The JMP Paper Helicopter Experiment Through this, we will look into the differences between tests and experiments and how to find optimal conditions.
There is also a factor for paper (Magazine or Copy) in the guide, but in this experiment, the experiment was conducted with two factors and two levels (values). The two factors are the length and width of the helicopter blades, with levels of long/short and wide/narrow respectively.
However, in order to consider possible quadratic effects when designing future experimental plans, the level was set to continuous (4.7 / 7.6 cm) rather than discrete (long/short). Two experimenters each repeated the experiment twice, conducting a total of 16 experiments. The flight time of a helicopter falling from a height of 2 meters was measured using the stopwatch function of a smartphone.
JMP Data Table
First, it can be seen that there is a difference in flight time between the two experimenters. This is interpreted as a difference that appears because the two experimenters each created a paper helicopter.
Even without designing an experimental plan, we can know which conditions produce the longest flight time. This means that optimal conditions can be found through historical data. In , we can see that the helicopter called H2 (with long and wide wings) has the longest flight time.
What would happen if we consider the following things here?
One. Is it necessary to do the experiment 16 times? Can't we get the results we want by doing fewer experiments than 16 times?
2. Can't we see quadratic effects other than two-factor interactions?
If these requirements exist, they can be implemented through Custom Design in JMP's DoE platform.
Our goal is to lengthen (maximize) the flight time, and whether the length and width of the wings that affect the flight time have a meaningful effect, and to what extent, the two factors interact with each other. Through this experimental plan, we would like to find out whether there is a curvature effect or whether the two factors also have a curvature effect.
We designed 12 experiments as above and conducted the experiment again, and the results were
One. At the 10% significance level, the effect of wing length curvature is not statistically significant.
2.At the 10% significance level, the effect of curvature of wing length and the interaction between wing length and width are statistically significant.
3. The condition for maximizing flight time is the longest and widest wings, as in the previous test results.
Additional considerations
One. Additional analysis is needed on the interaction between the length and width of helicopter wings and the effect of curvature on the wing width.
2. It was confirmed that the flight time becomes longer when the length and width of the wings are the largest under the given conditions. So, does it make sense for the length and width of the wings to grow infinitely? What is the length and width that becomes the inflection point? Additional analysis on this is also needed.
A summary of the helicopter experiment process and results using JMP Paper and the insights that can be gained from it.
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