Researcher randomly select and weigh men and women (as in...

Researcher randomly select and weigh men and women (as in Data Set 1 in Appendix $B$ ). Their weights are centered in the table below, so that each cell includes five weights. What characteristic of the data suggests that the appropriate method of analysis is two-way analysis of variance? That is, what is "two-way" about the data?

Researcher randomly select and weigh men and women (as in Data
Set 1 in Appendix $B$ ). Their weights are centered in the table below, so that each cell includes five weights. What characteristic of the data suggests that the appropriate method of analysis is two-way analysis of variance? That is, what is "two-way" about the data?

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Key Concepts

Two-Way Analysis of Variance

Two-way ANOVA is an extension of one-way ANOVA that is used when there are two categorical independent variables (factors) affecting a single continuous response variable. In this context, the weights are classified according to two factors, which might include, for example, men and women as one factor and another grouping variable (such as different sampling periods, treatments, or blocks) as the second factor.

Factors in Experimental Design

This concept refers to the independent categorical variables that define the groups in an experiment. In the given data, the two different classifications (or factors) are organized in a table layout, meaning that each cell represents a unique combination of the levels of the two factors. Analyzing data structured in this way requires methods that account for variation due to both sources.

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