# ANOVA

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AcronymDefinition
ANOVAAnalysis of Variance
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From the analysis of variance, it was established that formulation 19 (LLDPE + UV stabilizer (E) + IR kaolin blocker (IR) + Iriodin 215 photoselector (215)) presented a significant difference in average thickness compared to other formulations; on comparing the results obtained with thickness of LLDPE 3304 reference film, it is evident how the incorporation of these additives greatly increased the thickness of the film
Analysis of variance showed that the effect main degree density within probability level 1% on root volume is significant (Table 1).
Analysis of variance showed that different doses of nitrogen alone and in combination with constant doses of phosphorus and potassium had significant effect on number of leaves per plant.
Table 2 shows the results of an analysis of variance and Duncan's mean separation test for the compressive strength of calabrian pine wood.
Anova Results and Standard Deviations for Feed Efficiency Breed N Mean * (1) Standard Deviation Chester White 247 1.17a 0.19 Spot 159 1.23b 0.28 Yorkshire 447 1.24b 0.04 Berkshire & Poland's 147 1.25b 0.08 Duroc 723 1.30c 0.49 Landrace 170 1.31c 0.53 Hampshire 252 1.36c 0.56 Means in the same column not sharing common superscripts differ (P<.05) * Significance level for effect of breed from analysis of variance where designated (1) Mean Feed Efficiency = kilograms per kilogram of gain Table 2.
ANALYSIS OF VARIANCE identifies statistically significant differences between various demographic groups on the survey.
A Friedman analysis of variance revealed statistically insignificant differences in the mean item ranks, [chi square] (24,n=6)=29.54, p=.20.
The analysis of variance has its own terminology that is somewhat different, so we will first explore terms.
This book requires a good understanding of analysis of variance but not advanced linear model theory or matrix algebra.
Yet the tools and techniques do not intrude - the reader is not lectured in methodology, and those who are interested can venture beyond the concluding chapter into the three appendices which reveal, respectively, "Sources and Samples"; "Annual Birth Weight Means" for each of the five cities; and "One-Way Analysis of Variance" of the variables in the data.
Table 1: Financial Leverage Among Top 500 European Industrials (Equity Capital as Percentage of Total Assets) Country Number of Standard Companies Mean Deviation West Germany 137 24.64 12.87 Great Britain 114 39.86 17.70 France 78 17.93 15.89 Sweden 41 24.08 11.11 Netherlands 29 29.70 16.66 Italy 28 12.45 18.08 Belgium 18 31.37 13.68 Spain 15 26.49 15.95 Switzerland 15 28.51 23.36 Austria 9 26.36 22.00 Finland 7 18.49 8.11 Norway 4 19.33 11.64 Denmark 4 35.68 7.33 Total 500 27.04 16.63 Analysis of Variance Between Countries: F = 11.646 (Significant at less than 0.01% level)
A Gage R&R study is actually a designed experiment using a simple analysis of variance to determine the amount of error attributable to the measurement system as a percentage of the specification range.
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