A Statistical Analysis of Audience Ratings for Ghazal Artists
Author: Ritesh Pramod Borkar
Introduction:
Ghazal music holds a significant place in Indian and Pakistani music. Legendary artists like Jagjit Singh, Chitra Singh, Ghulam Ali, Mehdi Hasan, and Nusrat Fateh Ali Khan have shaped this genre.
This study analyzes audience ratings of these artists to understand differences in perception.
Objective:
To compare audience ratings of selected ghazal artists using One-Way ANOVA.
Literature Review:
1. Application of ANOVA in Statistical Analysis
In this study, Andy Field (2013) explained that Analysis of Variance (ANOVA) is a powerful statistical technique used to compare means across multiple groups. The author emphasized that ANOVA helps in identifying whether observed differences among group means are statistically significant or due to random variation. The study also highlighted the importance of assumptions such as normality and homogeneity of variance for accurate results in behavioral and social science research.
2. Experimental Design and Data Interpretation
In this study, Douglas C. Montgomery (2017) discussed the role of experimental design in analyzing data effectively. The research indicated that proper structuring of experiments, including sample size and group selection, is essential for obtaining reliable results. The study concluded that techniques like ANOVA are widely used in comparing multiple treatments or groups and are crucial for decision-making in research and industry.
Data Collection:
A data for Ghazal Artists was collected through a structured questionnaire from 30 respondents. The respondents were asked to rate the clothing brands on a scale of 0–10 based on their preference. The ratings given by respondents were compiled in Microsoft Excel. The ratings of Ghazal Artists were taken as four different groups and ANOVA: Single Factor method was applied to analyse the differences among the artist ratings.
Summary Table
|
Artist |
Count |
Sum |
Average |
Variance |
|
Jagjit Singh |
30 |
215 |
7.17 |
9.87 |
|
Chitra Singh |
30 |
198 |
6.60 |
10.25 |
|
Ghulam Ali |
30 |
211 |
7.03 |
9.96 |
|
Mehdi Hasan |
30 |
223 |
7.43 |
7.43 |
|
Nusrat Fateh Ali Khan |
30 |
263 |
8.77 |
4.60 |
ANOVA Table
|
Source |
SS |
df |
MS |
F |
P-value |
F crit |
|
Between Groups |
80.93 |
4 |
20.23 |
2.40 |
0.0525 |
2.43 |
|
Within Groups |
1221.07 |
145 |
8.42 |
– |
– |
– |
|
Total |
1302 |
149 |
– |
– |
– |
– |
Data Analysis:
ANOVA: Single Factor
Between Groups SS = 80.9333, Within Groups SS = 1221.0667
F = 2.4027, P-value = 0.0525, F crit = 2.4341
N = 150 observations, Number of Groups = 5
Interpretation:
The above ANOVA result shows the comparison among the audience ratings of ghazal artists including Jagjit Singh, Chitra Singh, Ghulam Ali, Mehdi Hasan and Nusrat Fateh Ali Khan.
The calculated F value (2.4027) is less than the F critical value (2.4341). The P-value (0.0525) is greater than 0.05, which means the result is not statistically significant at the 5% level. This indicates that there is no significant difference among the average ratings of the selected ghazal artists given by the respondents.
Therefore, the audience preferences towards these ghazal artists are almost similar, although the result is very close to being statistically significant.
Conclusion:
Since F (2.40) < F crit (2.43) and p-value > 0.05, we fail to reject the null hypothesis (H₀).
This indicates that there is no statistically significant difference in audience ratings among the selected ghazal artists, although the results are very close to significance.
References:
Field, A. (2013). Discovering Statistics Using IBM SPSS Statistics. Sage Publications.
Montgomery, D. C. (2017). Design and Analysis of Experiments. Wiley.
Primary data collected through Google Forms survey