This work is only for understanding Taguchi Method and Factorial Design, in this context, daily subject is selected like “bounces of ball” for making it easy to understand.
Each ball is designed with specific materials, making it appropriate for a particular sport. The balls also have different numbers of bounce that caused by several factors. To measure the number of bounce for the ball, an experiment was conducted by dropping the ball from difference height onto the ground. The heights that used for this experiment are 1 meter and 2 meter. The experiment was comparing a basketball and a football ball. The surface for the balls to bounce also affects the number of ball to bounce before stop. There are two types of surface that being considered in this experiment, rough surface (on grass) and smooth surface (on cement).
To get the accurate results, the experiments are repeated three times for each run. The numbers of ball is counted from when the ball is released until the ball stops bouncing. The experiment is conducted by the same student drop the ball and the others student count the numbers of bounce for the ball. The data obtained from experiment is analyzed by using Factorial method (2 levels and 3 factors) and Taguchi method (4 orthogonal arrays).
The objectives of this experiment are:
- To design of experiment that has at least 3 factors.
- To evaluate the response by using full factorial design and Taguchi method.
- To evaluate the analysis by using Minitab software.
Conditions or scopes of the experiment are:
- Types of the ball which are basketball or football ball.
- The height from the ball released which is 1 meter or 2 meter.
- Types of surface which are rough or smooth.
Factorial designs can be analyze in certain levels and certain factors depend on the experiment itself. Factorial design usually been analyze with 2 level and 2 or more factor. This method will involve ANOVA table, main effect, main interaction and regression model.
For the 22 design geometry and test matrix:
The combination of these two geometry and test matrix used to solve the problem is shown as below: