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15 Cards in this Set

  • Front
  • Back

F-ratio

The test statistic for analysis of variance is called an F-ratio and compares the differences (variance) between treatments with the differences (variance) that are expected by chance.

Analysis of Variance (ANOVA)

hypothesis-testing procedure that is used to evaluate mean differences between two or more treatments (or populations).

F value formula (Independent ANOVA)


+


F critical

MS Between Tx df Between Tx


________________ ________________




MS within df Within

F value forumla (Repeated measures ANOVA)


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F critical

Ms Between Tx df Between Tx


_______________ _______________




MS error df error

experiment wise alpha level

The risk of a Type I error that accumulates as you do more and more separate tests.

mean square (MS)

In analysis of variance, a sample variance is called a mean square or MS, indicating that variance measures the mean of the squared deviations.

post hoc tests (Tukey's HSD)

A test that is conducted after an ANOVA with more than two treatment conditions where the null hypothesis was rejected. The purpose of post hoc tests is to determine exactly which treatment conditions are significantly different.

scheffe test

A test that uses an F-ratio to evaluate the significance of the difference between any two treatment conditions. One of the safest of all possible post hoc tests.

interaction

Mean differences that cannot be explained by the main effects of the two factors. An interaction exists when the effects of one factor depend on the levels of the second factor.

main effect

The overall mean differences between the levels of one factor. When the data are organized in a matrix, the main effects are the mean differences among the rows (or among the columns).

analysis of regression

Evaluating the significance of a regression equation by computing an F-ratio comparing the predicted variance (MS) in the numerator and the unpredicted variance (MS) in the denominator.

linear relationship

A relationship between two variables where a specific increase in one variable is always accompanied by a specific increase (or decrease) in the other variable.

partial correlation

A partial correlation measures the relationship between two variables while controlling the influence of a third variable by holding it constant.

regression

A statistical technique used for predicting one variable from another. The statistical process of finding the linear equation that produces the most accurate predicted values for Y using one predictor variable, X.

standard error of the estimate

A measure of the average distance between the actual Y values and the predicted values from the regression equation.