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 Encyclopedia of Keywords > Glossaries > Glossary of Statistics > Analysis of Variance / Michael Charnine

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This Review contains major "Analysis of Variance"- related terms, short phrases and links grouped together in the form of Encyclopedia article.

### DefinitionsUpDw('Definitions','-Abz-');

1. Analysis_of_variance is used to compare variances from more than two groups.
2. Analysis_of_variance is a technique for analyzing experimental data.
3. Analysis_of_variance is used to test the hypothesis that several means are equal.
4. Analysis_of_variance is a statistical technique which may be used for making many simultaneous comparisons (e.g.
5. Analysis_of_Variance is a very useful and powerful technique for this, and not surprisingly it is widely used throughout the behavioral sciences.

### Linear ModelsUpDw('LINEAR_MODELS','-Abz-');

1. All of these are available in PROC NPAR1WAY (nonparametric 1-way analysis_of_variance) in SAS.
2. Topics include elementary analysis_of_variance, simple linear regression; topics related to analysis_of_variance and experimental designs.
3. It could also be used to supplement an intermediate or advanced course on linear models, analysis_of_variance, or variance components.
4. Topics include advanced graphical procedures, linear models (regression and analysis_of_variance), multivariate techniques, and SAS macros.

### Two-Way Analysis of VarianceUpDw('TWO-WAY_ANALYSIS_OF_VARIANCE','-Abz-');

1. A one-way analysis_of_variance was conducted to evaluate the effect of consumption of alcohol on reaction time.
2. The example Example: Two-Way ANOVA uses two-way analysis_of_variance to study the effect of car model and factory on car mileage.
3. The initial techniques of the analysis_of_variance were pioneered by the statistician and geneticist Ronald Fisher in the 1920s and 1930s.
4. Review the Results Figure 11.10 displays the analysis_of_variance table and the parameter estimates.
5. Tatsuoka, M. (1975). The general linear model: A "new" trend in analysis_of_variance.

### Multiple ComparisonsUpDw('MULTIPLE_COMPARISONS','-Abz-');

1. Multiple comparisons tests for an analysis_of_variance may be applied when the effects are fixed.
2. Most people use computer programs to perform the Analysis_of_Variance and multiple comparison tests.
3. Use S-PLUS to do an analysis_of_variance with the Scheffe method for multiple comparisons.

### Friedman TestUpDw('FRIEDMAN_TEST','-Abz-');

1. Interpretation: The Friedman test can be seen as a two-way analysis_of_variance with one observation per cell.
2. The Friedman test is used for two-way repeated measures analysis_of_variance by ranks.
3. Correlation regression analysis_of_variance and nonparametric tests.

### MeansUpDw('MEANS','-Abz-');

1. In general, the purpose of analysis_of_variance (ANOVA) is to test for significant differences between means.
2. Note that analysis_of_variance tests the null hypotheses that group means do not differ.
3. This post hoc test can be used to determine the significant differences between group means in an analysis_of_variance setting.

### FactorialUpDw('FACTORIAL','-Abz-');

1. Prerequisites include a course on factorial analysis_of_variance.
2. Analysis_of_variance for factorial designs.

### DesignUpDw('DESIGN','-Abz-');

1. Experimental design with emphasis on analysis_of_variance.
2. Prerequisite: EDMS 645. A second-level inferential statistics course with emphasis on analysis_of_variance procedures and designs.

### InteractionUpDw('INTERACTION','-Abz-');

1. In a two factor analysis_of_variance, such comparisons can involve either main effect of interaction means.
2. Recall the classical analysis_of_variance gave a p-value to test column effects, row effects, and interaction effects.

### AnovaUpDw('ANOVA','-Abz-');

1. Example with a one-way analysis_of_variance ( ANOVA) with 3 groups and 7 observations.
2. Since it is a non-parametric method, the Kruskal-Wallis test does not assume a normal population, unlike the analogous one-way analysis_of_variance.
3. This review introduces one-way analysis_of_variance, which is a method of testing differences between more than two groups or treatments.
4. In a one-way analysis_of_variance, we may think of the data as consisting of g independent samples (possibly of different sizes) from g populations.
5. The example Example: One-Way ANOVA uses one-way analysis_of_variance to determine if the bacteria counts of milk varied from shipment to shipment.

### Regression AnalysisUpDw('REGRESSION_ANALYSIS','-Abz-');

1. Some statistical measures include regression analysis, mean, kurtosis, skewness, analysis_of_variance and variance.
2. Least squares principles used to integrate topics of multiple linear regression analysis, the analysis_of_variance and analysis of covariance.
3. Currently listed as STAT 689. The analysis of messy and complex data sets using analysis_of_variance, analysis of covariance and regression analysis.

