computed and experimental values. This statistic is not very meanin since it allows positive and negative errors—underestimations overestimations—to cancel one another. Flowever, a large value usi indicates the presence of systematic errors. 

Consequently, structures 85b and 85c must be considered resonance structures rather than valence isomers. Hyperfine coupling constants were computed for a series of dithiazolyl radicals and related compounds [96MRC913]. An absolute mean deviation of 0.12 mT with respect to experimental data is reported for 10 sulfur hyperfine coupling constants obtained from UB3-LYP/TZVP calculations. 

Manganese, D. of - continued with magnesium and zinc, (ti) 334 Mannitol 299, 581 Masking agents 12, 312 Mass action law 16 applications to electrolyte solutions, 23 Matrix effects 733, 794 Maxima in polarography 597 suppression of, 597, 611 Mean deviation 134 relative, 134 standard, 134 Measuring cylinders, 87 flasks, 81... 

Reductant equivalent weights of, 847 Reduction 409 by chromium(II) salts, 409 by hydrogen sulphide, 416 by Jones reductor (zinc amalgam), 410 by liquid amalgams, 412 by silver reductor, 414 by sulphurous acid, 416 by tin(II) chloride, 415 by titanium(II[), 410 by vanadium(II), 410 see also Iron(III), reduction of Reduction potentials 66 Reference electrodes potentials, (T) 554 Relative atomic masses (T) 819 Relative error 134 mean deviation, 134... 

Deviation Variation from the a specified dimension or design requirement, usually defining the upper and lower limits. The mean deviation (MD) is the average deviation of a series of numbers from their mean. In averaging the deviations, no account is taken of signs, and all deviations whether plus or minus, are treated as positive. The MD is also called the mean absolute deviation (MAD) or average deviation (AD). 

Dunn et al. (D7) measured axial dispersion in the gas phase in the system referred to in Section V,A,4, using helium as tracer. The data were correlated reasonably well by the random-walk model, and reproducibility was good, characterized by a mean deviation of 10%. The degree of axial mixing increases with both gas flow rate (from 300 to 1100 lb/ft2-hr) and liquid flow rate (from 0 to 11,000 lb/ft2-hr), the following empirical correlations being proposed ... 

Average of reported values for zircon, andalusite, silli-manite, staurolite, topaz, titanite, thortveitite, muscovite, apophyllite, hardystonite, analcite, carnegieite, sodalite, danburite, scapolite, and cristobalite mean deviation 0.02 A. 6 Average for BP04 (1.54 A.) and KHjPO, (1.56 A.). For KjSOi and other sulfates. i For Mg(C104)-6H,0. 

With one dative bond from carbonyl and n = 1.67, the average bond angle for Fe(CO)3 is predicted from Eq. 1 to have the value 94.5°. Most of the numerous experimental values lie within about 2° of this value, and their average, 95.6°, with mean deviation 1.2° (Table 2), is in acceptable agreement with it. 

It is seen that, in accordance with the foregoing argument, the low-N ends of these horizontal lines lie close to the curve (mean deviation, 1). The conclusion may be drawn that the structures of stable nuclei involve a significant contribution of structures with a pure neutron core and a pure helion or nearly pure helion mantle. 

Zhang et al. (2006) compared some correlation with each database. The comparison results are tabulated in Table 6.10. Mean deviation is defined as (l/A) x ZI (9 crit,exp crit,cai)/ cricexp X 100%, a bold font in Table 6.10 denoting the smallest of mean deviations predicted by four correlations including a new correlation, and an underlined font being the smallest except for the correlation by Zhang et al. (2006). 

Since a series of t-tests is cumbersome to carry out, and does not answer all questions, all measurements will be simultaneously evaluated to find differences between means. The total variance (relative to the grand mean xqm) is broken down into a component Vi variance within groups, which corresponds to the residual variance, and a component V2 variance between groups. If Hq is true, Vi and V2 should be similar, and all values can be pooled because they belong to the same population. When one or more means deviate from the rest, Vj must be significantly larger than Vi. 

Mean deviation between observed and fitted intensities. 

As an example of the use of MIXCO.TRIAD, an analysis of comonomer triad distribution of several ethylene-propylene copolymer samples will be delineated. The theoretical triad Intensities corresponding to the 2-state B/B and 3-state B/B/B mixture models are given In Table VI. Abls, et al (19) had earlier published the HMR triad data on ethylene-propylene samples made through continuous polymerization with heterogeneous titanium catalysts. The data can be readily fitted to the two-state B/B model. The results for samples 2 and 5 are shown In Table VII. The mean deviation (R) between the observed and the calculated Intensities Is less than 1% absolute, and certainly less than the experimental error In the HMR Intensity determination. 

VJhereas the occurrence of 3-state models (or even higher-state models) is reasonable in view of catalyst heterogeneity, the mean deviations obtained in the 2-state and the 3-state models are very similar. Thus, for practical purposes, the 2-state model approximates the copolymer system fairly well. 

Calculated at the JSCH-2005 database geometries [1]. (In parenthesis) number of comparisons. b Mean signed error. c Mean deviation. d Mean unsigned error. e Root mean square error. 

In the molecule of 4-methylene-3-borahomoadamantane derivative 79, the structure of which was determined by X-ray analysis, the six carbon atoms of the triene system, the two boron and two silicon atoms all lie in one plane within experimental error (mean deviation 1.4 pm). The boron atoms deviate from the trigonal-planar geometry, since the sum of bond angles around the atoms is only 355.8° instead of 360°, as usually encountered in triorganoboranes. Considerable distortions of the bond angles at the terminal C-C double bond occurs in the vicinity of the boron atoms B-C(4)-C(ll) 130.60(19)° and B-C(4)-C(5) 107.38(17)° <2002CEJ1537>. 

Heater Calibration ratio (mW/mm) Mean deviation of results for variable thermal power (/iW/mm) Time constant (sec)... 

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