Astudy exploring the relationship between financial security (shaky, stable, or very secure) and annual income (low, moderate, or high) on satisfaction with life is an example of a two-way factorial design, specifically, a × factorial design.

3 x 3

Explanation:

          The factorial designs is a research design which allow the researchers to determine  how multiple factors influence a dependent variable, both together and also independently.

          Factorial design studies are established according to the number of levels of the factors. A research study with two factors having two levels at each is called a 2x2 factorial design. In 3x3 factorial design, there are three factors each at three levels.

          In the context, the research study showing relationship between annual income and financial security with life is an example of 3 x 3 factorial design.

Hence the answer is --

3 x 3

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