# analysis of variance

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## analysis

[ah-nal´ĭ-sis] (pl.*anal´yses*)

separation into component parts.

psychoanalysis. adj.,

*adj*analyt´ic.**activity analysis**the breaking down of an activity into its smallest components for the purpose of assessment.

**bivariate analysis**statistical procedures that involve the comparison of summary values from two groups on the same variable or of two variables within a group.

**blood gas analysis**see blood gas analysis.

**chromosome analysis**see chromosome.

**concept analysis**examination of the attributes of a concept as it occurs in ordinary usage in order to identify the meanings attached to the concept.

**content analysis**a systematic procedure for the quantification and objective examination of qualitative data, such as written or oral messages, by the classification and evaluation of terms, themes, or ideas; for example, the measurement of frequency, order, or intensity of occurrence of the words, phrases, or sentences in a communication in order to determine their meaning or effect.

**correlational analysis**a statistical procedure to determine the direction of a relationship (positive or negative correlation) between two variables and the strength of the relationship (ranging from perfect correlation through no correlation to perfect inverse correlation and expressed by the absolute value of the correlation coefficient).

**analysis of covariance**(ANCOVA) a variation of analysis of variance that adjusts for confounding by continuous variables.

**data analysis**the reduction and organization of a body of data to produce results that can be interpreted by the researcher; a variety of quantitative and qualitative methods may be used, depending upon the nature of the data to be analyzed and the design of the study.

**ego analysis**in psychoanalytic treatment, the analysis of the strengths and weaknesses of the ego, especially its defense mechanisms against unacceptable unconscious impulses.

**gait analysis**see gait analysis.

**gastric analysis**see gastric analysis.

**multiple-locus variable number of tandem repeat analysis**(MLVA) a laboratory tool designed to recognize tandem repeats and other qualities in the genome of an individual to provide a high resolution DNA fingerprint for the purpose of identification.

**multivariate analysis**statistical techniques used to examine more than two variables at the same time.

**power analysis**a statistical procedure that is used to determine the number of required subjects in a study in order to show a significant difference at a predetermined level of significance and size of effect; it is also used to determine the power of a test from the sample size, size of effect, and level of significance in order to determine the risk of Type II error when the null hypothesis is accepted.

**qualitative analysis**the determination of the nature of the constituents of a compound or a mixture of compounds.

**quantitative analysis**determination of the proportionate quantities of the constituents of a compound or mixture.

**SNP analysis**analysis of single nucleotide polymorphisms to assess artificially produced genetic modifications or identify different strains of an organism.

**transactional analysis**a type of psychotherapy based on an understanding of the interactions (transactions) between patient and therapist and between patient and others in the environment; see also transactional analysis.

**analysis of variance**ANOVA; a statistical test used to examine differences among two or more groups by comparing the variability between the groups with the variability within the groups.

**variance analysis**the identification of patient or family needs that are not anticipated and the actions related to these needs in a system of managed care. There are four kinds of origin for the variance: patient-family origin, system-institutional origin, community origin, and clinician origin.

**vector analysis**analysis of a moving force to determine both its magnitude and its direction, e.g., analysis of the scalar electrocardiogram to determine the magnitude and direction of the electromotive force for one complete cycle of the heart.

## a·nal·y·sis of var·i·ance (ANOVA),

a statistical technique that isolates and assesses the contribution of categoric independent variables to variation in the mean of a continuous dependent variable.

## analysis of variance (ANOVA)

a series of statistical procedures for comparing differences among three or more groups, rather than testing each pair of means separately, to determine if differences are due to chance. It is accomplished by examining the differences within the groups as well.

## analysis of variance

A statistical technique for comparing differences between groups.## a·n·al·y·sis of var·i·ance

**(ANOVA)**(ă-nal'i-sis var'ē-ăns)

A statistical technique that isolates and assesses the contribution of categoric independent variables to variation in the mean of a continuous dependent variable.

## analysis

separation into component parts.

**cohort analysis**

the separation of each of two cohorts into component parts and comparing the results.

**current analysis**

analysis performed on contemporary data.

**discriminant analysis**

a form of multivariate analysis in which the objective is to establish a discriminate function. The function (typically a mathematical formula) discriminates between individuals in the population and allocates each of them to a group within the population. The function is established on the basis of a series of measurements or observations made on the individuals.

**economic analysis**

evaluation of the costs and benefits of a commercial enterprise that takes into account additional returns, returns no longer obtained, additional costs and costs no longer incurred, discounting of gains back to the time when the project began, and opportunity costs relating to potential profitability from alternative use of the investment.

**factor analysis**

a multivariate technique which analyzes the underlying structure of a set of data. It is useful in explaining observed relationships amongst a large number of variables in terms of simpler relations.

**guaranteed analysis**

declares the range within which nutrients occur in a manufactured animal food.

**multivariate analysis**

techniques for the study of simultaneous variation in a number of variables. Includes linear discriminant functions, cluster analysis and factor and principal component analysis.

**path analysis**

a statistical technique for testing a limited number of causal hypotheses, the causal relationships between variables, by manipulation of one or more of the variables and predicting the outcome.

**qualitative analysis**

determination of the nature of the constituents of a compound or mixture.

**quantitative analysis**

determination of the proportionate quantities of the constituents of a compound or mixture.

**regression analysis**

a general statistical technique that analyzes the relationship between a dependent (criterion) variable and a set of independent (predictor) variables.

**systems analysis**

analysis of the interaction of a system, e.g. a biological system, often for the purpose of analyzing the differences between systems. See also system.

**analysis of variance**

a statistical method for comparing variables by partitioning the variance of the observations between the effects of the different variables and comparing it with the underlying random variation.

**vector analysis**

analysis of a moving force to determine both its magnitude and its direction, e.g. analysis of the scalar electrocardiogram to determine the magnitude and direction of the electromotive force for one complete cycle of the heart.

## variance

one of the measures of the dispersion of data; the mean squared deviation of a set of values from the mean.

**additive genetic variance**

that portion of phenotypic variance which is due to the additive effect of genes (V

_{A}).**analysis of variance**

a statistical method for comparing values, expressed in terms of means or variance, of one or more variables in several subgroups of a population. Called also anova.

**non-additive genetic variance**

that portion of phenotypic variance which is due to epistatic interactions (V

_{I}) and dominance deviations (V_{D}).**non-genetic variance**

that portion of phenotypic variance which is due to non-genetic effects such as environment (V

_{E}).**phenotypic variance**

a measure of the extent to which individuals vary in their phenotype (V

_{P}). V_{P}= V_{A}+ V_{D}+ V_{I}+ V_{E}.**variance ratio distribution**

see f distribution.

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