A Comparative Statistical Analysis of Singers
Author: Bhagyashree Santosh Mohite (0225029)
Introduction:
The music industry consists of various singers whose performances are widely appreciated and evaluated by audiences. Analyzing the ratings of singers helps in understanding their consistency, vocal ability, and popularity among listeners. Apart from musical talent, factors such as brand value, fan engagement, and consistency play a significant role in shaping a singer’s overall perception. This study examines the perceived performance of selected singers as rated by listeners and followers.
Objective:
To analyze the ratings of singers using one-way ANOVA in order to determine whether significant differences exist among them.
Literature review:
Efficiency and Performance Metrics
Previous studies indicate that the success of singers depends not only on their vocal performance but also on audience perception, branding, and consistency. Even highly popular singers may receive varying ratings due to subjective preferences of listeners.
Comparative Methodology and Statistical Modeling
Recent research highlights the importance of statistical tools like ANOVA in comparing performance across multiple subjects. Instead of relying only on popularity metrics, ANOVA helps determine whether observed differences in ratings are statistically significant.
Data collection:
The data for this study was collected using primary research methods via a structured survey distributed through Google Forms. A total of 30 responses were recorded. Participants were asked to rate the singers—Lata Mangeshkar, Asha Bhosle, Kishore Kumar, and Mohammad Rafi—on a scale of 1 to 10 based on their overall performance, popularity, and consistency, and a One-Way ANOVA was calculated on the compiled data.
Data Analysis:
Anova: Single Factor
SUMMARY
|
Groups |
Count |
Sum |
Average |
Variance |
|
Lata Mangeshkar |
30 |
272 |
9.07 |
1.86 |
|
Asha Bhosle |
30 |
257 |
8.57 |
2.11 |
|
Kishore Kumar |
30 |
262 |
8.73 |
1.86 |
|
Mohammad Rafi |
30 |
246 |
8.20 |
4.99 |
ANOVA
|
Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
|
Between Groups |
11.6917 |
3 |
3.8972 |
1.4402 |
0.2347 |
2.68 |
|
Within Groups |
313.90 |
116 |
2.7060 |
|
|
|
|
Total |
325.59 |
119 |
|
|
|
|
Hypothesis:
H0: Lata Mangeshkar = Asha Bhosle = Kishore Kumar = Mohammad Rafi
H1: Any one of them is different.
Conclusion:
As calculated, F (1.4402) is less than F crit (2.68). Accept H1, meaning any one of them is different.
Reference:
· Kumar, P., & Nagorao, C. G. (2022). A statistical study of performance analysis using ANOVA techniques. Journal of Modern Mathematics and Statistics, 17(1), 1–8.
· Singh, S. (2011). Measuring performance efficiency using statistical tools. American Journal of Operations Research, 1(03), 180–184.