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Statistics in Education and Psychology by R. P. Pathak

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6

Analysis of Variance

An analysis of variance (ANOVA) makes the determination possible with a single test, rather than ten. Another advantage lies in the fact that computing a number of separate t-tests, by chance alone, may appear to yield significant differences. Another advantage of ANOVA over the t-test is that ANOVA provides information about the joint influence (interaction) of the variables. In single classification, or one-way ANOVA, the relationship between one independent and one dependent variable is examined. The total variance is analyzed by within variance and between variance, this being the reason why the technique is known as analysis of variance.

The critical ratio z and t-test were employed to determine, after treatment, ...

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