Title: Comparison of Four Popular Smartphones
Author: Janhavi Wanare
Introduction: This survey report analyses student ratings for four popular Smartphone Brands: The iPhone is known for its premium design, seamless iOS experience, and strong integration within the Apple ecosystem. OnePlus offers high-end performance at competitive prices, with a clean and fast Android experience. Google Pixel excels in camera quality, AI features, and timely software updates, delivering a pure Android experience. Samsung leads with a wide range of smartphones, praised for their advanced display technology, powerful hardware, and customizable Android interface.
Objective: To compare the four Popular Smartphones
Data Collection: In this report, 30 students from ITM rated four Smartphones on a scale of 1 to 10 via a Google Form, with 1 representing the lowest rating and 10 the highest. A one-way ANOVA analysis was then performed using Excel to assess the differences in their ratings.
Data Analysis:
|
ANOVA: Single Factor |
ANOVA
|
Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
|
Between Groups |
31.76667 |
3.00000 |
10.58889 |
1.57759 |
0.19857 |
2.68281 |
|
Within Groups |
778.60000 |
116.00000 |
6.71207 |
|||
|
Total |
810.36667 |
119.00000 |
|
|
|
|
The F-statistic (1.57759) represents the ratio of the mean square between groups to the mean square within groups, which tests whether the variability between group means is greater than what would be expected by chance. The P-value (0.19857) indicates the probability of observing the data assuming the null hypothesis (no difference between group means) is true. If the P-value is less than , we reject the null hypothesis, suggesting a significant difference between group means. Conversely, if the P-value is greater than or equal to 0.05, we fail to reject the null hypothesis, meaning the differences are not statistically significant. The critical F-value at a 0.05 significance level is 2.68281. If the calculated F-value exceeds this threshold, we reject the null hypothesis.
Null Hypothesis (H₀): There is no significant difference in the mean ratings of I-Phone, One Plus, Google, Samsung. (The means of the groups are equal.)
Alternative Hypothesis (H₁): There is a significant difference in the mean ratings of at least one pair of I-Phone, One Plus, Google, Samsung. (At least one group mean is different.)
The F-Value of 2.748 is the ratio of these MS values. The critical value of F at a 0.05 significance level is 2.683. With a P-value of 0.046, less than the 0.05 significance level, we reject the null hypothesis (no difference between group means), indicating a significant difference between the chocolate brands’ ratings. This implies that consumer preferences vary significantly among these brands. Including a bar chart to visualize average ratings can illustrate these differences effectively.
Conclusion:
The P-value is 0.19857, which is greater than 0.05, and the F-value (1.57759) is less than the critical F (2.68281).
This means we fail to reject the null hypothesis, indicating that there is no statistically significant difference between the means of the groups.