Question

Difficulty: HardIdentifying Independent, Dependent, and Controlled Variables

Biomechanical engineers investigated how the initial knee flexion angle affects the peak vertical ground reaction force generated by athletes during a countermovement jump on a stationary force plate. In the experiment, athletes performed jumps starting from pre-determined knee flexion angles (30°, 45°, 60°, and 75°), while force plate sensors continuously recorded the maximum force exerted against the platform during takeoff. All trials were conducted using the same athlete cohort wearing identical athletic footwear under standardized indoor temperature and humidity conditions. Based on this experimental design, match each experimental component to its corresponding variable classification.

  • Initial knee flexion angle (30°, 45°, 60°, 75°)Independent Variable
  • Peak vertical ground reaction force recorded by the force plateDependent Variable
  • Athletic footwear and indoor environment parametersControlled Variable

Answer

The initial knee flexion angle is the independent variable, the peak vertical ground reaction force is the dependent variable, and the athletic footwear and indoor environment parameters are controlled variables.
The initial knee flexion angle is the independent variable because researchers systematically set it to specific angles (30°, 45°, 60°, 75°). The peak vertical ground reaction force is the dependent variable because it is the outcome measured by the force plate. The athletic footwear and environment parameters are controlled variables because they are held constant across all trials to isolate the relationship between knee angle and force production.

Step-by-Step Solution

1
Identify the factor intentionally manipulated across trials.
The initial knee flexion angle is set to specific discrete values (30°, 45°, 60°, 75°), establishing it as the independent variable.
The independent variable is the factor directly manipulated by experimenters to test its hypothesis.
2
Identify the variable measured as the experimental outcome.
The peak vertical ground reaction force is registered by force plate sensors as a result of the jump movement, establishing it as the dependent variable.
The dependent variable represents the measured quantitative outcome that varies in response to the independent variable.
3
Identify experimental parameters held constant across all conditions.
Athletic footwear and environmental conditions are maintained uniformly for all trials, establishing them as controlled variables.
Controlled variables must remain unchanged throughout testing to ensure that observed changes in the dependent variable are solely attributable to the independent variable.

Key Concept

Identifying Independent, Dependent, and Controlled Variables
Estimated Time:1m 30s
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