Assignment 3_fractional factorial

Assignment 3: Fractional Factorial Parth. M. Patel Harshit Mistry Parth Bhuva Kushal Patel Santosh Prajapati Milan Patel Urvil Patel Amalsha Process Quality Engineering – Conestoga College QUAL 8115: Advance Design of Experiments Iain Hastings July 14, 2023

Executive Summary The helicopter experiment identifies the factors affecting the helicopter's flight falling time. On a scale of 1 to 10, the flight quality is evaluated based on two factors: the falling time and the fall quality. We analyze the experimental design using 1/8 fractional factorial because there are 7 factors with 2-factor levels. Based on the study, it was evident that factors influencing the flight, the rotor length, tail length, tail width, paper width, and wing fold, are of high quality in this case. Experimental recipe: To examine the factors which affect the flight time and flight quality of paper helicopters. Objective statement: Through this experiment, we want to find the best helicopter performance according to falling time and falling quality. Response: Helicopter time Factors: 7 factors (Overall width, Rotor length, Tail length, Tail width, Paper type, Paper clip, Point tail) Levels of Factors: Each factor with two-level Experimental design: 1/8 fractional factorial design (no replicates).

Data StdOr der RunOr der Cente rPt Block s over all widt h Rotar lengt h Tail Lengt h Tail widt h Pape r type Pape r clip Point tail Time Quali ty 6 1 1 1 90 105 105 32 Light yes No 2.32 8 2 2 1 1 90 105 102 32 Heav y No Yes 1.2 5 7 3 1 1 82 107 105 32 Light No Yes 2.5 8 16 4 1 1 90 107 105 36 Heav y yes Yes 1.4 5 5 5 1 1 82 105 105 32 Heav y yes Yes 1.05 4 12 6 1 1 90 107 102 36 Light No No 1.9 6 13 7 1 1 82 105 105 36 Heav y No No 1.52 5 11 8 1 1 82 107 102 36 Heav y No Yes 1.62 5 15 9 1 1 82 107 105 36 Light yes No 2.1 7 3 10 1 1 82 107 102 32 Heav y yes No 1.9 6 9 11 1 1 82 105 102 36 Light yes Yes 2.15 7 1 12 1 1 82 105 102 32 Light No No 1.88 6 10 13 1 1 90 105 102 36 Heav y yes No 1.4 5 8 14 1 1 90 107 105 32 Heav y No No 1.6 5 14 15 1 1 90 105 105 36 Light No Yes 3.18 9 4 16 1 1 90 107 102 32 Light yes Yes 2.3 8