The Test Statistics for One-Way ANOVA Is $F = \frac { \text { variance between samples } } { \text { variance within samples } }$

question 177

Essay

The test statistics for one-way ANOVA is $F = \frac { \text { variance between samples } } { \text { variance within samples } }$ .
Describe variance .
within samples and variance between samples. What relationship does variance within
samples and variance between samples would result in the conclusion that the value of F is
significant?

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Definitions:

Determined Behavior

Behavior that is seen as controlled or dictated by internal or external factors, leaving little to no choice for the individual.

Observable Object

An object or phenomenon that can be perceived or noticed through the senses or scientific instruments.

Deviance

Behaviors or actions that violate social norms and expectations, which can range from minor to serious transgressions.

Determinism

The philosophical theory that all events, including moral choices, are completely determined by previously existing causes, suggesting that free will may be an illusion.