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Paper Plane Experiment
Data file: Paper planes.mtw
The data was collected by Stewart Fischer and David Tippetts, statistics students at the Queensland University of Technology in a subject taught by Dr Margaret Mackisack. Here is their de******ion of the data and its collection:
The experiment decided upon was to see if by using two different designs of paper aeroplane, how far the plane would travel. In considering this, the question arose, whether different types of paper and different aero-plane designs would have any effect on the distance traveled. Knowing that paper aero-planes are greatly influenced by wind, we had to find a way to eliminate this factor. We decided to perform the experiment in a hallway of the University, where the effects of wind can be controlled to some extent by closing doors.
In order to make the experimental units as homogeneous as possible we allocated one person to a task, so person 1 folded and threw all planes, person 2 calculated the random order assignment, measured all the distances, checked that the angles of flight were right, and checked that the plane release was the same each time.
The factors that we considered each had two levels as follows:
Paper: A4 size, 80gms and 50gms
Design: High Performance Dual Glider, and Incredibly Simple Glider (patterns attached to original report)
The random order assignment was calculated using the random number function of a calculator. Each combination of factors was assigned a number from one to four, the random numbers were generated and accordingly the order of the experiment was found.

Variable De******ion
Distance Distance travelled in mm
Paper 80gms = 1, 50gms = 2
Design High-performance = 1, Incredibly simple = 2
Order Order in which the runs were conducted

a) Explain the importance of the random order assignment of settings in the experiment.
b) Use graphical methods to investigate the effects of the three factors (paper type, angle, and design) on the distance traveled by the paper aero-plane.
c) Use an inferential statistical method to analyze this data and determine the effects of the combination of settings of paper and design on the distance traveled by the paper aero-plane. Determine the optimal settings that make the aero-plane fly farthest.

 

 

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