Title: One Way ANOVA calculation for 4 Products.
Author: Vighnesh Jadhav
MMS, Batch A
Roll No. 18
Introduction:
In this analysis 4 products have been taken, namely:
1. Yamaha : Yamaha Motor Co., Ltd. is a Japanese mobility manufacturer that produces motorcycles, motorboats, outboard motors, and other motorized products. The company was established in 1955 upon separation from Nippon GakkiCo., Ltd. and is headquartered in Iwata, Shizuoka, Japan.
2. Honda:Honda Motor Co., Ltd. is a Japanese public multinational conglomerate manufacturer of automobiles, motorcycles, and power equipment, headquartered in Minato, Tokyo, Japan. Honda has been the world’s largest motorcycle manufacturer since 1959, reaching a production of 400 million by the end of 2019
3. Suzuki: Suzuki Motorcycle India, Private Limited is the wholly owned Indian subsidiary of Suzuki, Japan. It was the third Suzuki automotive venture in India, after TVS Suzuki and Maruti Suzuki.
4. Royal Enfield : Royal Enfield was a brand name under which The Enfield Cycle Company Limited of Redditch, Worcestershire sold motorcycles, bicycles, lawnmowers and stationary engines which they had manufactured. Enfield Cycle Company also used the brand name “Enfield” without the “Royal”
Objective: To Compare 4 Products by the way of One Way ANOVA.
Data Collection: Students of our batch were requested to grade the following products on the scale of 1-10 and One Way ANOVA was calculated.
Data Analysis:
Hypothesis:
H0: All products are equal (A=B=C=D)
H1: Any one of products is different.
|
Source of Variance |
SS |
DF |
MSS |
F |
|
Between Groups |
127.1375 |
3 |
42.3791 |
|
|
Within Groups |
508.25 |
76 |
6.6875 |
|
|
Total |
635.3875 |
79 |
|
6.3370 |
Result: Table F=0.05, 3 DF, 76 DF = 2.72
As Calculated F = 6.3370 is more than tabulated F= 2.72, accept H1, reject H0, which means all the products are different.