Title: Compariaon of four Car Brands using ANOVA: Single Factor method
Author: Walsh Varughese
F4 2024-26 – 021330024479, ITM Business School, Kharghar, Maharashtra, India
Introduction: This report focuses on understanding preferences of students at ITM Business School regarding four major luxury car brands: BMW, Mercedes-Benz, Audi, and Jaguar. Each brand is known for its distinct qualities—BMW stands out for its sporty performance, Mercedes-Benz is renowned for its luxury and comfort, Audi leads in cutting-edge technology, and Jaguar is recognized for its style and driving dynamics. By analyzing the students perceptions, this report aims to uncover the factors influencing their choices among these prestigious brands.
Objective: To find out if there are significant differences in the preferences of ITM students for the mentioned Car Brands.
Data Collection: 25 students of ITM Business School were surveyed. Each student rated four Car brands i.e. BMW, Mercedes, Audi and Jaguar on a scale of 1 to 10, where 1 indicates low preference and 10 indicates high preference. The ratings for each car brands were recorded for analysis
Data Analysis: The ANOVA: Single Factor test was performed to compare the means of the ratings across the four car brands
The hypotheses for the test are:
Null Hypothesis (H0): There is no significant difference in the average ratings of BMW, Mercedes, Audi and Jaguar
Alternate Hypothesis (H1): At least one of the Car Brand has a significantly different average rating.
The results of carrying out ANOVA: Single Factor test is shown below
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 19.79 3 6.596667 3.038772 0.032749 2.699393
Within Groups 208.4 96 2.170833
Total 228.19 99
Since the P-value is 0.03 which is smaller than the standard significance level of 0.05, we reject the null hypothesis
Conclusion: There is at least one Car brand which has a significant difference in the ratings given by the students of ITM. Therefore, all are not the same.