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Willard Ch 13
Statistics
Term | Definition |
---|---|
F statistic | ratio of between-treatments variance to within-treatments variance. |
F statistics | no negative values, no two-tailed tests. |
ANOVA | acronym for analysis of variance. allows for comparison of 2,3,4 or more groups simultaneously using only one alpha level and thus avoids the buildup of alpha error. |
Assumptions for ANOVA | Independent and random selection of subjects. The dependent variable can be measured on an interval or ratio scale. |
Assumptions for ANOVA continued | The dependent variable is normally distributed in the population of interest. Homogeneity of variance of the dependent variable in the populations of interest. |
post hoc tests | conducted after null hypothesis rejected and there are three or more treatment groups. Used to distinguish which means differ significantly. |
eta squared | effect size for ANOVA |
Experiment-wise alpha level | accumulated probability of a type I error (rejecting a null hypothesis that is true) |
one-way analysis of variance | manipulating only one independent variable. |
between-treatment variance | variability between the treatment groups. Individual differences+Experimental error+Treatment |
within-treatment variance | variability within a particular sample. Individual differences+Experimental error. |