### Multiple RegressionUpDw('MULTIPLE_REGRESSION','-Abz-');

1. Multiple regression with dummy variables yields the same inferences as multiple analysis_of_variance (MANOVA), to which it is statistically equivalent.
2. A continuation of STA 3381. Development and applications of two-sample inference, analysis_of_variance and multiple regression.
3. Multiple regression and analysis_of_variance, with emphasis on statistical inference and applications to various fields.

### Multivariate Analysis of VarianceUpDw('MULTIVARIATE_ANALYSIS_OF_VARIANCE','-Abz-');

1. Fundamental concepts and analytical skills in analysis_of_variance, including crossed and nested designs, as well as fixed- and random-effect models.
2. Further, one can use proc glm for analysis_of_variance when the design is not balanced.
3. Inference for the multivariate normal distribution, including Hotelling's T - and multivariate analysis_of_variance.
4. There are several statistical methods for analyzing designs with random effects (see Methods for Analysis_of_Variance).
5. In multivariate analysis_of_variance, you instead look for the linear combination of the original variables that has the largest separation between groups.

### Experimental DesignUpDw('EXPERIMENTAL_DESIGN','-Abz-');

1. ISBN 0-471-21187-7 Lindman, H. R. (1974). Analysis_of_variance in complex experimental designs.
2. Prerequisites: BIOM 601 or (BIOM 402 and BIOM 405). Also offered as AGRO 804. The principles of experimental design and analysis_of_variance and covariance.

### Discriminant AnalysisUpDw('DISCRIMINANT_ANALYSIS','-Abz-');

1. Topics covered including multivariate analysis_of_variance, discriminant analysis, canonical correlation analysis and principal components analysis.
2. Analysis of molecular variance (AMOVA) : A statistical (analysis_of_variance) method for analysis of molecular genetic data.
3. Analysis of covariance (ANCOVA) is a blending of regression and analysis_of_variance (Roscoe, 1975).
4. In this paper, multivariate analysis_of_variance (MANOVA) and discriminant analysis (DA) are used.
5. It includes hypothesis testing, regression and correlation analysis and analysis_of_variance.

### VarianceUpDw('VARIANCE','-Abz-');

1. The computation for the Brown-Forsythe test for equal variance is also similar to the computation for the one-way analysis_of_variance.
2. The computation for Levene-s test for equal variance is similar to the computation for the one-way analysis_of_variance.
3. Response: ICC (1) is based on the assumptions of the analysis_of_variance that within-group variance is error.

### LectureUpDw('LECTURE','-Abz-');

1. This lecture presents some of the basic concepts that underlie the analysis_of_variance.
2. This lecture discusses the importance and implications of statistical power both in general and with specific reference to the analysis_of_variance.

### Discriminant FunctionUpDw('DISCRIMINANT_FUNCTION','-Abz-');

1. Stated in this manner, the discriminant function problem can be rephrased as a one-way analysis_of_variance (ANOVA) problem.
2. This lectures introduces the multivariate analysis_of_variance (manova) and its statistical counterpart, discriminant functions analysis (dfa).

### Multiple DependentUpDw('MULTIPLE_DEPENDENT','-Abz-');

1. This extension of the Mann-Whitney U test to multiple samples is a nonparametric alternative to one-way analysis_of_variance.
2. ANOVA (analysis_of_variance): A test for significant differences between multiple means by comparing variances.
3. Multivariate Analysis_of_Variance (MANOVA) is an extension of the concepts and techniques of ANOVA to situations with multiple dependent variables.
4. Related analysis_of_variance for fixed, random, and mixed effects models, multiple comparison procedures.
5. The techniques will include least squares analysis_of_variance and covariance, multiple and polynomial regression, and multiple discrimination.

### F-DistributionUpDw('F-DISTRIBUTION','-Abz-');

1. The F-distribution, which is the distribution of the ratio of two (normalized) chi-square distributed random variables, used in the analysis_of_variance.
2. F-distribution: A family of probability distributions used for hypothesis tests in analysis_of_variance and regression.

### One-Way Analysis of VarianceUpDw('ONE-WAY_ANALYSIS_OF_VARIANCE','-Abz-');

1. Description : Statistical analyses include t-tests, analysis_of_variance, rates and proportions, nonparametric methods and regressions.
2. One and two sample t-tests, one-way analysis_of_variance, inference for count data and regression.
3. Critchlow DE, Fligner MA. On distribution-free multiple comparisons in the one-way analysis_of_variance.
4. Books about "Analysis of Variance" in Amazon.com  Short phrases about "Analysis of Variance"   Originally created: August 16, 2007.   Please send us comments and questions by this Online Form   Please click on to move good phrases up.
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