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In Chi-Square Analysis, the Greater the Number of Cells, the Larger

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In chi-square analysis, the greater the number of cells, the larger the degrees of freedom. The greater the number of cells, the more opportunity exists to calculate a large chi-square value. In other words, the chi-square value can be "inflated" not due to a real association but simply due to the fact that there are more cells in the analysis. This is why degrees of freedom are used to:


Definitions:

Mixed Strategy

A game theory strategy where a player chooses between all possible actions at specified probabilities.

Expected Payoff

Expected payoff is the anticipated value of an investment or decision under uncertainty, calculated as the weighted average of its possible outcomes.

Nash Equilibrium

A concept in game theory where each player's strategy is optimal, considering the strategies of other players, and no player has anything to gain by changing only their own strategy.

Pure Strategies

In game theory, a strategy where a player consistently follows a specific action or plan whenever a particular situation arises.

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