Name- Ayush Bhosale (21331025601)
1. Introduction
In the film industry, audience ratings serve as a critical metric for evaluating the success and reception of a product. Listener or viewer ratings represent a quantitative measure of perceived quality, entertainment value, and emotional resonance. Comparing these ratings across different movies allows researchers and studios to understand if certain films consistently outperform others or if audience appreciation is uniform across diverse genres and narrative styles. This study utilizes One-Way Analysis of Variance (ANOVA) to determine if there are significant differences in the average ratings among four highly acclaimed films.
2. Objectives of the Study
- To calculate and compare the mean listener ratings for the four selected movies.
- To determine if there is a statistically significant difference in the ratings across the different film titles.
- To provide an empirical basis for understanding audience preferences among the selected sample.
3. Data Collection
The dataset consists of ratings collected from 40 respondents for each of the following four movies:
- Joker
- Inception
- The Shawshank Redemption
- The Wolf of Wall Street
The ratings were measured on a numerical scale (typically 1-10), providing a total of 156 observations for the comparative analysis.
4. Data Analysis
|
ANOVA |
||||||
|
Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
|
Between Groups |
108.891 |
3 |
36.29701 |
5.28099 |
0.001717 |
2.664107 |
|
Within Groups |
1044.718 |
152 |
6.873144 |
|||
|
Total |
1153.609 |
155 |
|
|
|
|
Based on the ANOVA table provided in the image, here is a summary of the data analysis:
Summary of Data Analysis
Analysis Type: One-Way ANOVA (Single Factor). This test evaluates whether there is a statistically significant difference between the means of three or more independent groups.
Group and Sample Size
- Number of Groups ($k$): Based on the $df$ (degrees of freedom) between groups being 3, your study compared 4 different groups.
- Total Observations ($N$): With a total $df$ of 155, your analysis included a total sample size of 156 observations across all groups.
- Degrees of Freedom ($df$): There are 3 degrees of freedom for the variation between groups and 152 for the variation within groups (error).
5. Hypothesis Testing
- Null Hypothesis (H0): There is no significant difference between the mean listener ratings of the four movies (µ=1 µ=2 µ=3 µ=4).
- Alternative Hypothesis (Ha): At least one movie’s mean rating is significantly different from the others.
6. Interpretation
The One-Way ANOVA test yielded an F-statistic of 5.28, which is greater than the Critical F-value (F crit) of 2.66. Furthermore, the calculated P-value is 0.0017, which is significantly lower than the standard alpha level of $0.05$.
7. Decision Rule
- If P < 0.05, Reject H0.
- If P 0.05, Fail to Reject H0.
Result: Since 0.0017 < 0.05, we Reject the Null Hypothesis.
8. Inference
The statistical analysis indicates that there is a significant difference in how listeners rated the four movies. While the averages for Joker and Inception are identical (7.15), the overall variation between the groups (especially compared to The Wolf of Wall Street) is statistically meaningful and not due to random chance.
9. Conclusion
The study concludes that audience reception is not uniform across all blockbuster films. The ratings for Joker and Inception tend to be higher and more consistent compared to The Wolf of Wall Street. These differences may be attributed to varying narrative complexities, thematic appeal, or viewer expectations associated with the specific genres of these films.
10. References
- Gavilan, D., Fernández Lores, S., & Martinez-Navarro, G. (2019). The influence of Online Ratings on Film Choice: Decision Making and Perceived Risk. Communication & Society, 32(2), 45-59.
- Eliashberg, J., & Shugan, S. M. (1997). Film critics: Influencers or predictors?. Journal of Marketing, 61(2), 68-78.