FULL FACTORIAL
ž Document and describe how you performed the FULL FACTORIAL data analysis to solve the case study.
› Determine the effect of single factors and their ranking.
Factor A is arm length. Arm length will affect how much energy can be provided to the weight of the projectile. Shorter arm length will provide more energy to the projectile to fly.
Factor B is projectile weight. The weight of the projectile determines how much energy needed to fly. Lower weight of projectile will require less energy.
Factor C is stop angle. Angle of the arm will influence how much the energy supply to the ball to fly. Lower angle will provide more energy to the projectile to fly.
Ranking:
Factor C
Factor A
Factor B
Factor C is the most affecting factor that increases the distance of flight. The lower the angle, the further the distance. Thus, lower angle is recommended to have the furthest distance.
Factor A is on second ranking. The shorter the arm length, the more energy for the ball to fly. Ergo, the shorter arm length, the furthest the distance of flight.
Factor B has the least effect on having the furthest distance of flight. However, the lighter the projectile weight, the furthest the distance of flight. Therefore, lighter the projectile weight is suggested to obtain the furthest distance of flight.
› Determine the interaction effects.
The gradient of both lines are positive and different values. Therefore there’s a significant interaction between A and B.
The gradient of both lines are different by a little margin. Therefore there’s an interaction between A and C, but the interaction is small. If both lines are parallel, then there’s NO interaction.
The gradient of both lines are different (one is + and the other is -). Therefore there’s a significant interaction between B and C.
› Include all tables and graphs both as pictures and as excel file (hyperlink to google drive or OneDrive)
› Include the conclusion of the data analysis for full factorial data analysis
In conclusion, the lower the arm length, the lower the weight of the projectile, the lower the stop angle can obtain the furthest of the distance of flight.
FRACTIONAL FACTORIAL
ž Document and describe how you performed the FRACTIONAL FACTORIAL data analysis by selecting 4 experiment from the full factorial data that are orthogonal to solve the case study.
› Determine the effect of single factors and their ranking.
Factor A is arm length. Arm length will affect how much energy can be provided to the weight of the projectile. Shorter arm length will provide more energy to the projectile to fly.
Factor B is projectile weight. The weight of the projectile determines how much energy needed to fly. Lower weight of projectile will require less energy.
Factor C is stop angle. Angle of the arm will influence how much the energy supply to the ball to fly. Lower angle will provide more energy to the projectile to fly.
Ranking:
Factor C
Factor B
Factor A
Factor C is the most affecting factor that increases the distance of flight. The lower the angle, the further the distance. Thus, a lower angle is recommended to have the furthest distance.
Factor B is on second ranking. The lighter the projectile weight, the furthest the distance of flight. Therefore, lighter the projectile weight is suggested to obtain the furthest distance of flight.
Factor A has the least effect on having the furthest distance of flight.The shorter the arm length, the more energy for the ball to fly. Ergo, the shorter arm length, the furthest the distance of flight.
› Include all tables and graphs both as pictures and as excel file (hyperlink to google drive or OneDrive)
› Include the conclusion of the data analysis for fractional factorial data analysis.
To have the furthest distance of the projectile, lower angle, lighter weight of projectile and shorter arm length will give the best result.
ž Type your personal learning reflection on this Design Of Experiment learning experiences in the tutorial and also in the practical. Remember to follow the guide on writing learning reflection.
In the tutorial session, I had learned how fractional factorial data and full factorial data will affect our final result. Full factorial method is more recommended to utilise if we had enough time and resources since the data will be more suitable to use. It doesn't mean that fractional factorial data is not accurate, this method can be used when we are lacking time and resources. However, there will be differences in the final result. These methods have also guided us on how to get the best results out of all the data.
In practical, it was quite a fun experience because we can learn a lot during the session. As all our predictions work in the game although it has taken us a lot of effort and time. The data that we collected can be used in the challenge. The challenge is to hit down four targets with different distance. Therefore, we utilised the data and hit down the targets. The feeling was like on the top of a roller coaster that we were trying our best to hit down the target. Full factorial data is more accurate than fractional factorial data. The practical also proved the words “time you enjoy wasting, was not wasted.” The practical also reflected on the difference between the full factorial and fractional factorial which what we learned had been proved by the experiment.
CASE STUDY
What could be simpler than making microwave popcorn? Unfortunately, as everyone who has ever made popcorn knows, it’s nearly impossible to get every kernel of corn to pop. Often a considerable number of inedible “bullets” (un-popped kernels) remain at the bottom of the bag. What causes this loss of popcorn yield? In this case study, three factors were identified:
1. Diameter of bowls to contain the corn, 10 cm and 15 cm
2. Microwaving time, 4 minutes and 6 minutes
3. Power setting of microwave, 75% and 100%
8 runs were performed with 100 grams of corn used in every experiments and the measured variable is the amount of “bullets” formed in grams and data collected are shown below:
Factor A= diameter
Factor B= microwaving time
Factor C= power
Power setting of the microwave is affecting the yield of popcorn. As the bullets required enough energy to pop.
Microwaving time also influences the yield of popcorn. Since it can ensure all heat energy to be absorbed by the kernels to pop. Longer time is recommended to allow the heat energy transfer to kernels.
Diameter of the kernel also has an effect on the yield of popcorn. The smaller the size of the kernel, heat energy that is required is also lesser.
Ranking:
Factor C (Power)
Factor B (Microwaving time)
Factor A (Diameter)
Factor C is the most affecting factor that increases the popcorn yield. The higher the power, the lesser the bullets left. Thus, higher power is recommended to have the highest yield of popcorn.
Factor B is on second ranking. The longer the microwaving timing, the more time for kernels to absorb the heat energy to pop. Therefore, longer microwaving time is suggested to obtain more yield of popcorn.
Factor C has the least effect on yielding the popcorn. However, the smaller the diameter of kernels will also affect the yield of popcorn. As the smaller the size of kernels, less heat energy is needed for kernels to pop.
Therefore, increasing the power and microwaving time will be more significant to increase the yield of popcorn.
Fractional Factorial
Power setting of the microwave is affecting the yield of popcorn. As the bullets required enough energy to pop.
Microwaving time also influences the yield of popcorn. Since it can ensure all heat energy to be absorbed by the kernels to pop. Longer time is recommended to allow the heat energy transfer to kernels.
Diameter of the kernel also has an effect on the yield of popcorn. The smaller the size of the kernel, heat energy that is required is also lesser.
Ranking:
Factor C (Power)
Factor A (Diameter)
Factor B (Microwaving time)
Factor C is the most affecting factor that increases the popcorn yield. The higher the power, the lesser the bullets left. Thus, higher power is recommended to have the highest yield of popcorn.
Factor A is on second ranking.However, the smaller the diameter of kernels will also affect the yield of popcorn. As the smaller the size of kernels, less heat energy is needed for kernels to pop
Factor B has the least effect on yielding the popcorn. The longer the microwaving timing, the more time for kernels to absorb the heat energy to pop. Therefore, longer microwaving time is suggested to obtain more yield of popcorn.
Therefore, increasing the power and decreasing the diameter of kernels will be more significant to increase the yield of popcorn.
Comments
Post a Comment