A General Method for Partitioning Sums of Squares of Treatments and Interactions in the Analysis of Variance

1977 ◽  
Vol 37 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Robert J. Boik ◽  
Roger E. Kirk
Keyword(s):  
Analysis Of Variance ◽  
Sums Of Squares ◽  
General Method

Flame Photometric Determination of K2O in Fertilizers: Collaborative Study

1983 ◽  
Vol 66 (5) ◽  
pp. 1242-1250
Author(s):  
Peter F Kane ◽  
Rodger W Stringham ◽  
◽  
D Coggin ◽  
S Grigor ◽  
...  
Keyword(s):  
Analysis Of Variance ◽  
Collaborative Study ◽  
Photometric Determination ◽  
Specific Detail ◽  
Automated Method ◽  
Instrumental System ◽  
Flame Method ◽  
Instrument Configuration ◽  
General Method

Abstract A collaborative study of the flame photometric determination of K2O in fertilizers has been conducted. The proposed method is intended to replace both the official manual flame method, 2.091, and the official automated method, 2.097. This is possible because the method is written in a general fashion in terms of instrument performance, rather than specifically for a particular instrument configuration. An example automated instrumental system in specific detail, which meets the general method requirements, is also included. Results for 20 samples from 11 laboratories were compared with results by the official STPB method, 2.102. Means and standard deviations of results are comparable between methods. Analysis of variance does not show any difference in methods. The method has been adopted official first action.

Analysis of Variance

2021 ◽  
pp. 127-138
Author(s):  
Andy Hector
Keyword(s):  
Least Squares ◽  
Linear Model ◽  
Analysis Of Variance ◽  
Inbreeding Depression ◽  
Charles Darwin ◽  
Sums Of Squares ◽  
Anova Table ◽  
Maize Plants

Analysis of variance is introduced using a worked analysis of some data collected by Charles Darwin on inbreeding depression in experimental maize plants. ANOVA is used to compare the heights of a group of cross-pollinated plants with a group of self-fertilized seedlings. The least squares process is explained, including the calculation of sums of squares and variances and the calculation of F-ratios. The organization of the results of a linear model into an ANOVA table is explained. The R code necessary to perform the analysis is worked through and explained in terms of the underlying statistical concepts, and the interpretation of the R output is demonstrated.

The calculation of sums of squares for interactions in the analysis of variance

Psychometrika ◽  
1950 ◽  
Vol 15 (1) ◽  
pp. 17-24 ◽  
Author(s):  
Allen L. Edwards ◽  
Paul Horst
Keyword(s):  
Analysis Of Variance ◽  
Sums Of Squares

The principles of orthogonality and confounding in replicated experiments. (With Seven Text-figures.)

1933 ◽  
Vol 23 (1) ◽  
pp. 108-145 ◽  
Author(s):  
F. Yates
Keyword(s):  
Sugar Beet ◽  
Analysis Of Variance ◽  
Methods Of Analysis ◽  
Different Types ◽  
General Method

VIII. SummaryThe principle of orthogonality in replicated experiments is discussed and the dangers of non-orthogonality emphasised. The modifications necessary in the ordinary procedure of the analysis of variance when applied to non-orthogonal data are developed, attention being paid to the shorter methods, applicable in certain cases, by which the heavy labour of computation necessary in the general method of fitting constants may be avoided.Certain modifications in the design of replicated experiments, usually designated by the term confounding, are explained. The different types of confounding are discussed, together with their uses, and the appropriate methods of analysis are set out. The methods are applied to the analysis of an experiment on sugar beet (where a previous incorrect analysis is corrected) and an experiment on potatoes.

A General Method for Spectrometer Design in the Scoff Approximation

1976 ◽  
Vol 34 ◽  
pp. 538-539
Author(s):  
J. R. Fields
Keyword(s):  
Electron Microscope ◽  
Transmission Electron Microscope ◽  
Energy Analysis ◽  
Incident Beam ◽  
Scanning Transmission Electron Microscope ◽  
Chemical Identification ◽  
Scanning Transmission Electron ◽  
Transmission Electron ◽  
Scanning Transmission ◽  
General Method

The energy analysis of electrons scattered by a specimen in a scanning transmission electron microscope can improve contrast as well as aid in chemical identification. In so far as energy analysis is useful, one would like to be able to design a spectrometer which is tailored to his particular needs. In our own case, we require a spectrometer which will accept a parallel incident beam and which will focus the electrons in both the median and perpendicular planes. In addition, since we intend to follow the spectrometer by a detector array rather than a single energy selecting slit, we need as great a dispersion as possible. Therefore, we would like to follow our spectrometer by a magnifying lens. Consequently, the line along which electrons of varying energy are dispersed must be normal to the direction of the central ray at the spectrometer exit.

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