Analysis of variance       Article     History   Tree Map
  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.


  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 Models

  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 Variance

  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 Comparisons

  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 Test

  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.


  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.


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


  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.


  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.


  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 Analysis

  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 Regression

  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 Variance

  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 Design

  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 Analysis

  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.


  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.


  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 Function

  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 Dependent

  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.


  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 Variance

  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

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  Originally created: August 16, 2007.
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